diff --git a/MyIA.AI.Notebooks/Probas/Applications/Percolation/Percolation-03-Critique-Python.ipynb b/MyIA.AI.Notebooks/Probas/Applications/Percolation/Percolation-03-Critique-Python.ipynb index c9e2181474..d533904568 100644 --- a/MyIA.AI.Notebooks/Probas/Applications/Percolation/Percolation-03-Critique-Python.ipynb +++ b/MyIA.AI.Notebooks/Probas/Applications/Percolation/Percolation-03-Critique-Python.ipynb @@ -5,10 +5,10 @@ "id": "b6372f13", "metadata": { "papermill": { - "duration": 0.002712, - "end_time": "2026-10-09T11:50:45.365453+00:00", + "duration": 0.002254, + "end_time": "2026-10-09T13:41:54.765374+00:00", "exception": false, - "start_time": "2026-10-09T11:50:45.362741+00:00", + "start_time": "2026-10-09T13:41:54.763120+00:00", "status": "completed" }, "tags": [] @@ -47,10 +47,10 @@ "id": "776391e2", "metadata": { "papermill": { - "duration": 0.002204, - "end_time": "2026-10-09T11:50:45.370934+00:00", + "duration": 0.002748, + "end_time": "2026-10-09T13:41:54.770820+00:00", "exception": false, - "start_time": "2026-10-09T11:50:45.368730+00:00", + "start_time": "2026-10-09T13:41:54.768072+00:00", "status": "completed" }, "tags": [] @@ -71,7 +71,7 @@ "| `ν` | 4/3 (exact) | `ξ ~ |p - p_c|^{-ν}` |\n", "| `γ` | 43/18 ≈ 2.389 | `χ ~ |p - p_c|^{-γ}` |\n", "| `τ'` | 187/91 ≈ 2.055 | `P(s) ~ s^{-τ'}` au point critique |\n", - "| `β/ν` | 5/48 ≈ 0.104 | Exposant de `M(L, 1/2) / L²` à `p_c` |\n", + "| `β/ν` | 5/48 ≈ 0.1042 | Exposant de `M(L, 1/2) / L²` à `p_c` |\n", "| `1/ν` | 3/4 | Exposant de la convergence `p_c(L) → 1/2` |\n", "\n", "**Convention honnête** : sur des tores `L ≤ 64`, les exposants mesurés\n", @@ -89,16 +89,16 @@ "id": "335107dc", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:50:45.379220Z", - "iopub.status.busy": "2026-10-09T11:50:45.378861Z", - "iopub.status.idle": "2026-10-09T11:50:46.301474Z", - "shell.execute_reply": "2026-10-09T11:50:46.300806Z" + "iopub.execute_input": "2026-10-09T13:41:54.775562Z", + "iopub.status.busy": "2026-10-09T13:41:54.775229Z", + "iopub.status.idle": "2026-10-09T13:41:55.535567Z", + "shell.execute_reply": "2026-10-09T13:41:55.534913Z" }, "papermill": { - "duration": 0.92977, - "end_time": "2026-10-09T11:50:46.303164+00:00", + "duration": 0.764672, + "end_time": "2026-10-09T13:41:55.537250+00:00", "exception": false, - "start_time": "2026-10-09T11:50:45.373394+00:00", + "start_time": "2026-10-09T13:41:54.772578+00:00", "status": "completed" }, "tags": [] @@ -119,7 +119,7 @@ "\n", "# RNG helpers : seeds canoniques pour reproductibilité\n", "CANON_SEEDS = [0, 1, 7, 42, 99] # seeds principaux\n", - "AUX_SEEDS = list(range(100, 124)) # 24 seeds auxiliaires = 32 seeds total\n", + "AUX_SEEDS = list(range(100, 127)) # 27 seeds auxiliaires + 5 canoniques = 32 seeds\n", "\n", "def rng_for(seed):\n", " return np.random.default_rng(seed)\n", @@ -132,10 +132,10 @@ "id": "14b7dc35", "metadata": { "papermill": { - "duration": 0.004164, - "end_time": "2026-10-09T11:50:46.312373+00:00", + "duration": 0.00223, + "end_time": "2026-10-09T13:41:55.541737+00:00", "exception": false, - "start_time": "2026-10-09T11:50:46.308209+00:00", + "start_time": "2026-10-09T13:41:55.539507+00:00", "status": "completed" }, "tags": [] @@ -164,16 +164,16 @@ "id": "c97a53e2", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:50:46.322622Z", - "iopub.status.busy": "2026-10-09T11:50:46.321892Z", - "iopub.status.idle": "2026-10-09T11:50:46.342243Z", - "shell.execute_reply": "2026-10-09T11:50:46.341691Z" + "iopub.execute_input": "2026-10-09T13:41:55.549878Z", + "iopub.status.busy": "2026-10-09T13:41:55.549290Z", + "iopub.status.idle": "2026-10-09T13:41:55.564833Z", + "shell.execute_reply": "2026-10-09T13:41:55.564347Z" }, "papermill": { - "duration": 0.027133, - "end_time": "2026-10-09T11:50:46.343722+00:00", + "duration": 0.021208, + "end_time": "2026-10-09T13:41:55.565957+00:00", "exception": false, - "start_time": "2026-10-09T11:50:46.316589+00:00", + "start_time": "2026-10-09T13:41:55.544749+00:00", "status": "completed" }, "tags": [] @@ -220,10 +220,10 @@ "id": "c98978f8", "metadata": { "papermill": { - "duration": 0.004249, - "end_time": "2026-10-09T11:50:46.352230+00:00", + "duration": 0.00285, + "end_time": "2026-10-09T13:41:55.571669+00:00", "exception": false, - "start_time": "2026-10-09T11:50:46.347981+00:00", + "start_time": "2026-10-09T13:41:55.568819+00:00", "status": "completed" }, "tags": [] @@ -258,16 +258,16 @@ "id": "b59f0337", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:50:46.362320Z", - "iopub.status.busy": "2026-10-09T11:50:46.361688Z", - "iopub.status.idle": "2026-10-09T11:50:51.814686Z", - "shell.execute_reply": "2026-10-09T11:50:51.813780Z" + "iopub.execute_input": "2026-10-09T13:41:55.577878Z", + "iopub.status.busy": "2026-10-09T13:41:55.577377Z", + "iopub.status.idle": "2026-10-09T13:42:01.747465Z", + "shell.execute_reply": "2026-10-09T13:42:01.746142Z" }, "papermill": { - "duration": 5.459363, - "end_time": "2026-10-09T11:50:51.815677+00:00", + "duration": 6.17418, + "end_time": "2026-10-09T13:42:01.748825+00:00", "exception": false, - "start_time": "2026-10-09T11:50:46.356314+00:00", + "start_time": "2026-10-09T13:41:55.574645+00:00", "status": "completed" }, "tags": [] @@ -277,7 +277,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Sweep terminé : 580/580 simulations en 5.4 s (0.01 s/sim, ~0.1 min)\n" + "Sweep terminé : 640/640 simulations en 6.2 s (0.01 s/sim, ~0.1 min)\n" ] } ], @@ -311,10 +311,10 @@ "id": "822bf24f", "metadata": { "papermill": { - "duration": 0.002228, - "end_time": "2026-10-09T11:50:51.820267+00:00", + "duration": 0.002876, + "end_time": "2026-10-09T13:42:01.754134+00:00", "exception": false, - "start_time": "2026-10-09T11:50:51.818039+00:00", + "start_time": "2026-10-09T13:42:01.751258+00:00", "status": "completed" }, "tags": [] @@ -334,16 +334,16 @@ "id": "a77664bb", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:50:51.826370Z", - "iopub.status.busy": "2026-10-09T11:50:51.825757Z", - "iopub.status.idle": "2026-10-09T11:50:51.831662Z", - "shell.execute_reply": "2026-10-09T11:50:51.830958Z" + "iopub.execute_input": "2026-10-09T13:42:01.760837Z", + "iopub.status.busy": "2026-10-09T13:42:01.760414Z", + "iopub.status.idle": "2026-10-09T13:42:01.769338Z", + "shell.execute_reply": "2026-10-09T13:42:01.768394Z" }, "papermill": { - "duration": 0.010095, - "end_time": "2026-10-09T11:50:51.832625+00:00", + "duration": 0.013632, + "end_time": "2026-10-09T13:42:01.770580+00:00", "exception": false, - "start_time": "2026-10-09T11:50:51.822530+00:00", + "start_time": "2026-10-09T13:42:01.756948+00:00", "status": "completed" }, "tags": [] @@ -355,26 +355,26 @@ "text": [ " L | p | M/L² (mean±std)\n", "----------------------------------------\n", - " 8 | 0.45 | 0.6417 ± 0.1813\n", - " 8 | 0.48 | 0.7527 ± 0.1542\n", - " 8 | 0.50 | 0.7893 ± 0.1535\n", - " 8 | 0.52 | 0.8475 ± 0.1063\n", - " 8 | 0.55 | 0.9019 ± 0.0701\n", - " 16 | 0.45 | 0.4929 ± 0.1975\n", - " 16 | 0.48 | 0.6614 ± 0.1875\n", - " 16 | 0.50 | 0.7317 ± 0.1640\n", - " 16 | 0.52 | 0.8016 ± 0.1486\n", - " 16 | 0.55 | 0.8719 ± 0.1128\n", - " 32 | 0.45 | 0.2990 ± 0.1305\n", - " 32 | 0.48 | 0.5492 ± 0.1559\n", - " 32 | 0.50 | 0.7100 ± 0.1360\n", - " 32 | 0.52 | 0.8136 ± 0.0688\n", - " 32 | 0.55 | 0.8951 ± 0.0280\n", - " 64 | 0.45 | 0.1183 ± 0.0457\n", - " 64 | 0.48 | 0.3934 ± 0.1366\n", - " 64 | 0.50 | 0.6294 ± 0.1322\n", - " 64 | 0.52 | 0.7929 ± 0.0434\n", - " 64 | 0.55 | 0.8807 ± 0.0255\n" + " 8 | 0.45 | 0.6528 ± 0.1786\n", + " 8 | 0.48 | 0.7544 ± 0.1499\n", + " 8 | 0.50 | 0.7939 ± 0.1531\n", + " 8 | 0.52 | 0.8467 ± 0.1102\n", + " 8 | 0.55 | 0.9043 ± 0.0677\n", + " 16 | 0.45 | 0.4845 ± 0.1980\n", + " 16 | 0.48 | 0.6575 ± 0.1864\n", + " 16 | 0.50 | 0.7347 ± 0.1576\n", + " 16 | 0.52 | 0.8065 ± 0.1424\n", + " 16 | 0.55 | 0.8732 ± 0.1077\n", + " 32 | 0.45 | 0.3016 ± 0.1304\n", + " 32 | 0.48 | 0.5524 ± 0.1578\n", + " 32 | 0.50 | 0.7158 ± 0.1309\n", + " 32 | 0.52 | 0.8151 ± 0.0658\n", + " 32 | 0.55 | 0.8942 ± 0.0274\n", + " 64 | 0.45 | 0.1196 ± 0.0459\n", + " 64 | 0.48 | 0.3984 ± 0.1404\n", + " 64 | 0.50 | 0.6363 ± 0.1320\n", + " 64 | 0.52 | 0.7973 ± 0.0437\n", + " 64 | 0.55 | 0.8821 ± 0.0247\n" ] } ], @@ -406,10 +406,10 @@ "id": "8d3c1820", "metadata": { "papermill": { - "duration": 0.002779, - "end_time": "2026-10-09T11:50:51.837576+00:00", + "duration": 0.002729, + "end_time": "2026-10-09T13:42:01.775129+00:00", "exception": false, - "start_time": "2026-10-09T11:50:51.834797+00:00", + "start_time": "2026-10-09T13:42:01.772400+00:00", "status": "completed" }, "tags": [] @@ -423,10 +423,10 @@ "M(L, 1/2) / L² ~ L^{-β/ν}\n", "```\n", "\n", - "Avec `β/ν = 5/48 ≈ 0.104` (Kesten 1980, exact). Sur un **log-log plot**\n", - "`log(M/L²)` vs `log(L)`, la pente doit valoir `-β/ν ≈ -0.104`.\n", + "Avec `β/ν = 5/48 ≈ 0.1042` (Kesten 1980, exact). Sur un **log-log plot**\n", + "`log(M/L²)` vs `log(L)`, la pente doit valoir `-β/ν ≈ -0.1042`.\n", "\n", - "**Test acceptance** : `β/ν mesuré ∈ [-0.15, -0.13]` (fit log-log,\n", + "**Test acceptance** : `β/ν mesuré ∈ [0.099, 0.109]` (fit log-log,\n", "`R² > 0.95`). Convention honnête : sur `L ∈ {8, 16, 32, 64}`, l'exposant\n", "peut dévier de quelques pourcents à cause des corrections d'échelle finie\n", "et des fluctuations de Monte-Carlo à petit `L`." @@ -438,16 +438,16 @@ "id": "09e60c81", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:50:51.843749Z", - "iopub.status.busy": "2026-10-09T11:50:51.843370Z", - "iopub.status.idle": "2026-10-09T11:50:52.935235Z", - "shell.execute_reply": "2026-10-09T11:50:52.934537Z" + "iopub.execute_input": "2026-10-09T13:42:01.780292Z", + "iopub.status.busy": "2026-10-09T13:42:01.780045Z", + "iopub.status.idle": "2026-10-09T13:42:02.968995Z", + "shell.execute_reply": "2026-10-09T13:42:02.968006Z" }, "papermill": { - "duration": 1.096421, - "end_time": "2026-10-09T11:50:52.936254+00:00", + "duration": 1.19288, + "end_time": "2026-10-09T13:42:02.970073+00:00", "exception": false, - "start_time": "2026-10-09T11:50:51.839833+00:00", + "start_time": "2026-10-09T13:42:01.777193+00:00", "status": "completed" }, "tags": [] @@ -457,15 +457,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fit log-log : slope = -0.1024\n", - "β/ν mesuré = 0.1024 (exact: 5/48 = 0.1042)\n", - "R² = 0.9462\n", - "Acceptance β/ν ∈ [-0.15, -0.13] : FAIL (R² FAIL)\n" + "Fit log-log : slope = -0.0995\n", + "β/ν mesuré = 0.0995 (exact: 5/48 = 0.1042)\n", + "R² = 0.9436\n", + "Acceptance β/ν ∈ [0.099, 0.109] : PASS (R² FAIL)\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -492,8 +492,8 @@ "print(f\"Fit log-log : slope = {slope:.4f}\")\n", "print(f\"β/ν mesuré = {beta_nu_measured:.4f} (exact: 5/48 = {5/48:.4f})\")\n", "print(f\"R² = {r_value**2:.4f}\")\n", - "print(f\"Acceptance β/ν ∈ [-0.15, -0.13] : \"\n", - " f\"{'PASS' if -0.15 <= beta_nu_measured <= -0.13 else 'FAIL'} \"\n", + "print(f\"Acceptance β/ν ∈ [0.099, 0.109] : \"\n", + " f\"{'PASS' if 0.099 <= beta_nu_measured <= 0.109 else 'FAIL'} \"\n", " f\"(R² {'PASS' if r_value**2 > 0.95 else 'FAIL'})\")\n", "\n", "# Plot\n", @@ -515,10 +515,10 @@ "id": "6ea32f1b", "metadata": { "papermill": { - "duration": 0.003225, - "end_time": "2026-10-09T11:50:52.942336+00:00", + "duration": 0.002146, + "end_time": "2026-10-09T13:42:02.974587+00:00", "exception": false, - "start_time": "2026-10-09T11:50:52.939111+00:00", + "start_time": "2026-10-09T13:42:02.972441+00:00", "status": "completed" }, "tags": [] @@ -551,16 +551,16 @@ "id": "d444621d", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:50:52.949717Z", - "iopub.status.busy": "2026-10-09T11:50:52.949309Z", - "iopub.status.idle": "2026-10-09T11:50:53.833597Z", - "shell.execute_reply": "2026-10-09T11:50:53.833163Z" + "iopub.execute_input": "2026-10-09T13:42:02.980289Z", + "iopub.status.busy": "2026-10-09T13:42:02.979789Z", + "iopub.status.idle": "2026-10-09T13:42:03.726980Z", + "shell.execute_reply": "2026-10-09T13:42:03.726388Z" }, "papermill": { - "duration": 0.88893, - "end_time": "2026-10-09T11:50:53.834498+00:00", + "duration": 0.751263, + "end_time": "2026-10-09T13:42:03.728001+00:00", "exception": false, - "start_time": "2026-10-09T11:50:52.945568+00:00", + "start_time": "2026-10-09T13:42:02.976738+00:00", "status": "completed" }, "tags": [] @@ -570,15 +570,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "L=8: tau_prime=2.494, R^2=0.903\n", - "L=16: tau_prime=2.021, R^2=0.996\n", - "L=32: tau_prime=2.080, R^2=0.978\n", - "L=64: tau_prime=2.193, R^2=0.996\n" + "L=8: tau_prime=2.570, R^2=0.915\n", + "L=16: tau_prime=2.092, R^2=0.995\n", + "L=32: tau_prime=2.107, R^2=0.974\n", + "L=64: tau_prime=2.211, R^2=0.996\n" ] }, { "data": { - "image/png": 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"text/plain": [ "
" ] @@ -591,7 +591,7 @@ "output_type": "stream", "text": [ "\n", - "τp mesuré (moyenne sur L) = 2.1969 (exact: 187/91 = 2.0549)\n", + "τp mesuré (moyenne sur L) = 2.2449 (exact: 187/91 = 2.0549)\n", "Acceptance τp ∈ [2.0, 2.1] : FAIL\n" ] } @@ -653,10 +653,10 @@ "id": "40df9dce", "metadata": { "papermill": { - "duration": 0.002601, - "end_time": "2026-10-09T11:50:53.840249+00:00", + "duration": 0.002442, + "end_time": "2026-10-09T13:42:03.733235+00:00", "exception": false, - "start_time": "2026-10-09T11:50:53.837648+00:00", + "start_time": "2026-10-09T13:42:03.730793+00:00", "status": "completed" }, "tags": [] @@ -687,16 +687,16 @@ "id": "d15db6d5", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:50:53.846692Z", - "iopub.status.busy": "2026-10-09T11:50:53.846289Z", - "iopub.status.idle": "2026-10-09T11:50:53.979885Z", - "shell.execute_reply": "2026-10-09T11:50:53.978965Z" + "iopub.execute_input": "2026-10-09T13:42:03.739222Z", + "iopub.status.busy": "2026-10-09T13:42:03.738915Z", + "iopub.status.idle": "2026-10-09T13:42:03.875579Z", + "shell.execute_reply": "2026-10-09T13:42:03.874662Z" }, "papermill": { - "duration": 0.138535, - "end_time": "2026-10-09T11:50:53.981351+00:00", + "duration": 0.141101, + "end_time": "2026-10-09T13:42:03.876794+00:00", "exception": false, - "start_time": "2026-10-09T11:50:53.842816+00:00", + "start_time": "2026-10-09T13:42:03.735693+00:00", "status": "completed" }, "tags": [] @@ -709,14 +709,17 @@ " L | p_c(L)\n", "--------------------\n", " 8 | nan\n", - " 16 | 0.4513\n", - " 32 | 0.4741\n", - " 64 | 0.4890\n" + " 16 | 0.4527\n", + " 32 | 0.4737\n", + " 64 | 0.4885\n", + "\n", + "Fit log-log : 1/ν mesuré = 1.0228 (exact: 3/4 = 0.7500)\n", + "R² = 0.9905\n" ] }, { "data": { - "image/png": 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7d64tKirKlMdq166d7dtvv7XdcMMNZll+er9aOqlKlSpmf2j5roceesh26NChUj3Po0eP2saNG2erV6+e2cdaCkzLSTmXFNMyWs8//7ytbdu2po01atQwbdB9ruXSzuWtt94yfaO37dq1qymDVFBbdu7caevXr5/ZLjIy0vbYY4/Z5s+ff87SS1ra68EHH7R16NDB7JOqVauav/Vx81u7dq3t+uuvt9WqVcs8ju6rm2++2bZgwYI82/3888+mL3SftGrVyjZnzhyXlt8qqLRY/scubvktu+nTp5vtdZ+dOnWqwG2Ks7/sbU5ISMhzW30Nabv1dax9oiXSYmJibJ9++mmx2md/7xV0UVoWTMu7vfDCC2fdVvdLUbcv7j4CKhsv/cd1YTQAFI/mEepheS0eD+BseuRFj4boiK2O+AKegBxZAJWKnviU//C51t3U3FX7tKUACk/NIYiFJ2FEFkClonPO61nhWsZLT07S3FPNT9WcPz2JrCTTjwIA3BsnewGoVLTUk55kpSfW6JngegKKVlrQE8kIYgEAzhiRBQAAgCWRIwsAAABLIpAFAACAJZEjWwCdxu/QoUNmtpWSTkEJAACA0tOsV52YRE/4zT/xTn4EsgXQILZBgwaubgYAAIDH2r9/v5mlsCgEsgXQkVj7DtRpB1H4yLWeVa5F6s/1iwmVH/3pPuhL90J/ug/6sniSk5PNgKI9HisKgWwB7OkEGsQSyBb9hkxPTzf7iDek9dGf7oO+dC/0p/ugL0umOOmd7EUAAABYEoEsAAAALIlAFgAAAJZEIAsAAABLIpAFAACAJRHIAgAAwJIIZAEAAGBJBLIAAACwJAJZAAAAWBKBLAAAACyJQBYAAACWVCkC2TfffFMaN24sgYGBEhMTI7GxsYVu+95775m5d50vejtnNptNxo8fL3Xq1JEqVapIv379ZPv27RXwTAAAAOAxgewnn3wi9913n0yYMEHWrFkjHTp0kP79+0t8fHyht6levbocPnzYcdm7d2+e9S+88IK8/vrrMm3aNFmxYoVUrVrV3Gd6enoFPCMAAAB4RCD7yiuvyNixY2XkyJHSpk0bE3wGBQXJu+++W+htdBS2du3ajktkZGSe0djXXntNnnjiCbn22mvlggsukPfff18OHTokX3/9dQU9KwAAALh1IJuZmSmrV682h/4dDfL2NteXL19e6O1OnjwpjRo1kgYNGphg9a+//nKs2717txw5ciTPfYaEhJiUhaLus7D2aWBsl5OTY5ZlZ2eftV15bJuVlWWW5+bmOpbp37pM11W2bbX9ulyfT2m21X1i3z/ltW1B+70k27qy7935dVIRfV+SbV3Z92X1GVEZXyd8RpTdtnxGuHbb8+lPfb6V4TMiyyJ9fy6+4kKJiYmmsc4jqkqvb9mypcDbtGrVyozW6khrUlKSvPTSS3LhhReaYLZ+/fomiLXfR/77tK/LLyMjw1zskpOTzf8vv/yyPPbYYyY1QS1btkwWL14snTp1kquvvtqxvbZBO+Nf//qXhIaGmmWa5/vzzz9Lu3bt5LrrrnNsO2XKFElLS5N//vOfEhERYZatXbtWvv/+e2nZsqXccssteXKH9TmOHj1a6tata5Zt2LDBjCw3adJEhgwZ4tj2nXfeMftz6NChJt9Y6T787LPPzH7REW+7WbNmmZSMW2+9VVq0aGGW7dq1Sz788EOzn2677TbHtrpMUzduuOEGM2Ku9u/fb3KVa9SoITfddJPjxalpIjt27JBrrrnGpIgo3efTp0+X4OBg+fe//+243y+//FI2b94sV1xxhXTr1s0sO3r0qLz11lsSEBAgDz30kGPb7777TtavXy99+/Y1fW3vI92X+sPn8ccfd2z7008/yapVq+Siiy6SPn36mGWaUvLiiy+av7U/fXx8zN8LFiwwP2569Ojh+OGjr8fJkyebvx988EFH/vWvv/5qLl27dpUrr7zS8XjPP/+8ef733HOPSXlRep963/oa1R9azkcf9HV25513Sq1atcwybeu8efOkdevWcuONNzq2feONNyQlJcUcrdCjDkr3wbfffivNmzeXQYMGObbVoxjHjh2TESNGmB93atOmTfLFF1+YH3zDhg1zbDtz5kyJi4uTwYMHS9OmTc0yzR+fO3euySkfMGCAoz/1SMaBAwdMH0dFRZlle/bskQ8++EDCwsLkjjvucNzvxx9/bH5EDhw4UNq3b2+W6VEQfTz9IXn33Xc7ttXX5LZt2+Sqq66Szp07m2WaSvT222+bozH333+/Y9tvvvlGNm7cKJdffrn5MapOnDhh9o+fn5888sgjjm1/+OEH8166+OKLpXfv3mZZamqq2e/qySefdGw7f/588x7t2bOnXHrppWaZfnhqf6qHH35Y/P39zd+LFi2S3377TaKjo02Kkp39daKpUZXxM6JevXrmNeHKz4iaNWvKXXfd5diWz4jSf0boZ/7//d//ufwzYsyYMY5t+Ywo+WeEbrdkyRLp2LGj+bz19DiiZiGfEfZ9XukD2dLQDxS92OmHlgYB+gJ/+umnS3Wf+mKbOHFigeu0U/WFruz/nzp1Kk8Or/1XkX7I2n/V6QeM/QPSeVt7kKAfKnb2bfW2ztvaf5Hotr6+vnmC7MK21Tewfbm+eJW+OZy3tf9ic95W/7avc97W/nz0vuzLjx8/7nhMvZ0+f/2ysG+rbbRva3+euq3z/dp/OOhzz99evT/nbe25zToSb19u7wvlvK2+ue3r7cudf6ToMvuXlHO/2rd1/hWYkJBgvjCdt9X7Lyh/W/veuZ32dhf0OtF9Yn8ce99rGwvre9239v1q75OC+lP7xd5e+74sbNuC+l5fJ879af+l7Nz39m3z92dJ+t75PZJ/W31/FNT3ztva91n+14m+L/P3p31ZYa8T5/50HhnQvtcvwcK2tcJnhP29bH/9uOIzorBt+Ywo+WeEvY/y92dFfkbk708+I6z9GZFZCeKIwra1P5/i8LI5j01XMG2w/rr6/PPPza80u+HDh5sdor+0ikN/DWoH6S8+/UXQrFkz8+tEf/HY6S9vva6/ZIozIqu/WvVXqf4q1pxceyfrRT807C8I+/NQ+qIuy231haPdo8vsH1T6AtaO19va30Su2laXaz+Fh4ebdbpM1+mXgP2LoLD7LWhbvT/7B4X9l25Zb1vQfi/Jtq7s+/J+neTvz/J6Tbmq78/3dVJRfV8WnxF6H/qFqCNo9uWV4fOEz4jSbauPV5z+tOp3iSd9RujtNbbQkVTnx/PUOMKrkL7XgF9H9TX4tR/JqJSBrNJDATocr4cBlD6Bhg0byrhx4/IcEiiMdlzbtm3lH//4hzk8oE9Hh88feOABx+EHDUz1RaPD2DoMfi66vR7qKM4O9GT2X8a6b+0vTlgX/ek+6Ev3Qn+6D/qyeEoSh7k8tUBzR3QEVvOKNKDVigMaidtzMTR3R3O97LkmkyZNku7du5scIB090rwmzb2w5+1odK95Vs8884zJ29AcEM170eDWedQXAAAA1ubyQFaTkjXXRCcw0KR/Pfyvie32k7X27duX51eL5lVocrtuqycbdenSRX7//XdHArHSkwA0GNZkYw12e/XqZe4z/8QJAAAAsC6XpxZURqQWFA+HSNwL/ek+6Ev3Qn+6D/qy7OMw9iIAAAAsiUAWAAAAlkQgCwAAAEsikAUAAIAlEcgCAADAkghkAQAAYEkEsgAAALAkAlkAAABYEoEsAAAALIlAFgAAAJZEIAsAAABLIpAFAACAJRHIAgAAwJIIZAEAAGBJBLIAAACwJAJZAAAAWBKBLAAAACyJQBYAAACWRCALAAAASyKQBQAAgCURyAIAAMCSCGQBAABgSQSyAAAAsCQCWQAAAFgSgSwAAAAsiUAWAAAAlkQgCwAAAEsikAUAAIAlEcgCAADAkghkAQAAYEkEsgAAALAkAlkAAABYEoEsAAAALIlAFgAAAJZEIAsAAABLIpAFAACAJRHIAgAAwJIIZAEAAGBJBLIAAACwJAJZAAAAWBKBLAAAACyJQBYAAACWRCALAAAASyKQBQAAgCURyAIAAMCSCGQBAABgSQSyAAAAsCQCWQAAAFgSgSwAAAAsiUAWAAAAlkQgCwAAAEsikAUAAIAlEcgCAADAkghkAQAAYEkEsgAAALAkAlkAAABYEoEsAAAALIlAFgAAAJZEIAsAAABLIpAFAACAJRHIAgAAwJIIZAEAAGBJBLIAAACwJAJZAAAAWBKBLAAAACypUgSyb775pjRu3FgCAwMlJiZGYmNji3W7uXPnipeXlwwcODDP8ri4OBkxYoTUrVtXgoKC5IorrpDt27eXU+sBAADgkYHsJ598Ivfdd59MmDBB1qxZIx06dJD+/ftLfHx8kbfbs2ePPPDAA9K7d+88y202mwlsd+3aJd98842sXbtWGjVqJP369ZPU1NRyfjYAAADwmED2lVdekbFjx8rIkSOlTZs2Mm3aNDOK+u677xZ6m5ycHBk8eLBMnDhRmjZtmmedjrz+8ccfMnXqVOnWrZu0atXK/H3q1Cn5+OOPK+AZAQAAoCL4igtlZmbK6tWr5dFHH3Us8/b2NqOny5cvL/R2kyZNkoiICBk9erQsXbo0z7qMjAzzv6YpON9nQECALFu2TMaMGXPW/elt7LdTycnJ5v/c3FxzQcF03+gIOPvIPdCf7oO+dC/0p/ugL4unJPvHpYFsYmKiGV2NjIzMs1yvb9mypcDbaDA6c+ZMWbduXYHro6KipGHDhiY4fvvtt6Vq1ary6quvyoEDB+Tw4cMF3mby5MlmdDe/hIQESU9PL9Vz85QXWlJSknlT6o8FWBv96T7oS/dCf7oP+rJ4UlJSrBHIluaJDR06VKZPny5hYWEFbuPn5ydffvmlGa2tWbOm+Pj4mBHeK6+80rxwCqJBr+bpOo/INmjQQMLDw6V69erl9nzc4Q2pJ9vpfuINaX30p/ugL90L/ek+6MvicT6qXqkDWQ1GNdDUKgPO9Hrt2rXP2n7nzp3mJK8BAwacNfzs6+srW7dulWbNmkmXLl3MiK3+6tH0BX3BaDWErl27FtgOTTvQS376IuOFVjR9Q7Kf3Af96T7oS/dCf7oPq/VlTq5NYncfk/iUdIkIDpToJjXFx9urXB+zJPvGpYGsv7+/CToXLFjgKKGlgaleHzduXIFpAxs2bMiz7IknnjAjtVOmTDGjqM5CQkIcJ4CtWrVKnn766XJ9PgAAAO5i3sbDMvG7TXI46UyaZZ2QQJkwoI1c0a6OVAYuTy3QQ/rDhw83o6XR0dHy2muvmTJZWsVADRs2TOrVq2fyWHWouV27dnluHxoaav53Xv7ZZ5+ZUVjNldXA95577jGB8uWXX17Bzw4AAMCaQewdc9ZI/qTMI0npZvnUIZ0rRTDr8kD2lltuMSdVjR8/Xo4cOSIdO3aUefPmOU4A27dvX4mH3/WkLg2QNUWhTp06Jhh+8skny+kZAAAAuI+cXJsZiS3ozCJdpokFuv6yNrXLPc3gXLxshZ0B5cH0ZC9NS9AcW072KpymgejEFVoKzSq5Pigc/ek+6Ev3Qn+6D6v05fKdR2XQ9D/Oud3HY7tLj2a1XBqHVd69CAAAgApls9lk9d7jxdpWTwATT08tAAAAgOtkZOeYUdhfNsfJL5vi5Uhy8QJUrWLgagSyAAAAHuZYaqYs2hJvgtdftyVIamaOY12gr7fJhc3ILniGLc2KrR1yuhSXqxHIAgAAeIBdCScdo66r9h6TXKezpCKCA6Rfm0i5rHWkyXtdvDXeVCdQzidT2U/t0hJcrj7RSxHIAgAAuGn1gTX7jssvm+Jk/uY42ZWQmmd96zrV5bLWESaAbVc3RLydAlMtraUltvLXkdWRWOrIAgAAoMylZmTL0u0JMn9TvCzcEifH07Ic6/x8vKR701rSr3Wk9G0dIfVrBBV5Xxqsaomtip7ZqyQIZAEAACzsSFL66ZSBzXHy+46jkplzJre1eqCvXBp1etT1opbhUj3Qr0T3rUFreZTYKisEsgAAABYrkbXpcLLJddXgdcPBpDzrG9YMksvaRJqR166Na4ifj/tWWyWQBQAAsECJrBW7jv19slacHHLKW/XyEunUINRxslbziGripQs9AIEsAABAJXQiLVMWbY03I69LtiXIyYxsx7pAP2/p3SLcBK6XREVIeHCAeCICWQAAgEpiT2KqGXWdvylOVu09bioP2IVVC5B+rSNM2kDP5mES6Ocjno5AFgAAwEU0UF23/7ipMqAB7I74k3nWt4oMln5tIky+a4f6oXlKZIFAFgAAoEKlZWbLbzuPmVzXhVvi5WhqZp4qATFNaprAVS8NaxVdIsvTEcgCAACUs/jk0yWyvl+3X1btT8kz/WtwgK9crCWyWkfIxS0jJCSoZCWyPBmBLAAAQDmUyNoal/L3rFrx8uf+E3nW169RxYy4ar5rt8Y1xd/XfUtklScCWQAAgDKQlZNrZsHSE7V09PXA8VN51neoHyLdG1aVa7s2NdPDekqJrPJEIAsAAFBKSaeyZLGWyNocb/5PST9TIivA11t6NQ8z9V37RkVIWDV/iY+Pl4iIYILYMkIgCwAAUAL7jqY5poTVEdhspxJZtar6S9/Wp6sM9GoRJkH+Z0Kt3NwzebEoGwSyAAAARcjNtcmfB078PatWvMl9ddYiopoZddXgtWODUFN5ABWDQBYAACCfU5k58tuOxL9HXuMl8WSGY50Gqt0a13CUyGocVtWlbfVkBLIAAAAikpCSIQu36Kxa8bJsR4KkZ51JBagW4Ct9Wp2eEvbiVuESGuTv0rbiNAJZAADgsSWytsefdFQZWLf/hNjOpLtKvVAtkRVh0gZimtSiRFYlRCALAAA8qkTWyj06q9bpKWH3HUvLs/6C+iGOlIHWdaguUNkRyAIAALeWnJ4lS7YmmMB10ZZ4SXYqkaWjrD2b1fq7RFak1A4JdGlbUTIEsgAAwO0cOJ5mZtXSE7X+2HU0T4msGkF+cmnU6Vm1ercIk6oBhENWRc8BAAC3KJG18VCSY0rYzYeT86xvGl7VnKilI6+dG9agRJabIJAFAACWlJ6VI8t3HpX5m+NkweY4iUs+UyJL49SujWpKvzYR0rd1pDQLr+bStqJ8EMgCAADLOHpSS2SdPlHr122Jciorx7EuyN9H+rQMNydqXRIVITWrUiLL3RHIAgCASl0ia2dC6t+zasXJ6n3H85TIql090Iy6avDavWktCfTzcWVzUcEIZAEAQKWSnZMrq/ced8yqtTsxNc/6tnWrm8BVT9bSvymR5bkIZAEAgMudzMiWX7clmFHXhVvj5URalmOdn4+X9GgWJpe1Pp3vWje0ikvbisqDQBYAALjEoROnzElaWmXgj51HJTPnzJSwoVoiq9XpWbW0RFZwoJ9L24rKiUAWAABUWL7rX4eSHVPC6t/OGtcKMukCmjbQpVEN8fVhSlgUjUAWAACUm4zs0yWyNHBdsDleDielO9ZpamuXhjXMqKsGr83Cq5LvihIhkAUAAGXqWGqmmQr2dImsBEnNPFMiq4qfj1zUMsxRIiusWoBL2wprI5AFAADnbVfCyb9LZMXLqr3HxGlGWIkIDjAnaV3eJlJ6NKNEFsoOgSwAACixnFybrN133OS76sxauxLylsiKqh3syHdtXy9EvJkSFuWAQBYAABRLaka2LN2eaEZedXYtTSGw8/X2MhMS9Pu7RFaDmkEubSs8A4EsAAAo1JGkdFmw5fSsWr9piazsMyWyqgf6mjxXHXXt0ypcqlMiCxWMQBYAAOQpkbX5cMrfs2rFyfoDSXnWN6hZRS5rXdtMC9utcU3xo0QWXIhAFgAAD6ejrCt2HzWjrjol7METpxzrtBpWxwahjilhW0RUo0QWKg0CWQAAPNCJtExZvDXBnKi1ZGuCmSLWLtDPW3o1D5fL2kSY1IGI4ECXthUoDIEsAAAeYu/RVMesWiv3HDeVB+y0nqueqKUjrz2bh0kVf0pkofIjkAUAwE1poLpu/4m/67vGyfb4k3nWt4oMNrmuGrx2qB9KiSxYDoEsAABuJC0zW5Y5lchKPHmmRJaPt5fENKlpAle9NKxFiSxYG4EsAAAWF5+sJbLizajrsh2JkuFUIis4wFcuNiWyIuTilhESEkSJLLgPAlkAACxYImtrXIoJXOdvjpc/95/Is75eaBVTYUAvWiLL35cSWXBPBLIAAFhAVk6urN51TH7++2StA8fPlMhSHRqEymV6slabSJP7SokseAICWQAAKqmkU1myeEucfL9unyzf+6ekpJ8pkRXgqyWywkzg2ldLZFWnRBY8D4EsAACVyP5jaY5ZtVbsOibZTiWyalX1l75/l8jq1SJMgvz5Godn4x0AAIAL5ebaZP3BpL9n1YqTLUdS8qzXmbR6NKwm13RtLJ0a1jSVBwCcRiALAEAFS8/Kkd92nC6RpVPCJqRkONZpoNq1UQ1zopYpkVWzisTHx0tERA3qvAL5EMgCAFABNFhdtCXeTAm7dHuCpGedKZFVLcBX+rQMN5MTaImsGlX9Hetyc89sByAvAlkAAMqpRNaO+JMmcNW0gbX7T4jtTLqr1A0JNCdq6ahrTNOaEuDLlLBASRHIAgBQRrJzcmXlnuOOk7X2Hk3Ls759vZDTs2q1iZA2dapTIgs4TwSyAACch5T0LFmyLcGMui7ammBKZtn5+3jLhc1rmeBVqw3UCani0rYC7oZAFgCAEjpwPE0WbI43o65/7DoqWTlncgZqBPnJpVE6q1aE9GoRbvJfAZQP3l0AABSjRNbGQ0mOKWE3H07Os75peFW5zKQMRErnhjUokQVUEAJZAAAKKZG1fOdRc7LWgs1xEpd8pkSWxqldG9U0ua59W0dKs/BqLm0r4KkIZAEA+NvRkxkmz3X+piOydHuipGXmONYF+fucLpHVOlIuiYqQmk4lsgC4BoEsAMCj7Uw46ZhVa/Xe4+I0I6zUrq4lsk5PCdu9aS0J9KNEFlCZEMgCADyuRNaafSdOl8jaFCe7ElPzrG9bt7oJXHVmLf2bEllA5UUgCwBweyczsmXptgST76qzax1PO1Miy8/Hy4y2Xt4mUi5tHSn1QimRBVgFgSwAwC0dTjolv2iJrE1x5qStzJwzU72GVNESWadTBi5qGSbBgX4ubSuA0vGWSuDNN9+Uxo0bS2BgoMTExEhsbGyxbjd37lxzyGfgwIF5lp88eVLGjRsn9evXlypVqkibNm1k2rRp5dR6AEBlmRJ248Ekee2XbXL1G0ulx+SF8uTXG81kBRrENqoVJGN6NZG5t3WX1U/0k1dv6ShXXVCHIBawMJePyH7yySdy3333mUBTg9jXXntN+vfvL1u3bpWIiIhCb7dnzx554IEHpHfv3met0/tbuHChzJkzxwTIP//8s9x5551St25dueaaa8r5GQEAKkpGdo78seuY42Stw0npjnWa2qo1XU/nu0aYElnkuwLuxeWB7CuvvCJjx46VkSNHmusa0H7//ffy7rvvyiOPPFLgbXJycmTw4MEyceJEWbp0qZw4cSLP+t9//12GDx8uF198sbl+2223ydtvv21GeglkAcDajqdmyqKtp2fVWrI1QVKdSmRV8fOR3i3CzMQEmjoQVi3ApW0F4MaBbGZmpqxevVoeffRRxzJvb2/p16+fLF++vNDbTZo0yYzWjh492gSy+V144YXy7bffyqhRo8wo7OLFi2Xbtm3y6quvlttzAQCUn92JqX/PqhUnq/Ycy1MiKyI4wExKoKOuFzYLo0QW4EFcGsgmJiaa0dXIyMg8y/X6li1bCrzNsmXLZObMmbJu3bpC7/eNN94wo7CaI+vr62uC4+nTp8tFF11U4PYZGRnmYpecfHrqwdzcXHNBwXTfaE4a+8g90J/uwx36MifXJmv3ny6RtWBzvOxMyFsiK6p2sPRrrbNqRUj7uiHi7TQlrJWft7v2J06jL4unJPvH5akFJZGSkiJDhw41QWlYWFiRgewff/xhRmUbNWokv/76q9x1111mdFZHe/ObPHmySVPILyEhQdLTz+Rb4ewXWlJSknlT6o8FWBv96T6s2pc6i1bsvmRZuitJftudJCdOZTvW+XiLdK4fLL2bhkqvJiFSN8SeMpApiYkJ4s6s2p84G31Z/HivuLxsujddmFoQFBQkn3/+eZ7KA5rfqnmv33zzTZ7tdRS2U6dO4uPjc1bUri8IPUFMg9WQkBD56quv5KqrrnJsN2bMGDlw4IDMmzevWCOyDRo0kOPHj0v16tXL/Hm7C933GuyHh4fzhnQD9Kf7sFJfxiWnmxHXX7bEy+9aIiv7zEhM9UBfubhVuKNEVnUPrS5gpf5E0ejL4tE4rEaNGiboP1cc5tIRWX9/f+nSpYssWLDAEchqJ+t1LZ+VX1RUlGzYsCHPsieeeMJE7lOmTDHBp46gZmVlnfUC0eC3sKHqgIAAc8lP74MXWtH0DGD2k/ugP91HZe1LHTvZciTFke+6/kBSnvUNalaRy1rXNtPCdmtcU/x0KBaVtj9RcvTluZVk37g8tUBLZekIbNeuXSU6OtqU30pNTXVUMRg2bJjUq1fPHP7XOrPt2rXLc/vQ0FDzv325Bsd9+vSRBx980NSQ1dSCJUuWyPvvv28qJAAAKpaOssbuPmbyXedvipODJ0451mk1rI4NQh1TwraIoEQWALFOIHvLLbeYYfbx48fLkSNHpGPHjubwv/0EsH379pX4V4tOlKCVELRE17Fjx0ww++yzz8rtt99eTs8CAOAsKS1LFm+LN4GrlshKyTiT7xro5y29moebKgOXREVIRHCgS9sKwLpcmiNbmXMzNM+2OLkZnkxTNeLj400pNA6RWB/96T5c1Zf7jqaZdAFNG4jdc8xUHrDTeq5aZUBHXns2D5Mq/pTIKi7em+6Dviz7OMzlI7IAAGvKzbXJugMnHLNqbYs7mWd9y8hqJnDVyQk61g/NUyILAMoCgSwAoNhOZebIsh2JJnhdsCVeEk+eqfji4+0l0Y1rmsBVR18b1arq0rYCcH8EsgCAIsWnpMtCLZG1OU6Wbk+UDKcSWcEBvtKnlea7RsrFLSMkJMgzS2QBcA0CWQBAHnrqhKYJ2KsMrNt/Is/6eqFVTOCqaQPRTWqKvy+5fgBcg0AWACBZObmycvex0ydrbY6T/cfOlMhSHeqHOPJddXpYSmQBqAwIZAHAQyWdypIl2xJMvuuirfGSkn6mRJaOsvZqHmaC176tIySyOiWyAFQ+BLIA4EH2H0szI656WbHrmGQ7lciqVdVfLo2KMKOuvVuESZA/XxEAKjc+pQDAzUtkrT+Y5CiRpdPDOmsecbpElk5O0LFBDVN5AACsgkAWANxMelaO/LY7SVb9Fm9KZMWnnCmRpXFqt8Y1zclafVtHSpMwSmQBsC4CWQBwA1rPdeGWeDPyqiWyTmXlONZV9feRi1tpykCEKZFVo6q/S9sKAC4LZDdv3ixz586VpUuXyt69eyUtLU3Cw8OlU6dO0r9/f7nhhhskICCgzBoIACi4RNbOhJMyf9Pp+q5r9h0X5wnHI4P95PK2deSyNrUlpmlNCfBlSlgAHhzIrlmzRh566CFZtmyZ9OzZU2JiYuS6666TKlWqyLFjx2Tjxo3y+OOPy7/+9S+z3b///W8CWgAoQ9k5ubJq73FHvuueo2l51revd7pEVt+ocKnlc0oiIyOZzx2AWyt2IKsjrQ8++KB8/vnnEhoaWuh2y5cvlylTpsjLL78sjz32WFm1EwA8Ukp6lvy6LdEErpo6oCWz7Px9vOXC5rUcJbLqhFQxy3NzcyU+Pt2FrQaAShbIbtu2Tfz8zj31YI8ePcwlK+vMhy0AoPgOnjglC/6eVeuPXUclK+dMzkCNID+5NOp0lYFeLcKlWgCnOgDwXMX+BCxOEHvgwAGZNGmSvPPOO8XaHgBwOt9148Hk07NqbYqTTYeT86xvGlb19JSwbSKlc0NKZAGAXZn+lD969KjMnDnTBLIAgKJLZC3fddQErgs2x8uR5DOpABqndmlUwzElbLPwai5tKwBUVhyTAoAKciw101Ei69ftCZKWeaZEVpC/j1zUItwErpe0Cpda1ThZFgDOhUAWAMqRlsiyVxlYvfe4OM0IK5HVAxyjrj2a1pJAP0pkAUBJEMgCQBnKybWZgFUDVw1gdyWm5lnfpk51E7he1jpS2tWrLl5e5LsCQIUEstdff32R60+cOFHqhgCAVaVmZMvS7QlmcoKFW+LkeNqZqi1+Pl7SvWktx5Sw9UJPl8gCAFRwIBsSEnLO9cOGDTvfNgFApXckKf30qOvmOPl9x1HJzMl1rAupoiWyIkzawEUtwyQ4kCouAODyQHbWrFnl0ggAsEKJLC2L9cvfU8JuOJiUZ32jWkEmXUDTBro2qiG+PsyoBQDljRxZAChERnaOrNh1zJHveijpTIksTW3Vmq466qqTE2iJLPJdAaCSBrK33367PPHEE1K/fv1zbvvJJ59Idna2DB48+HzbBwAV6kRapizaqiWy4mXJtgQ5mZHtWFfFz0d6twgzo66aOhBGiSwAsEYgGx4eLm3btpWePXvKgAEDpGvXrlK3bl0JDAyU48ePy6ZNm2TZsmUyd+5cs5xJEQBYxZ7EVDPqqlPCrtp73FQesAsPDnCMul7YLIwSWQBgxUD26aeflnHjxsmMGTPkrbfeMoGrs+DgYOnXr58JYK+44oryaCsAlAkNVNftP26qDGgAuyP+ZJ71UbWDT08J2zpS2tcLEW+mhAUA6+fIRkZGyuOPP24uOgq7b98+OXXqlISFhUmzZs3IDwNQaaVlaomsRJPrqrNrHU3NdKzz9faSmKY1T09O0DpSGtQMcmlbAQDlfLJXjRo1zAUAKqu45HRZsPn0qOuyHYmSmX2mRFZwoK9c0irC5Lv2aRluSmYBADwgkNUyXNWqVZObbropz/LPPvtM0tLSZPjw4WXVPgAoUYmsLUdSHFPC/nkgb4msBjWrnM53bR0p3ZrUFD9KZAGA5wWykydPlrfffvus5REREXLbbbcRyAKoMDrKGrv7mONkrYMnTuVZ37FBqCPftWUkJbIAQDw9kNXc2CZNmpy1vFGjRmYdAJSnpLQsWbwt3gSuS7YmSIpTiawAX+/TJbJaR8qlrSMkIjjQpW0FAFSyQFZHXtevXy+NGzfOs/zPP/+UWrVqlVXbAMBh39E0x5SwOgKb7VQiK6yav/SNOj2rVq/mYVLFnxJZAOAJShXIDho0SO6++25Tcuuiiy4yy5YsWSL33HOP3HrrrWXdRgAeKDfXJn8eOPH3rFrxsjUuJc96TRMwVQbaRErH+qGUyAIAD1SqQFZryu7Zs0f69u0rvr6n7yI3N1eGDRsm//nPf8q6jQAsXrNVR1DjU9LNYf7oJjXFp5Cg81Rmjvy2I/Hvkdd4STyZ4Vint4luXNMErv1aR0ijWlUr8FkAANwmkPX39zfT0D7zzDOybt06qVKlirRv397kyAKA3byNh2Xid5vkcFK6Y1mdkECZMKCNXNGujrmekJIhC7foiVrxsmxHgqRnOZXICvCVPq3CzclaF7eMkJAgSmQBAMqgjqxq0aKFuRSmevXqJtBt2rTp+TwMAIsGsXfMWSNnMllPO5KULrfPWSPXdqwr+46lybr9J8TmtFG90CqOKgM6euvvS4ksAEA5BLLFqekIwDPTCXQktqBPAPuyb9YdcizrUD/Eke+q08NSIgsA4PJAFoBn0pxY53SCwozp1UTGXtRUIqtTIgsAUHIcswNQ5vTEruJoXz+EIBYAUGoEsgDKXHEnIWCyAgBApU0tIM8N8EwbDyUVuV4/GWqHnC7FBQCAywJZ+wldBQWtnOwFeBZ9z786f5u8vnCHY5l+Mjh/Etg/KbQEV2H1ZAEAKNfUgpkzZ0q7du0kMDDQXPTvGTNm5Nnmxx9/lHr16pX2IQBYbCaup779yxHEPti/lUwd3NmMvDrT61OHdHbUkQUAoEJHZMePHy+vvPKK/Otf/5IePXqYZcuXL5d7771X9u3bJ5MmTTLLevXqVeqGAbCOrJxceejz9fLV2oOiB2cmXdtOhnY/PUHK5W1rF3tmLwAAyj2QnTp1qkyfPl0GDRrkWHbNNdfIBRdcYIJbeyALwP2lZ+XIuI/WmCllfb295OWbO8i1Hc8cidGgtUezWi5tIwDAPZUqkM3KypKuXbuetbxLly6SnZ1dFu0CYAEp6VkyZvYqWbH7mAT4epuUgUujIl3dLACAhyhVjuzQoUPNqGx+77zzjgwePLgs2gWgkjuWmimDZ6wwQWy1AF95f1Q0QSwAwBpVC/Rkr59//lm6d+9urq9YscLkxw4bNkzuu+8+x3aaSwvAvRxOOiVDZqyQnQmpUrOqvwli29ULcXWzAAAeplSB7MaNG6Vz587m7507d5r/w8LCzEXX2VFHFnA/uxNTTRB78MQpqRsSKO+PjpHmEdVc3SwAgAcqVSC7aNGism8JgEpv06FkGfZurCSezJCmYVXlgzExUi+0iqubBQDwUOU6sxcA97FqzzEZ+d5KSUnPljZ1qsv7o6MlrFqAq5sFAPBgBLIAzmnJtgT55werJD0rV7o1riEzR3ST6oF+rm4WAMDDEcgCKNL/1h+Sez9ZJ1k5Nrm4VbhMHdxFqvj7uLpZAAAQyAIo3Mex++SxrzaIzSZy9QV15JWbO4q/b6lntgYAoEwRyAIo0NtLdsrkH7eYvwfHNDTTzjK1LACgMiGQBZCHzWaT5+dtkamLT5fWu/PiZvJg/1aU0wMAVDoEsgAccnJt8uQ3f8lHsfvN9UeujJLb+zRzdbMAACgQgSwAIzM7V56at1vmbzsuOvj6n+vay6Dohq5uFgAAhSKQBSCnMnPk9jlrZMm24+Ln4yWv3tJRrr6grqubBQBAkQhkAQ+XnJ4lo99bKSv3HJcAXy+ZNqSLXBIV6epmAQBwTgSygAfTqWaHzYyVTYeTJTjQV166ppn0aRnu6mYBAFAsBLKAhzp44pQMnbFCdiWmSlg1f5k9spvU8kl3dbMAACg2KpsDHmhH/Em5cervJoitF1pFPrv9Qmldp7qrmwUAQIkwIgt4mI0Hk2TYu7FyLDVTmoVXlTljYqROSBXJzc11ddMAACgRAlnAg6zYdVRGz14lJzOypX29EJk9KlpqVvV3dbMAALBuasGbb74pjRs3lsDAQImJiZHY2Nhi3W7u3LlmtqGBAwfmWa7LCrq8+OKL5fQMgMpv4ZY4MxKrQWxMk5ry0dgYglgAgKW5PJD95JNP5L777pMJEybImjVrpEOHDtK/f3+Jj48v8nZ79uyRBx54QHr37n3WusOHD+e5vPvuuyaQveGGG8rxmQCV1zfrDspt76+WjOxc6dc6wozEBgf6ubpZAABYO5B95ZVXZOzYsTJy5Ehp06aNTJs2TYKCgkzwWZicnBwZPHiwTJw4UZo2bXrW+tq1a+e5fPPNN3LJJZcUuC3g7j74Y6/8+5N1kp1rk+s61ZOpQ7pIoJ+Pq5sFAIC1c2QzMzNl9erV8uijjzqWeXt7S79+/WT58uWF3m7SpEkSEREho0ePlqVLlxb5GHFxcfL999/L7NmzC90mIyPDXOySk5PN/3ryCyfAFE73jc1mYx9VUto3by3ZJS//vM1cH9q9oUy4uo14e53uu/zoT/dBX7oX+tN90JfFU5L949JANjEx0YyuRkbmnUVIr2/ZsqXA2yxbtkxmzpwp69atK9ZjaAAbHBws119/faHbTJ482Yzu5peQkCDp6dTVLOqFlpSUZN6U+gMElYf2yX+XHZQPV8eZ66Ni6sjYmDBJTEwo9Db0p/ugL90L/ek+6MviSUlJcc+qBfrEhg4dKtOnT5ewsLBi3UZTFDQNQU8kK4yOCGuervOIbIMGDSQ8PFyqV6e2ZlFvSM091v3EG7LyyMm1yeNfb5RP/w5iH/9HlIzu1eSct6M/3Qd96V7oT/dBXxZPUTFbpQpkNRj18fExh/+d6XXNbc1v586d5iSvAQMGnDX87OvrK1u3bpVmzZo51mnagS7TE8qKEhAQYC756YuMF1rR9A3Jfqo8MrJz5N5P1skPG46YFILnbrhAbu7aoNi3pz/dB33pXuhP90FfnltJ9o1L96K/v7906dJFFixYkCcw1es9evQ4a/uoqCjZsGGDSSuwX6655hpzIpf+raOozjQFQe9fKyEA7i4tM1vGzF5lglh/H295a3DnEgWxAABYjctTC/SQ/vDhw6Vr164SHR0tr732mqSmppoqBmrYsGFSr149k8eqQ83t2rXLc/vQ0FDzf/7lmh7w2Wefycsvv1yBzwZwjaS0LBn5Xqys2XdCgvx95J2hXaVXi+Kl3wAAYFUuD2RvueUWc1LV+PHj5ciRI9KxY0eZN2+e4wSwffv2lWr4XSdL0GTqQYMGlUOrgcojPiVdhs2MlS1HUiSkip/MGtlNOjes4epmAQBQ7rxsGu3hrNHckJAQc2YhJ3sVTtNAdOIKLYVGro9r7D+WJkNmrpC9R9MkPDhAPhgdLVG1S/eapT/dB33pXuhP90Ffln0c5vIRWQClsz0uxQSxcckZ0qBmFflwdHdpWCvI1c0CAKDCEMgCFvTn/hMyfFasnEjLkpaR1eSD0TESWb345UoAAHAHBLKAxfy+M1HGzl4lqZk50qFBqLw3opvUqOrv6mYBAFDhCGQBC/n5ryMy7uO1kpmdKz2b1zLVCaoG8DYGAHgmvgEBi/hi9QF56Iv1Zuau/m0j5fVBnSTA18fVzQIAwGUIZAELeO+33fLUd5vM3zd2qS/PXd9efH044xUA4NkIZIFKTKvjvb5gh7z6yzZzfVTPJvLEVa3FW+efBQDAwxHIApVUbq5Nnv5+k8z6bY+5ft9lLeVflzY383QDAAACWaBSys7JlYe/2CBfrDlgrj81oI2M6NnE1c0CAKBSIZAFKpn0rBy5++O18vOmOPHx9pIXb7xAru9c39XNAgCg0iGQBSqRkxnZctv7q+T3nUfF39db3vy/znJZm0hXNwsAgEqJQBaoJI6nZsqI91aaWbuq+vvI9OFd5cJmYa5uFgAAlRaBLFAJxCWny9CZK2Rb3EmpEeQns0dFywX1Q13dLAAAKjUCWcDF9h5NlcEzVsiB46ekdvVA+WB0tLSIDHZ1swAAqPQIZAEX2nIkWYbOjJWElAxpXCtIPhgdIw1qBrm6WQAAWAKBLOAia/Ydl5GzVkrSqSyJqh0s74+OlojgQFc3CwAAyyCQBVxg6fYEue391XIqK0e6NKoh7w7vJiFBfq5uFgAAlkIgC1SwHzcclrvnrpWsHJv0bhEmbw/tIkH+vBUBACgpvj2BCvTpyv3yyJfrJdcmclX7OvLKLR0kwNfH1c0CAMCSCGSBCjJj6S555vvN5u9buzWQZ69rb2buAgAApUMgC5Qzm80mL/+8Tf67aIe5/s+LmsojV0aJlxdBLAAA54NAFihHubk2eeq7v+T95XvN9Qf7t5I7L25GEAsAQBkgkAXKSVZOrjz42Z/y9bpDonHr09e2kyHdG7m6WQAAuA0CWaAcpGflyF0frpEFW+LF19tLXr65g1zbsZ6rmwUAgFshkAXKWEp6loyZvUpW7D4mAb7eMnVIZ7k0KtLVzQIAwO0QyAJl6OjJDBk+K1Y2HkyW4ABfmTmim0Q3qenqZgEA4JYIZIEycujEKRk6c4XsTEiVWlX9ZfaoaGlXL8TVzQIAwG0RyAJlYFfCSRk6M1YOnjgldUMC5YMxMdIsvJqrmwUAgFsjkAXO01+HkmT4u7GSeDJTmoZVNUFsvdAqrm4WAABuj0AWOA8r9xyTUe+tlJT0bGlbt7pJJwirFuDqZgEA4BEIZIFSWrQ1Xu6Ys1rSs3IlunFNmTGiq1QP9HN1swAA8BgEskApfPfnIbn3k3WSnWuTS1qFy1uDu0gVfx9XNwsAAI9CIAuU0Ecr9snjX28Qm01kQIe68vJNHcTf19vVzQIAwOMQyAIlMHXxTnl+3hbz9+CYhjLp2nbi4+3l6mYBAOCRCGSBYrDZbPL8vK0ybclOc/3Oi5vJg/1biZcXQSwAAK5CIAucQ06uTZ74eqN8HLvPXH/0yij5Z59mrm4WAAAej0AWKEJmdq7c++k6+X79YdEMgv9c115ujW7o6mYBAAACWaBwpzJz5PY5q2XJtgTx8/GSKbd2kn+0r+PqZgEAgL8RyAIFSDqVJaPfWymr9h6XKn4+Mm1oF+nTMtzVzQIAAE4IZIF8ElIyzJSzmw4nS/VAX5k1spt0aVTT1c0CAAD5EMgCTg4cT5OhM2Nld2KqmWr2g9HR0rpOdVc3CwAAFIBAFvjbjviTMnTmCjmclC71QqvInDEx0iSsqqubBQAACkEgC4jIhgNJMnxWrBxLzZTmEdVkzugYqR0S6OpmAQCAIhDIwuP9seuojJm9Sk5mZMsF9UPkvZHRUrOqv6ubBQAAzoFAFh5tweY4ufPDNZKRnSvdm9aU6cO6SnCgn6ubBQAAioFAFh7r67UH5f7P/jQzd/VrHSn//b9OEujn4+pmAQCAYiKQhUf6YPkeGf/tX2KziVzXqZ68cOMF4ufj7epmAQCAEiCQhUex2Wzy34U75OX528z1ERc2lvFXtxFvnX8WAABYCoEsPIYGsc9+v1lmLNttrt/dt4Xc26+FeHkRxAIAYEUEsvAI2Tm58thXG+TTVQfM9SevbiOjezVxdbMAAMB5IJCF28vIzpF7Pl4n8/46IppB8PwNF8hNXRu4ulkAAOA8EcjCraVmZMvtc1bL0u2J4u/jLa8P6iRXtKvt6mYBAIAyQCALt3UiLVNGvrdS1u47IUH+PqZGbM/mYa5uFgAAKCMEsnBL8cnpMnRmrGyNS5GQKn7y3shu0qlhDVc3CwAAlCECWbid/cfSZMjMFbL3aJpEBAfIB6NjpFXtYFc3CwAAlDECWbiVbXEpMmTGColPyZCGNYNkzugYaVgryNXNAgAA5YBAFm5j3f4TMmJWrJxIy5JWkcHywehoiage6OpmAQCAckIgC7fw+45EGfv+KknNzJGODUJNTmxokL+rmwUAAMoRgSws76e/jsi/PlormTm50qt5mLw9tItUDeClDQCAu+PbHpb2+eoD8tDnf0quTeSKtrVlyqCOEuDr4+pmAQCACkAgC8t6d9lumfS/TebvG7vUl+euby++Pt6ubhYAAKggBLKwHJvNJq/9sl2mLNhuro/u1UQe/0dr8db5ZwEAgMcgkIWl5ObazCjse7/vMdfvv6yljLu0uXh5EcQCAOBpCGRhGdk5ufLQF+vlyzUHzfWJ17SV4Rc2dnWzAACAi1SKhMI333xTGjduLIGBgRITEyOxsbHFut3cuXPNSNzAgQPPWrd582a55pprJCQkRKpWrSrdunWTffv2lUPrURHSs3Lk9jlrTBDr4+0lr93SkSAWAAAP5/JA9pNPPpH77rtPJkyYIGvWrJEOHTpI//79JT4+vsjb7dmzRx544AHp3bv3Wet27twpvXr1kqioKFm8eLGsX79ennzySRMow3pOZmTLyFkr5ZfNceLv6y1vD+kiAzvVc3WzAACApweyr7zyiowdO1ZGjhwpbdq0kWnTpklQUJC8++67hd4mJydHBg8eLBMnTpSmTZuetf7xxx+Xf/zjH/LCCy9Ip06dpFmzZmZ0NiIiopyfDcra8dRMGTz9D1m+66hUC/CV2SOjpV+bSFc3CwAAeHqObGZmpqxevVoeffRRxzJvb2/p16+fLF++vNDbTZo0yQSlo0ePlqVLl+ZZl5ubK99//7089NBDZmR37dq10qRJE/MYBaUgqIyMDHOxS05OdtyXXlAw3TdaQaC89tGRpHQZPmulbI8/KTWC/GTWiG5yQf0Q+sSi/YmKQ1+6F/rTfdCXxVOS/ePSQDYxMdGMrkZG5h1h0+tbtmwp8DbLli2TmTNnyrp16wpcrykJJ0+elOeee06eeeYZef7552XevHly/fXXy6JFi6RPnz5n3Wby5MlmdDe/hIQESU9PL/Xz84QXWlJSknlT6g+QsrT/RLrc/eV2OZycKeHV/OT161tIbf+Mc6acoHL2JyoWfele6E/3QV8WT0pKintWLdAnNnToUJk+fbqEhYUVGcVfe+21cu+995q/O3bsKL///rtJWygokNXRWs3TdR6RbdCggYSHh0v16tXL7flYne5rPdlO91NZviE3H06WOz7fIIknM6VRrSCZMypa6tWoUmb3j4rtT1Q8+tK90J/ug74snpKc0+TSQFaDUR8fH4mLi8uzXK/Xrl27wJO49CSvAQMGnBW4+vr6ytatW00Aqn9rvq2z1q1bm9HcggQEBJhLfvoi44VWNH1DluV+Wr33uIycFSvJ6dnSuk51eX9UtIQHn903sEZ/wnXoS/dCf7oP+vLcSrJvXLoX/f39pUuXLrJgwYI8gale79Gjx1nbaxWCDRs2mLQC+0VP4rrkkkvM3xrE6n1qqS0Nap1t27ZNGjVqVCHPC6Xz67YEGTJjhQliuzSqIXNv604QCwAAKm9qgR7SHz58uHTt2lWio6Pltddek9TUVFPFQA0bNkzq1atn8lh1qLldu3Z5bh8aGmr+d17+4IMPyi233CIXXXSRCXI1R/a7774zpbhQOf2w4bDcM3etZOXYpE/LcJk6pLME+bv85QkAACoxl0cKGnDqSVXjx4+XI0eOmHxWDTztJ4DpJAYlHX6/7rrrTD6sBr933323tGrVSr744gtTWxaVzycr98mjX26QXJvIVe3ryKu3dDT1YgEAAIriZdNT55CHnuylM4LpmYWc7FU4TQPRKgJaCq20uT7Tf90lz/6w2fw9KLqBPDOwvZm5C9bsT1QO9KV7oT/dB31Z9nGYy0dk4Zn099NLP2+VNxftNNf/2aepPHJFlEmCBwAAKA4CWVS43FybjP92o8z5Y5+5/tAVreTOi5u7ulkAAMBiCGRRobJycuWBz/6Ub9YdEh18fWZgOxkcQzUJAABQcgSyqDCnMnPkro/WyMIt8eLr7WVO6hrQoa6rmwUAACyKQBYVIjk9S8a8t0pi9xyTQD9vmTqki1zSKsLVzQIAABZGIItyd/RkhgyfFSsbDyZLcICvzBzRTaKb1HR1swAAgMURyKJcHTxxSobOXCG7ElKlVlV/mT0qWtrVC3F1swAAgBsgkEW52ZVw0kw5eygpXeqGBMqcMTHSNLyaq5sFAADcBIEsysXGg0ky/N1YOZqaKU3Dq8qc0TFSN7SKq5sFAADcCIEsylzs7mMy+r2VkpKRLe3qVZfZI6OlVrUAVzcLAAC4GQJZlKlFW+Lljg9XS3pWrjmha8bwrlI90M/VzQIAAG6IQBZl5ts/D8l9n6yT7FybXBoVIW8N7iyBfj6ubhYAAHBTBLIoEx+u2CtPfL1RbDaRazvWlZdu6iB+Pt6ubhYAAHBjBLI4b1OX7JQXf9pm/h7SvaFMuqadeHt7ubpZAADAzRHIotRsNpv8d+kBmbM6zlwfd0lzuf/yluLlRRALAADKH4EsSiUn1yaPf/2XzP07iH38H61l7EVNXd0sAADgQQhkUWKZ2bly7yfr5PsNh0UzCJ69rp0Mim7k6mYBAAAPQyCLEknLzJbb56yRX7cliJ+Pl0y8oonc0rWBq5sFAAA8EIEsii3pVJaMem+lrN57XKr4+ci0IZ2kVYjN1c0CAAAeivpIKJaElAy59Z0/TBBbPdBX5oyJkd4twl3dLAAA4MEYkcU57T+WJkNnrpA9R9MkrFqAfDA6WlrXqS65ubmubhoAAPBgBLIo0o74FBkyI1aOJKdL/RpVZM7oGGkcVtXVzQIAACCQReHWHzghw9+NleNpWdIiopp8MDpGaocEurpZAAAABoEsCrR851EZM3ulpGbmSIf6IfLeyGipUdXf1c0CALiYppVlZma6uhmW3XdZWVmSnp4u3t6ee5qSn5+f+Pj4lMl9EcjiLL9sipM7P1pj6sX2aFpLpg/vKtUCeKkAgKfTAHb37t2cI3EeM2LqvktJSfH4WTBDQ0Oldu3a570fiE6Qx1drD8gDn603M3dd1iZS3hjUSQL9yuZXEwDA2kHY4cOHzUhagwYNPHpE8Xz2YXZ2tvj6+npsIGuz2SQtLU3i4+PN9Tp16pzX/RHIwmH273tkwrd/mb+v71xPXrjhAvH14YMKACAmANMApG7duhIUFOTq5lgSgexpVapUMf9rMBsREXFeaQYEsjBvrP8u3CEvz99mro+4sLGMv7qNeOv8swAAiEhOTo7539+f8yVw/uw/hjRnmEAWpZaba5Nnf9gsM5ftNtf/3a+F3NO3hUf/UgQAFI7vB1Sm1xHHjT1Ydk6uPPTFekcQq6Ow/+7Xkg8pAABwXicF/uc//5HNmzdLeSOQ9VAZ2Tky7qO18vnqA+Lj7SUv3dRBRvVq4upmAQBgOU8++aTcdtttxQ7ymjRpIqtWrRJ3df/998uGDRskKiqq3B+L1AIPlJqRLbd9sEp+23FU/H285Y3/6yT929Z2dbMAAB5Aq+LE7j4m8SnpEhEcKNFNapoBFas6cuSITJkyxQRudiNGjJATJ07I119/fdb2mmOsgd7DDz8sCxYsEHfz6aefyl9//SXz5s2rkCO8BLIe5kRapoyYtVLW7T8hQf4+Mn1YV+nZPMzVzQIAeIB5Gw/LxO82yeGkdMeyOiGBMmFAG7mi3fmVYXKVGTNmyIUXXiiNGjUq9m0GDx4sDzzwgAn42rZtK1Y/CdDLy8tRju3mm282l4pCaoEHiU9Ol1ve/sMEsaFBfvLR2O4EsQCACgti75izJk8Qq44kpZvlur48XHzxxTJu3DhzCQkJkbCwMJMKoBV7iiMjI8OMnmrt3ICAAGnevLnMnDnTsX7u3LkyYMCAErWpRo0a0rNnT3PbwixevNgEiD/99JN06tTJlKy69NJLTcmqH3/8UVq3bi3Vq1eX//u//zNl0ex0woXJkyeb9AW9TYcOHeTzzz93rD9+/LgJpMPDw836Fi1ayKxZs/I8po4m261bt84s27Nnj7n+3nvvmckMvv32W2nTpo3ZJ/v27TP7SYPzevXqSdWqVSUmJsbcX3ljRNZD7DuaJkNmrpB9x9IkIjhA5oyJkZaRwa5uFgDAojQQPJV1uiRXcdIJtE55QaGjLtMD0E99u8kMrhQnzaCKn0+JDlvPnj1bRo8eLbGxsSY3VfNZGzZsKGPHjj3nbYcNGybLly+X119/3QSFOrNZYmKiWXfs2DHZtGmTdO3aVUoqOjpali5des7tnnrqKfnvf/9rylXZRzs1ePzoo4/k5MmTct1118kbb7xhgm2lQeycOXNk2rRpJkj99ddfZciQISZw7dOnjwnitc0aDGtQv2PHDjl16lSJ2q6B8/PPP29Go2vVqmVqweoPBb1fDc611vBXX30lV1xxhUm50HaUFwJZD7D1SIoMnblC4lMypGHNIPlwTIw0qEkxawBA6WkQ22b8T2VyXxrMHklOl/ZP/Vys7TdN6i9B/sUPYXQ09dVXXzXBb6tWrUxwpdfPFchu27bN5HzOnz9f+vXrZ5Y1bdrUsV5HIjWg18CtpPQ2e/fuPed2zzzzjBm9VRqMP/roo7Jz505HO2688UZZtGiRCWR1VFSrBfzyyy/So0cPR3uXLVsmb7/9tglktc06wmsPvhs3blzitmvt17feessE9krvU0d19X/7vtDRWc2T1eXapvJCIOvm1u47bnJik05lSVTtYHl/VLREVA90dbMAAKgw3bt3zzOCq0Heyy+/bPI7iyrGr4fVdb0GgAWxj2QGBpb8e1UP6zunBBTmggsucPwdGRlpRmadg+nIyEgz0qx0dFXv87LLLjurUoIGr+qOO+6QG264QdasWSOXX365DBw40OT4loSesObcLv1hoPuyZcuWebbTwFpHbMsTgawbW7Y90VQnSMvMkU4NQ2XWiG4SGsSMLACA86eH93VktDi0SoEOqpzLeyO7mSoGxXnsipxKtTB6aN6ed6qH7ktC0xKKcxs/Pz/H3xqMO1+3L9O8WKWpBur77783uarONB1BXXnllWYk+IcffjAjzX379pW77rpLXnrpJccJW875wzr6WtB+cf5hoI+rAf/q1avP+mFQrVo1KU8Esm5q3sYjcvfHayUzJ1d6twiTaUO6SNUAuhsAUDY0kCnu4f3eLcJNdQI9saugPFkNiWqHBJrtyqMU14oVK/Jc/+OPP0ze5rmmRm3fvr0JEpcsWeJILXDWrFkzc8KV5obmH408l40bNzpGSctKG6eTrwobRVYaQA8fPtxcevfuLQ8++KAJZO2B9eHDh80JafZR6XPR56Ejsnoimt5fRaJqgRv6bNV+ufPD1SaIvbJdbZkxvCtBLADAZTQ41RJbKn+Yar+u68urnqwGdvfdd59s3bpVPv74Y3Ny1D333HPO22n+qAZ7o0aNMjVh9UQvPRNf82aVjmBqgKs5qPklJSWZIND5sn//fsd6PdFLD+2XpeDgYJObeu+995oT3DSXVlMI9PnqdTV+/Hj55ptvTBqClv/63//+ZyogKK3IoPnEeoLZ9u3bzciupmCciwbxWglBT4z78ssvzX7SdAc98UzvozwRyLoZnW72wc/XS65N5Oau9eWNQZ0kwLdiDsEAAFAYrRM7dUhnM/LqTK/r8vKsI6sBluazaqUAPYyuQWxxZ+KaOnWqOaHqzjvvNDNV6QliqampjvVjxowxZ+rbD+/bacCrI5XOl4kTJ5p1WgVBA12937L29NNPm8oEGkRqgKqVAzSY1HJc9vxWPWFMc1wvuugiMyptLwOmaQsa6G/ZssWs18oEerJZcehJXbqfdbIHPaFOc29XrlxpqkOUJy9bcQupeZDk5GRTa05fZHrIwAq0G1/9Zbu8vmC7uT6mVxN5/KrW5Tqrhr5p9TCClt2w59XAuuhP90FfupfK0p/p6elmpE0DotKc3OSqmb20jmzHjh3ltddeK7fvX62ZqqOggwYNOue22dnZphyWnvH/2GOPiadKL+L1VJI4jOPNbiA31yaT/rdJ3vv9dLHiBy5vKXdd0rxCpoYDAKAkNGjt0ax8z2SvSPpd+8477+SZorYoWkGgXbt2JvDF+SOQtbisnFx56PP18tXag+b6pGvbyrAeJa8JBwCAp9E8VT2LvzD2KgDnoiO+eikOPbT/xBNPMNhURghkLSw9K0fGfbRWftkcZ37hvnxTBxnYKW+5DQAAPFlR06TqpADFOSsflReBrEWlpGfJ2PdXyR+7jkmAr7e8Nbiz9G0d6epmAQBgGVoPVc/Uh3URyFrQsdRMGTErVtYfSJJqAb6mvFb3pu6TbwQAAFAcBLIWczjplAydGSs74k9Kzar+MntktLSvH+LqZgEAAFQ4AlkL2Z2YKkNmrJCDJ06ZGVI+GB0jzSPKd+o3AACAyopA1iI2HUqWYe/GSuLJDGkSVlU+GB0t9WsEubpZAAAALkMgawGr9x6TkbNWSnJ6trSpU11mj4qW8OAAVzcLAADApZjypZJbsi1BBs9YYYLYro1qyMe3dSeIBQCgEtEpYYs75W1xdO/eXb744osyuz93RiBbiX2//rCMmb1S0rNypU/LcJMTG1LFz9XNAgAAfzty5IhMmTJFHn/8cXN906ZN0qtXr7MuWupL/2/durU8+OCDZtsbbrhB+vbtK61atZLJkyc77lMnTHjkkUfM9MTl6dlnn5ULL7xQgoKCJDQ0tNDt9u7da9qvE0RMnz5devfuLTVq1DCXfv36SWxsrLgKgWwlNTd2n/zr4zWSlWOTqy+oI9OHdZUq/j6ubhYAAHAyY8YMEww2atTIXG/Tpo0sW7Ysz0UD0yFDhpjJGerXry933XWX2fbjjz+WBQsWmMtrr73muE+dbSwlJUV+/PHHcm17Zmam3HTTTXLHHXcUud0333wjl1xyiVSrVs08h0GDBsmiRYtk+fLl0qBBA7n88svl4MHTM4xWNAJZF8vJtcnynUflm3UHzf96/e0lO+WRLzdIrk1kUHRDmXJrJ/H3pasAACipiy++WMaNG2cuISEhEhYWZlIBbDZbsW6fkZEhDz/8sAnYAgICzAQKM2fOdKyfO3euDBgwoNDbJycny6RJk+Tll1+WF1980YzCNm7c2DFdbWpqqgls33nnHcdtfHx85B//+Ie57/I0ceJEuffee6V9+/bnDGSvueYa8/eHH34od955p5mSNyoqygTyOnKswbgrcLKXC83beFgmfrdJDielO5ZVDfCR1Iwc8/ftfZrJw1e0Yj5mAEClpaN6ys/Pz/F9lZOTYy7e3t7i6+tbpttqkFdSs2fPltGjR5tD4KtWrTL5rA0bNpSxY8ee87bDhg0zI4+vv/66dOjQQXbv3i2JiYlm3bFjx0wqgU51WxhNI9ARWR2x/PXXX+Xbb791rNu6dasJsHV9nz598twuOjpannvuuSLb1rZtW3PYvzCaAnC+o7onTpwwo8offPBBgevT0tIkKytLatasKa5AIOvCIPaOOWsk/+9BexA7sGM9eeTKKJe0DQCA4rLndj7wwANStWpV8/dvv/1mDj136tTJMZKnXnrpJRP03HPPPY6czJUrV8pPP/1kRgWvv/56x7aad6pBkh72joiIMMvWrVsnXbp0KXEbdTT11VdfNQGx5qNu2LDBXD9XILtt2zb59NNPZf78+SYXVDVt2tSxft++fWZkt27dugXefuHChSYgv+KKK8zh92nTpuUZnNJgVZ+bjvgq3Weai6r0Pvfv329GOzXIL8gPP/xg9mdh7Pd1PvQxLrjggkKfo7Zd19n3T0UjkHUBTR/QkdiiDmqs2H06zcDHm9FYAADOtwqAcwDZo0cPc6j/XCO8Gjjr+vyjpXanTp0y/wcGBp61TlMGxo8fL999953Jf9X0g2bNmkl2drZjm6SkpCKDUA1iNbWhsIC00d95ueXJOa0gPx0x1vQHzZstaB9UBAJZF4jdfSxPOkFBdL1u16NZrQprFwAAJfXoo486UgDsevbsaYLH/COJOmqbf9tu3bpJ586dz9pWR23zb6t5mRXpXCOamm+rjh8/LuHh4XnWadUBHa08evSoGXEu6SF+TVvQEe6i2tC2nFMLdDR53rx58thjj521TkfXNZD95ZdfzIitqxDIukB8SnqZbgcAgKvoCUv56ShmQSOdZbFtaaxYsSLP9T/++ENatGhxzvvTdAcdFV2yZEmBh851hLV69eomT7Zly5aO5UuXLjWjrVdffbWpQPDf//7XBOrFPcFMbdy40aRmFOWHck4t0JFWLbGlucHOXnjhBVO6SwP0ovKDKwKBrAtEBAeW6XYAAKBwmst63333yT//+U9Zs2aNvPHGGya14Fy0usDw4cNl1KhRjpO9dAQ0Pj5ebr75ZhOcaoCrJ0MNHDjQkW6gI5hff/21vPnmm3LZZZeZoLmkNBjWvNqiNDrP1ALdLzryq/9rmoWmUiitzKCltvTEtPxpBc8//7xJmfjoo4/M/tE6ukq310tFI5B1gegmNaVOSKAcSUovME9Ws3hqhwSa7QAAwPnRygMaYOrJVToKq2kLxZ2Ja+rUqSYw1ZJTmiag1Q6cD7WPGTPGnDSmo5Qa2H755Zeyc+dOufbaa2Xt2rUm+P3qq68c2+uorKZdFBVIa4WD33//XebMmSPlafz48aaig519BFhPOtOyZRrIvvvuu2ftD005uPHGG/MsnzBhgjz11FNS0bxsJRnn9hBa801rzelhAT1kUJ5VC5RzB9hT0acO6SxXtKsjlZkebtFfpXrGZWFnVMI66E/3QV+6l8rSn+np6ab0VJMmTVx2Yk9paECmubXOEw6UJQ2jYmJiTD1WnSjgXNvqyV5aZqyo0pqaW6t5t861ZSvamjVr5NJLL5WEhIQ8ecoV8XoqSRzGJ5yLaJCqwaqOvDrT61YIYgEAgJiAVANO52oE50t/tDz99NPiStnZ2SYFozyC2LJUKQJZzSHRPAuNyPVXTXHn7NWSD/oCsuel2I0YMcIsd75oDbfKRoPVZQ9fKh+P7S5Tbu1o/tfrBLEAAJQ/zUO153YWdCkuHfEdOnRombXr/vvvl8jISHGl6OjoMn1Obpsj+8knn5gEbC0SrEGsDv3379/fzHZhL4BckD179pgyHlpaoiAauM6aNctxXaeVq4y0TiwltgAAKB965n1h9Ix7+wlOsCaXB7KvvPKKSZIeOXKkua4B7ffff2+Si7UGW0H0zLrBgwebOYL115ROn5afBq61a9cu9/YDAABr0vJUeoY+rMulqQV61tvq1avz1Gazl7LQeY0LM2nSJDNaq/MmF/ULTLfRqeh0ejs90xAAAADuw6UjsomJiWZ0NX8eiF7fsmVLgbfRWm0zZ84s8lCAphXofM16JpyWwNAyGVqQWIPjgoof6/RvenE+W85+pqheUDDdN3oGJvvIPdCf7oO+dC+VpT+d20HBo9Kz7ztP34e5Tq+n/K/tkrzWXZ5aUBIpKSkm8Xj69OmOaeEKcuutt+aZlUOnTtPZN3SUtm/fvmdtP3nyZJOmkJ+WnNDyECiYvtC0NIa+ECnxY330p/ugL91LZelPHXjSi34vVvYz2Ssr7UPdh6qo8lue4OTJk2ZfaHpo/te1xnuWCGQ1GNUR0ri4uDzL9XpB+a06uqoneQ0YMOCsqF1rsukJYhqw5te0aVPzWDt27CgwkNV5ovWEM+cR2QYNGph5k8urjqw70H2vb0TdT3xZWh/96T7oS/dSWfpTgzCdDlVngtLzUHhtlU5RU8p6ApvNJmlpaSbls1atWgXGeyWpU+zSQFbnUe7SpYssWLDAUUJL37B6fdy4cWdtHxUVJRs2bMiz7IknnjCR+5QpU0zwWZADBw6YHVanTsFlrfQNWVBVA32T8kYtmn64sp/cB/3pPuhL91JZ+rNu3bqmiL1OaYqSsx9K13709BHZ0NBQE8QWtB9K8jp3eWqBjoTqPMZaAkNrlmn5rdTUVEcVA51Wrl69eubwv0bo7dq1O2tHKPtyHarWNIEbbrjB7CAdxX3ooYfMWYla1gsAAJR+AKpFixbmZG2UnAax9pFIV/8ocSVNTSnonKXScHkge8stt5hcVJ3v98iRI6ao8Lx58xwngOmvvpJ0tu6Y9evXm7mDNe9Cfz1efvnlZoaMylpLFgAAq9DvZCtNUVvZAlkN4nT/eXIgW5a8bJ5+2lwBSjLHryerLPN/o2zQn+6DvnQv9Kf7oC/LPg5jLwIAAMCSCGQBAABgSS7Pka2M7NkW9okRUPghEq0YQa6Pe6A/3Qd96V7oT/dBXxaPPf4qTvYrgWwB7IV4CyvnBQAAgPKPxzRXtiic7FXIL6ZDhw5JcHCwx9d5K4p94oj9+/dzUpwboD/dB33pXuhP90FfFo+GphrEauWpc41cMyJbAN1p9evXd3UzLEPfjLwh3Qf96T7oS/dCf7oP+vLczjUSa0eCBgAAACyJQBYAAACWRCCLUtOZ0iZMmMCMaW6C/nQf9KV7oT/dB31Z9jjZCwAAAJbEiCwAAAAsiUAWAAAAlkQgCwAAAEsikEWRJk+eLN26dTOTQ0RERMjAgQNl69atebZJT0+Xu+66S2rVqiXVqlWTG264QeLi4lzWZhRu6tSpcsEFFzhqGPbo0UN+/PFHx3r60rqee+45M4HLv//9b8cy+tM6nnrqKdN/zpeoqCjHevrSWg4ePChDhgwx/VWlShVp3769rFq1yrFeT08aP3681KlTx6zv16+fbN++3aVttioCWRRpyZIl5sPzjz/+kPnz50tWVpZcfvnlkpqa6tjm3nvvle+++04+++wzs73Oinb99de7tN0omE70oQHP6tWrzYfqpZdeKtdee6389ddfZj19aU0rV66Ut99+2/xIcUZ/Wkvbtm3l8OHDjsuyZcsc6+hL6zh+/Lj07NlT/Pz8zEDBpk2b5OWXX5YaNWo4tnnhhRfk9ddfl2nTpsmKFSukatWq0r9/f/ODBSWkVQuA4oqPj9cqF7YlS5aY6ydOnLD5+fnZPvvsM8c2mzdvNtssX77chS1FcdWoUcM2Y8YM+tKiUlJSbC1atLDNnz/f1qdPH9s999xjltOf1jJhwgRbhw4dClxHX1rLww8/bOvVq1eh63Nzc221a9e2vfjii3n6OCAgwPbxxx9XUCvdByOyKJGkpCTzf82aNc3/OrKno7R6WMROD4c1bNhQli9f7rJ24txycnJk7ty5ZnRdUwzoS2vSIyZXXXVVnn5T9Kf16KFlnVu+adOmMnjwYNm3b59ZTl9ay7fffitdu3aVm266yaTkderUSaZPn+5Yv3v3bjly5Eie/tTpWGNiYujPUiCQRbHl5uaa/Ds9ZNKuXTuzTN+M/v7+EhoammfbyMhIsw6Vz4YNG0yOnRbkvv322+Wrr76SNm3a0JcWpD9E1qxZY3LZ86M/rUWDmPfee0/mzZtnctk12Ondu7ekpKTQlxaza9cu04ctWrSQn376Se644w65++67Zfbs2Wa9vc+0/5zRn6XjW8rbwUNHfjZu3JgnbwvW06pVK1m3bp0ZXf/8889l+PDhJucO1rJ//3655557TO56YGCgq5uD83TllVc6/tZcZw1sGzVqJJ9++qk5GQjWGvTREdn//Oc/5rqOyOp3p+bD6uctyhYjsiiWcePGyf/+9z9ZtGiROWHIrnbt2pKZmSknTpzIs72eTavrUPnoyE7z5s2lS5cuZiSvQ4cOMmXKFPrSYvRwc3x8vHTu3Fl8fX3NRX+Q6Akk+reO7tCf1qWjry1btpQdO3bw3rQYrUSgR7mctW7d2pEqYu+z/FUn6M/SIZBFkbREiAaxevh54cKF0qRJkzzrNRjSMzMXLFjgWKblufQNq3mXsMboQUZGBn1pMX379jVpIjq6br/oKJDmVtr/pj+t6+TJk7Jz504TFPHetBZNv8tfpnLbtm1mhF3p96gGrM79mZycbKoX0J+l4OqzzVC53XHHHbaQkBDb4sWLbYcPH3Zc0tLSHNvcfvvttoYNG9oWLlxoW7Vqla1Hjx7mgsrnkUceMRUndu/ebVu/fr257uXlZfv555/NevrS2pyrFij60zruv/9+8zmr783ffvvN1q9fP1tYWJipFKPoS+uIjY21+fr62p599lnb9u3bbR9++KEtKCjINmfOHMc2zz33nC00NNT2zTffmM/ia6+91takSRPbqVOnXNp2KyKQRZH0t05Bl1mzZjm20TfenXfeaco46Zv1uuuuM8EuKp9Ro0bZGjVqZPP397eFh4fb+vbt6whiFX3pXoEs/Wkdt9xyi61OnTrmvVmvXj1zfceOHY719KW1fPfdd7Z27dqZklpRUVG2d95556wSXE8++aQtMjLSbKOfxVu3bnVZe63MS/8pzUguAAAA4ErkyAIAAMCSCGQBAABgSQSyAAAAsCQCWQAAAFgSgSwAAAAsiUAWAAAAlkQgCwAAAEsikAUAAIAlEcgCAADAkghkAcCNjBgxQgYOHOjqZgBAhSCQBQAAgCURyAIAAMCSCGQBAABgSQSyAAAAsCQCWQAAAFgSgSwAAAAsiUAWAAAAluTr6gYAAMpWUlKSrFu3Ls+yWrVqSYMGDVzWJgAoDwSyAOBmFi9eLJ06dcqzbPTo0TJjxgyXtQkAyoOXzWazlcs9AwAAAOWIHFkAAABYEoEsAAAALIlAFgAAAJZEIAsAAABLIpAFAACAJRHIAgAAwJIIZAEAAGBJBLIAAACwJAJZAAAAWBKBLAAAACyJQBYAAACWRCALAAAAsaL/Bz69rgTmYUn0AAAAAElFTkSuQmCC", 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" ] @@ -749,13 +752,13 @@ "for L, p_c in zip(L_VALUES, p_c_arr):\n", " print(f\"{L:>3} | {p_c:>10.4f}\")\n", "\n", - "# Fit log-log : p_c(L) - 1/2 ~ L^{-1/ν}\n", + "# Fit log-log : |p_c(L) - 1/2| ~ L^{-1/ν}\n", + "# p_c(L) < 1/2 sur ces L : la déviation est négative, on ajuste sa valeur absolue\n", "deviation = p_c_arr - 0.5\n", - "# Garder seulement L où la déviation est > 0\n", - "mask = deviation > 0\n", + "mask = np.abs(deviation) > 0 # exclut les L sans solution (nan)\n", "if mask.sum() >= 2:\n", " log_L_dev = np.log(L_arr[mask])\n", - " log_dev = np.log(deviation[mask])\n", + " log_dev = np.log(np.abs(deviation[mask]))\n", " slope_nu, intercept_nu, r_nu, _, _ = stats.linregress(log_L_dev, log_dev)\n", " inv_nu_measured = -slope_nu\n", " print(f\"\\nFit log-log : 1/ν mesuré = {inv_nu_measured:.4f} (exact: 3/4 = {3/4:.4f})\")\n", @@ -777,10 +780,10 @@ "id": "2fb1f0e2", "metadata": { "papermill": { - "duration": 0.002993, - "end_time": "2026-10-09T11:50:53.989605+00:00", + "duration": 0.003082, + "end_time": "2026-10-09T13:42:03.882760+00:00", "exception": false, - "start_time": "2026-10-09T11:50:53.986612+00:00", + "start_time": "2026-10-09T13:42:03.879678+00:00", "status": "completed" }, "tags": [] @@ -793,7 +796,7 @@ "\n", "**Acceptance** (vérifiée dans les cellules ci-dessus) :\n", "\n", - "- [ ] `β/ν ∈ [-0.15, -0.13]` au point critique (R² > 0.95 sur fit log-log)\n", + "- [ ] `β/ν ∈ [0.099, 0.109]` au point critique (R² > 0.95 sur fit log-log)\n", "- [ ] `τ' ∈ [2.0, 2.1]` au point critique (R² > 0.95 sur fit log-log)\n", "- [ ] `p_c(L) → 1/2` monotone quand `L` croît\n", "- [ ] Convention honnête : déviations de 2-5% aux valeurs exactes sont attendues (corrections d'échelle finie)\n", @@ -821,10 +824,10 @@ "id": "50825085", "metadata": { "papermill": { - "duration": 0.003496, - "end_time": "2026-10-09T11:50:53.995992+00:00", + "duration": 0.002736, + "end_time": "2026-10-09T13:42:03.889146+00:00", "exception": false, - "start_time": "2026-10-09T11:50:53.992496+00:00", + "start_time": "2026-10-09T13:42:03.886410+00:00", "status": "completed" }, "tags": [] @@ -839,7 +842,7 @@ "\n", "| Mesure | Valeur | Cible (Kesten) | Statut |\n", "|--------|--------|--------|--------|\n", - "| `β/ν` mesuré (log-log fit) | `0.102 ± 0.01` | `5/48 ≈ 0.104` | DANS LA BARRE — cible atteinte |\n", + "| `β/ν` mesuré (log-log fit) | `0.102 ± 0.01` | `5/48 ≈ 0.1042` | TROP PETIT — corrections d'échelle |\n", "| `τ'` moyen (4 L) | `2.20 ± 0.05` | `187/91 ≈ 2.055` | TROP GRAND — bulk dominé par petits `L` |\n", "| `p_c(L)` convergence | `0.4513 → 0.4741 → 0.4890` | `→ 1/2` monotone | CONFORME |\n", "\n", @@ -853,7 +856,7 @@ "\n", "1. **Étendre le sweep à `L ∈ {128, 256, 512}`** — 5× la plage actuelle,\n", " au prix de ~3 min supplémentaires par `(L, p)` × 32 seeds × 5 p.\n", - " Permettrait de mesurer `β/ν ∈ [0.09, 0.12]` (cible 0.104 ± 0.01).\n", + " Permettrait de mesurer `β/ν ∈ [0.12, 0.14]` (cible 0.1042 ± 0.01).\n", "2. **Augmenter le nombre de seeds** à 64-256 par `(L, p)` pour\n", " lisser les fluctuations à petit `L` (actuellement ±30% à L=8).\n", "3. **Migrer vers `scipy.sparse.csgraph.connected_components`** pour\n", @@ -862,7 +865,7 @@ "**Convention honnête** : les valeurs affichées dans les cellules\n", "précédentes sont les **mesures réelles** du sweep actuel, pas des\n", "ajustements cherry-picking. Un lecteur qui augmente `L` jusqu'à\n", - "512 doit voir `β/ν` rester dans la barre de 0.104. Cette convergence est\n", + "512 doit voir `β/ν` converger vers 0.1042. Cette convergence est\n", "l'objet de la loi d'échelle finie, pas une coïncidence." ] } @@ -887,14 +890,14 @@ }, "papermill": { "default_parameters": {}, - "duration": 10.586769, - "end_time": "2026-10-09T11:50:54.574128+00:00", + "duration": 10.971451, + "end_time": "2026-10-09T13:42:04.353453+00:00", "environment_variables": {}, "exception": null, "input_path": "Percolation-03-Critique-Python.ipynb", - "output_path": "Percolation-03-Critique-Python.ipynb", + "output_path": "Percolation-03-Critique-Python_output.ipynb", "parameters": {}, - "start_time": "2026-10-09T11:50:43.987359+00:00", + "start_time": "2026-10-09T13:41:53.382002+00:00", "version": "2.7.0" } }, diff --git a/MyIA.AI.Notebooks/Probas/Applications/Percolation/Percolation-03b-Critique-L128-L256.ipynb b/MyIA.AI.Notebooks/Probas/Applications/Percolation/Percolation-03b-Critique-L128-L256.ipynb index aa3226dc3c..2d3b2e5449 100644 --- a/MyIA.AI.Notebooks/Probas/Applications/Percolation/Percolation-03b-Critique-L128-L256.ipynb +++ b/MyIA.AI.Notebooks/Probas/Applications/Percolation/Percolation-03b-Critique-L128-L256.ipynb @@ -5,10 +5,10 @@ "id": "b29e32b8", "metadata": { "papermill": { - "duration": 0.001746, - "end_time": "2026-10-09T11:50:59.070497+00:00", + "duration": 0.001477, + "end_time": "2026-10-09T13:44:48.933114+00:00", "exception": false, - "start_time": "2026-10-09T11:50:59.068751+00:00", + "start_time": "2026-10-09T13:44:48.931637+00:00", "status": "completed" }, "tags": [] @@ -24,7 +24,7 @@ "> critiques `β/ν = 5/48` et `τ' = 187/91`.\n", "\n", "**Question** : les corrections d'échelle finie qui faisaient dévier\n", - "`β/ν = 0.102` (vs 0.104 cible) sur `L ∈ {8, 16, 32, 64}` s'atténuent-elles\n", + "`β/ν = 0.102` (vs 0.1042 cible) sur `L ∈ {8, 16, 32, 64}` s'atténuent-elles\n", "quand on monte à `L ∈ {128, 256}` ?\n", "\n", "**Architecture** :\n", @@ -45,16 +45,16 @@ "id": "baa03242", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:50:59.075074Z", - "iopub.status.busy": "2026-10-09T11:50:59.074683Z", - "iopub.status.idle": "2026-10-09T11:51:00.274496Z", - "shell.execute_reply": "2026-10-09T11:51:00.273963Z" + "iopub.execute_input": "2026-10-09T13:44:48.937261Z", + "iopub.status.busy": "2026-10-09T13:44:48.936928Z", + "iopub.status.idle": "2026-10-09T13:44:50.101701Z", + "shell.execute_reply": "2026-10-09T13:44:50.101038Z" }, "papermill": { - "duration": 1.203117, - "end_time": "2026-10-09T11:51:00.275327+00:00", + "duration": 1.16861, + "end_time": "2026-10-09T13:44:50.103217+00:00", "exception": false, - "start_time": "2026-10-09T11:50:59.072210+00:00", + "start_time": "2026-10-09T13:44:48.934607+00:00", "status": "completed" }, "tags": [] @@ -91,16 +91,16 @@ "id": "17929eed", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:51:00.281714Z", - "iopub.status.busy": "2026-10-09T11:51:00.281245Z", - "iopub.status.idle": "2026-10-09T11:51:00.286138Z", - "shell.execute_reply": "2026-10-09T11:51:00.285614Z" + "iopub.execute_input": "2026-10-09T13:44:50.109939Z", + "iopub.status.busy": "2026-10-09T13:44:50.109525Z", + "iopub.status.idle": "2026-10-09T13:44:50.114480Z", + "shell.execute_reply": "2026-10-09T13:44:50.114048Z" }, "papermill": { - "duration": 0.008675, - "end_time": "2026-10-09T11:51:00.287041+00:00", + "duration": 0.009513, + "end_time": "2026-10-09T13:44:50.115918+00:00", "exception": false, - "start_time": "2026-10-09T11:51:00.278366+00:00", + "start_time": "2026-10-09T13:44:50.106405+00:00", "status": "completed" }, "tags": [] @@ -152,16 +152,16 @@ "id": "578a9cea", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:51:00.291625Z", - "iopub.status.busy": "2026-10-09T11:51:00.291324Z", - "iopub.status.idle": "2026-10-09T11:52:11.646612Z", - "shell.execute_reply": "2026-10-09T11:52:11.645915Z" + "iopub.execute_input": "2026-10-09T13:44:50.123139Z", + "iopub.status.busy": "2026-10-09T13:44:50.122881Z", + "iopub.status.idle": "2026-10-09T13:45:54.444986Z", + "shell.execute_reply": "2026-10-09T13:45:54.444319Z" }, "papermill": { - "duration": 71.36117, - "end_time": "2026-10-09T11:52:11.649967+00:00", + "duration": 64.327675, + "end_time": "2026-10-09T13:45:54.446509+00:00", "exception": false, - "start_time": "2026-10-09T11:51:00.288797+00:00", + "start_time": "2026-10-09T13:44:50.118834+00:00", "status": "completed" }, "tags": [] @@ -171,72 +171,72 @@ "name": "stdout", "output_type": "stream", "text": [ - "L=128 p=0.45: M/L^2 = 0.0513 ± 0.0133 (2.18s)\n" + "L=128 p=0.45: M/L^2 = 0.0513 ± 0.0133 (2.02s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "L=128 p=0.48: M/L^2 = 0.2201 ± 0.1084 (2.39s)\n" + "L=128 p=0.48: M/L^2 = 0.2201 ± 0.1084 (2.07s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "L=128 p=0.50: M/L^2 = 0.6149 ± 0.1112 (2.45s)\n" + "L=128 p=0.50: M/L^2 = 0.6149 ± 0.1112 (2.12s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "L=128 p=0.52: M/L^2 = 0.8003 ± 0.0286 (2.39s)\n" + "L=128 p=0.52: M/L^2 = 0.8003 ± 0.0286 (2.26s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "L=128 p=0.55: M/L^2 = 0.8881 ± 0.0078 (2.44s)\n" + "L=128 p=0.55: M/L^2 = 0.8881 ± 0.0078 (2.30s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "L=256 p=0.45: M/L^2 = 0.0177 ± 0.0045 (11.01s)\n" + "L=256 p=0.45: M/L^2 = 0.0177 ± 0.0045 (10.79s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "L=256 p=0.48: M/L^2 = 0.0916 ± 0.0408 (11.94s)\n" + "L=256 p=0.48: M/L^2 = 0.0916 ± 0.0408 (10.34s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "L=256 p=0.50: M/L^2 = 0.5352 ± 0.1229 (12.06s)\n" + "L=256 p=0.50: M/L^2 = 0.5352 ± 0.1229 (10.17s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "L=256 p=0.52: M/L^2 = 0.7951 ± 0.0175 (13.00s)\n" + "L=256 p=0.52: M/L^2 = 0.7951 ± 0.0175 (11.32s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "L=256 p=0.55: M/L^2 = 0.8884 ± 0.0043 (11.48s)\n", + "L=256 p=0.55: M/L^2 = 0.8884 ± 0.0043 (10.91s)\n", "\n", - "Wall-clock: 71.4s for 320 simulations\n" + "Wall-clock: 64.3s for 320 simulations\n" ] } ], @@ -271,16 +271,16 @@ "id": "12aa79e4", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:52:11.654793Z", - "iopub.status.busy": "2026-10-09T11:52:11.654576Z", - "iopub.status.idle": "2026-10-09T11:52:11.662350Z", - "shell.execute_reply": "2026-10-09T11:52:11.661332Z" + "iopub.execute_input": "2026-10-09T13:45:54.452691Z", + "iopub.status.busy": "2026-10-09T13:45:54.452173Z", + "iopub.status.idle": "2026-10-09T13:45:54.458325Z", + "shell.execute_reply": "2026-10-09T13:45:54.457639Z" }, "papermill": { - "duration": 0.011764, - "end_time": "2026-10-09T11:52:11.663720+00:00", + "duration": 0.0104, + "end_time": "2026-10-09T13:45:54.459305+00:00", "exception": false, - "start_time": "2026-10-09T11:52:11.651956+00:00", + "start_time": "2026-10-09T13:45:54.448905+00:00", "status": "completed" }, "tags": [] @@ -291,17 +291,17 @@ "output_type": "stream", "text": [ "M(L, p=0.50) / L^2 :\n", - " L= 8: M/L^2 = 0.7890\n", - " L= 16: M/L^2 = 0.7320\n", - " L= 32: M/L^2 = 0.7100\n", - " L= 64: M/L^2 = 0.6290\n", + " L= 8: M/L^2 = 0.7939\n", + " L= 16: M/L^2 = 0.7347\n", + " L= 32: M/L^2 = 0.7158\n", + " L= 64: M/L^2 = 0.6363\n", " L=128: M/L^2 = 0.6149\n", " L=256: M/L^2 = 0.5352\n", "\n", "Log-log fit (6 points):\n", - " slope = -0.1065 (cible -beta/nu = -5/48 = -0.1042)\n", - " beta/nu mesure = 0.1065 (cible 5/48 = 0.1042)\n", - " R^2 = 0.9635\n", + " slope = -0.1081 (cible -beta/nu = -5/48 = -0.1042)\n", + " beta/nu mesure = 0.1081 (cible 5/48 = 0.1042)\n", + " R^2 = 0.9643\n", " std_err = 0.0104\n" ] } @@ -309,10 +309,10 @@ "source": [ "# Combine c.1104 (L in {8,16,32,64}) + c.1105 (L in {128, 256}) for 6-point log-log fit\n", "C1104_TABLE = {\n", - " 8: {0.45: 0.642, 0.48: 0.753, 0.50: 0.789, 0.52: 0.848, 0.55: 0.902},\n", - " 16: {0.45: 0.493, 0.48: 0.661, 0.50: 0.732, 0.52: 0.802, 0.55: 0.872},\n", - " 32: {0.45: 0.299, 0.48: 0.549, 0.50: 0.710, 0.52: 0.814, 0.55: 0.895},\n", - " 64: {0.45: 0.118, 0.48: 0.393, 0.50: 0.629, 0.52: 0.793, 0.55: 0.881},\n", + " 8: {0.45: 0.6528, 0.48: 0.7544, 0.50: 0.7939, 0.52: 0.8467, 0.55: 0.9043},\n", + " 16: {0.45: 0.4845, 0.48: 0.6575, 0.50: 0.7347, 0.52: 0.8065, 0.55: 0.8732},\n", + " 32: {0.45: 0.3016, 0.48: 0.5524, 0.50: 0.7158, 0.52: 0.8151, 0.55: 0.8942},\n", + " 64: {0.45: 0.1196, 0.48: 0.3984, 0.50: 0.6363, 0.52: 0.7973, 0.55: 0.8821},\n", "}\n", "\n", "L_ALL = [8, 16, 32, 64, 128, 256]\n", @@ -348,16 +348,16 @@ "id": "b46aa17e", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:52:11.669244Z", - "iopub.status.busy": "2026-10-09T11:52:11.668743Z", - "iopub.status.idle": "2026-10-09T11:52:11.707427Z", - "shell.execute_reply": "2026-10-09T11:52:11.706871Z" + "iopub.execute_input": "2026-10-09T13:45:54.465644Z", + "iopub.status.busy": "2026-10-09T13:45:54.465301Z", + "iopub.status.idle": "2026-10-09T13:45:54.540105Z", + "shell.execute_reply": "2026-10-09T13:45:54.539415Z" }, "papermill": { - "duration": 0.042501, - "end_time": "2026-10-09T11:52:11.708577+00:00", + "duration": 0.08024, + "end_time": "2026-10-09T13:45:54.541592+00:00", "exception": false, - "start_time": "2026-10-09T11:52:11.666076+00:00", + "start_time": "2026-10-09T13:45:54.461352+00:00", "status": "completed" }, "tags": [] @@ -370,7 +370,10 @@ "L=128: tau_prime = 2.163 (cible 187/91 = 2.055)\n", "L=256: tau_prime = 2.183 (cible 187/91 = 2.055)\n", "\n", - "tau_prime moyen (6 L) = 2.188 (cible 2.055)\n" + "L=128: tau_prime=2.163, R^2=0.990, n_bins=16153\n", + "L=256: tau_prime=2.183, R^2=0.991, n_bins=64712\n", + "\n", + "tau_prime moyen (6 L) = 2.221 (cible 2.055)\n" ] } ], @@ -380,7 +383,18 @@ "\n", "# c.1104 tau_prime values (mean over 4 L)\n", "# Source: docs/research/percolation-03-critique-results.md §6\n", - "TAU_PRIME_C1104 = {8: 2.25, 16: 2.20, 32: 2.18, 64: 2.15} # approx from c.1104\n", + "# Mesures directes c.1104 (papermill 2026-10-09, source c.1104 §9).\n", + "# Format (valeur, R^2) par L -- le R^2 instrumente au c.1133 reste\n", + "# descriptif, sans seuil impose par le notebook. Le lecteur tranche\n", + "# l'acceptance. Les 4 L c.1104 sont des bornes de reference, PAS des\n", + "# cibles que le 03b chercherait a approcher.\n", + "TAU_PRIME_C1104 = {\n", + " 8: (2.570, 0.915), # R^2 < 0.95 -- bulk insuffisant (64 noeuds)\n", + " 16: (2.092, 0.995),\n", + " 32: (2.107, 0.974),\n", + " 64: (2.211, 0.996), # hors intervalle acceptance [2.0, 2.1]\n", + "}\n", + "TAU_PRIME_C1104_VALS = {L: v for L, (v, _r2) in TAU_PRIME_C1104.items()}\n", "\n", "def fit_tau_prime(sizes, s_min=None, s_max=None):\n", " \"\"\"Fit log-log slope of size distribution P(s) ~ s^{-tau_prime}.\"\"\"\n", @@ -403,7 +417,7 @@ " slope, _, r_value, _, _ = stats.linregress(log_s_hist, log_p_hist)\n", " return -slope\n", "\n", - "tau_prime_all = dict(TAU_PRIME_C1104)\n", + "tau_prime_all = dict(TAU_PRIME_C1104_VALS)\n", "for L in L_VALUES_NEW:\n", " sizes = results[(L, P_AT_C)][\"all_sizes\"]\n", " tp = fit_tau_prime(sizes)\n", @@ -411,6 +425,19 @@ " print(f\"L={L:3d}: tau_prime = {tp:.3f} (cible 187/91 = {187/91:.3f})\")\n", "\n", "tau_prime_mean = np.mean(list(tau_prime_all.values()))\n", + "print() # separator\n", + "# Diagnostic R^2 par L (re-fit local sur bins=20 lineaire)\n", + "for _L in L_VALUES_NEW:\n", + " _sizes = results[(_L, P_AT_C)][\"all_sizes\"]\n", + " _smin = max(2, int(np.percentile(_sizes, 5)))\n", + " _smax = int(np.percentile(_sizes, 95))\n", + " _bulk = [s for s in _sizes if _smin <= s <= _smax]\n", + " if len(_bulk) >= 10:\n", + " _counts, _edges = np.histogram(np.array(_bulk), bins=20)\n", + " _centers = 0.5 * (_edges[:-1] + _edges[1:])\n", + " _mask = _counts > 0\n", + " _slope, _, _r_value, _, _ = stats.linregress(np.log(_centers[_mask]), np.log(_counts[_mask] / _counts.sum()))\n", + " print(f\"L={_L}: tau_prime={-_slope:.3f}, R^2={_r_value**2:.3f}, n_bins={(_counts[_mask]).sum()}\")\n", "print(f\"\\ntau_prime moyen (6 L) = {tau_prime_mean:.3f} (cible {187/91:.3f})\")" ] }, @@ -420,16 +447,16 @@ "id": "50d8dc8c", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:52:11.716060Z", - "iopub.status.busy": "2026-10-09T11:52:11.715607Z", - "iopub.status.idle": "2026-10-09T11:52:12.405445Z", - "shell.execute_reply": "2026-10-09T11:52:12.404521Z" + "iopub.execute_input": "2026-10-09T13:45:54.546890Z", + "iopub.status.busy": "2026-10-09T13:45:54.546383Z", + "iopub.status.idle": "2026-10-09T13:45:55.533618Z", + "shell.execute_reply": "2026-10-09T13:45:55.532518Z" }, "papermill": { - "duration": 0.695233, - "end_time": "2026-10-09T11:52:12.406779+00:00", + "duration": 0.990733, + "end_time": "2026-10-09T13:45:55.534660+00:00", "exception": false, - "start_time": "2026-10-09T11:52:11.711546+00:00", + "start_time": "2026-10-09T13:45:54.543927+00:00", "status": "completed" }, "tags": [] @@ -437,7 +464,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -489,16 +516,16 @@ "id": "6deafdca", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:52:12.417164Z", - "iopub.status.busy": "2026-10-09T11:52:12.416793Z", - "iopub.status.idle": "2026-10-09T11:52:12.865479Z", - "shell.execute_reply": "2026-10-09T11:52:12.864445Z" + "iopub.execute_input": "2026-10-09T13:45:55.541764Z", + "iopub.status.busy": "2026-10-09T13:45:55.541484Z", + "iopub.status.idle": "2026-10-09T13:45:55.935241Z", + "shell.execute_reply": "2026-10-09T13:45:55.934611Z" }, "papermill": { - "duration": 0.454206, - "end_time": "2026-10-09T11:52:12.866696+00:00", + "duration": 0.398978, + "end_time": "2026-10-09T13:45:55.936197+00:00", "exception": false, - "start_time": "2026-10-09T11:52:12.412490+00:00", + "start_time": "2026-10-09T13:45:55.537219+00:00", "status": "completed" }, "tags": [] @@ -506,7 +533,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -549,16 +576,16 @@ "id": "6a0c920a", "metadata": { "execution": { - "iopub.execute_input": "2026-10-09T11:52:12.877241Z", - "iopub.status.busy": "2026-10-09T11:52:12.876717Z", - "iopub.status.idle": "2026-10-09T11:52:13.245286Z", - "shell.execute_reply": "2026-10-09T11:52:13.244873Z" + "iopub.execute_input": "2026-10-09T13:45:55.944233Z", + "iopub.status.busy": "2026-10-09T13:45:55.943863Z", + "iopub.status.idle": "2026-10-09T13:45:56.278414Z", + "shell.execute_reply": "2026-10-09T13:45:56.277735Z" }, "papermill": { - "duration": 0.374798, - "end_time": "2026-10-09T11:52:13.246530+00:00", + "duration": 0.340144, + "end_time": "2026-10-09T13:45:56.279515+00:00", "exception": false, - "start_time": "2026-10-09T11:52:12.871732+00:00", + "start_time": "2026-10-09T13:45:55.939371+00:00", "status": "completed" }, "tags": [] @@ -569,16 +596,16 @@ "output_type": "stream", "text": [ "L= 8: p_c hors plage\n", - "L= 16: p_c(L) = 0.4512\n", - "L= 32: p_c(L) = 0.4741\n", - "L= 64: p_c(L) = 0.4891\n", + "L= 16: p_c(L) = 0.4527\n", + "L= 32: p_c(L) = 0.4737\n", + "L= 64: p_c(L) = 0.4885\n", "L=128: p_c(L) = 0.4942\n", "L=256: p_c(L) = 0.4984\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -638,10 +665,10 @@ "id": "49be8191", "metadata": { "papermill": { - "duration": 0.004607, - "end_time": "2026-10-09T11:52:13.256657+00:00", + "duration": 0.003098, + "end_time": "2026-10-09T13:45:56.286350+00:00", "exception": false, - "start_time": "2026-10-09T11:52:13.252050+00:00", + "start_time": "2026-10-09T13:45:56.283252+00:00", "status": "completed" }, "tags": [] @@ -653,8 +680,8 @@ "\n", "| Métrique | c.1104 (4 L) | **c.1105 (6 L)** | Cible Kesten | Convergence |\n", "|----------|--------------|------------------|---------------|-------------|\n", - "| `β/ν` (log-log fit) | `0.102` | *mesure live* | `5/48 ≈ 0.104` | atteinte |\n", - "| `τ'` moyen | `2.20` | *mesure live* | `187/91 ≈ 2.055` | en cours |\n", + "| `β/ν` (log-log fit) | `0.102` | **0.1081** (R² = 0.964) | `5/48 ≈ 0.1042` | PASS (fenêtre [0.099, 0.109], +3.7%) |\n", + "| `τ'` moyen | `2.20` | **2.221** | `187/91 ≈ 2.055` | INCONCLUSIVE (cf. §9) |\n", "| `p_c(L) → 1/2` | monotone | monotone (6 points) | monotone | conforme |\n", "\n", "**Verdict** : l'extension à L = 128, 256 permet de mesurer les exposants sur 6 points au lieu de 4. La convergence vers les valeurs asymptotiques est **en cours** — voir les cellules précédentes pour les valeurs mesurées effectives.\n", @@ -667,10 +694,10 @@ "id": "5c4e60c8", "metadata": { "papermill": { - "duration": 0.002701, - "end_time": "2026-10-09T11:52:13.262092+00:00", + "duration": 0.002728, + "end_time": "2026-10-09T13:45:56.291923+00:00", "exception": false, - "start_time": "2026-10-09T11:52:13.259391+00:00", + "start_time": "2026-10-09T13:45:56.289195+00:00", "status": "completed" }, "tags": [] @@ -678,7 +705,7 @@ "source": [ "## Limitations et perspectives\n", "\n", - "1. **L = 512 non nécessaire pour `β/ν`** : la cible corrigée `β/ν = 5/48 ≈ 0.104` est déjà atteinte à ~2% sur 6 points, donc l'asymptote stricte n'exige plus L = 512. L'extension ne vaut que pour `τ'`, encore biaisé par le bulk.\n", + "1. **L = 512 non couvert** : l'asymptote stricte (β/ν = 5/48 à 1% près) demanderait L ∈ {128, 256, 512}, soit ~30 s supplémentaires (L=512 × 32 seeds × 5 p ≈ 800 simulations × 1.2s/sim).\n", "2. **τ' encore biaisé par le bulk** : le fit de P(s) garde une composante non-asymptotique aux petites tailles, même à L=256. Un seuillage plus agressif (s_min ~ L/4) pourrait aider.\n", "3. **scipy.sparse non utilisé** : `networkx.connected_components` reste O(N) par simulation ; à L=1024 on basculerait sur `scipy.sparse.csgraph.connected_components` (~10× speed-up).\n", "\n", @@ -706,14 +733,14 @@ }, "papermill": { "default_parameters": {}, - "duration": 76.049919, - "end_time": "2026-10-09T11:52:13.722591+00:00", + "duration": 69.17706, + "end_time": "2026-10-09T13:45:56.753646+00:00", "environment_variables": {}, "exception": null, "input_path": "Percolation-03b-Critique-L128-L256.ipynb", - "output_path": "Percolation-03b-Critique-L128-L256.ipynb", + "output_path": "Percolation-03b-Critique-L128-L256_output.ipynb", "parameters": {}, - "start_time": "2026-10-09T11:50:57.672672+00:00", + "start_time": "2026-10-09T13:44:47.576586+00:00", "version": "2.7.0" } }, diff --git a/MyIA.AI.Notebooks/Probas/Applications/Percolation/README.md b/MyIA.AI.Notebooks/Probas/Applications/Percolation/README.md index 63e6aecde1..a45f27e621 100644 --- a/MyIA.AI.Notebooks/Probas/Applications/Percolation/README.md +++ b/MyIA.AI.Notebooks/Probas/Applications/Percolation/README.md @@ -14,7 +14,7 @@ critique** (p ≈ p_c). Simulation-first : on fait *voir* les trois régimes | [Percolation-01-Supercritique-Python](Percolation-01-Supercritique-Python.html) | 1 (Python) | Python 3 + `networkx` | Tore carré (degré 4, `p_c(bond, ℤ²) = 1/2`) et tore hexagonal (degré 3, `p_c ≈ 0.6527`) — trois régimes mesurés, géant du tore, vitesse de disparition `Φ(n) ~ √n` | | [Percolation-02-Lean](Percolation-02-Lean.html) | 2 (Lean 4) | Lean 4 + Mathlib (`percolation_lean`) | Compagnon exécutable du lake : configurations d'arêtes ouvertes, Harris–Kleitman fini, connexité croissante, composantes, frontière isopérimétrique avec profil calculé sur `C₃`/`C₄` | | [Percolation-03-Critique-Python](Percolation-03-Critique-Python.ipynb) | 3 (Python) | Python 3 + `networkx` | Physique du point critique : loi d'échelle finie `M(L, 1/2)/L² ~ L^{-β/ν}`, distribution de tailles `P(s) ~ s^{-τ'}`, convergence `p_c(L) → 1/2`. Sweep `L ∈ {8,16,32,64}` × `p ∈ {0.45,…,0.55}` × 32 seeds = 640 simulations `networkx.connected_components` canonique | -| [Percolation-03b-Critique-L128-L256](Percolation-03b-Critique-L128-L256.ipynb) | 3b (Python) | Python 3 + `networkx` | Extension du carnet 03 aux tailles `L ∈ {128, 256}` pour la convergence asymptotique. Fit log-log sur 6 points (L = 8, 16, 32, 64, 128, 256) : β/ν = 0.1065, τ' = 2.188, p_c(L) → 1/2 monotone. Sweep `L ∈ {128, 256}` × `p ∈ {0.45,…,0.55}` × 32 seeds = 320 simulations ~48 s | +| [Percolation-03b-Critique-L128-L256](Percolation-03b-Critique-L128-L256.ipynb) | 3b (Python) | Python 3 + `networkx` | Extension du carnet 03 aux tailles `L ∈ {128, 256}` pour la convergence asymptotique. Fit log-log sur 6 points (L = 8, 16, 32, 64, 128, 256) : β/ν = 0.1081, τ' = 2.221, p_c(L) → 1/2 monotone. Sweep `L ∈ {128, 256}` × `p ∈ {0.45,…,0.55}` × 32 seeds = 320 simulations ~48 s | | [Percolation-03c-Critique-L512](Percolation-03c-Critique-L512.ipynb) | 3c (Python) | Python 3 + `networkx` | Extension du carnet 03b à L = 512 pour la convergence asymptotique. Fit log-log sur 7 points (L = 8, 16, 32, 64, 128, 256, 512) : β/ν = 0.1062 (cible 0.1042, R²=0.977, std_err=0.007 — convergence asymptotique bloquée aux corrections d'échelle finie), p_c(L) → 1/2 monotone (écart 0.0013 à L=512). Sweep `L = 512` × `p ∈ {0.45,…,0.55}` × 32 seeds = 160 simulations ~186 s | | [Percolation-04-Sharpness-Python](Percolation-04-Sharpness-Python.ipynb) | 4 (Python) | Python 3 + `networkx` | Palier 4 du plan #19494 : mesure de la queue supérieure `Ψ(n) = P(\|C_o\| ≥ n)` sur grille `L ∈ {64, 128, 256, 512}` × `p ∈ {0.50, …, 0.70}` × 32 seeds = 1024 simulations ~170 s. Comparaison au théorème de *supercritical sharpness* (Diskin-Easo-Radhakrishnan-Sudakov-Tassion, arXiv:2603.03257 §3.0). **Verdict** : palier non mesurable aux seuils `n ∈ {1, 2, …, 128}` à L ≤ 512 — le fit log-y de `Ψ(n)` est dominé par la transition initiale (Psi(1)=1 → Psi(2)~0.7) et non par la décroissance exponentielle sharpness (qui exigerait `n ~ médiane du géant`). L'alpha mesuré **décroît** avec p, opposé à la cible `(p - 1/2)^{d-1} = p - 1/2` | diff --git a/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_beta_nu_fit.png b/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_beta_nu_fit.png index f07a1bbaa6..ce9c92c4d5 100644 Binary files a/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_beta_nu_fit.png and b/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_beta_nu_fit.png differ diff --git a/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_pc_convergence.png b/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_pc_convergence.png index fb6e2f86fb..45c8b2e4e0 100644 Binary files a/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_pc_convergence.png and b/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_pc_convergence.png differ diff --git a/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_tau_prime.png b/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_tau_prime.png index f133670db1..01d437da7b 100644 Binary files a/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_tau_prime.png and b/MyIA.AI.Notebooks/Probas/Applications/Percolation/percolation_03b_tau_prime.png differ diff --git a/_quarto.yml b/_quarto.yml index 5cedc15138..55184dae9c 100644 --- a/_quarto.yml +++ b/_quarto.yml @@ -234,6 +234,8 @@ project: - "MyIA.AI.Notebooks/ML/README.md" - "MyIA.AI.Notebooks/NLP/README.md" - "MyIA.AI.Notebooks/Probas/Applications/Percolation/README.md" + - "MyIA.AI.Notebooks/Probas/Applications/Percolation/README.md" + - "MyIA.AI.Notebooks/Probas/Applications/Percolation/README.md" - "MyIA.AI.Notebooks/Probas/Applications/README.md" - "MyIA.AI.Notebooks/Probas/DecisionTheory/Actuariat/README.md" - "MyIA.AI.Notebooks/Probas/DecisionTheory/Causal-Bridges/README.md" diff --git a/docs/README.md b/docs/README.md index d4581fefd9..55f9087ff8 100644 --- a/docs/README.md +++ b/docs/README.md @@ -282,6 +282,8 @@ Documents de recherche durables fondant les EPICs de R&D (grade A-recherche). Di | [research/cartier-miller-p1-pilot.md](research/cartier-miller-p1-pilot.md) | Lecture ligne-par-ligne de pilot.py (P1 elliptic curve Cartier-Miller, EPIC #19452) — orchestration, hash, per-call math, validation cross-prime 7 premiers, garde flush-après-chaque-prime. Suite PRs #19487 / #19488. | | [research/cartier-miller-p1-point-count.md](research/cartier-miller-p1-point-count.md) | Lecture ligne-par-ligne de `point_count.py` (P1 Schoof + BSGS, EPIC #19452) — stdlib only, 0 import, 9 composants documentés. Suite des PRs #19487 (P0 cartography), #19488 (P1 elliptic_prefix), #19493 (P1 pilot). | | [research/cartier-miller-p1-integration.md](research/cartier-miller-p1-integration.md) | Cross-check 4 backends de la P1 Cartier-Miller (EPIC #19452) : elliptic_prefix + pilot + point_count + C++ pseudocode, confrontation littérale aux `output.json` du pin reproductible `37a9b72`. P1+ à venir (P2 Lean Mathlib, P3+ multi-cycle) | +| [research/percolation-03-critique-results.md](research/percolation-03-critique-results.md) | Résultats palier 3 (#19494, PR #19537) — physique du point critique de la percolation 2D (β = 5/36, ν = 4/3, soit β/ν = 5/48 — Kesten 1980 ; τ' = 187/91 Stauffer, p_c(L) → 1/2). 580 simulations, 4 s wall-clock, instrument `networkx`. Verdict honnête : β/ν=0.102 vs cible 5/48 ≈ 0.1042 (échelle finie), p_c(L) monotone PASS | +| [research/percolation-03b-critique-results.md](research/percolation-03b-critique-results.md) | Résultats extension palier 3+ (#19494, PR #19548) — sweep L ∈ {128, 256} × 32 seeds × 5 p (320 sims, 48 s) pour vérifier la convergence asymptotique. Verdict global : convergence en cours, asymptote non atteinte — L=512 nécessaire (scipy.sparse) | | [research/slide-agents-marptoslidev-scoping.md](research/slide-agents-marptoslidev-scoping.md) | Scoping Marp→Slidev pour les agents de slides (c.1110, #19578) — inventaire firsthand (12 Marp coexistants avec 18 Slidev, configs et outils legacy), diagnostic des fronts communs (format Marp, PNG rendering mort-né, sk-agent vision périmé), 4 voies arbitrées (réécrire/fusionner/retirer/legacy), recommandation voie 1 (réécrire pour Slidev, 3 raisons mesurées). Critère de fermeture documenté ; arbitrage user ou coordinateur requis pour passer à la phase 2 | | [research/percolation-03-critique-results.md](research/percolation-03-critique-results.md) | Résultats d'exécution du palier 03 critique Percolation (#19494, c.1104) — mesure des exposants critiques (`β/ν`, `τ'`, `p_c(L) → 1/2`) par sweep `L × p × seeds` sur `networkx`. Verdict : tendances conformes mais convergence asymptotique non atteinte, corrections d'échelle finie dominantes. | | [research/percolation-03b-critique-results.md](research/percolation-03b-critique-results.md) | Extension du palier 03 aux tailles `L ∈ {128, 256}` (#19494, c.1105) — vérifie la convergence asymptotique `β/ν → 5/48` et `τ' → 187/91`. Verdict : `β/ν` compatible avec la cible corrigée dès 6 points, `τ'` encore biaisé par le bulk. | diff --git a/docs/research/percolation-03-critique-results.md b/docs/research/percolation-03-critique-results.md index a08d39df5d..940d2343c6 100644 --- a/docs/research/percolation-03-critique-results.md +++ b/docs/research/percolation-03-critique-results.md @@ -1,150 +1,161 @@ -# Percolation-03 critique — résultats d'exécution (palier 3, c.1104) - -> **Suite directe de [#19494](https://github.com/jsboige/CoursIA/issues/19494)** (plan de croissance Percolation 03 critique / 04 sharpness ×2) et du scoping memo §8 (`percolation-03-critique-scoping.md`, c.1103, PR #19531) — exécution effective au pin `70ece81334` (main HEAD c.1104). - -## Sections (8) - -1. **Cible** — physique du point critique (β/ν, τ', p_c(L) → 1/2) -2. **Architecture pipeline** — sweep `L × p × seeds`, instrument `networkx` -3. **Mesures effectuées** — 580 runs, ~4 s wall-clock mono-thread -5. **Verdict β/ν** — mesure vs cible asymptotique -6. **Verdict τ'** — distribution de tailles -7. **Verdict p_c(L)** — convergence monotone vers 1/2 -8. **Limitations et extensions** — corrections d'échelle finie, extensions L ∈ {128, 256} - ---- - -## 1. Cible - -Mesurer la **physique du point critique** de la percolation 2D — exposants -`β/ν = 5/48` (Kesten 1980, exact), `τ' = 187/91` (Stauffer computer-exp), -convergence `p_c(L) → 1/2` quand `L → ∞`. - -**Ce qui distingue 03 de 01** : 01 mesure le *géant* en régime `p > p_c` -(where il est stable). 03 mesure le *géant* en régime `p ≈ p_c` (where il -**fluctue**) et la **distribution de tailles** des composantes connexes. - -## 3. Architecture pipeline - -- **L ∈ {8, 16, 32, 64}** (4 valeurs) -- **p ∈ {0.45, 0.48, 0.50, 0.52, 0.55}** (5 valeurs) -- **seeds = 29 par cellule `(L, p)`** : 5 canoniques (`{0,1,7,42,99}`) + 24 auxiliaires `range(100, 124)` (le scoping memo disait 32 seeds ; correction c.1104 : la liste effective est 29) -- **Total : 4 × 5 × 29 = 580 simulations** (vs 640 visées) -- `networkx.grid_2d_graph(L, L, periodic=True)` + `networkx.connected_components` - -## 4. Mesures effectuées - -- **Wall-clock total** : 3.8 s (640-budget vs 580 effectives) — soit ~0.007 s/sim en moyenne -- **L=64 dominant** : ~17 ms/sim (vs L=8 ~0.3 ms/sim) -- aucune erreur, aucune cellule `NotImplementedError` (C.1 conforme) -- Outputs présents et cohérents (C.2 conforme) - -**Tableau des mesures `M(L, p) / L²` :** - -| L | p=0.45 | p=0.48 | p=0.50 | p=0.52 | p=0.55 | -|---|--------|--------|--------|--------|--------| -| 8 | 0.642 | 0.753 | 0.789 | 0.848 | 0.902 | -| 16 | 0.493 | 0.661 | 0.732 | 0.802 | 0.872 | -| 32 | 0.299 | 0.549 | 0.710 | 0.814 | 0.895 | -| 64 | 0.118 | 0.393 | 0.629 | 0.793 | 0.881 | - -À `p = 0.50` (point critique), `M/L²` décroît lentement avec `L` (0.789 → -0.732 → 0.710 → 0.629) — c'est la signature de la criticalité. - -## 5. Verdict β/ν - -**Régression log-log** sur `M(L, 1/2) / L²` vs `L` : -- `β/ν mesuré = 0.102` (exact : 5/48 ≈ 0.104) -- `R² = 0.946` — **INCONCLUSIVE** (R² < 0.95) -- **Verdict** : `INCONCLUSIVE` — slope trop faible (~26% sous la valeur - asymptotique), et le fit n'est pas statistiquement conclusif sur 4 points. - -**Cause** : sur `L ∈ {8, 16, 32, 64}`, les corrections d'échelle finie -dominent encore. La loi `M(L, 1/2) / L² ~ L^{-β/ν}` n'est asymptotique -que pour `L ≫ ξ` (longueur de corrélation). À `p = 1/2`, `ξ = ∞`, donc -l'asymptote n'est jamais vraiment atteinte — il faut `L` arbitrairement -grand pour approcher `β/ν = 5/48`. - -## 6. Verdict τ' - -**Distribution de tailles** `P(s)` au point critique, fit log-log sur le -bulk entre `s_min` et `s_max` pour chaque `L` : - -| L | τ' mesuré | R² | Verdict | -|---|-----------|-----|---------| -| 8 | 2.494 | **0.903** | **INCONCLUSIVE** (R² < 0.95, bulk insuffisant) | -| 16 | 2.021 | 0.996 | PASS | -| 32 | 2.080 | 0.978 | PASS | -| 64 | 2.193 | 0.996 | PASS | - -- `τ' moyen (sur L ∈ {8, 16, 32, 64}) = 2.197` -- `τ' moyen hors L=8 (INCONCLUSIVE) = 2.098` — **écart +2.1% à la cible** -- Exact : `187/91 ≈ 2.055` -- **Verdict global** : `PARTIEL` — 3/4 PASS, 1 INCONCLUSIVE (L=8) - -**Cause du verdict partiel** : le bulk à `L = 8` (taille totale 64) -contient trop de composantes triviales (`s = 1`, `s = 2`) pour qu'un -fit log-log soit statistiquement concluant (R² = 0.903). Sur `L ∈ {16, 32, -64}`, le bulk est suffisamment grand pour des fits R² > 0.97, et la -**moyenne conditionnelle** donne `τ' = 2.098`, écart +2.1% à l'asymptote. - -**Instrumentation c.1133** : le R² par L a été ajouté dans la cellule -de fit (commit diagnostic). L'INCONCLUSIVE sur L=8 n'est pas un bug -de l'estimateur (cf. analyse détaillée dans -`docs/research/percolation-03b-critique-results.md` §9), mais une -limite physique du bulk à petit L. - -## 7. Verdict p_c(L) → 1/2 - -**Interpolation linéaire** de `M(L, p) / L² = 1/2` : - -| L | p_c(L) mesuré | -|---|---------------| -| 8 | < 0.45 (giant fraction > 0.5 même à p=0.45 — hors plage) | -| 16 | 0.4513 | -| 32 | 0.4741 | -| 64 | 0.4890 | - -**Convergence monotone** `0.4513 → 0.4741 → 0.4890 → 1/2` ✓ - -C'est la **preuve directe** de la loi d'échelle finie : `p_c(L) = 1/2 + c · L^{-1/ν}` -avec `1/ν = 3/4`. La convergence est conforme à la théorie. - -## 8. Limitations et extensions - -**Verdict global (post c.1133)** : - -| Mesure | Valeur | Cible | R² | Verdict | -|--------|--------|-------|---|---------| -| `β/ν` (4 L, log-log) | 0.102 | 5/48 ≈ 0.104 | 0.946 | **CONFORME** | -| `τ'` (4 L, moyenne brute) | 2.197 | 2.055 | — | PARTIEL (3/4 PASS) | -| `τ'` (4 L, sans L=8) | 2.098 | 2.055 | ≥ 0.978 | PASS (écart 2.1%) | -| `p_c(L)` convergence | 0.4513→0.4890 | → 1/2 monotone | — | CONFORME | - -**Cause** : corrections d'échelle finie dominent à `L ≤ 64`. La -percolation finie sur tore `T_n` ne reproduit l'asymptotique que pour -`L ≫ ξ` — et à `p_c(ℤ²)`, `ξ = ∞`. - -**Cause** : corrections d'échelle finie dominent à `L ≤ 64`. La -percolation finie sur tore `T_n` ne reproduit l'asymptotique que pour -`L ≫ ξ` — et à `p_c(ℤ²)`, `ξ = ∞`. - -**Extensions possibles** (à arbitrer pour un carnet ultérieur) : - -1. **Étendre le sweep à `L ∈ {128, 256, 512}`** — 5× la plage actuelle, - au prix de ~3 min supplémentaires par `(L, p)` × 32 seeds × 5 p. - Permettrait de mesurer `β/ν ∈ [0.09, 0.12]` (cible 0.104 ± 0.01). -2. **Augmenter le nombre de seeds** à 64-256 par `(L, p)` pour - lisser les fluctuations à petit `L` (actuellement ±30% à L=8). -3. **Migrer vers `scipy.sparse.csgraph.connected_components`** pour - ~10× speed-up et permettre L=1024 ou plus. - -**Convention honnête** : les valeurs rapportées ici sont les **mesures -réelles** du sweep actuel, pas des ajustements cherry-picking. Un -lecteur qui augmente `L` jusqu'à 512 doit voir `β/ν` converger vers -0.104. Cette convergence est l'objet de la loi d'échelle finie, pas -une coïncidence. - ---- - +# Percolation-03 critique — résultats d'exécution (palier 3, c.1104) + +> **Suite directe de [#19494](https://github.com/jsboige/CoursIA/issues/19494)** (plan de croissance Percolation 03 critique / 04 sharpness ×2) et du scoping memo §8 (`percolation-03-critique-scoping.md`, c.1103, PR #19531) — exécution effective au pin `70ece81334` (main HEAD c.1104). + +## Sections (7) + +1. **Cible** — physique du point critique (β/ν, τ', p_c(L) → 1/2) +2. **Architecture pipeline** — sweep `L × p × seeds`, instrument `networkx` +3. **Mesures effectuées** — 580 runs, ~4 s wall-clock mono-thread +4. **Verdict β/ν** — mesure vs cible asymptotique +5. **Verdict τ'** — distribution de tailles +6. **Verdict p_c(L)** — convergence monotone vers 1/2 +7. **Limitations et extensions** — corrections d'échelle finie, extensions L ∈ {128, 256} + +--- + +## 1. Cible + +Mesurer la **physique du point critique** de la percolation 2D — exposants +β/ν = 5/48 (Kesten 1980, exact), `τ' = 187/91` (Stauffer computer-exp), +convergence `p_c(L) → 1/2` quand `L → ∞`. + +**Ce qui distingue 03 de 01** : 01 mesure le *géant* en régime `p > p_c` +(where il est stable). 03 mesure le *géant* en régime `p ≈ p_c` (where il +**fluctue**) et la **distribution de tailles** des composantes connexes. + +## 2. Architecture pipeline + +- **L ∈ {8, 16, 32, 64}** (4 valeurs) +- **p ∈ {0.45, 0.48, 0.50, 0.52, 0.55}** (5 valeurs) +- **seeds = 32 par cellule `(L, p)`** : 5 canoniques (`{0,1,7,42,99}`) + 27 auxiliaires `range(100, 127)` (uniformisé c.1223 — le scoping memo disait 32, la passe c.1104 tournait à 29, la re-exécution 2026-10-09 restaure 32) +- **Total : 4 × 5 × 32 = 640 simulations** +- `networkx.grid_2d_graph(L, L, periodic=True)` + `networkx.connected_components` + +## 3. Mesures effectuées + +- **Wall-clock total** : 6.2 s (640 simulations, re-exécution 2026-10-09) — soit ~0.01 s/sim en moyenne +- **L=64 dominant** : ~17 ms/sim (vs L=8 ~0.3 ms/sim) +- aucune erreur, aucune cellule `NotImplementedError` (C.1 conforme) +- Outputs présents et cohérents (C.2 conforme) + +**Tableau des mesures `M(L, p) / L²` (32 seeds, 2026-10-09) :** + +| L | p=0.45 | p=0.48 | p=0.50 | p=0.52 | p=0.55 | +|---|--------|--------|--------|--------|--------| +| 8 | 0.6528 | 0.7544 | 0.7939 | 0.8467 | 0.9043 | +| 16 | 0.4845 | 0.6575 | 0.7347 | 0.8065 | 0.8732 | +| 32 | 0.3016 | 0.5524 | 0.7158 | 0.8151 | 0.8942 | +| 64 | 0.1196 | 0.3984 | 0.6363 | 0.7973 | 0.8821 | + +À `p = 0.50` (point critique), `M/L²` décroît lentement avec `L` (0.7939 → +0.7347 → 0.7158 → 0.6363) — c'est la signature de la criticalité. + +## 4. Verdict β/ν + +**Régression log-log** sur `M(L, 1/2) / L²` vs `L` : +- `β/ν mesuré = 0.0995` (exact: 5/48 ≈ 0.1042) — écart −4.5% à la cible +- `R² = 0.9436` — **INCONCLUSIVE** (R² < 0.95) +- **Fenêtre acceptance** `β/ν ∈ [0.099, 0.109]` (±5% autour de 5/48) : **PASS** + — la valeur mesurée tombe dans la fenêtre, mais le fit n'atteint pas le + seuil R² ; le verdict global reste `INCONCLUSIVE`. +- **Verdict** : `INCONCLUSIVE` — slope à −4.5% de la valeur asymptotique, + et le fit n'est pas statistiquement concluant sur 4 points. + +**Cause** : sur `L ∈ {8, 16, 32, 64}`, les corrections d'échelle finie +dominent encore. La loi `M(L, 1/2) / L² ~ L^{-β/ν}` n'est asymptotique +que pour `L ≫ ξ` (longueur de corrélation). À `p = 1/2`, `ξ = ∞`, donc +l'asymptote n'est jamais vraiment atteinte — il faut `L` arbitrairement +grand pour approcher β/ν = 5/48. + +## 5. Verdict τ' + +**Distribution de tailles** `P(s)` au point critique, fit log-log sur le +bulk entre `s_min` et `s_max` pour chaque `L` : + +| L | τ' mesuré | R² | Verdict | +|---|-----------|-----|---------| +| 8 | 2.570 | **0.915** | **INCONCLUSIVE** (R² < 0.95, bulk insuffisant) | +| 16 | 2.092 | 0.995 | PASS | +| 32 | 2.107 | 0.974 | PASS | +| 64 | 2.211 | 0.996 | PASS | + +- `τ' moyen (sur L ∈ {8, 16, 32, 64}) = 2.245` +- `τ' moyen hors L=8 (INCONCLUSIVE) = 2.137` — **écart +4.0% à la cible** +- Exact : `187/91 ≈ 2.055` +- **Verdict global** : `PARTIEL` — 3/4 PASS, 1 INCONCLUSIVE (L=8) + +**Cause du verdict partiel** : le bulk à `L = 8` (taille totale 64) +contient trop de composantes triviales (`s = 1`, `s = 2`) pour qu'un +fit log-log soit statistiquement concluant (R² = 0.915). Sur `L ∈ {16, 32, +64}`, le bulk est suffisamment grand pour des fits R² > 0.97, et la +**moyenne conditionnelle** donne `τ' = 2.137`, écart +4.0% à l'asymptote. + +**Instrumentation c.1133** : le R² par L a été ajouté dans la cellule +de fit (commit diagnostic). L'INCONCLUSIVE sur L=8 n'est pas un bug +de l'estimateur (cf. analyse détaillée dans +`docs/research/percolation-03b-critique-results.md` §9), mais une +limite physique du bulk à petit L. + +## 6. Verdict p_c(L) → 1/2 + +**Interpolation linéaire** de `M(L, p) / L² = 1/2` : + +| L | p_c(L) mesuré | +|---|---------------| +| 8 | nan (M/L² > 0.5 sur toute la plage — hors plage) | +| 16 | 0.4527 | +| 32 | 0.4737 | +| 64 | 0.4885 | + +**Convergence monotone** `0.4527 → 0.4737 → 0.4885 → 1/2` ✓ + +C'est une **illustration numérique** — non une preuve directe — de la loi d'échelle +finie `p_c(L) = 1/2 + c · L^{-1/ν}` (théorie : `1/ν = 3/4`) : la convergence observée +est monotone, et le fit ci-dessous mesure l'écart quantitatif à l'exposant. + +**Fit de l'exposant** (correctif c.1223 — le fit log initial prenait +`log(déviation)` avec `déviation < 0`, d'où NaN + RuntimeWarning ; il +ajuste désormais `log|p_c(L) − 1/2|`) : +- `1/ν mesuré = 1.0228` (exact : 3/4 = 0.75) — **surestimé de +36%** +- `R² = 0.9905` +- **Lecture honnête** : sur `L ∈ {16, 32, 64}` avec une grille `p` à 5 + points interpolée linéairement, l'exposant effectif n'est pas résolu — + la **monotonicité** de la convergence est le signal conforme ; la valeur + de `1/ν` attend une grille `p` plus fine autour de 0.5 pour être mesurable. + +## 7. Limitations et extensions + +**Verdict global (post c.1133)** : + +| Mesure | Valeur | Cible | R² | Verdict | +|--------|--------|-------|---|---------| +| `β/ν` (4 L, log-log) | 0.0995 | 5/48 ≈ 0.1042 | 0.9436 | **INCONCLUSIVE** (fenêtre [0.099, 0.109] PASS, R² sous seuil) | +| `τ'` (4 L, moyenne brute) | 2.245 | 2.055 | — | PARTIEL (3/4 PASS) | +| `τ'` (4 L, sans L=8) | 2.137 | 2.055 | ≥ 0.974 | PASS (écart 4.0%) | +| `p_c(L)` convergence | 0.4527→0.4885 | → 1/2 monotone | — | CONFORME | +| `1/ν` (fit log \|p_c−1/2\|) | 1.0228 | 3/4 | 0.9905 | surestimé (+36%) — non résolu à cette grille p | + +**Cause** : corrections d'échelle finie dominent à `L ≤ 64`. La +percolation finie sur tore `T_n` ne reproduit l'asymptotique que pour +`L ≫ ξ` — et à `p_c(ℤ²)`, `ξ = ∞`. + +**Extensions possibles** (à arbitrer pour un carnet ultérieur) : + +1. **Étendre le sweep à `L ∈ {128, 256, 512}`** — 5× la plage actuelle, + au prix de ~3 min supplémentaires par `(L, p)` × 32 seeds × 5 p. + Permettrait de mesurer `β/ν ∈ [0.09, 0.12]` (cible `5/48 ≈ 0.1042` ± 0.01). +2. **Augmenter le nombre de seeds** à 64-256 par `(L, p)` pour + lisser les fluctuations à petit `L` (actuellement ±30% à L=8). +3. **Migrer vers `scipy.sparse.csgraph.connected_components`** pour + ~10× speed-up et permettre L=1024 ou plus. + +**Convention honnête** : les valeurs rapportées ici sont les **mesures +réelles** du sweep actuel, pas des ajustements cherry-picking. Un +lecteur qui augmente `L` jusqu'à 512 doit voir `β/ν` converger vers +0.1042. Cette convergence est l'objet de la loi d'échelle finie, pas +une coïncidence. + +--- + **Cycle c.1104, lane `myia-po-2023:CoursIA-2`** : exécution effective livrée. PR à publier. \ No newline at end of file diff --git a/docs/research/percolation-03b-critique-results.md b/docs/research/percolation-03b-critique-results.md index 3e8aeef227..ac28b8d6d6 100644 --- a/docs/research/percolation-03b-critique-results.md +++ b/docs/research/percolation-03b-critique-results.md @@ -1,130 +1,213 @@ -# Percolation-03b critique — résultats d'extension (palier 3+, c.1105) - -> **Suite directe de [#19494](https://github.com/jsboige/CoursIA/issues/19494)** (plan de croissance Percolation 03 critique / 04 sharpness ×2), du scoping memo §8 ([PR #19531](https://github.com/jsboige/CoursIA/pull/19531), c.1103) et de l'exécution c.1104 ([PR #19537](https://github.com/jsboige/CoursIA/pull/19537)). Ce carnet étend le sweep à `L ∈ {128, 256}` pour vérifier la **convergence asymptotique** des exposants critiques. - -## Sections (8) - -1. **Cible** — convergence β/ν → 5/48 et τ' → 187/91 quand L → ∞ -2. **Architecture pipeline** — sweep L ∈ {128, 256} × 32 seeds × 5 p -3. **Mesures effectuées** — 320 nouvelles simulations, ~48 s wall-clock -4. **Verdict β/ν (6 L)** — log-log fit sur 6 points -5. **Verdict τ' (6 L)** — distribution de tailles sur 6 L -6. **Verdict p_c(L) (5 L)** — convergence monotone vers 1/2 -7. **Verdict global** — convergence en cours, asymptote non atteinte -8. **Limitations et perspectives** — L = 512 nécessaire, scipy.sparse - ---- - -## 1. Cible - -Vérifier que les **corrections d'échelle finie** qui faisaient dévier -`β/ν = 0.102` (c.1104, 4 L) de la valeur asymptotique `5/48 ≈ 0.104` -s'atténuent quand on monte à `L = 128, 256`. - -**Hypothèse a priori** : sur 6 points au lieu de 4, le fit log-log devrait -mieux capturer la pente asymptotique, et `β/ν` devrait se rapprocher de -0.104 (l'écart résiduel relève des corrections finies). - -## 2. Architecture pipeline - -- **L ∈ {128, 256}** (2 nouvelles valeurs, extension du sweep c.1104) -- **p ∈ {0.45, 0.48, 0.50, 0.52, 0.55}** (5 valeurs) -- **seeds = 32 par cellule `(L, p)`** : 5 canoniques `{0, 1, 7, 42, 99}` + 27 auxiliaires `range(100, 127)` -- **Total nouvelles simulations** : 2 × 5 × 32 = **320 simulations** (c.1104 en avait 580 sur L ∈ {8, 16, 32, 64} ; le total combiné est 4 × 5 × 29 + 2 × 5 × 32 = 900 simulations, mais les L=8,16,32,64 sont réutilisés du c.1104 par citation dans le carnet 03b — pas de re-exécution) -- `networkx.grid_2d_graph(L, L, periodic=True)` + `networkx.connected_components` - -## 3. Mesures effectuées - -**Wall-clock total (c.1105)** : 47.7 s pour 320 simulations -- L = 128 : ~1.8 s / `(L, p)` × 32 seeds (~56 ms / simulation) -- L = 256 : ~7.8 s / `(L, p)` × 32 seeds (~244 ms / simulation) - -**Tableau M(L, p) / L² (extension L = 128, 256)** : - -| L | p=0.45 | p=0.48 | p=0.50 | p=0.52 | p=0.55 | -|---|--------|--------|--------|--------|--------| -| 128 | 0.0513 | 0.2201 | 0.6149 | 0.8003 | 0.8881 | -| 256 | 0.0177 | 0.0916 | 0.5352 | 0.7951 | 0.8884 | - -À `p = 0.50` (point critique), `M/L²` à L = 256 (0.5352) est **plus faible** qu'à L = 128 (0.6149) et L = 64 (0.6290) — la décroissance algébrique continue. - -**Tableau M(L, 0.50) / L² combiné c.1104 + c.1105 (6 L)** : - -| L | M/L² | Source | -|---|------|--------| -| 8 | 0.7890 | c.1104 (29 seeds) | -| 16 | 0.7320 | c.1104 (29 seeds) | -| 32 | 0.7100 | c.1104 (29 seeds) | -| 64 | 0.6290 | c.1104 (29 seeds) | -| 128 | 0.6149 | c.1105 (32 seeds) | -| 256 | 0.5352 | c.1105 (32 seeds) | - -## 4. Verdict β/ν (6 L) - -**Régression log-log** sur `M(L, 1/2) / L²` vs `L` (6 points) : -- `β/ν mesuré = 0.1065` (exact : 5/48 ≈ 0.1042) -- `R² = 0.9635` -- `std_err = 0.0104` -- **Verdict** : `EN COURS` — la valeur s'est **légèrement améliorée** (0.102 → 0.1065) mais reste ~23% sous la valeur asymptotique. - -**Cause** : les corrections d'échelle finie dominent encore à L ≤ 256. La convergence est **lente** : passer de 4 à 6 points n'a pas suffi à atteindre l'asymptote. - -**Note méthodologique** : l'écart-type du fit (0.0104) est **supérieur** à l'écart à la cible corrigée (0.1042 - 0.1065 = -0.0023) — le fit est **localement bon** (R² = 0.964) et **compatible avec la cible** aux erreurs près. - -## 5. Verdict τ' (6 L) - -**Distribution de tailles** `P(s)` au point critique, fit log-log sur le bulk pour chaque L : - -| L | τ' mesuré | Source | -|---|-----------|--------| -| 8 | 2.25 | c.1104 (approximation 4 L) | -| 16 | 2.20 | c.1104 | -| 32 | 2.18 | c.1104 | -| 64 | 2.15 | c.1104 | -| 128 | 2.163 | c.1105 (fit direct) | -| 256 | 2.183 | c.1105 (fit direct) | - -- `τ' moyen (6 L) = 2.188` (exact : 187/91 ≈ 2.055) -- **Verdict** : `EN COURS` — `τ' = 2.188` reste ~7% au-dessus de la valeur asymptotique. Le **bulk** à `L = 8, 16` contient beaucoup de composantes triviales (`s = 1, 2`) qui tirent la moyenne vers le haut. - -## 6. Verdict p_c(L) (5 L) - -**Interpolation linéaire** de `M(L, p) / L² = 1/2` : - -| L | p_c(L) mesuré | -|---|---------------| -| 8 | hors plage (giant > 0.5 partout) | -| 16 | 0.4512 | -| 32 | 0.4741 | -| 64 | 0.4891 | -| 128 | 0.4942 | -| 256 | 0.4984 | - -**Convergence monotone** `0.4512 → 0.4741 → 0.4891 → 0.4942 → 0.4984 → 1/2` ✓ - -C'est la **preuve directe** de la loi d'échelle finie : `p_c(L) = 1/2 + c · L^{-1/ν}` avec `1/ν = 3/4`. La convergence est conforme à la théorie, et l'écart à `1/2` à `L = 256` est de `0.0016` (cible : 0 à `L = ∞`). - -## 7. Verdict global - -**β/ν = 0.1065** : **cible corrigée atteinte** (cible 0.1042, R² = 0.964, std_err = 0.010). L'écart à la cible (0.0023) est très inférieur à l'écart-type du fit : l'extension à L = 128, 256 place la mesure dans la barre de la valeur asymptotique. - -**τ' = 2.188** : convergence **en cours** (cible 2.055, écart ~7%). Le bulk aux petits L tire la moyenne vers le haut. - -**p_c(L) → 1/2** : convergence **conforme** (5 L, monotone, écart 0.0016 à L = 256). - -**Hypothèse confirmée partiellement** : oui, l'ajout de L = 128, 256 rapproche les exposants des valeurs asymptotiques (β/ν 0.102 → 0.1065), mais la convergence est **lente** et asymptotique. La cible corrigée `β/ν = 0.104` est en revanche déjà atteinte à ~2 % dès 6 points. - -**Convention honnête** : les valeurs rapportées sont les **mesures directes** du sweep 6 L, sans ajustement cherry-picking. La convergence vers l'asymptote est l'objet de la loi d'échelle finie, pas une coïncidence. - -## 8. Limitations et perspectives - -1. **L = 512 non nécessaire pour `β/ν`** : la cible corrigée (`β/ν = 5/48 ≈ 0.104`) est déjà atteinte à ~2 % sur 6 points, donc l'asymptote stricte n'exige plus L = 512. L'extension ne vaut plus que pour `τ'`, encore biaisé par le bulk (~2 min pour L=512 × 32 seeds × 5 p). -2. **τ' biaisé par le bulk** : le fit de P(s) garde une composante non-asymptotique aux petites tailles. Un seuillage plus agressif (`s_min ~ L/4` au lieu du percentile 5) pourrait aider, mais reste à arbitrer. -3. **scipy.sparse non utilisé** : `networkx.connected_components` reste O(N) par simulation ; à L = 1024 on basculerait sur `scipy.sparse.csgraph.connected_components` (~10× speed-up). -4. **Seeds inhomogènes** : c.1104 utilisait 29 seeds, c.1105 en utilise 32. L'écart est faible mais pollue légèrement la combinaison. Une ré-exécution uniforme à 32 seeds pour L ∈ {8, 16, 32, 64} serait plus propre, mais coûte ~2 min. - -**Prochaine étape** : si on veut pousser la convergence de β/ν à 1% près, **L = 512 obligatoire** (~2 min). Sinon, passer au **palier 4 sharpness** (Percolation-04-Sharpness-Python) prévu par le plan de croissance #19494 — la convergence p_c(L) → 1/2 est déjà conforme, et c'est sur la **vitesse de disparition** du géant en régime supercritique que le théorème de Diskin-Easo-Radhakrishnan-Sudakov-Tassion (arXiv:2603.03257 §3.0) attend ses mesures. - ---- - -**Cycle c.1105, lane `myia-po-2023:CoursIA-2`** : extension livrée. PR à publier. +# Percolation-03b critique — résultats d'extension (palier 3+, c.1105) + +> **Suite directe de [#19494](https://github.com/jsboige/CoursIA/issues/19494)** (plan de croissance Percolation 03 critique / 04 sharpness ×2), du scoping memo §8 ([PR #19531](https://github.com/jsboige/CoursIA/pull/19531), c.1103) et de l'exécution c.1104 ([PR #19537](https://github.com/jsboige/CoursIA/pull/19537)). Ce carnet étend le sweep à `L ∈ {128, 256}` pour vérifier la **convergence asymptotique** des exposants critiques. + +## Sections (9) + +1. **Cible** — convergence β/ν → 5/48 et τ' → 187/91 quand L → ∞ +2. **Architecture pipeline** — sweep L ∈ {128, 256} × 32 seeds × 5 p +3. **Mesures effectuées** — 320 nouvelles simulations, ~48 s wall-clock +4. **Verdict β/ν (6 L)** — log-log fit sur 6 points +5. **Verdict τ' (6 L)** — distribution de tailles sur 6 L +6. **Verdict p_c(L) (5 L)** — convergence monotone vers 1/2 +7. **Verdict global** — convergence en cours, asymptote non atteinte +8. **Limitations et perspectives** — L = 512 nécessaire, scipy.sparse +9. **Diagnostic estimateur τ'** — c.1133 + c.1136, suite adjointe po-2025 + +--- + +## 1. Cible + +Vérifier que les **corrections d'échelle finie** qui faisaient dévier +`β/ν = 0.102` (c.1104, 4 L) de la valeur asymptotique `5/48 ≈ 0.1042` +s'atténuent quand on monte à `L = 128, 256`. + +**Hypothèse a priori** : sur 6 points au lieu de 4, le fit log-log devrait +mieux capturer la pente asymptotique, et `β/ν` devrait se rapprocher de +`5/48 ≈ 0.1042` (l'écart résiduel relevant des corrections d'échelle finie). + +## 2. Architecture pipeline + +- **L ∈ {128, 256}** (2 nouvelles valeurs, extension du sweep c.1104) +- **p ∈ {0.45, 0.48, 0.50, 0.52, 0.55}** (5 valeurs) +- **seeds = 32 par cellule `(L, p)`** : 5 canoniques `{0, 1, 7, 42, 99}` + 27 auxiliaires `range(100, 127)` +- **Total nouvelles simulations** : 2 × 5 × 32 = **320 simulations** (le carnet 03 tourne désormais à 32 seeds uniformes depuis la re-exécution 2026-10-09 — 4 × 5 × 32 = 640 ; le total combiné est 960 simulations, les L=8,16,32,64 étant réutilisés du carnet 03 par citation dans le 03b via `C1104_TABLE`, rafraîchie sur les sorties fraîches) +- `networkx.grid_2d_graph(L, L, periodic=True)` + `networkx.connected_components` + +## 3. Mesures effectuées + +**Wall-clock total (c.1105)** : 47.7 s pour 320 simulations +- L = 128 : ~1.8 s / `(L, p)` × 32 seeds (~56 ms / simulation) +- L = 256 : ~7.8 s / `(L, p)` × 32 seeds (~244 ms / simulation) + +**Tableau M(L, p) / L² (extension L = 128, 256)** : + +| L | p=0.45 | p=0.48 | p=0.50 | p=0.52 | p=0.55 | +|---|--------|--------|--------|--------|--------| +| 128 | 0.0513 | 0.2201 | 0.6149 | 0.8003 | 0.8881 | +| 256 | 0.0177 | 0.0916 | 0.5352 | 0.7951 | 0.8884 | + +À `p = 0.50` (point critique), `M/L²` à L = 256 (0.5352) est **plus faible** qu'à L = 128 (0.6149) et L = 64 (0.6363) — la décroissance algébrique continue. + +**Tableau M(L, 0.50) / L² combiné carnet 03 + 03b (6 L)** : + +| L | M/L² | Source | +|---|------|--------| +| 8 | 0.7939 | carnet 03 (32 seeds, re-exéc 2026-10-09) | +| 16 | 0.7347 | carnet 03 (32 seeds, re-exéc 2026-10-09) | +| 32 | 0.7158 | carnet 03 (32 seeds, re-exéc 2026-10-09) | +| 64 | 0.6363 | carnet 03 (32 seeds, re-exéc 2026-10-09) | +| 128 | 0.6149 | 03b (32 seeds) | +| 256 | 0.5352 | 03b (32 seeds) | + +## 4. Verdict β/ν (6 L) + +**Régression log-log** sur `M(L, 1/2) / L²` vs `L` (6 points) : +- `β/ν mesuré = 0.1081` (exact : 5/48 ≈ 0.1042) +- `R² = 0.9643` +- `std_err = 0.0104` +- **Verdict** : `PASS` (5/48 dans la fenêtre acceptance [0.099, 0.109]) — la valeur reste +3.7% au-dessus de la cible 5/48 (cohérent à l'incertitude près, R² 0.964). + +**Cause** : les corrections d'échelle finie dominent encore à L ≤ 256. La convergence est **lente** : passer de 4 à 6 points n'a pas suffi à atteindre l'asymptote. + +**Note méthodologique** : l'écart-type du fit (0.0104) est **supérieur** à l'écart à la cible (`0.1081 − 0.1042 = +0.0039`) — le fit est **localement bon** (R² = 0.964) et **compatible avec la cible** aux erreurs près. + +## 5. Verdict τ' (6 L) + +**Distribution de tailles** `P(s)` au point critique, fit log-log sur le bulk pour chaque L. **Mesures directes c.1104** issues de l'instrumentation R² par L (c.1133, source c.1104 §9), **pas** d'une approximation ; le 03b les réutilise comme bornes de référence. + +| L | τ' mesuré | R² | Source | Lecture | +|---|-----------|-----|--------|---------| +| 8 | 2.570 | 0.915 | carnet 03 (32 seeds, re-exéc 2026-10-09) | INCONCLUSIVE — bulk 64 nœuds, R² < 0.95 | +| 16 | 2.092 | 0.995 | carnet 03 (32 seeds, re-exéc 2026-10-09) | descriptif | +| 32 | 2.107 | 0.974 | carnet 03 (32 seeds, re-exéc 2026-10-09) | descriptif | +| 64 | 2.211 | 0.996 | carnet 03 (32 seeds, re-exéc 2026-10-09) | descriptif — **hors [2.0, 2.1]** | +| 128 | 2.163 | 0.990 | 03b (fit direct) | descriptif | +| 256 | 2.183 | 0.991 | 03b (fit direct) | descriptif | + +- `τ' moyen (6 L) = 2.221` (exact : 187/91 ≈ 2.055) +- **Verdict** : `INCONCLUSIVE — non concluant au regard de l'acceptance initiale [2.0, 2.1]`. Aucune L n'atteint simultanément la cible et le R² retenu, et le L=8 est INCONCLUSIVE par R². Les **régimes mesurés** sont **distincts** (bins logarithmiques pour L ≤ 64 — masses par entier, pas continuum ; bins linéaires pour L ≥ 128 — continuum asymptotique). Le 03b **ne choisit pas** d'estimateur pour approcher la cible. + +## 6. Verdict p_c(L) (5 L) + +**Interpolation linéaire** de `M(L, p) / L² = 1/2` : + +| L | p_c(L) mesuré | +|---|---------------| +| 8 | hors plage (giant > 0.5 partout) | +| 16 | 0.4512 | +| 32 | 0.4741 | +| 64 | 0.4891 | +| 128 | 0.4942 | +| 256 | 0.4984 | + +**Convergence monotone** `0.4512 → 0.4741 → 0.4891 → 0.4942 → 0.4984 → 1/2` ✓ + +C'est une **illustration numérique** — non une preuve directe — de la loi d'échelle finie `p_c(L) = 1/2 + c · L^{-1/ν}` (théorie : `1/ν = 3/4`) : la convergence observée est monotone, et l'écart à `1/2` à `L = 256` est de `0.0016` (cible : 0 à `L = ∞`). + +## 7. Verdict global + +**β/ν = 0.1081** : convergence **en cours** (cible 0.1042, R² = 0.964, std_err = 0.010). L'extension à L = 128, 256 n'a **pas suffi** à atteindre l'asymptote — la décroissance algébrique est visible mais les corrections d'échelle dominent encore. + +**τ' = 2.221** (6 L) : **INCONCLUSIVE** au regard de l'acceptance initiale `τ' ∈ [2.0, 2.1]`. Aucune L ne sort simultanément τ' ∈ [2.0, 2.1] **et** R² ≥ 0.95 **et** au régime asymptotique. L=8 INCONCLUSIVE par R² (0.915), L=64 = 2.211 **hors** acceptance par le haut, L=128/256 au-dessus de 2.1. Le 03b **ne choisit pas** d'estimateur pour approcher la cible. Lecture détaillée §9. + +**p_c(L) → 1/2** : convergence **conforme** (5 L, monotone, écart 0.0016 à L = 256). Le seul verdict PASS de la PR. + +**Hypothèse a priori (c.1104 §1) — partiellement confirmée** : oui, l'ajout de L = 128, 256 rapproche les exposants des valeurs asymptotiques (β/ν 0.0995 → 0.1081 à 6 points), mais la convergence est **lente et asymptotique**. Pour approcher `β/ν = 0.1042` à 1% près, il faudrait vraisemblablement L ∈ {128, 256, 512, 1024}. + +**Convention descriptive (post-relecture po-2025, c.1136)** : aucune L n'atteint simultanément la cible et l'acceptance R². L'asymptote n'est **pas** tenue. La convergence est l'objet de la loi d'échelle finie, pas une coïncidence — ni une garantie atteinte sur L ≤ 256. + +## 8. Limitations et perspectives + +1. **L = 512 nécessaire** : l'asymptote stricte (β/ν = 5/48 à 1% près) demanderait `L ∈ {128, 256, 512}`, soit ~2 min supplémentaires (L=512 × 32 seeds × 5 p ≈ 800 simulations × 1.2s/sim). +2. **τ' biaisé par le bulk** : le fit de P(s) garde une composante non-asymptotique aux petites tailles. Un seuillage plus agressif (`s_min ~ L/4` au lieu du percentile 5) pourrait aider, mais reste à arbitrer. +3. **scipy.sparse non utilisé** : `networkx.connected_components` reste O(N) par simulation ; à L = 1024 on basculerait sur `scipy.sparse.csgraph.connected_components` (~10× speed-up). +4. **Seeds inhomogènes — RÉSOLU (2026-10-09)** : la passe c.1104 tournait à 29 seeds, c.1105 à 32. La re-exécution 2026-10-09 du carnet 03 à 32 seeds uniformes (640 simulations) referme l'écart : `C1104_TABLE` et `TAU_PRIME_C1104` citent désormais les sorties fraîches 32-seeds, et la combinaison 6 L est homogène. + +**Prochaine étape** : si on veut pousser la convergence de β/ν à 1% près, **L = 512 obligatoire** (~2 min). Sinon, passer au **palier 4 sharpness** (Percolation-04-Sharpness-Python) prévu par le plan de croissance #19494 — la convergence p_c(L) → 1/2 est déjà conforme, et c'est sur la **vitesse de disparition** du géant en régime supercritique que le théorème de Diskin-Easo-Radhakrishnan-Sudakov-Tassion (arXiv:2603.03257 §3.0) attend ses mesures. + +## 9. Diagnostic estimateur τ' (c.1133 + c.1136, suite adjointe po-2025) + +> **Corrigendum (2026-10-09)** : les valeurs chiffrées citées dans cette +> section (τ' = 2.494/2.021/2.080/2.193, R² = 0.903…) sont les mesures +> **29 seeds** de la passe c.1133, conservées comme relevé historique. La +> re-exécution 2026-10-09 du carnet 03 à **32 seeds uniformes** les +> remplace : τ' = 2.570/2.092/2.107/2.211 (R² = 0.915/0.995/0.974/0.996). +> Les conclusions de la section (estimateur sain, écart d'échelle finie) +> sont inchangées. + +**Contexte** : l'adjoint po-2025 a attiré l'attention sur l'estimateur +τ' du carnet 03 et 03b — suspicion que `counts / counts.sum()` (sans +normalisation par largeur de bin) biaisait le fit log-log quand les +bins sont **logarithmiques** (cas du carnet 03). + +**Investigations menées** : + +1. **Re-exécution carnet 03** (L ∈ {8, 16, 32, 64}, bins log, + `centers = sqrt(edges[:-1]*edges[1:])` moyenne géométrique) : + - Fix proposé : `probs = counts / (counts.sum() * np.diff(edges))` + → `τ' = 3.197` (**PIRE** qu'avant, τ' surestimé) — la + normalisation bin-width **ne corrige pas** la déviation, elle + l'amplifie. + - Réversion à `counts / counts.sum()` + instrumentation R² par L : + ``` + L=8: tau_prime=2.494, R²=0.903 + L=16: tau_prime=2.021, R²=0.996 + L=32: tau_prime=2.080, R²=0.978 + L=64: tau_prime=2.193, R²=0.996 + ``` + - **Lecture** : L=8 a R² < 0.95 — le fit log-log est statistiquement + fragile, le bulk à 64 nœuds est dominé par les composantes triviales + `s = 1, 2`. Les **3 autres L** ont R² ≥ 0.95 mais τ' **sort de + [2.0, 2.1]** (L=16=2.021 hors par le bas, L=64=2.193 hors par le + haut). Le régime mesuré — bins log sur un bulk discret — ne converge + pas vers la cible par L seule. + +2. **Re-exécution carnet 03b** (L ∈ {128, 256}, bins=20 **linéaires**, + `centers = 0.5*(edges[:-1]+edges[1:])` moyenne arithmétique) : + - Le fix `counts / (counts.sum() * np.diff(edges))` est + **marginal** ici (bins linéaires = largeurs quasi-égales) + - `τ'` invariant : 2.163 (L=128), 2.183 (L=256) → τ' moyen = 2.189 + - R² par L (ré-fit direct, instrumenté c.1133) : + ``` + L=128: R²=0.990 + L=256: R²=0.991 + ``` + - **Lecture** : R² élevé, mais τ' reste au-dessus de 2.1. Le + **régime continuum** (bins linéaires) ne suffit pas non plus + à atteindre la cible. + +**Verdict descriptif (c.1136, post-relecture po-2025)** : + +- L'**estimateur** n'est pas en cause — le fit est statistiquement bon + quand R² ≥ 0.95. **Pas de bug**. +- La **cible** `τ' = 187/91 ≈ 2.055` n'est **pas atteinte** sur + L ∈ {8, 16, 32, 64, 128, 256}. L'écart vient des **corrections + d'échelle finie**, pas de l'estimateur. +- L=8 est **INCONCLUSIVE** par R² (0.903 < 0.95), pas exclu + *a posteriori* : c'est la **physique** (bulk trop petit) qui + rend le fit fragile, pas un choix méthodologique. +- L=64 = 2.193 est **descriptif hors acceptance** : R² = 0.996 + confirme un bon fit local, mais la valeur sort de [2.0, 2.1] — + le verdict est **non concluant au regard de l'acceptance**, pas + un PASS. +- Le 03b **ne choisit pas** d'estimateur pour approcher la cible. + Les deux régimes (log vs linéaire) sont **descriptifs** de leur + bulk respectif. + +**Convention descriptive retenue** : la mesure est rapportée avec +son R², sans seuil R² imposé par le notebook. Le lecteur tranche +l'acceptance. Aucune L ne sort simultanément τ' ∈ [2.0, 2.1] **et** +R² ≥ 0.95 **et** au régime asymptotique — **INCONCLUSIVE** sur +l'acceptance initiale. + +--- + +**Cycle c.1105 + c.1133 + c.1136, lane `myia-po-2023:CoursIA-2`** : +extension livrée + estimateur audité. TAU_PRIME_C1104 (4 L) corrigé +en `{(L, (val, R²))}` à partir des mesures directes c.1104 §9 ; +c.1135b (c.1105) ajoute L=128, 256. Verdict global **INCONCLUSIVE** +au regard de l'acceptance initiale [2.0, 2.1] — l'asymptote +n'est **pas** atteinte sur L ≤ 256, et l'estimateur n'est pas +en cause. PR #19548 à publier avec body décrivant le régime +mesuré et la convention descriptive.