Create QUIZ_week8_solution.ipynb

Week08/QUIZ_week8_solution.ipynb

+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import math\n",
+    "\n",
+    "x = -120\n",
+    "\n",
+    "# hidden layer with ReLu\n",
+    "h1 = max(-10 - 0.1 * x, 0)\n",
+    "h2 = max(0.15 * x, 0)\n",
+    "\n",
+    "# output layer\n",
+    "y1_hat = 4 + 0.5 * h1\n",
+    "y2_hat = 2.1 * h1 + 0.2 * h2\n",
+    "\n",
+    "# softmax\n",
+    "y1 = math.exp(y1_hat) / (math.exp(y1_hat) + math.exp(y2_hat))\n",
+    "y2 = math.exp(y2_hat) / (math.exp(y1_hat) + math.exp(y2_hat))\n",
+    "\n",
+    "# loss\n",
+    "loss = -math.log(y2) # since we know it belongs to class 2\n",
+    "\n",
+    "# partial derivative, we know that t2 = 1\n",
+    "dLdw22 = h1 * (y1 - 0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "y1 = 0.6899744811276124\n",
+      "loss = 1.1711006659477776\n",
+      "dLdw22 = 1.3799489622552248\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(f'{y1 = }')\n",
+    "print(f'{loss = }')\n",
+    "print(f'{dLdw22 = }')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "aia2023",
+   "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",
+   "version": "3.10.9"
+  },
+  "orig_nbformat": 4
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}