勷勤数学•专家报告

题      目：Constrained Quaternion Matrix Factorization with Applications on Image Processing

报  告  人：潘珺珺 研究助理教授  (邀请人：骆其伦)

                                              香港浸会大学        

时      间：3月12日  10：30-11：30

地     点：数科院东楼401

报告人简介:

        潘珺珺博士现为香港浸会大学研究助理教授，其研究兴趣主要集中在数值算法及其在数据科学中的应用，在SIMAX、SISC、SIIMS、TPAMI、Neural Networks等期刊上发表过论文。

摘      要：

       In this talk, we will introduce a simple model for RGB color and polarization images under a unified framework of quaternio n nonnegative matrix factorization (QNMF) and present a hierarchical nonnegative least squares method to solve the facto r matrices. The convergence analysis of the algorithm is discussed as well. We test the proposed method in the polarizatio n image and color facial image representation. Like Nonnegative matrix factorization (NMF), QNMF is generally not unique. Inspired by Separable NMF, this talk will also present a novel low-rank quaternion linear mixing model called separable quaternion matrix factorization designed for pola rized signals. Numerical experiments are given to demonstrate the effectiveness of the methods.

          欢迎老师、同学们参加、交流！