More Problems

• Write a program to implement the dimensionality reduction using Independent Component Analysis (ICA).
• Write a program to compute the joint probability distribution from marginal distributions represented as matrices.
• Write a program to implement the Non-negative Matrix Factorization (NMF) for topic modeling.
• Write a program to calculate the eigenvalues and eigenvectors of a sparse matrix.
• Write a program to implement the Multi-layer Perceptron (MLP) using backpropagation with matrices.
• Write a program to perform optimal transport using the Sinkhorn distance with matrices.
• Write a program to compute the total variation distance between two probability distributions using matrices.
• Write a program to check if a matrix is a valid stochastic matrix and compute its properties.