Fan Tian

collaborators

2 papers

math.NA2025

A tensor-based dynamic mode decomposition based on the $⋆_{M}$ -product

Arvind K. Saibaba, Misha E. Kilmer, Khalil Hall-Hooper +2

Dynamic mode decomposition (DMD) is a data-driven method for estimating the dynamics of a discrete dynamical system. This paper proposes a tensor-based approach to DMD for applicat…

math.NA2024

Tensor BM-Decomposition for Compression and Analysis of Video Data

Fan Tian, Misha E. Kilmer, Eric Miller +1

Given tensors $A, B, C$ of size $m \times 1 \times n$ , $m \times p \times 1$ , and $1 \times p \times n$ , respect…

A tensor-based dynamic mode decomposition based on the ⋆M​-product

Tensor BM-Decomposition for Compression and Analysis of Video Data

A tensor-based dynamic mode decomposition based on the $⋆_{M}$ -product