Adaptive Non-negative Least Squares with Applications to Non-Negative Matrix Factorization

Problems with non-negativity constrains have recently attracted a great deal of interest. Non-negativity constraints arise naturally in many applications, and are often necessary for proper interpretation. Furthermore, these constrains provide an intrinsic sparsity that may be of value in certain situations. Two common problems that have gathered notable attention are the non-negative least squares (NNLS) problem, and the nonnegative matrix factorization (NMF) problem. In this paper, a method to solve the NNLS problem in an adaptive way is discussed. Additionally, possible ways to apply this, and other related method, to adaptive NMF problems are discussed.

Author dc:creator

• Mosesov, Artem

• least squares
• matrix factorization
• NMF
• NNLS
• Nonnegative

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/11299/173949

OAI identifier oai:identifier

oai:conservancy.umn.edu:11299/173949