Sequential Bayesian kernel regression

被引:0
|
作者
Vermaak, J [1 ]
Godsill, SJ [1 ]
Doucet, A [1 ]
机构
[1] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, 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 propose a method for sequential Bayesian kernel regression. As is the case for the popular Relevance Vector Machine (RVM) [10, 11], the method automatically identifies the number and locations of the kernels. Our algorithm overcomes some of the computational difficulties related to batch methods for kernel regression. It is non-iterative, and requires only a single pass over the data. It is thus applicable to truly sequential data sets and batch data sets alike. The algorithm is based on a generalisation of Importance Sampling, which allows the design of intuitively simple and efficient proposal distributions for the model parameters. Comparative results on two standard data sets show our algorithm to compare favourably with existing batch estimation strategies.
引用
收藏
页码:113 / 120
页数:8
相关论文
共 50 条
  • [1] Sequential Bayesian bandwidth selection for multivariate kernel regression with applications
    Li, Yong
    Zhang, Mingzhi
    Zhang, Yonghui
    [J]. ECONOMIC MODELLING, 2022, 112
  • [2] On sequential Bayesian Logistic Regression
    Niranjan, M
    [J]. NEURAL NETS - WIRN VIETRI-99, 1999, : 3 - 11
  • [3] Doubly Sparse Bayesian Kernel Logistic Regression
    Kojima, Atsushi
    Tanaka, Toshihisa
    [J]. 2018 ASIA-PACIFIC SIGNAL AND INFORMATION PROCESSING ASSOCIATION ANNUAL SUMMIT AND CONFERENCE (APSIPA ASC), 2018, : 977 - 982
  • [4] Bayesian Approximate Kernel Regression With Variable Selection
    Crawford, Lorin
    Wood, Kris C.
    Zhou, Xiang
    Mukherjee, Sayan
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2018, 113 (524) : 1710 - 1721
  • [5] Sequential Bayesian computation of logistic regression models
    Niranjan, M
    [J]. ICASSP '99: 1999 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS VOLS I-VI, 1999, : 1065 - 1068
  • [6] Bayesian Kernel Machine Regression for Social Epidemiologic Research
    Bather, Jemar R.
    Robinson, Taylor J.
    Goodman, Melody S.
    [J]. EPIDEMIOLOGY, 2024, 35 (06) : 735 - 747
  • [7] Bayesian Approach in Nonparametric Count Regression with Binomial Kernel
    Zougab, Nabil
    Adjabi, Smail
    Kokonendji, Celestin C.
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2014, 43 (05) : 1052 - 1063
  • [8] SEQUENTIAL SAMPLING WITH KERNEL-BASED BAYESIAN NETWORK CLASSIFIERS
    Shahan, David
    Seepersad, Carolyn C.
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2011, VOL 5, PTS A AND B, 2012, : 877 - 890
  • [9] Sequential Bayesian kernel modelling with non-Gaussian noise
    Nikolaev, Nikolay Y.
    de Menezes, Lilian M.
    [J]. NEURAL NETWORKS, 2008, 21 (01) : 36 - 47
  • [10] Sequential Learning versus No Learning in Bayesian Regression Models
    Azoury, Katy S.
    Miyaoka, Julia
    [J]. NAVAL RESEARCH LOGISTICS, 2014, 61 (07) : 532 - 548