Jun Wang
Professor
Alma Mater:南京航空航天大学
Education Level:南京航空航天大学
Degree:Doctoral Degree in Engineering
School/Department:College of Mechanical and Electrical Engineering
Discipline:Computer Applications Technology
Business Address:A15-509
Contact Information:Email:wjun@nuaa.edu.cn 或 junwang@outlook.com 网站:http://www.3dgp.net/
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Affiliation of Author(s):机电学院
Journal:IEEE TRANSACTIONS ON IMAGE PROCESSING
Key Words:Nonlinear subspace clustering kernel methods block diagonal regularizer nonconvex optimization
Abstract:While current block diagonal constrained subspace clustering methods are performed explicitly on the original data space, in practice, it is often more desirable to embed the block diagonal prior into the reproducing kernel Hilbert feature space by kernelization techniques, as the underlying data structure in reality is usually nonlinear. However, it is still unknown how to carry out the embedding and kernelization in the models with block diagonal constraints. In this paper, we shall take a step in this direction. First, we establish a novel model termed implicit block diagonal low-rank representation (IBDLR), by incorporating the implicit feature representation and block diagonal prior into the prevalent low-rank representation method. Second, mostly important, we show that the model in IBDLR could be kernelized by making use of a smoothed dual representation and the specifics of a proximal gradient-based optimization algorithm. Finally, we provide some theoretical analyses for the convergence of our optimization algorithm. Comprehensive experiments on synthetic and real-world data sets demonstrate the superiorities of our IBDLR over state-of-the-art methods.
ISSN No.:1057-7149
Translation or Not:no
Date of Publication:2018-01-01
Co-author:谢星宇,郭向林,Liu, Guangcan
Correspondence Author:Jun Wang
汪俊,1981年生。南京航空航天大学教授,博士生导师。2007年毕业于南京航空航天大学,获博士学位。2008年至2010年,分别在美国加州大学、美国威斯康星大学从事博士后研究工作;2010年至2013年,在全球著名测量系统公司-徕卡公司(美国硅谷)担任算法研发组长,主持超大规模激光雷达测量数据处理与分析等研发工作;2013年收到菲尔兹奖得主、哈佛大学丘成桐教授邀请,赴哈佛大学开展学术访问与研究合作。2013年10月加入南京航空航天大学,2013年受聘为第四批江苏特聘教授,2014年入选江苏省“双创计划(创新类)”人才,2015年入选“国家重大人才工程A类青年项目”,2019年获得江苏省杰出青年基金项目资助。