New Results on Tensor Computation: Completion, Decomposition, and Invariance Properties

      Department of Systems Engineering and Engineering Management
                             The Chinese University of Hong Kong
New Results on Tensor Computation: Completion, Decomposition, and Invariance Properties
Shuzhong Zhang
Department of Industrial and Systems Engineering
University of Minnesota
This talk will touch upon two topics in tensor computations. The first one relates to a new matricization approach, resulting in lower and upper approximations for the CP-rank. In this part, theoretical properties of the new ranks (to be called the M-ranks) will be discussed, with applications to solve the low CP-rank tensor completion problem. The second topic establishes the equivalence between a tensor and its Tucker core, in terms of the CP-rank, the Schatten norms, and the Z-eigenvalues of tensors. A new computational scheme is proposed based on the invariance properties. This talk is based on the joint research with Bo Jiang, Shiqian Ma, and Fan Yang. 
Shuzhong Zhang is Professor and Head of Department of Industrial and System Engineering, University of Minnesota. He received a B.Sc. degree in Applied Mathematics from Fudan University in 1984, and a Ph.D degree in Operations Research and Econometrics from the Tinbergen Institute, Erasmus University, in 1991. He had held faculty positions at Department of Econometrics, University of Groningen (1991-1993), and Econometric Institute, Erasmus University (1993-1999), and Department of Systems Engineering & Engineering Management, the Chinese University of Hong Kong (1999-2010). He received the Erasmus University Research Prize in 1999, the CUHK Vice-Chancellor Exemplary Teaching Award in 2001, the SIAM Outstanding Paper Prize in 2003, the IEEE Signal Processing Society Best Paper Award in 2010, and the 2015 SPS Signal Processing Magazine Best Paper Award. Dr. Zhang was an elected Council Member at Large of the MPS (Mathematical Programming Society) (2006-2009), and served as Vice-President of the Operations Research Society of China (ORSC) (2008-2012). He serves on the Editorial Board of several academic journals, including Operations Research, and Management Science.
This seminar is hosted by prof Ma Shiqian.
Venue: Room 513,
      William M.W. Mong Engineering Building (ERB),
      (Engineering Building Complex Phase 2)
      The Chinese University of Hong Kong.
Friday, May 27, 2016 - 08:30 to 09:30