From 5de46cc713268ef1bdbb1a0fbab2a6f5841375c5 Mon Sep 17 00:00:00 2001 From: David Doebel Date: Sun, 22 Mar 2026 15:58:12 +0100 Subject: [PATCH] Add Network Modeling Assignment 1 notes --- IML Projects/Task 1b /Task 1b.pdf | Bin 0 -> 77700 bytes .../Task 1b /task1b_ql4jfi6af0/results.csv | 21 + .../Task 1b /task1b_ql4jfi6af0/sample.csv | 21 + .../task1b_ql4jfi6af0/template_solution.ipynb | 253 +++++++ .../task1b_ql4jfi6af0/template_solution.py | 69 ++ .../Task 1b /task1b_ql4jfi6af0/train.csv | 701 ++++++++++++++++++ .../Assignment1/Assignment1.pdf | Bin 0 -> 54642 bytes .../Assignment1/Lintner/01_W1.csv | 25 + .../Assignment1/Lintner/01_W2.csv | 25 + .../Assignment1/Lintner/02_W1.csv | 27 + .../Assignment1/Lintner/02_W2.csv | 27 + .../Assignment1/Lintner/03_W1.csv | 24 + .../Assignment1/Lintner/03_W2.csv | 24 + .../Assignment1/Lintner/04_W1.csv | 25 + .../Assignment1/Lintner/04_W2.csv | 25 + .../Assignment1/Lintner/05_W1.csv | 27 + .../Assignment1/Lintner/05_W2.csv | 27 + 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replace=False)\n", + " X_random = X_transformed[selection,:]\n", + " update = learning_rate * gradient(weights, X_random, y[selection])\n", + " weights -= update\n", + "\n", + "assert weights.shape == (21,)" + ], + "outputs": [], + "execution_count": 33 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-03-15T18:22:13.630314Z", + "start_time": "2026-03-15T18:22:13.629075Z" + } + }, + "cell_type": "code", + "source": "", + "outputs": [], + "execution_count": null + }, + { + "cell_type": "code", + "metadata": { + "ExecuteTime": { + "end_time": "2026-03-15T18:22:13.636358Z", + "start_time": "2026-03-15T18:22:13.633885Z" + } + }, + "source": [ + "# Save results in the required format\n", + "np.savetxt(\"./results.csv\", weights, fmt=\"%.12f\")" + ], + "outputs": [], + "execution_count": 34 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-03-15T18:22:13.643898Z", + "start_time": "2026-03-15T18:22:13.641041Z" + } + }, + "cell_type": "code", + "source": [ + "matrix = np.array([[1,2],[3,4],[5,6],[7,8],[9,10]])\n", + "np.linalg.svd(X_transformed,compute_uv=False)\n", + "matrix[np.random.choice(matrix.shape[0], 1, replace=False), :]" + ], + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 2]])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 35 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-03-15T18:22:13.707327Z", + "start_time": "2026-03-15T18:22:13.706165Z" + } + }, + "cell_type": "code", + "source": "", + "outputs": [], + "execution_count": null + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/IML Projects/Task 1b /task1b_ql4jfi6af0/template_solution.py b/IML Projects/Task 1b /task1b_ql4jfi6af0/template_solution.py new file mode 100644 index 0000000..0b4e759 --- /dev/null +++ b/IML Projects/Task 1b /task1b_ql4jfi6af0/template_solution.py @@ -0,0 +1,69 @@ +# This serves as a template which will guide you through the implementation of this task. It is advised +# to first read the whole template and get a sense of the overall structure of the code before trying to fill in any of the TODO gaps. +# First, we import necessary libraries: +import numpy as np +import pandas as pd + +# Add any additional imports here (however, the task is solvable without using +# any additional imports) +# import ... + +def transform_features(X): + """ + This function transforms the 5 input features of matrix X (x_i denoting the i-th component in a given row of X) + into 21 new features phi(X) in the following manner: + 5 linear features: phi_1(X) = x_1, phi_2(X) = x_2, phi_3(X) = x_3, phi_4(X) = x_4, phi_5(X) = x_5 + 5 quadratic features: phi_6(X) = x_1^2, phi_7(X) = x_2^2, phi_8(X) = x_3^2, phi_9(X) = x_4^2, phi_10(X) = x_5^2 + 5 exponential features: phi_11(X) = exp(x_1), phi_12(X) = exp(x_2), phi_13(X) = exp(x_3), phi_14(X) = exp(x_4), phi_15(X) = exp(x_5) + 5 cosine features: phi_16(X) = cos(x_1), phi_17(X) = cos(x_2), phi_18(X) = cos(x_3), phi_19(X) = cos(x_4), phi_20(X) = cos(x_5) + 1 constant feature: phi_21(X)=1 + + Parameters + ---------- + X: matrix of floats, dim = (700,5), inputs with 5 features + + Returns + ---------- + X_transformed: matrix of floats: dim = (700,21), transformed input with 21 features + """ + X_transformed = np.zeros((700, 21)) + # TODO: Enter your code here + assert X_transformed.shape == (700, 21) + return X_transformed + + +def fit_logistic_regression(X, y): + """ + This function receives training data points, transforms them, and then fits the logistic regression on this + transformed data. Finally, it outputs the weights of the fitted logistic regression. + + Parameters + ---------- + X: matrix of floats, dim = (700,5), inputs with 5 features + y: array of integers \in {0,1}, dim = (700,), input labels + + Returns + ---------- + weights: array of floats: dim = (21,), optimal parameters of logistic regression + """ + weights = np.zeros((21,)) + X_transformed = transform_features(X) + # TODO: Enter your code here + assert weights.shape == (21,) + return weights + + +# Main function. 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