Bayesian MCMC nonlinear time series prediction

被引:0
|
作者
Nakada, Y [1 ]
Kurihara, T [1 ]
Matsumoto, T [1 ]
机构
[1] Waseda Univ, CREST, JST,Sinjuku Ku, Dept Elect Elect & Comp Engn, Tokyo 1698555, Japan
关键词
D O I
暂无
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
An MCMC(Markov Chain Monte Carlo) algorithm is proposed for nonlinear time series prediction with Hierarchical Bayesian framework. The algorithm computes predictive mean and error bar by drawing samples from predictive distributions. The algorithm is tested against time series generated by (chaotic) Rossler system and it outperforms quadratic approximations previously proposed by the authors.
引用
收藏
页码:3509 / 3512
页数:4
相关论文
共 50 条
  • [1] Bayesian MCMC nonlinear time series prediction: Predictive mean and error bar
    Nakada, Y
    Matsumoto, T
    NEURAL NETWORKS FOR SIGNAL PROCESSING X, VOLS 1 AND 2, PROCEEDINGS, 2000, : 155 - 164
  • [2] A hierarchical Bayesian nonlinear time series prediction weighted by marginal likelihoods
    Saito, M
    Asano, M
    Matsumoto, T
    NEURAL NETWORKS FOR SIGNAL PROCESSING X, VOLS 1 AND 2, PROCEEDINGS, 2000, : 115 - 124
  • [3] MCMC for Bayesian Uncertainty Quantification from Time-Series Data
    Maybank, Philip
    Peltzer, Patrick
    Naumann, Uwe
    Bojak, Ingo
    COMPUTATIONAL SCIENCE - ICCS 2020, PT VII, 2020, 12143 : 707 - 718
  • [4] Nonlinear MCMC for Bayesian Machine Learning
    Vuckovic, James
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 35 (NEURIPS 2022), 2022,
  • [5] Reliability prediction of bridge structures based on Bayesian dynamic nonlinear models and MCMC simulation
    Fan, X. P.
    Lu, D. G.
    BRIDGE MAINTENANCE, SAFETY, MANAGEMENT AND LIFE EXTENSION, 2014, : 424 - 429
  • [6] Nonlinear prediction of functional time series
    Wang, Haixu
    Cao, Jiguo
    ENVIRONMETRICS, 2023, 34 (05)
  • [7] Nonlinear filters and time series prediction
    Mulgrew, B
    SIGNAL ANALYSIS & PREDICTION I, 1997, : 47 - 52
  • [8] Nonlinear time series forecasting with Bayesian neural networks
    Kocadagli, Ozan
    Asikgil, Baris
    EXPERT SYSTEMS WITH APPLICATIONS, 2014, 41 (15) : 6596 - 6610
  • [9] Bayesian inference for nonlinear structural time series models
    Hall, Jamie
    Pitt, Michael K.
    Kohn, Robert
    JOURNAL OF ECONOMETRICS, 2014, 179 (02) : 99 - 111
  • [10] Bayesian neural networks for nonlinear time series forecasting
    Faming Liang
    Statistics and Computing, 2005, 15 : 13 - 29