{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "YyREI41Y-UuT"
},
"source": [
"## CS535/EE514 - Spring 2022 - Assignment 5 \n",
"\n",
"\n",
"\n",
"#### Important Instructions and Submission Guidelines:\n",
"- ## Important Instructions and Submission Guidelines:\n",
"- Submit your code both as notebook file (.ipynb) and python script (.py) on LMS. Naming convention for submission of this notebook is `RollNumber_partA_PA5.ipynb` where. For example: `23100042_partA_PA5.ipynb`\n",
"- All the cells must be run once before submission. If your submission's cells are not showing the results (plots etc.), marks wil be deducted\n",
"- Only the code written within this notebook's marked areas will be considered while grading. No other files will be entertained\n",
"- You are advised to follow good programming practies including approriate variable naming and making use of logical comments.\n",
"\n",
"\n",
"The university honor code should be maintained. Any violation, if found, will result in disciplinary action. \n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Bm73jREWNf7J"
},
"source": [
"Often in pratical situations, raw machine learning architecture and code is hidden behind libraries and simplfied toolkits. The purpose of this assignment is to lift that curtain and get you hands-on exprience working with the mathematical fundamentals of neural network architectures. After this, you'll know exactly how a network leverages 'gradient descent' to find optimal solutions and how forward and backward passes are implemented mathematically and in code."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "Hf0nYQPsMXYf"
},
"outputs": [],
"source": [
"rollnumber = None"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "o9WfA6k3Gamc"
},
"source": [
"This is the dataset that we are goint to use. As you can see there are two classes and there is a non-linear relationship between them. We are going to build a Neural Network from scratch to learn this non-linear relationship."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 314
},
"id": "Gmds9e122AG8",
"outputId": "1874ecca-e625-4cde-d54b-11751511d591"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(500, 1) (500, 2)\n"
]
},
{
"data": {
"text/plain": [
"[Text(0.5, 0, 'Feature 1'), Text(0, 0.5, 'Feature 2')]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"