Dynamical System Learning via Neural Networks

Speaker: Zhongshu Xu (OSU) Dates: 2023/02/09 Abstract: This talk will briefly review Prof Dongbin Xiu’s work on dynamical system learning and Neural Networks. First, I will discuss the connection between Euler forward scheme and ResNet, and why multi-step ResNet can…

Butterfly Factorization and Butterfly-Net: from Numerical Linear Algebra to Machine Learning

Speaker: Zhongshu Xu (OSU) Dates: 2022/10/06 Abstract: Butterfly Factorization is a data-sparse nearly optimal approximation for the discrete Fourier Integral Operator (FIO) matrices. It is constructed based on interpolative low-rank approximations of the complementary low-rank matrix. For an N √óN…