2013/10/08 by Eugene Vecharynski, Yousef Saad, Vecharynski, Eugene +1 · 1 citation
Computer Science · #Algorithms and Data Compression #FOS: Mathematics #Neural Networks and Applications #Numerical Analysis (math.NA) #Topic Modeling
paper · pdf · doi:10.48550/arxiv.1310.2008
openalex publication_date 2013/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper discusses a few algorithms for updating the approximate Singular Value Decomposition (SVD) in the context of information retrieval by Latent Semantic Indexing (LSI) methods. A unifying framework is considered which is based on Rayleigh-Ritz projection methods. First, a Rayleigh-Ritz approach for the SVD is discussed and it is then used to interpret the Zha--Simon algorithms [SIAM J. Scient. Comput. vol. 21 (1999), pp. 782-791]. This viewpoint leads to a few alternatives whose goal is to reduce computational cost and storage requirement by projection techniques that utilize subspaces of much smaller dimension. Numerical experiments show that the proposed algorithms yield accuracies comparable to those obtained from standard ones at a much lower computational cost.