3 papers
math.NA2026
Transform-Based Multilinear Algebra via Tensor Decomposition
Yidan Mei, Shenghan Mei, Ziqin He +1
Transform-based tensor products, including the T-product and its more general form, namely the higher-order tensor-tensor product, have become fundamental tools for multilinear dat…
math.NA2025
Quadratic Formula-based Nonlinear Approximation
Ziqin He, Can Chen, Min Hyung Cho +2
This paper presents a quadratic formula-based nonlinear representation for a given single-variable function f(x), . First, we construct the explicit polynomial co…
eess.SY2025
Tensor Dynamic Mode Decomposition
Ziqin He, Mengqi Hu, Yifei Lou +1
Dynamic mode decomposition (DMD) has become a powerful data-driven method for analyzing the spatiotemporal dynamics of complex, high-dimensional systems. However, conventional DMD…