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math.NA2025
Convergence of the alternating least squares algorithm for CP tensor decompositions
Nicholas Hu, Mark A. Iwen, Deanna Needell +1
The alternating least squares (ALS/AltLS) method is a widely used algorithm for computing the CP decomposition of a tensor. However, its convergence theory is still incompletely un…
math.NA2025
Curvature Corrected Nonnegative Manifold Data Factorization
Joyce Chew, Willem Diepeveen, Deanna Needell
Data with underlying nonlinear structure are collected across numerous application domains, necessitating new data processing and analysis methods adapted to nonlinear domain struc…
math.NA2019
Lower Memory Oblivious (Tensor) Subspace Embeddings with Fewer Random Bits: Modewise Methods for Least Squares
M. A. Iwen, D. Needell, E. Rebrova +1
In this paper new general modewise Johnson-Lindenstrauss (JL) subspace embeddings are proposed that are both considerably faster to generate and easier to store than traditional JL…