From bf853a065638c1045be563ad5f1491d35da7f97e Mon Sep 17 00:00:00 2001
From: jsboige <jsboige@gmail.com>
Date: Sat, 19 Sep 2026 06:59:01 +0200
Subject: [PATCH] =?UTF-8?q?fix(qc,#16795):=20research=20Mamba-Crypto-Ranki?=
 =?UTF-8?q?ng=20determinisme=20=E2=80=94=20flags=20explicites=20+=20re-exe?=
 =?UTF-8?q?c=20quasi-bit-identique?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

Trio determinisme (CUBLAS avant import torch, cudnn deterministic,
use_deterministic_algorithms warn_only) en cellule 1 au site du seed
global. Re-execution papermill 11/11, 0 erreur : lignes verdict Mamba/
DLinear/BH bit-identiques, micro-drift TFT-Lite seul (-0.036->-0.045),
verdict INCONCLUSIVE inchange, 0 ancrage prose stale.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
---
 .../Mamba-Crypto-Ranking/research.ipynb       | 247 +++++++++---------
 1 file changed, 130 insertions(+), 117 deletions(-)

diff --git a/MyIA.AI.Notebooks/QuantConnect/projects/Mamba-Crypto-Ranking/research.ipynb b/MyIA.AI.Notebooks/QuantConnect/projects/Mamba-Crypto-Ranking/research.ipynb
index e157a2f615..6d385d591e 100644
--- a/MyIA.AI.Notebooks/QuantConnect/projects/Mamba-Crypto-Ranking/research.ipynb
+++ b/MyIA.AI.Notebooks/QuantConnect/projects/Mamba-Crypto-Ranking/research.ipynb
@@ -5,10 +5,10 @@
    "id": "d3989781",
    "metadata": {
     "papermill": {
-     "duration": 0.023214,
-     "end_time": "2026-05-12T06:04:29.822482+00:00",
+     "duration": 0.003013,
+     "end_time": "2026-09-19T04:44:49.143142",
      "exception": false,
-     "start_time": "2026-05-12T06:04:29.799268+00:00",
+     "start_time": "2026-09-19T04:44:49.140129",
      "status": "completed"
     },
     "tags": []
@@ -39,16 +39,16 @@
    "id": "7d21acf9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:04:29.844396Z",
-     "iopub.status.busy": "2026-05-12T06:04:29.844396Z",
-     "iopub.status.idle": "2026-05-12T06:04:33.193653Z",
-     "shell.execute_reply": "2026-05-12T06:04:33.192599Z"
+     "iopub.execute_input": "2026-09-19T04:44:49.149188Z",
+     "iopub.status.busy": "2026-09-19T04:44:49.149188Z",
+     "iopub.status.idle": "2026-09-19T04:44:52.606523Z",
+     "shell.execute_reply": "2026-09-19T04:44:52.605380Z"
     },
     "papermill": {
-     "duration": 3.359818,
-     "end_time": "2026-05-12T06:04:33.194175+00:00",
+     "duration": 3.460353,
+     "end_time": "2026-09-19T04:44:52.606523",
      "exception": false,
-     "start_time": "2026-05-12T06:04:29.834357+00:00",
+     "start_time": "2026-09-19T04:44:49.146170",
      "status": "completed"
     },
     "tags": []
@@ -58,7 +58,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "PyTorch 2.11.0+cpu\n",
+      "PyTorch 2.6.0+cu124\n",
       "Device: cpu\n",
       "Tickers: ['BTC-USD', 'ETH-USD']\n",
       "Seeds: [0, 7, 42, 99], Folds: 5, SeqLen: 21\n"
@@ -68,6 +68,8 @@
    "source": [
     "import numpy as np\n",
     "import pandas as pd\n",
+    "import os\n",
+    "os.environ.setdefault('CUBLAS_WORKSPACE_CONFIG', ':4096:8')  # avant import torch : workspace deterministe CuBLAS\n",
     "import torch\n",
     "import torch.nn as nn\n",
     "import torch.nn.functional as F\n",
@@ -86,6 +88,10 @@
     "\n",
     "np.random.seed(42)\n",
     "torch.manual_seed(42)\n",
+    "# Determinisme explicite : les seeds ne suffisent pas seuls\n",
+    "torch.backends.cudnn.deterministic = True\n",
+    "torch.backends.cudnn.benchmark = False\n",
+    "torch.use_deterministic_algorithms(True, warn_only=True)\n",
     "print(f'PyTorch {torch.__version__}')\n",
     "print(f'Device: {DEVICE}')\n",
     "print(f'Tickers: {TICKERS}')\n",
@@ -97,10 +103,10 @@
    "id": "9cff955f",
    "metadata": {
     "papermill": {
-     "duration": 0.002718,
-     "end_time": "2026-05-12T06:04:33.199586+00:00",
+     "duration": 0.002016,
+     "end_time": "2026-09-19T04:44:52.611096",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.196868+00:00",
+     "start_time": "2026-09-19T04:44:52.609080",
      "status": "completed"
     },
     "tags": []
@@ -118,16 +124,16 @@
    "id": "be1ddb2f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:04:33.206995Z",
-     "iopub.status.busy": "2026-05-12T06:04:33.206475Z",
-     "iopub.status.idle": "2026-05-12T06:04:33.837764Z",
-     "shell.execute_reply": "2026-05-12T06:04:33.837764Z"
+     "iopub.execute_input": "2026-09-19T04:44:52.617621Z",
+     "iopub.status.busy": "2026-09-19T04:44:52.617621Z",
+     "iopub.status.idle": "2026-09-19T04:44:53.057036Z",
+     "shell.execute_reply": "2026-09-19T04:44:53.055527Z"
     },
     "papermill": {
-     "duration": 0.63601,
-     "end_time": "2026-05-12T06:04:33.837764+00:00",
+     "duration": 0.443227,
+     "end_time": "2026-09-19T04:44:53.057679",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.201754+00:00",
+     "start_time": "2026-09-19T04:44:52.614452",
      "status": "completed"
     },
     "tags": []
@@ -199,16 +205,16 @@
    "id": "709e6020",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:04:33.851470Z",
-     "iopub.status.busy": "2026-05-12T06:04:33.851470Z",
-     "iopub.status.idle": "2026-05-12T06:04:33.889780Z",
-     "shell.execute_reply": "2026-05-12T06:04:33.889780Z"
+     "iopub.execute_input": "2026-09-19T04:44:53.064510Z",
+     "iopub.status.busy": "2026-09-19T04:44:53.064510Z",
+     "iopub.status.idle": "2026-09-19T04:44:53.103757Z",
+     "shell.execute_reply": "2026-09-19T04:44:53.102776Z"
     },
     "papermill": {
-     "duration": 0.03831,
-     "end_time": "2026-05-12T06:04:33.889780+00:00",
+     "duration": 0.044208,
+     "end_time": "2026-09-19T04:44:53.104754",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.851470+00:00",
+     "start_time": "2026-09-19T04:44:53.060546",
      "status": "completed"
     },
     "tags": []
@@ -293,10 +299,10 @@
    "id": "1cc8d9ee",
    "metadata": {
     "papermill": {
-     "duration": 0.0,
-     "end_time": "2026-05-12T06:04:33.889780+00:00",
+     "duration": 0.002986,
+     "end_time": "2026-09-19T04:44:53.113303",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.889780+00:00",
+     "start_time": "2026-09-19T04:44:53.110317",
      "status": "completed"
     },
     "tags": []
@@ -318,16 +324,16 @@
    "id": "d245f7c3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:04:33.889780Z",
-     "iopub.status.busy": "2026-05-12T06:04:33.889780Z",
-     "iopub.status.idle": "2026-05-12T06:04:33.908517Z",
-     "shell.execute_reply": "2026-05-12T06:04:33.908517Z"
+     "iopub.execute_input": "2026-09-19T04:44:53.124024Z",
+     "iopub.status.busy": "2026-09-19T04:44:53.124024Z",
+     "iopub.status.idle": "2026-09-19T04:44:53.151993Z",
+     "shell.execute_reply": "2026-09-19T04:44:53.151200Z"
     },
     "papermill": {
-     "duration": 0.020103,
-     "end_time": "2026-05-12T06:04:33.909883+00:00",
+     "duration": 0.036586,
+     "end_time": "2026-09-19T04:44:53.154008",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.889780+00:00",
+     "start_time": "2026-09-19T04:44:53.117422",
      "status": "completed"
     },
     "tags": []
@@ -460,10 +466,10 @@
    "id": "1f7b7c29",
    "metadata": {
     "papermill": {
-     "duration": 0.003,
-     "end_time": "2026-05-12T06:04:33.915019+00:00",
+     "duration": 0.00523,
+     "end_time": "2026-09-19T04:44:53.162687",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.912019+00:00",
+     "start_time": "2026-09-19T04:44:53.157457",
      "status": "completed"
     },
     "tags": []
@@ -480,16 +486,16 @@
    "id": "d2cb1856",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:04:33.923053Z",
-     "iopub.status.busy": "2026-05-12T06:04:33.923053Z",
-     "iopub.status.idle": "2026-05-12T06:04:33.928167Z",
-     "shell.execute_reply": "2026-05-12T06:04:33.928167Z"
+     "iopub.execute_input": "2026-09-19T04:44:53.173092Z",
+     "iopub.status.busy": "2026-09-19T04:44:53.171376Z",
+     "iopub.status.idle": "2026-09-19T04:44:53.182969Z",
+     "shell.execute_reply": "2026-09-19T04:44:53.181930Z"
     },
     "papermill": {
-     "duration": 0.010419,
-     "end_time": "2026-05-12T06:04:33.929429+00:00",
+     "duration": 0.016626,
+     "end_time": "2026-09-19T04:44:53.184310",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.919010+00:00",
+     "start_time": "2026-09-19T04:44:53.167684",
      "status": "completed"
     },
     "tags": []
@@ -546,10 +552,10 @@
    "id": "d42144da",
    "metadata": {
     "papermill": {
-     "duration": 0.003001,
-     "end_time": "2026-05-12T06:04:33.934435+00:00",
+     "duration": 0.002999,
+     "end_time": "2026-09-19T04:44:53.190332",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.931434+00:00",
+     "start_time": "2026-09-19T04:44:53.187333",
      "status": "completed"
     },
     "tags": []
@@ -567,16 +573,16 @@
    "id": "6ff125fd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:04:33.936435Z",
-     "iopub.status.busy": "2026-05-12T06:04:33.936435Z",
-     "iopub.status.idle": "2026-05-12T06:04:33.986909Z",
-     "shell.execute_reply": "2026-05-12T06:04:33.986909Z"
+     "iopub.execute_input": "2026-09-19T04:44:53.196755Z",
+     "iopub.status.busy": "2026-09-19T04:44:53.196755Z",
+     "iopub.status.idle": "2026-09-19T04:44:53.290062Z",
+     "shell.execute_reply": "2026-09-19T04:44:53.289440Z"
     },
     "papermill": {
-     "duration": 0.050474,
-     "end_time": "2026-05-12T06:04:33.986909+00:00",
+     "duration": 0.098813,
+     "end_time": "2026-09-19T04:44:53.291139",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.936435+00:00",
+     "start_time": "2026-09-19T04:44:53.192326",
      "status": "completed"
     },
     "tags": []
@@ -586,7 +592,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Gradient verification (v2):\n",
+      "Gradient verification (v2):"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
       "  Output std: nan (target > 0.01)\n",
       "  Top-5 grad norms:\n",
       "    input_proj.weight: nan\n",
@@ -637,10 +650,10 @@
    "id": "b543c6f7",
    "metadata": {
     "papermill": {
-     "duration": 0.002002,
-     "end_time": "2026-05-12T06:04:33.994917+00:00",
+     "duration": 0.004261,
+     "end_time": "2026-09-19T04:44:53.298810",
      "exception": false,
-     "start_time": "2026-05-12T06:04:33.992915+00:00",
+     "start_time": "2026-09-19T04:44:53.294549",
      "status": "completed"
     },
     "tags": []
@@ -663,16 +676,16 @@
    "id": "9ef47ed7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:04:34.005385Z",
-     "iopub.status.busy": "2026-05-12T06:04:34.005385Z",
-     "iopub.status.idle": "2026-05-12T06:04:34.019516Z",
-     "shell.execute_reply": "2026-05-12T06:04:34.019170Z"
+     "iopub.execute_input": "2026-09-19T04:44:53.308347Z",
+     "iopub.status.busy": "2026-09-19T04:44:53.308347Z",
+     "iopub.status.idle": "2026-09-19T04:44:53.321646Z",
+     "shell.execute_reply": "2026-09-19T04:44:53.320633Z"
     },
     "papermill": {
-     "duration": 0.020035,
-     "end_time": "2026-05-12T06:04:34.021416+00:00",
+     "duration": 0.019807,
+     "end_time": "2026-09-19T04:44:53.322634",
      "exception": false,
-     "start_time": "2026-05-12T06:04:34.001381+00:00",
+     "start_time": "2026-09-19T04:44:53.302827",
      "status": "completed"
     },
     "tags": []
@@ -796,16 +809,16 @@
    "id": "cdb3cc4f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:04:34.027728Z",
-     "iopub.status.busy": "2026-05-12T06:04:34.027728Z",
-     "iopub.status.idle": "2026-05-12T06:04:34.043223Z",
-     "shell.execute_reply": "2026-05-12T06:04:34.043223Z"
+     "iopub.execute_input": "2026-09-19T04:44:53.330999Z",
+     "iopub.status.busy": "2026-09-19T04:44:53.329873Z",
+     "iopub.status.idle": "2026-09-19T04:44:53.352129Z",
+     "shell.execute_reply": "2026-09-19T04:44:53.351226Z"
     },
     "papermill": {
-     "duration": 0.018501,
-     "end_time": "2026-05-12T06:04:34.044227+00:00",
+     "duration": 0.026616,
+     "end_time": "2026-09-19T04:44:53.352129",
      "exception": false,
-     "start_time": "2026-05-12T06:04:34.025726+00:00",
+     "start_time": "2026-09-19T04:44:53.325513",
      "status": "completed"
     },
     "tags": []
@@ -847,10 +860,10 @@
    "id": "cb9d5688",
    "metadata": {
     "papermill": {
-     "duration": 0.003,
-     "end_time": "2026-05-12T06:04:34.051228+00:00",
+     "duration": 0.003238,
+     "end_time": "2026-09-19T04:44:53.358463",
      "exception": false,
-     "start_time": "2026-05-12T06:04:34.048228+00:00",
+     "start_time": "2026-09-19T04:44:53.355225",
      "status": "completed"
     },
     "tags": []
@@ -865,16 +878,16 @@
    "id": "36c8a11c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:04:34.061582Z",
-     "iopub.status.busy": "2026-05-12T06:04:34.061582Z",
-     "iopub.status.idle": "2026-05-12T06:11:36.928505Z",
-     "shell.execute_reply": "2026-05-12T06:11:36.927501Z"
+     "iopub.execute_input": "2026-09-19T04:44:53.365228Z",
+     "iopub.status.busy": "2026-09-19T04:44:53.364143Z",
+     "iopub.status.idle": "2026-09-19T04:57:44.150619Z",
+     "shell.execute_reply": "2026-09-19T04:57:44.149591Z"
     },
     "papermill": {
-     "duration": 422.880932,
-     "end_time": "2026-05-12T06:11:36.936510+00:00",
+     "duration": 770.79247,
+     "end_time": "2026-09-19T04:57:44.152602",
      "exception": false,
-     "start_time": "2026-05-12T06:04:34.055578+00:00",
+     "start_time": "2026-09-19T04:44:53.360132",
      "status": "completed"
     },
     "tags": []
@@ -914,7 +927,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Seed=0 Fold=3: Mamba S=0.00, DLinear S=-0.66, TFT-Lite S=-0.26\n"
+      "Seed=0 Fold=3: Mamba S=0.00, DLinear S=-0.66, TFT-Lite S=-0.34\n"
      ]
     },
     {
@@ -942,7 +955,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Seed=7 Fold=2: Mamba S=0.00, DLinear S=-0.40, TFT-Lite S=-0.63\n"
+      "Seed=7 Fold=2: Mamba S=0.00, DLinear S=-0.40, TFT-Lite S=-0.74\n"
      ]
     },
     {
@@ -1123,10 +1136,10 @@
    "id": "05d936a0",
    "metadata": {
     "papermill": {
-     "duration": 0.006502,
-     "end_time": "2026-05-12T06:11:36.949772+00:00",
+     "duration": 0.005599,
+     "end_time": "2026-09-19T04:57:44.160741",
      "exception": false,
-     "start_time": "2026-05-12T06:11:36.943270+00:00",
+     "start_time": "2026-09-19T04:57:44.155142",
      "status": "completed"
     },
     "tags": []
@@ -1144,16 +1157,16 @@
    "id": "d12ea2d4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:11:36.967722Z",
-     "iopub.status.busy": "2026-05-12T06:11:36.966722Z",
-     "iopub.status.idle": "2026-05-12T06:11:36.995260Z",
-     "shell.execute_reply": "2026-05-12T06:11:36.994256Z"
+     "iopub.execute_input": "2026-09-19T04:57:44.170712Z",
+     "iopub.status.busy": "2026-09-19T04:57:44.170712Z",
+     "iopub.status.idle": "2026-09-19T04:57:44.198556Z",
+     "shell.execute_reply": "2026-09-19T04:57:44.197483Z"
     },
     "papermill": {
-     "duration": 0.040166,
-     "end_time": "2026-05-12T06:11:36.996261+00:00",
+     "duration": 0.032461,
+     "end_time": "2026-09-19T04:57:44.198556",
      "exception": false,
-     "start_time": "2026-05-12T06:11:36.956095+00:00",
+     "start_time": "2026-09-19T04:57:44.166095",
      "status": "completed"
     },
     "tags": []
@@ -1170,8 +1183,8 @@
       "Sharpe par seed et modele:\n",
       "model  DLinear  Mamba  TFT-Lite\n",
       "seed                           \n",
-      "0      -0.4369    0.0   -0.0898\n",
-      "7       0.1475    0.0   -0.0651\n",
+      "0      -0.4369    0.0   -0.1064\n",
+      "7       0.1475    0.0   -0.0864\n",
       "42      0.1215    0.0    0.0953\n",
       "99      0.1230    0.0   -0.0830\n",
       "\n",
@@ -1180,7 +1193,7 @@
       "--- Verdicts par modele ---\n",
       "Mamba: Sharpe=0.000, Edge=-0.740 (std=0.000), z=0.00 -> INCONCLUSIVE\n",
       "DLinear: Sharpe=-0.011, Edge=-0.751 (std=0.284), z=-2.64 -> NO BEATS\n",
-      "TFT-Lite: Sharpe=-0.036, Edge=-0.776 (std=0.088), z=-8.82 -> NO BEATS\n",
+      "TFT-Lite: Sharpe=-0.045, Edge=-0.785 (std=0.094), z=-8.33 -> NO BEATS\n",
       "\n",
       "Best model: Mamba (Sharpe 0.000)\n",
       "BH baseline: 0.740\n"
@@ -1246,10 +1259,10 @@
    "id": "adcb88e8",
    "metadata": {
     "papermill": {
-     "duration": 0.007454,
-     "end_time": "2026-05-12T06:11:37.010714+00:00",
+     "duration": 0.003011,
+     "end_time": "2026-09-19T04:57:44.205681",
      "exception": false,
-     "start_time": "2026-05-12T06:11:37.003260+00:00",
+     "start_time": "2026-09-19T04:57:44.202670",
      "status": "completed"
     },
     "tags": []
@@ -1264,16 +1277,16 @@
    "id": "8bae8128",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2026-05-12T06:11:37.024510Z",
-     "iopub.status.busy": "2026-05-12T06:11:37.024510Z",
-     "iopub.status.idle": "2026-05-12T06:11:37.595038Z",
-     "shell.execute_reply": "2026-05-12T06:11:37.595038Z"
+     "iopub.execute_input": "2026-09-19T04:57:44.212358Z",
+     "iopub.status.busy": "2026-09-19T04:57:44.212358Z",
+     "iopub.status.idle": "2026-09-19T04:57:44.540067Z",
+     "shell.execute_reply": "2026-09-19T04:57:44.539759Z"
     },
     "papermill": {
-     "duration": 0.578312,
-     "end_time": "2026-05-12T06:11:37.595038+00:00",
+     "duration": 0.331619,
+     "end_time": "2026-09-19T04:57:44.540067",
      "exception": false,
-     "start_time": "2026-05-12T06:11:37.016726+00:00",
+     "start_time": "2026-09-19T04:57:44.208448",
      "status": "completed"
     },
     "tags": []
@@ -1281,7 +1294,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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k9oOWAQMG2D777ONSGypN6GGHHebKUJ+hMlKKM223aHuV2k70PfQdI9HcggcddJDtt99+9tlnn9mkSZOCc+0odZ3KSqmzlG7t1ltvdalJ5dBDD3Xz5/lt2bLFjjvuOPvzzz/d79rvSgenlHuvvvqqS/nl7SvN/aW0e5VBKcauuuqqYFmr3P2p/2KhOcCUrlHzfykdmI5Bbb9Sx40YMSKYzm7vvfd25a5zQcej9ouOBX0XL+2Z0hZqLjrv2JS99trLDjnkEPfcl19+aWvWrHGPx1q2Zfn444/dnDne999uu+3slFNOcfNq6bzVcaC5AY8//niXclCpEMMpxZ8e1zmilGqPPPKI21a9p+ZG07YnE51LOnfl66+/dufmzjvv7H5/4403XJq58DSfKnPtF+0z6dixo0svqHP8xRdfdKngvHLSvos0J6S3T3Vt0pyBSkun9XTM++eEUxres846y53v3rxu8brzzjvt0UcfDf6uea2UJk3nvtIua25L0XVW+0jHn+a/Eu1LpcX1H3/VRcef0lwq5Z+uKboW6fdoFi5c6Obq9AwaNMjatm0b02d98sknIb9HS+Gp/az0nf7X6RiKRPcRnfM6XpQe0z8HYyTeNdMr9/B5RpOFrrleGkylSW7durX17dvXpefs06ePm1utefPm2zTnptIb+ve1Uvl5dN/efffdo76X7vXeuRm+7zp06FDutii9pBZPeXPLKe2qtlupI/UdNCedd++677773HVAdQHRuf3++++7n1XH0HW7a9eurjyVdlLXSaVFV1kqraT861//Cjn/VGfRPVJzSOoeoGuWf55PXcdUR/L4j7vy0lWHzxUquu7fcsstrs4iSsOp9SpDeErY8Lmg9bt3rMWaPta/ntKhq67m0XbrOuvNceutG8t2eHTNVFpmpfqtLLov6p6quo3mGFa9WNdg73qvY0vz/0Wj4073et27dO3QsaXjUvNi6ljWNUj1MM29GYnuWbqPqc4+derU4DGqz9Sieq3OH6UZ1vElTz/9tLuuRbrGxnNOqBxVH1I6Xd2blBZZ+0fXQ9VHdU4opad3j/Xz34/Cr+EAACAFJDryCAAAYhfe816jG5S6yft94sSJgS5dugRHcyhVUFkj/mT9+vVupJBSNN19992u57/SW/lHlPn530+pBr3RCLNmzQrZNqUy8lIrarv8z/l7RoePfPjss8+Cz+ln/3NKI+qnHttKn6RRIePGjXPbrt78/tfMnz+/3HK94447Ql7z9ttvx7xPwkdZXHrppRHXU9qxSD2y/T3J/Y+H91gfOHBgsGe9/tXv/tGN2o+xpprUyCf/e/tTfGnEhP/13oi3eMshWqoyHRfeOhpdFe+IP41QCh+1IBot5u9F7x+xOXXq1IijWf73v/+FPH7OOeeUSpOlEYHRtiXa6I5o6/jPK43a86cSVMpc/7b40yT6Rw6od74/PaGON+85jZ5LNhoR5h+hqRFdHv8oDH/6QaUE9R5v0qSJG0Xi0TVF17ZI6UPDryW6JoS77bbbQtbxj5IMv97EMuJPx5l/ezRK2r9fRaPRVq1aFdOx7lfVI/404ltp73T98EY66/iPNuIv/Dy6+uqrKzTys3HjxlHX0+hd/2coPWO0a4zuPd77Ks2zjrWyRvz5R1b37ds3EI/qHPGnfaIy8j/vXzSqWWkHvVGOsV6Dle7PP1rTOyaVHrmslLyxjFQNL+uyfPDBByH3rkjCv8vTTz8dfE7fy5829rTTTnOP6zrhH/E9YcKEkPdUakV/tgKPRlF7j2tkWjh9nv9+Ej5CcFvomnf44YeHjGT2j7YU1c1Ut4l18aeA9Y/O0xKeyUDHkfecRqTFYqeddgq+Zr/99iv1vD+TgNKnRrruht9Xr7/++pDnw0fmxyv8eq1Rb/40pEq5ftBBBwWPQX2e/9oY6RxXCmCNMleKfN2fVdZKK+4vPy/NvfjfT8erdz6qruY/TvX53shppV/1b7fqKNtyTvjpuFK6Tp3f2va///3vIe8XPoJePv300+DzylQQayYMAACQHBjxBwBAitMovzvuuMP1UNfIFY3Sk3POOafcHtPq+T569Gg34igarxdxJBot2LBhQ/dzp06dQp7TaAKNyvNGuvh5I6bCqde3v8e8flaPcq9X9rRp04LPqbf22WefHTJyINr2xzIKobJoFEokF110UXCUj3pna59ppJa/h/iwYcOivq9GuHk96/Wveo57I9c0UkC99jUqJNZRc37+EX3q8a3RSt6oBPXU14gEjbKrDP6RlRVx+OGHuxEx4TRiyaMe9BoFGI1GB2pEi0bL+t18880hoxcijUzYFv5y12hEjbj1f68WLVq4UaLeupdeemmp9+jXr58bkePZaaedyj2vwmm0ikazbAuNftR3KI9GK2ikxNtvvx0cxaDRLdpW/7Gv4zs7O7vUvtR6GqVQ1r7UyN5wGpVx4YUXlnrcG00hGpHnHyEZfr2JxaxZs4L7TLQt/v0qZW1/VZ4rsdAolHPPPdeNEvn2229DRjIlO43S1Ih0jW7R6NebbrrJjdZKddonutfp3vzyyy8HR4R7dK/XPUT3eo3aCb9mRaMRtd7otvz8fDd6VnUG/2g/jWTSvaUq+c+XSKOaw9WqVcuNRvKorrHvvvu6EeP+eoFG56ls/CPMtUSiY927r2kUvTciTaO4dY3VKMHu3bvb/vvvHxydX9l0fmv7vGtjbm6u/e9//ys12nL48OGV+pll/b6t7xfre1b2dsRC9xiNPtco8zFjxrgRzN7oY42qLYvuW7ofRxrp6tEoRT2vEZvhlAHCqyPrmNO9ftGiRcHnvFF9sdaVYz0nZPr06a6Op1GHZYlU1/ffu5RNQVk1tO0AACA1EPgDACDFKd2hGj7VYOsF/dQooIBgWZTSUel9yuOln4rEn4IoPHWn/zmvQd/jpWMMF95g7jXOew3xXpoyNdgodVl4g2i0xphYytBP6exiCWqEU/q1aI38CoQqiKTUnGrMeemll1y5qMFalIbJH9Apr2xULn5e2cTCn15RaZ+8AG2k91aDnN67MgJ/+lx/w1l4uceiW7duUd873oZn/2v0/SIdf5XJ/3nh+897zNu2aA1+4QF2f3A/1sZTNf4rheC2UPrFWM8RBRy8xm0F6hWY9dLx+tfZln0ZTg2o4ded8POkvOtNLMK3VYHDVHPddde5NKfr16+3UaNG2eDBg2O+TsZKjeFeykTtA6XG8zqN+Ckla/jryqJUrkoVqYCuvoOXRjba9nspYJVOUOdLrEGzeOj+66cgWzjvuh9pfdG9QgE5pSVUI76CWkoPqPPIu3+qkV+pjiN1hIhEaUIVzPLSXyvdp867Z555JriOAqflBaqVlth/vlY1bU94Rw7/9dM7p+O5bmjfK4ih677SN+u+rLJVJyh10PE66YhSJioNbvh9clv97W9/CwZd9f20HxRoDKd0zl7qzFioE4lSsEv4vlTqa6WG9P/uiTV9rP89/a8v6z0jbUe03xXQjyUgHC91alIQ9fbbbw8G/eSSSy4p83Ve4CxavTWW+mZ4uk5/fbkideVYzwldZ3ROe0HGeLe9OgKyAACg6hD4AwAgDajhwj9SQ4HA8uZe8q+v4I9GFqjnu3qdaz66SKNlwkVqsPREanQvz9KlSyPOZeLxGqxef/31kKDfXXfd5UYuaG4ZNWp6jV6x0tx5agD2GjnUIKqRO/HO81dWw6DeS2XqBVs1J5i/Mays0X6RysZfLuJvzCuPf/4gNXSqwd+/7f73VrnE897lNRj7G5I0V1W8opWxvpNXRur5fswxx0R9D29Uqb8cdDzp9VUZ/PNvY/j+C38sWsNn+DlXFYGLyqZ9oe/jBTPV2O0FgUSBC/+oGv9+UeBH8yJGE200b7TjxH8sl3e9iUX4XFwVmSMw0dRgrHuIAiAKjEUb9ad7igLvXsBP81GpQbm84Jzo3qJ5Sj0abRZpNNbzzz9f6nXl0XZrVOnmzZvdnFjRaHSnF/jTsai5F6tinr/wETGRjgkFmqKtHx4g0Ag0LRpxpHPHP0Jb3yfWwJ8XsNdcZN6cXboP+YMC1RHQ8weYYhmlrACdRsf7Ax2R6gXh56Lm+yurHuTNDaoAtEYfa8TTF1984YLCqkdo/jbdF9RJQiP0NUqssuj9lHHBozqX5t2NRCOkwwPi5ZWvVwcKHz2o485/vMyZMyf4c6wjG/WeGmntHdv+ALo6Ynjz4vrfM9J2qLNTpO3YcccdK3V+Pz/VwVRf9EaGau678uZV1dyQXgBO31MBWmW70D1Gx01Z86JWVV051nNC8wr7z2/VPzXqUceIju3ygtn+YLrqsBUdvQ4AABIjvtYsAACQlNQo6G+8iJT6LlLDgX90gVJcKeinBg41yiaCGoO8BiXRz/5G0169epXadi9o5jXihTccx0IN10pv6dEoCjWEq2ElnBpalfapItTQ7TW0aNTTG2+8EXN6NaV284Jm+te/DXq9v9HO38gUaVSkP52qF+j0qIe4vwx79OhRKaP99F39aVAbNGjgUrVWFv93Wrx4sUt1qxEV/kWNfgrseesqQOin1HrhPdzDG1zLK9tYt3HixIkhgSeNNvGPXgvfR5VJx56+57YsTzzxRMyfp0bcU045Jfj7s88+6xrYowW9/d9dZaKgTvi+VAOmGo41iikeGh3mbyhVqsRo15tYKNWqP3CjlJnh6eAU3PA3hsd6DKmR2VtuvPFGq0pXXnllMNis8yca/+gYjWRTmrxII630nceNGxcSUPJ/b6XVDR+FolR0999/f/B3NU6rE0t5dO868MADy932ESNGhDSUn3/++fbdd9+VWk8BRAXEIgWGY9GlS5eQIJSCdf7Uujr3/Slnw1M06zqp66U/baW/k45fvJ0yTj/99GAZ6Dz2B9UVANZosarmT5+sUb/llbP2hz8YPW/evJA0zV69QOXo37863sKvG1pOOOEEd7/0Rpz++OOP7jPat2/vnrv22mvd/dZ/f9KoL//7+sV7H3jyySdd8MWjgKLuV1V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       "text/plain": [
        "<Figure size 1800x500 with 3 Axes>"
       ]
@@ -1396,21 +1409,21 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.12.13"
+   "version": "3.10.19"
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 430.733958,
-   "end_time": "2026-05-12T06:11:38.724622+00:00",
+   "duration": 777.631372,
+   "end_time": "2026-09-19T04:57:45.429824",
    "environment_variables": {},
    "exception": null,
    "input_path": "research.ipynb",
    "output_path": "research.ipynb",
    "parameters": {},
-   "start_time": "2026-05-12T06:04:27.990664+00:00",
+   "start_time": "2026-09-19T04:44:47.798452",
    "version": "2.7.0"
   }
  },
  "nbformat": 4,
  "nbformat_minor": 5
-}
+}
\ No newline at end of file