This repository holds my completed Octave/Matlab code for the exercises in the course.

Files for building functions that:

• Explore data using scatter plots.
• Implement Gradient Descent using an appropriate Cost Function.
• Implement Gradient Descent using the closed-from normal equation.
• Normalise features to enhance Gradient Descent's convergence.
• Use multivariate linear regression to make out-of-sample predictions.

Files for building functions that:

• Implement Gradient Descent on an appropriate cost function.
• Explore and discover appropriate weights with-which to regularise the Logistic Regression.
• Implement a regularized version of Logistic Regression by using a modified cost function.
• Deploy and use Logistic Regression to make out-of-sample predictions.

Files for building functions that:

• Build multi-class classifier composed of multiple linear regressions.
• Transform the data using a sigmoid link function to produce logistic regression.
• Deploy the "One vs. All" method to classify handwritten digits and make out-of-sample classifications.
• Build a Feed-forward neural network with three layers.
• Train the neural network weights and biases on hand-written digits, storing the weights in a matrix.
• Use the network to classify out-of-sample digits.

• Implement a Feed-forward Neural Network using backprpagation from scratch to classify hand-written digits.
• Use Finite-Differences method for Gradient Checking.
• Enhance Neural Network performance and avoid over-fitting by implementing regularization.

• Train a regularized linear regression to forecast water flow over a dam using various proportions of the training data.
• Plot the learning and validation curves to evaluate and debug the model's performance on the training and cross-validation sets.
• Compute and normalize polynomial features to experiment with polynomial regressions of various degrees, d, and use the cross-validation set to determine which value of d produces the optimal trade-off between bias and variance.
• Experiment with multiple regularization parameters, lambda, and plot the learning and validation curves to determine which value produces the optimal bias-variance trade-off.
• Compute and plot test-set error against cross-validation error to determine how well selected values of lambda and d generalize.

• Train a linear support vector machine (SVM) on a 2-dimensional example dataset to separate observations into two classes.
• Experiment with the effect of various values of the regularization term, C, to see how this affects classification accuracy.
• Train a support vector machine with radial-basis function kernel to classify 2-dimensional example dataset.
• Test different regularization values, C, on cross-validation set to determine the optimal "softness" for classifier margins.
• Test different parameter values, sigma, for the rbf-kernel to determine optimal sensitivity of similarity metric to distance between observations.
• After preprocessing email data, create a feature vector with binary entries corresponding to whether each of the most frequently occurring words in our training set occurs in a given email.
• Further transform these features according to the rbf-kernel to acquire feature vectors that are to be used for training SVM.
• Train SVM to classify spam, testing different values of C and sigma on cross-validation set to determine their optimal values.

• Implement the K-means algorithm for image compression by reducing the number of colors that occur in an image to only those that are most common in that image.
• Use principal component analysis (PCA) to perform dimensionality reduction on a dataset of 5000 face images and visualize the result.
• Project 3-Dimensional data into a 2 Dimensionsional feature space using PCA implementation to make visualization less cumbersome.

• Implement a Gaussian density anomaly detection algorithm to detect anomalous behavior in server computers.
• Determine appropriate threshold value by estimating Gaussian densities with various values and comparing their relative performances using the F1-Score on the cross-validation set.
• Use a collaborative filtering algorithm to develop a movie recommender system that uses data on movie ratings by users to discover both features and parameters relevant to the task.
• Train movie recommender system on own movie preferences and ratings to produce appropriate recommendations.