553 lines
176 KiB
Plaintext
553 lines
176 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "08bd379a",
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"metadata": {},
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"outputs": [],
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"source": [
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"import torch\n",
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"from models import TimeAwareGPT2\n",
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"from utils import load_model\n",
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"from tqdm import tqdm\n",
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"import pandas as pd\n",
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"import numpy as np\n",
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"import textwrap\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"plt.rcParams['figure.facecolor'] = 'white'\n",
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"plt.rcParams.update({'axes.grid': True,\n",
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" 'grid.linestyle': ':',\n",
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" 'axes.spines.bottom': False,\n",
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" 'axes.spines.left': False,\n",
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" 'axes.spines.right': False,\n",
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" 'axes.spines.top': False})\n",
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"plt.rcParams['figure.dpi'] = 72\n",
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"plt.rcParams['pdf.fonttype'] = 42\n",
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"\n",
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"#Green\n",
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"light_male = '#BAEBE3'\n",
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"normal_male = '#0FB8A1'\n",
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"dark_male = '#00574A'\n",
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"\n",
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"\n",
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"#Purple\n",
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"light_female = '#DEC7FF'\n",
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"normal_female = '#8520F1'\n",
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"dark_female = '#7A00BF'\n",
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"\n",
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" \n",
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"delphi_labels = pd.read_csv('delphi_labels_chapters_colours_icd.csv')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "1d8375ab",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<div>\n",
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"<style scoped>\n",
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" .dataframe tbody tr th:only-of-type {\n",
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" vertical-align: middle;\n",
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" }\n",
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"\n",
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" .dataframe tbody tr th {\n",
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" vertical-align: top;\n",
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" }\n",
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"\n",
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" .dataframe thead th {\n",
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" text-align: right;\n",
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" }\n",
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"</style>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>name</th>\n",
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" <th>ICD-10 Chapter (short)</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>46</th>\n",
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" <td>A41 Other septicaemia</td>\n",
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" <td>I. Infectious Diseases</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>95</th>\n",
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" <td>B01 Varicella [chickenpox]</td>\n",
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" <td>I. Infectious Diseases</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>1168</th>\n",
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" <td>C25 Malignant neoplasm of pancreas</td>\n",
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" <td>II. Neoplasms</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>1188</th>\n",
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" <td>C50 Malignant neoplasm of breast</td>\n",
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" <td>II. Neoplasms</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>374</th>\n",
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" <td>G30 Alzheimer's disease</td>\n",
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" <td>VI. Nervous System Diseases</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>214</th>\n",
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" <td>E10 Insulin-dependent diabetes mellitus</td>\n",
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" <td>IV. Metabolic Diseases</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>305</th>\n",
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" <td>F32 Depressive episode</td>\n",
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" <td>V. Mental Disorders</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>505</th>\n",
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" <td>I21 Acute myocardial infarction</td>\n",
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" <td>IX. Circulatory Diseases</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>603</th>\n",
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" <td>J45 Asthma</td>\n",
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" <td>X. Respiratory Diseases</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>1269</th>\n",
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" <td>Death</td>\n",
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" <td>Death</td>\n",
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" </tr>\n",
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" </tbody>\n",
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"</table>\n",
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"</div>"
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],
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"text/plain": [
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" name ICD-10 Chapter (short)\n",
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"46 A41 Other septicaemia I. Infectious Diseases\n",
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"95 B01 Varicella [chickenpox] I. Infectious Diseases\n",
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"1168 C25 Malignant neoplasm of pancreas II. Neoplasms\n",
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"1188 C50 Malignant neoplasm of breast II. Neoplasms\n",
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"374 G30 Alzheimer's disease VI. Nervous System Diseases\n",
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"214 E10 Insulin-dependent diabetes mellitus IV. Metabolic Diseases\n",
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"305 F32 Depressive episode V. Mental Disorders\n",
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"505 I21 Acute myocardial infarction IX. Circulatory Diseases\n",
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"603 J45 Asthma X. Respiratory Diseases\n",
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"1269 Death Death"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# Delphi is capable of predicting the disease risk for 1,256 diseases from ICD-10 plus death. \n",
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"# For illustrative purposes, some of the plots will focus on a subset of 10 selected diseases - the same subset in used in the Delphi paper. \n",
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"\n",
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"diseases_of_interest = [46, 95, 1168, 1188, 374, 214, 305, 505, 603, 1269]\n",
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"delphi_labels.iloc[diseases_of_interest][['name', 'ICD-10 Chapter (short)']]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "f8d86352",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Using device: cpu\n",
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"Model config: {'n_layer': 12, 'n_embd': 120, 'n_head': 12, 'max_epoch': 200, 'batch_size': 128, 'lr_initial': 0.0006, 'lr_final': 6e-05, 'weight_decay': 0.2, 'warmup_epochs': 10, 'early_stopping_patience': 10, 'pdrop': 0.0, 'token_pdrop': 0.0, 'betas': [0.9, 0.99]}\n",
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"Model loaded from best_model_n_embd_120_n_layer_12_n_head_12.pt with 2.40M parameters.\n"
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]
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}
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],
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"source": [
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"seed = 1337\n",
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"model_name = 'n_embd_120_n_layer_12_n_head_12'\n",
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"torch.manual_seed(seed)\n",
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"torch.cuda.manual_seed(seed)\n",
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"device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
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"print(f'Using device: {device}')\n",
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"model = load_model(f'config_{model_name}.json',\n",
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" f'best_model_{model_name}.pt', \n",
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" 1270)\n",
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"model.eval()\n",
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"model = model.to(device)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "a8658fb6",
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"metadata": {},
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"outputs": [],
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"source": [
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"# Let's try to use the loaded model to extrapolate a partial health trajectory.\n",
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"\n",
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"example_health_trajectory = [\n",
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" ('Male', 0),\n",
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" ('B01 Varicella [chickenpox]',2),\n",
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" ('L20 Atopic dermatitis',3),\n",
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" ('No event', 5),\n",
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" ('No event', 10),\n",
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" ('No event', 15),\n",
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" ('No event', 20),\n",
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" ('G43 Migraine', 20),\n",
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" ('E73 Lactose intolerance',21),\n",
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" ('B27 Infectious mononucleosis',22),\n",
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" ('No event', 25),\n",
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" ('J11 Influenza, virus not identified',28),\n",
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" ('No event', 30),\n",
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" ('No event', 35),\n",
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" ('No event', 40),\n",
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" ('Smoking low', 41),\n",
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" ('BMI mid', 41),\n",
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" ('Alcohol low', 41),\n",
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" ('No event', 42),\n",
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"]\n",
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"example_health_trajectory = [(a, b * 365.25) for a,b in example_health_trajectory] "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "d7f2e4a1",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Input trajectory:\n",
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"0.0: Male\n",
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"2.0: B01 Varicella [chickenpox]\n",
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"3.0: L20 Atopic dermatitis\n",
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"5.0: No event\n",
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"10.0: No event\n",
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"15.0: No event\n",
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"20.0: No event\n",
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"20.0: G43 Migraine\n",
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"21.0: E73 Lactose intolerance\n",
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"22.0: B27 Infectious mononucleosis\n",
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"25.0: No event\n",
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"28.0: J11 Influenza, virus not identified\n",
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"30.0: No event\n",
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"35.0: No event\n",
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"40.0: No event\n",
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"41.0: Smoking low\n",
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"41.0: BMI mid\n",
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"41.0: Alcohol low\n",
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"42.0: No event\n",
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"=====================\n",
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"Generated trajectory:\n",
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"44.6: H35 Other retinal disorders\n",
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"46.0: D50 Iron deficiency anaemia\n",
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"47.1: No event\n",
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"50.7: E55 Vitamin d deficiency\n",
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"50.7: I10 Essential primary hypertension\n",
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"50.8: D64 Other anaemias\n",
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"50.8: H54 Blindness and low vision\n",
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"50.8: K76 Other diseases of liver\n",
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"51.1: E83 Disorders of mineral metabolism\n",
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"51.2: N95 Menopausal and other perimenopausal disorders\n",
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"51.2: M79 Other soft tissue disorders, not elsewhere classified\n",
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"51.3: K91 Postprocedural disorders of digestive system, not elsewhere classified\n",
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"51.3: B37 Candidiasis\n",
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"51.4: E22 Hyperfunction of pituitary gland\n",
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"51.6: N85 Other noninflammatory disorders of uterus, except cervix\n",
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"51.7: G93 Other disorders of brain\n",
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"51.7: K59 Other functional intestinal disorders\n",
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"51.9: B96 Other bacterial agents as the cause of diseases classified to other chapters\n",
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"51.9: E03 Other hypothyroidism\n",
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"52.1: F32 Depressive episode\n",
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"52.2: I47 Paroxysmal tachycardia\n",
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"52.2: J90 Pleural effusion, not elsewhere classified\n",
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"52.4: J96 Respiratory failure, not elsewhere classified\n",
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"52.4: J18 Pneumonia, organism unspecified\n",
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"52.4: E86 Volume depletion\n",
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"52.4: G31 Other degenerative diseases of nervous system, not elsewhere classified\n",
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"52.5: B59 Pneumocystosis\n",
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"52.6: Death\n"
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]
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}
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],
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"source": [
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"max_new_tokens = 100\n",
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"\n",
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"name_to_token_id = {row[1]['name']: row[1]['index'] for row in delphi_labels.iterrows()}\n",
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"\n",
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"events = [name_to_token_id[event[0]] for event in example_health_trajectory]\n",
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"events = torch.tensor(events, device=device).unsqueeze(0)\n",
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"ages = [event[1] for event in example_health_trajectory]\n",
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"ages = torch.tensor(ages, device=device).unsqueeze(0)\n",
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"\n",
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"res = []\n",
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"with torch.no_grad():\n",
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" y,b,_ = model.generate(events, ages, max_new_tokens, termination_tokens=[1269])\n",
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" # Convert model outputs to readable format\n",
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" events_data = zip(y.cpu().numpy().flatten(), b.cpu().numpy().flatten()/365.)\n",
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" \n",
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" print('Input trajectory:')\n",
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" for i, (event_id, age_years) in enumerate(events_data):\n",
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" if i == len(example_health_trajectory):\n",
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" print('=====================')\n",
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" print('Generated trajectory:')\n",
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" event_name = delphi_labels.loc[event_id, 'name']\n",
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" print(f\"{age_years:2.1f}: {event_name}\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"id": "0b937d75",
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"metadata": {},
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"outputs": [],
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"source": [
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"from utils import PatientEventDataset, get_batch\n",
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"train_data_path = 'ukb_real_train.bin'\n",
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"val_data_path = 'ukb_real_val.bin'\n",
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"train_data_arr = np.memmap(train_data_path, dtype=np.uint32, mode='r').reshape(-1, 3)\n",
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"val_data_arr = np.memmap(val_data_path, dtype=np.uint32, mode='r').reshape(-1, 3)\n",
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"block_length = 128\n",
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"train_dataset = PatientEventDataset(train_data_arr, block_length)\n",
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"val_dataset = PatientEventDataset(val_data_arr, block_length)\n",
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"dataset_subset_size = 2048"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"id": "6a3bb2dc",
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"metadata": {},
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"outputs": [],
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"source": [
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"input_events, input_times, target_events, target_times = get_batch(val_dataset, slice(256))\n",
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"with torch.no_grad():\n",
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" p = model(input_events.to(device), input_times.to(device))\n",
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" p = p.cpu().detach().numpy().squeeze()\n",
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"t = (target_times-input_times).cpu().numpy().squeeze()\n",
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"target_events = target_events.cpu().numpy().squeeze()\n",
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"ignored_token_ids = [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]\n",
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"mask = ~np.isin(target_events, ignored_token_ids)\n",
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"p = p[mask]\n",
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"t = t[mask]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "1c32bd6e",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
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"text/plain": [
|
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"<Figure size 288x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"from scipy.special import logsumexp\n",
|
|
"\n",
|
|
"# Calculate expected waiting times from model predictions using competing exponentials theory\n",
|
|
"# In Delphi's framework, each possible event has an exponential distribution with rate λᵢ = exp(logits[i])\n",
|
|
"# The expected time until any event occurs is 1/sum(λᵢ) = 1/exp(logsumexp(logits))\n",
|
|
"# logsumexp provides numerical stability vs. calculating exp(logits) directly\n",
|
|
"\n",
|
|
"# Let's see how the predicted waiting times compare to the observed waiting times\n",
|
|
"\n",
|
|
"plt.figure(figsize=(4, 4))\n",
|
|
"# Calculate expected time to next token (inverse of hazard rate)\n",
|
|
"expected_t = 1/np.exp(logsumexp(p, axis=-1))\n",
|
|
"\n",
|
|
"# Define bin width for logarithmic binning\n",
|
|
"delta_log_t = 0.1\n",
|
|
"log_range = np.arange(1.75, 4, delta_log_t)\n",
|
|
"\n",
|
|
"# Calculate average observed time for each logarithmic bin\n",
|
|
"observed_t = []\n",
|
|
"for i in log_range:\n",
|
|
" # Create mask for current bin and valid times\n",
|
|
" bin_mask = (expected_t > 10**i) & (expected_t <= 10**(i+delta_log_t)) & (t > 0)\n",
|
|
" # Calculate mean for this bin\n",
|
|
" bin_mean = t[bin_mask].mean() if bin_mask.sum() > 0 else np.nan\n",
|
|
" observed_t.append(bin_mean)\n",
|
|
"plt.axes().set_aspect('equal')\n",
|
|
"plt.scatter(expected_t, t+0.5, marker=\".\", c='lightgrey', rasterized=True)\n",
|
|
"plt.xlabel('Expected days to next token')\n",
|
|
"plt.ylabel('Observed days to next token')\n",
|
|
"plt.plot(10**(np.arange(1.75,4,delta_log_t)+delta_log_t/2.),observed_t, label='average')\n",
|
|
"plt.yscale('log')\n",
|
|
"plt.xscale('log')\n",
|
|
"plt.legend()\n",
|
|
"plt.xlim(1,2e3)\n",
|
|
"plt.ylim(1,2e3)\n",
|
|
"plt.plot([0,1],[0,1], transform = plt.gca().transAxes, c='k' , ls=(0, (5, 5)), linewidth=0.7)\n",
|
|
"\n",
|
|
"plt.gca().tick_params(length=1.15, width=0.3, labelsize=8, grid_alpha=1, grid_linewidth=0.45, grid_linestyle=':')\n",
|
|
"plt.gca().tick_params(length=1.15, width=0.3, labelsize=8, grid_alpha=0.0, grid_linewidth=0.35, which='minor')\n",
|
|
"plt.savefig(f'results_{model_name}/fig_expected_vs_observed_waiting_times.png', dpi=600)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "4e5e3c8f",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 504x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"auc_df = pd.read_parquet(f'results_{model_name}/df_both.parquet')\n",
|
|
"plt.figure(figsize=(7, 4))\n",
|
|
"plt.scatter(auc_df['count'], auc_df['auc'], \n",
|
|
" c=auc_df['color'], s=24, edgecolor='white', linewidth=0.65)\n",
|
|
"plt.axhline(0.5, color='k', linestyle='--', linewidth=0.75)\n",
|
|
"plt.title('AUC vs number of tokens in training set')\n",
|
|
"plt.xscale('log')\n",
|
|
"plt.ylim(0, 1.05)\n",
|
|
"plt.xlabel('Number of tokens in training set')\n",
|
|
"plt.ylabel('AUC')\n",
|
|
"plt.savefig(f'results_{model_name}/fig_auc_vs_data_size.png', dpi=600)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "22ff1f44",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 576x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import numpy as np\n",
|
|
"import matplotlib.patches as mpatches\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"chapters = auc_df['ICD-10 Chapter (short)'].unique()\n",
|
|
"chapter_data = {}\n",
|
|
"\n",
|
|
"for chapter in chapters:\n",
|
|
" if chapter not in ['Technical', 'Sex', 'Smoking, Alcohol and BMI']: # Skip non-disease chapters\n",
|
|
" chapter_data[chapter] = auc_df[auc_df['ICD-10 Chapter (short)'] == chapter]['auc'].values\n",
|
|
"\n",
|
|
"fig, ax = plt.subplots(figsize=(8, 5))\n",
|
|
"\n",
|
|
"chapter_colors = {}\n",
|
|
"for chapter in chapter_data.keys():\n",
|
|
" chapter_rows = auc_df[auc_df['ICD-10 Chapter (short)'] == chapter]\n",
|
|
" chapter_colors[chapter] = chapter_rows['color'].iloc[0]\n",
|
|
"\n",
|
|
"positions = np.arange(1, len(chapter_data) + 1)\n",
|
|
"boxplots = []\n",
|
|
"\n",
|
|
"for i, (chapter, values) in enumerate(chapter_data.items()):\n",
|
|
" bp = ax.boxplot(values, positions=[positions[i]], patch_artist=True, \n",
|
|
" widths=0.6, whis=[2.5, 97.5], showfliers=True, \n",
|
|
" boxprops={'linewidth': 1.25, 'facecolor': chapter_colors[chapter], \n",
|
|
" 'edgecolor': chapter_colors[chapter]},\n",
|
|
" medianprops={'color': 'black', 'linewidth': 1.5},\n",
|
|
" whiskerprops={'color': 'gray', 'linewidth': 1},\n",
|
|
" capprops={'color': 'gray', 'linewidth': 1},\n",
|
|
" flierprops={'marker': 'x', 'markerfacecolor': 'none', \n",
|
|
" 'markeredgecolor': 'black', 'markersize': 3, 'alpha': 0.3})\n",
|
|
"\n",
|
|
" boxplots.append(bp)\n",
|
|
"\n",
|
|
"ax.set_xticks(positions)\n",
|
|
"ax.set_xticklabels([chapter for chapter in chapter_data.keys()], rotation=45, ha='right')\n",
|
|
"\n",
|
|
"ax.set_ylim(0, 1.025)\n",
|
|
"ax.axhline(0.5, color='black', linestyle='--', linewidth=0.75)\n",
|
|
"\n",
|
|
"ax.yaxis.grid(True, linestyle='--', alpha=0.7)\n",
|
|
"ax.set_axisbelow(True)\n",
|
|
"\n",
|
|
"ax.set_ylabel('AUC')\n",
|
|
"ax.set_xlabel('ICD-10 chapter')\n",
|
|
"ax.set_title('AUC, grouped by ICD-10 chapter', y=1.05)\n",
|
|
"\n",
|
|
"plt.tight_layout()\n",
|
|
"plt.grid(axis='x', visible=False)\n",
|
|
"plt.savefig(f'results_{model_name}/fig_auc_by_icd10_chapter.png', dpi=600)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "e90e7cbf",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "NameError",
|
|
"evalue": "name 'df_auc_all_diseases' is not defined",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"\u001b[31m---------------------------------------------------------------------------\u001b[39m",
|
|
"\u001b[31mNameError\u001b[39m Traceback (most recent call last)",
|
|
"\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[11]\u001b[39m\u001b[32m, line 1\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m1\u001b[39m \u001b[43mdf_auc_all_diseases\u001b[49m\n",
|
|
"\u001b[31mNameError\u001b[39m: name 'df_auc_all_diseases' is not defined"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"df_auc_all_diseases"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "base",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
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