The Student's t-Hidden Markov Model With Truncated Stick-Breaking Priors

被引:12
|
作者
Wei, Xin [1 ]
Li, Chunguang [1 ]
机构
[1] Zhejiang Univ, Dept Informat Sci & Elect Engn, Hangzhou 310027, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Continuous hidden Markov model; inference; Student's t-distribution; truncated stick-breaking priors;
D O I
10.1109/LSP.2011.2138695
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this letter, we propose a Student's t-hidden Markov model with truncated stick-breaking priors (TSB-SHMM). In the TSB-SHMM, the priors for elements in the initial state vector and the state transition matrix are constructed by stick-breaking procedure with a truncation level, and the observation emission distributions are the Student's t-mixtures. Then we derive an inference algorithm for estimating the parameters of the proposed TSB-SHMM. Experimental results on the synthetic data and text-dependent speaker identification illustrate that the TSB-SHMM can automatically determine the number of states and are robust to untypical observed data.
引用
收藏
页码:355 / 358
页数:4
相关论文
共 29 条
  • [21] Merging Student's-t and Rayleigh distributions regression mixture model for clustering time-series
    Zhu, Hongqing
    Pan, Xu
    Xie, Qunyi
    NEUROCOMPUTING, 2017, 266 : 247 - 262
  • [22] Evidence for hedge fund predictability from a multivariate Student's t full-factor GARCH model
    Vrontos, Ioannis
    JOURNAL OF APPLIED STATISTICS, 2012, 39 (06) : 1295 - 1321
  • [23] Forecasting based on a multivariate autoregressive threshold model (MTAR) with a multivariate Student's t error distribution: A Bayesian approach
    Garzon, Nicolas Rivera
    Villanueva, Sergio Alejandro Calderon
    Espinosa, Oscar
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2025,
  • [24] Mixed Student's T-Distribution Regression Soft Measurement Model and Its Application Based on VI and MCMC
    Li, Qirui
    Li, Cuixian
    Peng, Zhiping
    Cui, Delong
    He, Jieguang
    PROCESSES, 2025, 13 (03)
  • [25] Robust Interacting Multiple Model Filter Based on Student's t-Distribution for Heavy-Tailed Measurement Noises
    Li, Dong
    Sun, Jie
    SENSORS, 2019, 19 (22)
  • [26] Remote Sensing Image Segmentation Based on Hierarchical Student's-t Mixture Model and Spatial Constrains with Adaptive Smoothing
    Shi, Xue
    Wang, Yu
    Li, Yu
    Dou, Shiqing
    REMOTE SENSING, 2023, 15 (03)
  • [27] Student's t-uniform mixture-based robust sparse coding model for sign language recognition from thermal images
    Ghosh, Saibal
    Mondal, Aninda Sundar
    Chatterjee, Amitava
    MEASUREMENT, 2025, 246
  • [28] A Sequential Student's t-Based Robust Kalman Filter for Multi-GNSS PPP/INS Tightly Coupled Model in the Urban Environment
    Cheng, Sixiang
    Cheng, Jianhua
    Zang, Nan
    Zhang, Zhetao
    Chen, Sicheng
    REMOTE SENSING, 2022, 14 (22)
  • [29] Variational Bayesian Student's-t Mixture Model With Closed-Form Missing Value Imputation for Robust Process Monitoring of Low-Quality Data
    Dai, Qingyang
    Zhao, Chunhui
    Zhao, Shunyi
    IEEE TRANSACTIONS ON CYBERNETICS, 2024, 54 (01) : 373 - 386