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Author:

Fu, Yifan (Fu, Yifan.) | Gao, Junbin (Gao, Junbin.) | Sun, Yanfeng (Sun, Yanfeng.) (Scholars:孙艳丰) | Hong, Xia (Hong, Xia.)

Indexed by:

EI Scopus

Abstract:

Traditional dictionary learning algorithms are used for finding a sparse representation on high dimensional data by transforming samples into a one-dimensional (ID) vector. This ID model loses the inherent spatial structure property of data. An alternative solution is to employ Tensor Decomposition for dictionary learning on their original structural form a tensor by learning multiple dictionaries along each mode and the corresponding sparse representation in respect to the Kronecker product of these dictionaries. To learn tensor dictionaries along each mode, all the existing methods update each dictionary iteratively in an alternating manner. Because atoms from each mode dictionary jointly make contributions to the spar sity of tensor, existing works ignore atoms correlations between different mode dictionaries by treating each mode dictionary independently. In this paper, we propose a joint multiple dictionary learning method for tensor sparse coding, which explores atom correlations for sparse representation and updates multiple atoms from each mode dictionary simultaneously. In this algorithm, the Frequent-Pattern Tree (FP-tree) mining algorithm is employed to exploit frequent atom patterns in the sparse representation. Inspired by the idea of K-SVD, we develop a new dictionary update method that jointly updates elements in each pattern. Experimental results demonstrate our method outperforms other tensor based dictionary learning algorithms. © 2014 IEEE.

Keyword:

Learning algorithms Iterative methods Atoms Metadata Clustering algorithms Tensors Codes (symbols) Learning systems Trees (mathematics)

Author Community:

  • [ 1 ] [Fu, Yifan]School of Computing and Mathematics, Charles Sturt University, Bathurst; NSW; 2795, Australia
  • [ 2 ] [Gao, Junbin]School of Computing and Mathematics, Charles Sturt University, Bathurst; NSW; 2795, Australia
  • [ 3 ] [Sun, Yanfeng]Beijing Municipal Key Lab of Multimedia and Intelligent Software Technology, Beijing University of Technology, Beijing; 100124, China
  • [ 4 ] [Hong, Xia]School of Systems Engineering University of Reading, Reading; RG6 6AY, United Kingdom

Reprint Author's Address:

  • [fu, yifan]school of computing and mathematics, charles sturt university, bathurst; nsw; 2795, australia

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Source :

Year: 2014

Page: 2957-2964

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 11

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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