Variational Bayesian Inference for CP Tensor Completion with Subspace Information

被引：0
|
作者：
Budzinskiy, S. [1 ]
Zamarashkin, N. [1 ]
机构：
[1] Russian Acad Sci, Marchuk Inst Numer Math, Moscow 119333, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 08期
基金：
俄罗斯科学基金会;
关键词：
tensor completion; CP decomposition; PARAFAC; Bayesian inference; subspace information; RANK; DECOMPOSITION; FACTORIZATION; PARAFAC;
D O I：
10.1134/S1995080223080103
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose an algorithm for Bayesian low-rank tensor completion with automatic rank determination in the canonical polyadic format when additional subspace information (SI) is given. We numerically validate the regularization properties induced by SI and present the results about tensor recovery and rank determination. The results show that the number of samples required for successful completion is significantly reduced in the presence of SI.
引用
收藏
页码：3016 / 3027
页数：12
相关论文
共 50 条
  • [31] Collective Tensor Completion with Multiple Heterogeneous Side Information
    Chen, Huiyuan
    Li, Jing
    2019 IEEE INTERNATIONAL CONFERENCE ON BIG DATA (BIG DATA), 2019, : 731 - 740
  • [32] Evaluating probabilistic programming and fast variational Bayesian inference in phylogenetics
    Fourment, Mathieu
    Darling, Aaron E.
    PEERJ, 2019, 7
  • [33] Transforms-Based Bayesian Tensor Completion Method for Network Traffic Measurement Data Recovery
    Yang, Zecan
    Yang, Laurence T.
    Yi, Lingzhi
    Deng, Xianjun
    Zhu, Chenlu
    Ruan, Yiheng
    IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING, 2024, 11 (03): : 2497 - 2509
  • [34] Variational Bayesian mixed-effects inference for classification studies
    Brodersen, Kay H.
    Daunizeau, Jean
    Mathys, Christoph
    Chumbley, Justin R.
    Buhmann, Joachim M.
    Stephan, Klaas E.
    NEUROIMAGE, 2013, 76 (01) : 345 - 361
  • [35] Variational Bayesian Inference for Source Separation and Robust Feature Extraction
    Adiloglu, Kamil
    Vincent, Emmanuel
    IEEE-ACM TRANSACTIONS ON AUDIO SPEECH AND LANGUAGE PROCESSING, 2016, 24 (10) : 1746 - 1758
  • [36] Extended Variational Message Passing for Automated Approximate Bayesian Inference
    Akbayrak, Semih
    Bocharov, Ivan
    de Vries, Bert
    ENTROPY, 2021, 23 (07)
  • [37] Prediction of Multidimensional Spatial Variation Data via Bayesian Tensor Completion
    Luan, Jiali
    Zhang, Zheng
    IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2020, 39 (02) : 547 - 551
  • [38] Physically Structured Variational Inference for Bayesian Full Waveform Inversion
    Zhao, Xuebin
    Curtis, Andrew
    JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 2024, 129 (11)
  • [39] Bayesian bin distribution inference and mutual information
    Endres, D
    Földiák, P
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (11) : 3766 - 3779
  • [40] Tensor Completion with Nearly Linear Samples GivenWeak Side Information
    Yu, Christina Lee
    Xi, Xumei
    PROCEEDINGS OF THE ACM ON MEASUREMENT AND ANALYSIS OF COMPUTING SYSTEMS, 2022, 6 (02)
12345