The secret life of matrix factorizations: how matrix decompositions reveal and keep secrets of linear equations and what we can do about it.
Michal P. KarpowiczPublished in: CoRR (2023)
Keyphrases
- linear equations
- matrix factorization
- factorization methods
- low rank
- data matrix
- factorization method
- matrix multiplication
- collaborative filtering
- factor matrices
- rows and columns
- singular value decomposition
- tensor factorization
- negative matrix factorization
- binary matrix
- nonnegative matrix factorization
- missing data
- recommender systems
- linear systems
- gauss seidel method
- simultaneous clustering
- latent factors
- complex valued
- stochastic gradient descent
- sparsity constraints
- message passing
- data representation
- singular values