Seminar - Shuzhong Zhang

Recent Results on Tensor and Polynomial Optimization

Abstract

Tensor/polynomial optimization is a relatively new and active area of research in optimization. In this talk we shall present some new results on the computational models in tensor and polynomial optimization. We will discuss the so-called tensor PCA (Principal Component Analysis) problem, which has found wide applications in Magnetic Resonance Imaging (MRI), radar signal processing, DNA expression data completion, video image data recovery, and so on. Other tensor optimization models include low tensor) rank approximation. Computational methods for solving the resulting non-convex optimization models will be discussed.