Outline

• Non-negative Matrix Factorization
• Independent Component analysis
• Archetypal Analysis
• Sparse coding

Factor Analysis and Matrix Decomposition

The Core Concept: Factor analysis and matrix decomposition methods aim to approximate a complex data matrix X as the product of lower-dimensional factors: X ≈ WH. This reveals hidden structures, latent variables, or meaningful representations of the original data.

Non-negative matrix factorization (NMF)