Exploring Matrix Factorization with Python: A Step-by-Step Tutorial
Matrix factorization is a technique used in linear algebra and data analysis to decompose a matrix into the product of two or more simpler matrices. The goal is to find a low-rank approximation of the original matrix, which can help with various tasks such as dimensionality reduction, data compression, and collaborative filtering.
In the context of collaborative filtering, matrix factorization is commonly used for recommendation systems. The idea is to represent users and items as vectors in a latent space, where the inner product of these vectors predicts the user's preference for a particular item. By factorizing the user-item rating matrix into two lower-dimensional matrices, one representing users and the other representing items, we can estimate missing ratings and make personalized recommendations.
