hw3 code

2026-05-14 22:16:57 +00:00 · 2025-03-12 14:10:26 -04:00
parent c0e1fdfbfc
commit 79c41de4a7
4 changed files with 123 additions and 0 deletions
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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## HW3 Problem 3"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "ename": "ModuleNotFoundError",
+     "evalue": "No module named 'numpy'",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[1;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
+      "Cell \u001b[1;32mIn[1], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21;01mnumpy\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21;01mnp\u001b[39;00m\n\u001b[0;32m      2\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21;01mmatplotlib\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mpyplot\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21;01mplt\u001b[39;00m\n\u001b[0;32m      4\u001b[0m \u001b[38;5;66;03m# Baseline parameters\u001b[39;00m\n",
+      "\u001b[1;31mModuleNotFoundError\u001b[0m: No module named 'numpy'"
+     ]
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "# Baseline parameters\n",
+    "a = 2.0\n",
+    "beta = 0.5\n",
+    "tau = 0.5\n",
+    "scale = 1.0\n",
+    "max_time = 10.0\n",
+    "dt = 1e-3\n",
+    "num_sims = 2000\n",
+    "\n",
+    "# Vary drift rate\n",
+    "v_values = np.linspace(0.5, 1.5, 25)\n",
+    "mean_rt_upper = []\n",
+    "mean_rt_lower = []\n",
+    "\n",
+    "for v in v_values:\n",
+    "    data = simulate_diffusion_n(num_sims, v, a, beta, tau, dt, scale, max_time)\n",
+    "    mean_rt_upper.append(data[data[:, 1] == 1, 0].mean())\n",
+    "    mean_rt_lower.append(data[data[:, 1] == 0, 0].mean())\n",
+    "\n",
+    "# Plot results\n",
+    "plt.figure(figsize=(8, 6))\n",
+    "plt.plot(v_values, mean_rt_upper, label='Upper Boundary (Correct)', color='maroon')\n",
+    "plt.plot(v_values, mean_rt_lower, label='Lower Boundary (Incorrect)', color='gray')\n",
+    "plt.xlabel('Drift Rate (v)')\n",
+    "plt.ylabel('Mean Response Time (s)')\n",
+    "plt.legend()\n",
+    "plt.title('Effect of Drift Rate on Mean RTs')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Vary boundary separation (a)\n",
+    "a_values = np.linspace(1.0, 3.0, 25)\n",
+    "mean_rt_upper = []\n",
+    "mean_rt_lower = []\n",
+    "std_rt_upper = []\n",
+    "std_rt_lower = []\n",
+    "\n",
+    "for a in a_values:\n",
+    "    data = simulate_diffusion_n(num_sims, v, a, beta, tau, dt, scale, max_time)\n",
+    "    mean_rt_upper.append(data[data[:, 1] == 1, 0].mean())\n",
+    "    mean_rt_lower.append(data[data[:, 1] == 0, 0].mean())\n",
+    "    std_rt_upper.append(data[data[:, 1] == 1, 0].std())\n",
+    "    std_rt_lower.append(data[data[:, 1] == 0, 0].std())\n",
+    "\n",
+    "# Plot results\n",
+    "plt.figure(figsize=(12, 6))\n",
+    "plt.subplot(1, 2, 1)\n",
+    "plt.plot(a_values, mean_rt_upper, label='Upper Boundary (Correct)', color='maroon')\n",
+    "plt.plot(a_values, mean_rt_lower, label='Lower Boundary (Incorrect)', color='gray')\n",
+    "plt.xlabel('Boundary Separation (a)')\n",
+    "plt.ylabel('Mean Response Time (s)')\n",
+    "plt.legend()\n",
+    "\n",
+    "plt.subplot(1, 2, 2)\n",
+    "plt.plot(a_values, std_rt_upper, label='Upper Boundary (Correct)', color='maroon')\n",
+    "plt.plot(a_values, std_rt_lower, label='Lower Boundary (Incorrect)', color='gray')\n",
+    "plt.xlabel('Boundary Separation (a)')\n",
+    "plt.ylabel('Standard Deviation of RT (s)')\n",
+    "plt.legend()\n",
+    "\n",
+    "plt.suptitle('Effect of Boundary Separation on RT Distributions')\n",
+    "plt.show()"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
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+ "nbformat": 4,
+ "nbformat_minor": 2
+}