A variational approach to robust regression

被引:0
|
作者
Faul, AC [1 ]
Tipping, ME [1 ]
机构
[1] Microsoft Res, Cambridge, England
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We consider the problem of regression estimation within a Bayesian framework for models linear in the parameters and where the target variables are contaminated by 'outliers'. We introduce an explicit distribution to explain outlying observations, and utilise a variational approximation to realise a practical inference strategy.
引用
收藏
页码:95 / 102
页数:8
相关论文
共 50 条
  • [1] An Adaptive and Robust UKF Approach Based on Gaussian Process Regression-Aided Variational Bayesian
    Lyu, Xu
    Hu, Baiqing
    Li, Kailong
    Chang, Lubin
    [J]. IEEE SENSORS JOURNAL, 2021, 21 (07) : 9500 - 9514
  • [2] A variational approach to robust Bayesian interpolation
    Tipping, ME
    Lawrence, ND
    [J]. 2003 IEEE XIII WORKSHOP ON NEURAL NETWORKS FOR SIGNAL PROCESSING - NNSP'03, 2003, : 229 - 238
  • [3] A Variational Inequality Approach to Bayesian Regression Games
    Guo, Wenshuo
    Jordan, Michael, I
    Lin, Tianyi
    [J]. 2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 795 - 802
  • [4] Variational Bayesian approach to support vector regression
    Gao, Z
    Wong, KYM
    [J]. PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 2005, (157): : 284 - 287
  • [5] A NONCONVEX VARIATIONAL APPROACH FOR ROBUST GRAPHICAL LASSO
    Benfenati, Alessandro
    Chouzenoux, Emilie
    Pesquet, Jean-Christophe
    [J]. 2018 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2018, : 3969 - 3973
  • [6] An inverse problem approach to robust regression
    Fuchs, JJ
    [J]. ICASSP '99: 1999 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS VOLS I-VI, 1999, : 1809 - 1812
  • [7] A working likelihood approach for robust regression
    Fu, Liya
    Wang, You-Gan
    Cai, Fengjing
    [J]. STATISTICAL METHODS IN MEDICAL RESEARCH, 2020, 29 (12) : 3641 - 3652
  • [8] A fuzzy approach to robust regression clustering
    Dotto, Francesco
    Farcomeni, Alessio
    Angel Garcia-Escudero, Luis
    Mayo-Iscar, Agustin
    [J]. ADVANCES IN DATA ANALYSIS AND CLASSIFICATION, 2017, 11 (04) : 691 - 710
  • [9] Regression with Imprecise Data: A Robust Approach
    Cattaneo, Marco E. G. V.
    Wiencierz, Andrea
    [J]. ISIPTA '11 - PROCEEDINGS OF THE SEVENTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS, 2011, : 129 - 138
  • [10] A fuzzy approach to robust regression clustering
    Francesco Dotto
    Alessio Farcomeni
    Luis Angel García-Escudero
    Agustín Mayo-Iscar
    [J]. Advances in Data Analysis and Classification, 2017, 11 : 691 - 710