Particle methods for maximum likelihood estimation in latent variable models

被引:0
|
作者
Adam M. Johansen
Arnaud Doucet
Manuel Davy
机构
[1] University of Bristol,Department of Mathematics, University Walk
[2] University of British Columbia,Department of Statistics & Department of Computer Science
[3] LAGIS UMR 8146,undefined
来源
Statistics and Computing | 2008年 / 18卷
关键词
Latent variable models; Markov chain Monte Carlo; Maximum likelihood; Sequential Monte Carlo; Simulated annealing;
D O I
暂无
中图分类号
学科分类号
摘要
Standard methods for maximum likelihood parameter estimation in latent variable models rely on the Expectation-Maximization algorithm and its Monte Carlo variants. Our approach is different and motivated by similar considerations to simulated annealing; that is we build a sequence of artificial distributions whose support concentrates itself on the set of maximum likelihood estimates. We sample from these distributions using a sequential Monte Carlo approach. We demonstrate state-of-the-art performance for several applications of the proposed approach.
引用
收藏
页码:47 / 57
页数:10
相关论文
共 50 条
  • [21] Maximum likelihood estimation of latent affine processes
    Bates, David S.
    [J]. REVIEW OF FINANCIAL STUDIES, 2006, 19 (03): : 909 - 965
  • [22] Accuracy of Latent Variable Estimation with the Maximum Likelihood Estimator for Partially Observed Hidden Data
    Yamazaki, Keisuke
    [J]. 2012 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS (ISITA 2012), 2012, : 707 - 711
  • [23] Decomposed Normalized Maximum Likelihood Codelength Criterion for Selecting Hierarchical Latent Variable Models
    Wu, Tianyi
    Sugawara, Shinya
    Yamanishi, Kenji
    [J]. KDD'17: PROCEEDINGS OF THE 23RD ACM SIGKDD INTERNATIONAL CONFERENCE ON KNOWLEDGE DISCOVERY AND DATA MINING, 2017, : 1165 - 1174
  • [24] MCMC maximum likelihood for latent state models
    Jacquier, Eric
    Johannes, Michael
    Polson, Nicholas
    [J]. JOURNAL OF ECONOMETRICS, 2007, 137 (02) : 615 - 640
  • [25] Maximum likelihood estimation methods for multispectral random field image models
    Bennett, J
    Khotanzad, A
    [J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1999, 21 (06) : 537 - 543
  • [26] Maximum Likelihood Estimation of Parameters of a Random Variable Using Monte Carlo Methods
    Oualid Saci
    Megdouda Ourbih-Tari
    Leila Baiche
    [J]. Sankhya A, 2023, 85 : 540 - 571
  • [27] Maximum Likelihood Estimation of Parameters of a Random Variable Using Monte Carlo Methods
    Saci, Oualid
    Ourbih-Tari, Megdouda
    Baiche, Leila
    [J]. SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY, 2023, 85 (01): : 540 - 571
  • [28] On Estimation in Latent Variable Models
    Fang, Guanhua
    Li, Ping
    [J]. INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 139, 2021, 139
  • [29] Maximum Likelihood Estimation of Multilevel Structural Equation Models with Random Slopes for Latent Covariates
    Rockwood, Nicholas J.
    [J]. PSYCHOMETRIKA, 2020, 85 (02) : 275 - 300
  • [30] A comparison of Bayesian to maximum likelihood estimation for latent growth models in the presence of a binary outcome
    Kim, Su-Young
    Huh, David
    Zhou, Zhengyang
    Mun, Eun-Young
    [J]. INTERNATIONAL JOURNAL OF BEHAVIORAL DEVELOPMENT, 2020, 44 (05) : 447 - 457