Ultra-sparse Matrix Normal
Models of Multiway Data
Professor Alfred Hero
John H. Holland Distinguished University Professor of Electrical
Engineering and Computer Science, University of Michigan
R. Jamison and Betty Williams Professor of Engineering, University
of Michigan
Biography:
Alfred Hero is the John H. Holland Distinguished University Professor of Electrical
Engineering and Computer Science and the R. Jamison and Betty Williams
Professor of Engineering at the University of Michigan, Ann Arbor. He is a Fellow of
the Institute of Electrical and Electronics Engineers (IEEE) and the Society for
Industrial and Applied Mathematics (SIAM). He is a recipient of the Fourier Award in
Signal Processing from the IEEE. He is a Section Editor of the SIAM Journal on
Mathematics of Data Science and a Senior Editor of the IEEE Journal on Selected
Topics in Signal Processing.
3 February 2021 (Wednesday)
(Original scheduled on 16 December 2020)
Time:
10:00-11:00 a.m. GMT+8 (Hong Kong Time)
Venue:
Online via Zoom (Meeting ID: 935 8469 3865)
Abstract
Modeling multi-way data is important for applications involving multi-indexed
observables, e.g., hyperpsectral data that is indexed over spatial, frequency, and
temporal dimensions. The sparse matrix normal model is a multivariate Gaussian
representation that expresses the covariance matrix as a Kronecker product of sparse
lower dimensional covariances. This model is equivalent to assuming the conditional
dependencies of the covariates can be represented as a direct-product graph with few
edges. We will present an alternative framework based on Cartesian product
graph representation and Kronecker sums that leads to ultra-sparse and generative
models for multi-way data.