27th Conference of the International Linear Algebra Society (ILAS 2026)

POD-DEIM in the starM-product framework

May 19, 2026, 4:35 PM

25m

Torgersen Hall 1060 (Virginia Tech)

Minisymposium Talk Recent Advances in Tensor Decompositions for Model and Data Reduction Recent Advances in Tensor Decompositions for Model and Data Reduction

Speaker

Vishwas Rao

Description

We propose using the starM tensor product framework for constructing Proper Orthogonal Decomposition (POD) and Discrete Empirical Interpolation Method (DEIM) reduced order models. By exploiting the inherent multidimensional relationship structure of snapshot data, the approach enables efficient computation of the reduced bases. Operating directly on tensor representations reduces storage and computational costs while maintaining accuracy of the full-order dynamics compared to the more standard vector/matrix based methods. The resulting *M POD–DEIM models are well suited for large-scale, high-dimensional systems, and we demonstrate it on a number of different test problems.