无限隐马尔可夫模型初始化策略的比较

A comparison between initialization strategies for the infinite hidden Markov model

Computational Statistics and Data Analysis · 2026
被引 0 · 同刊同年前 5%
ABS 3

中文导读

系统比较了有限隐马尔可夫模型的常用初始化方法在无限隐马尔可夫模型中的表现,发现基于距离聚类的初始化优于模型基和均匀初始化,对改进贝叶斯推断有参考价值。

Abstract

Infinite hidden Markov models provide a flexible framework for modeling time-series with structural changes and complex dynamics, without requiring the number of latent states to be specified in advance. This flexibility is achieved through the hierarchical Dirichlet process prior, while efficient Bayesian inference is enabled by the beam sampler, which combines dynamic programming with slice sampling to truncate the infinite state space adaptively. Despite extensive methodological developments, the role of initialization in this framework has received limited attention. This gap is addressed by systematically evaluating initialization strategies commonly used for finite hidden Markov models and assessing their suitability in the infinite setting. Results from both simulated and real datasets show that distance-based clustering initializations consistently outperform model-based and uniform alternatives, the latter being the most widely adopted in the existing literature.

贝叶斯推断时间序列分析聚类分析隐马尔可夫模型狄利克雷过程