T. Kolda

activity

20242026

collaborators

Showing math.NAShow all

3 papers · 1 filter

math.NA2026

Revisiting Approximate Leverage Score Sketching for Matrix Least Squares

Brett W. Larsen, Tamara G. Kolda

We revisit the problem of sketching using approximate leverage scores for matrix least squares problems of the form $∥ A X - B ∥_{F}^{2}$ where the design matrix $A \in \mathbb{R}^{N…

math.NA2025

The Fascinating World of 2 $\times$ 2 $\times$ 2 Tensors: Its Geometry and Optimization Challenges

Gabriel H. Brown, Joe Kileel, Tamara G. Kolda

This educational article highlights the geometric and algebraic complexities that distinguish tensors from matrices, to supplement coverage in advanced courses on linear algebra, m…

math.NA2024

Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data

Brett W. Larsen, Tamara G. Kolda, Anru R. Zhang +1

The canonical polyadic (CP) tensor decomposition decomposes a multidimensional data array into a sum of outer products of finite-dimensional vectors. Instead, we can replace some o…

Revisiting Approximate Leverage Score Sketching for Matrix Least Squares

The Fascinating World of 2 × 2 × 2 Tensors: Its Geometry and Optimization Challenges

Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data

The Fascinating World of 2 $\times$ 2 $\times$ 2 Tensors: Its Geometry and Optimization Challenges