3 papers
math.NA2026
Jordan algebras, hemiplex numbers, and the Cholesky decomposition of arbitrary symmetric matrices
Alan Edelman, Timothy E. Holy
Positive-semidefinite matrices are most efficiently factored using the Cholesky decomposition. For indefinite matrices, the Cholesky factorization does not exist, and the alternati…
cs.LG2025
GSVD-NMF: Recovering Missing Features in Non-negative Matrix Factorization
Youdong Guo, Timothy E. Holy
Non-negative matrix factorization (NMF) is an important tool in signal processing and widely used to separate mixed sources into their components. Algorithms for NMF require that t…
cs.LG2024
An optimal pairwise merge algorithm improves the quality and consistency of nonnegative matrix factorization
Youdong Guo, Timothy E. Holy
Non-negative matrix factorization (NMF) is a key technique for feature extraction and widely used in source separation. However, existing algorithms may converge to poor local mini…