More Problems

• Write a program to implement the k-nearest neighbors algorithm using matrices for distance calculations.
• Write a program to calculate the Mutual Information between two random variables using matrices.
• Write a program to compute the information gain from a matrix of feature values.
• Write a program to check for linear independence of rows in a matrix.
• Write a program to check for linear independence of columns in a matrix.
• Write a program to implement the random projection method for dimensionality reduction.
• Write a program to compute the spectral clustering of a graph using the eigenvalues of its Laplacian matrix.
• Write a program to calculate the Shannon entropy of a distribution represented by a matrix.