A novel computational scheme for low multi-linear rank approximations of tensors

被引:0
|
作者
Shekhawat, Hanumant Singh [1 ]
Weiland, Siep [2 ]
机构
[1] Indian Inst Technol Guwahati, Dept Elect & Elect Engn, Gauhati, India
[2] Eindhoven Univ Technol, Dept Elect Engn, Eindhoven, Netherlands
关键词
Tensor decompositions; Jacobi iterations; singular value decompositions; DECOMPOSITIONS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Multi-linear functionals are generally known as tensors and provide a natural object of study in multi-dimensional signal and system analysis. Tensor approximation has various applications in signal processing and system theory. In this paper, we show the local convergence of a numerical method for multi-linear rank tensor approximation that is based on Jacobi iterations.
引用
收藏
页码:3003 / 3008
页数:6
相关论文
共 50 条
  • [31] OPTIMAL LOW-RANK APPROXIMATIONS OF BAYESIAN LINEAR INVERSE PROBLEMS
    Spantini, Alessio
    Solonen, Antti
    Cui, Tiangang
    Martin, James
    Tenorio, Luis
    Marzouk, Youssef
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 37 (06): : A2451 - A2487
  • [32] A new ( I + P) )-like preconditioner for the SOR method for solving multi-linear systems with M-tensors
    Hasanpour, Afsaneh
    Mojarrab, Maryam
    JOURNAL OF MATHEMATICAL MODELING, 2024, 12 (01): : 131 - 144
  • [33] INTERVAL MULTI-LINEAR SYSTEMS FOR TENSORS IN THE MAX-PLUS ALGEBRA AND THEIR APPLICATION IN SOLVING THE JOB SHOP PROBLEM
    Khaleghzade, Sedighe
    Zangiabadi, Mostafa
    Peperko, Aljosa
    Hajarian, Masoud
    KYBERNETIKA, 2022, 58 (05) : 708 - 732
  • [34] Multi-Way Compressed Sensing for Sparse Low-Rank Tensors
    Sidiropoulos, Nicholas D.
    Kyrillidis, Anastasios
    IEEE SIGNAL PROCESSING LETTERS, 2012, 19 (11) : 757 - 760
  • [35] Compact video content representation for video coding using low multi-linear tensor rank approximation with dynamic core tensor order
    Suganya A
    Dejey Dharma
    Computational and Applied Mathematics, 2018, 37 : 3708 - 3725
  • [36] Compact video content representation for video coding using low multi-linear tensor rank approximation with dynamic core tensor order
    Suganya, A.
    Dharma, Dejey
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 3708 - 3725
  • [37] A NOVEL TEXTURE-BASED MULTI-LINEAR ANALYSIS ALGORITHM FOR FACE RECOGNITION
    Lu, Huchuan
    Wang, Dong
    Chen, Yen-Wei
    Chen, Hao
    INTERNATIONAL JOURNAL OF IMAGE AND GRAPHICS, 2011, 11 (04) : 495 - 508
  • [38] Novel topologies of Multi-Linear Silicon Drift Detectors for position sensing with energy discrimination
    Castoldi, A.
    Guazzoni, C.
    Mezza, D.
    Montemurro, G. V.
    Hartmann, R.
    Strueder, L.
    2012 IEEE NUCLEAR SCIENCE SYMPOSIUM AND MEDICAL IMAGING CONFERENCE RECORD (NSS/MIC), 2012, : 1957 - 1962
  • [39] Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations
    Shenglong Hu
    Ke Ye
    Mathematical Programming, 2023, 199 : 1305 - 1364
  • [40] Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations
    Hu, Shenglong
    Ye, Ke
    MATHEMATICAL PROGRAMMING, 2023, 199 (1-2) : 1305 - 1364