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The hidden Markov model (HMM) has been a workhorse of single molecule data analysis and is now commonly used as a standalone tool in time series analysis or in conjunction with other analyses methods such as tracking. Here we provide a…

数据分析、统计与概率 · 物理学 2017-06-28 Ioannis Sgouralis , Steve Presse

We propose a Bayesian nonparametric mixture model for prediction- and information extraction tasks with an efficient inference scheme. It models categorical-valued time series that exhibit dynamics from multiple underlying patterns (e.g.…

机器学习 · 统计学 2017-06-21 Jan Reubold , Thorsten Strufe , Ulf Brefeld

Industrial processes generate a massive amount of monitoring data that can be exploited to uncover hidden time losses in the system. This can be used to enhance the accuracy of maintenance policies and increase the effectiveness of the…

应用统计 · 统计学 2025-08-27 Fernando Miguelez , Josu Doncel , Maria Dolores Ugarte

Hidden Markov models (HMMs) are flexible tools for clustering dependent data coming from unknown populations, allowing nonparametric modelling of the population densities. Identifiability fails when the data is in fact independent and…

统计理论 · 数学 2025-07-16 Kweku Abraham , Elisabeth Gassiat , Zacharie Naulet

We propose the segmented iHMM (siHMM), a hierarchical infinite hidden Markov model (iHMM) that supports a simple, efficient inference scheme. The siHMM is well suited to segmentation problems, where the goal is to identify points at which a…

机器学习 · 统计学 2016-02-23 Ardavan Saeedi , Matthew Hoffman , Matthew Johnson , Ryan Adams

We demonstrate the application of pattern recognition algorithms via hidden Markov models (HMM) for qubit readout. This scheme provides a state-path trajectory approach capable of detecting qubit state transitions and makes for a robust…

量子物理 · 物理学 2021-01-04 Luis A. Martinez , Yaniv J. Rosen , Jonathan L. DuBois

Nature, as far as we know, evolves continuously through space and time. Yet the ubiquitous hidden Markov model (HMM)--originally developed for discrete time and space analysis in natural language processing--remains a central tool in…

生物大分子 · 定量生物学 2025-06-09 Max Schweiger , Ayush Saurabh , Steve Pressé

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the ubiquitous Hidden Markov Model for learning from sequential and time-series data. However, in…

统计方法学 · 统计学 2012-09-11 Matthew J. Johnson , Alan S. Willsky

The Hidden Markov Model (HMM) is one of the most widely used statistical models for sequential data analysis. One of the key reasons for this versatility is the ability of HMM to deal with missing data. However, standard HMM learning…

机器学习 · 统计学 2023-07-04 Binyamin Perets , Mark Kozdoba , Shie Mannor

Infinite Hidden Markov Models (iHMM's) are an attractive, nonparametric generalization of the classical Hidden Markov Model which can automatically infer the number of hidden states in the system. However, due to the infinite-dimensional…

机器学习 · 统计学 2015-06-10 Nilesh Tripuraneni , Shane Gu , Hong Ge , Zoubin Ghahramani

Data Drift is the phenomenon where the generating model behind the data changes over time. Due to data drift, any model built on the past training data becomes less relevant and inaccurate over time. Thus, detecting and controlling for data…

机器学习 · 计算机科学 2025-04-29 Subhadip Bandyopadhyay , Joy Bose , Sujoy Roy Chowdhury

Hidden Markov Models (HMMs) comprise a powerful generative approach for modeling sequential data and time-series in general. However, the commonly employed assumption of the dependence of the current time frame to a single or multiple…

机器学习 · 计算机科学 2021-09-13 Konstantinos P. Panousis , Sotirios Chatzis , Sergios Theodoridis

In this paper, we explore the class of the Hidden Semi-Markov Model (HSMM), a flexible extension of the popular Hidden Markov Model (HMM) that allows the underlying stochastic process to be a semi-Markov chain. HSMMs are typically used less…

应用统计 · 统计学 2023-01-26 Patrick Aschermayr , Konstantinos Kalogeropoulos

Hidden Markov models (HMMs) offer a robust and efficient framework for analyzing time series data, modelling both the underlying latent state progression over time and the observation process, conditional on the latent state. However, a…

应用统计 · 统计学 2024-07-19 Ioannis Rotous , Alex Diana , Alessio Farcomeni , Eleni Matechou , Andréa Thiebault

This work proposes a multi-agent filtering algorithm over graphs for finite-state hidden Markov models (HMMs), which can be used for sequential state estimation or for tracking opinion formation over dynamic social networks. We show that…

信号处理 · 电气工程与系统科学 2022-03-10 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

Hidden Markov Models (HMMs) are foundational tools for modeling sequential data with latent Markovian structure, yet fitting them to real-world data remains computationally challenging. In this work, we show that pre-trained large language…

机器学习 · 计算机科学 2026-04-27 Yijia Dai , Zhaolin Gao , Yahya Sattar , Sarah Dean , Jennifer J. Sun

Hidden Markov Models (HMMs) have become very popular as a computational tool for the analysis of sequential data. They are memoryless machines which transition from one internal state to another, while producing symbols. These symbols…

量子物理 · 物理学 2012-10-01 Ben O`Neill , Tom M. Barlow , Dominik Safranek , Almut Beige

Hidden Markov models (HMMs) are flexible time series models in which the distributions of the observations depend on unobserved serially correlated states. The state-dependent distributions in HMMs are usually taken from some class of…

统计方法学 · 统计学 2014-06-19 Roland Langrock , Thomas Kneib , Alexander Sohn , Stacy DeRuiter

Modeling continuous-time physiological processes that manifest a patient's evolving clinical states is a key step in approaching many problems in healthcare. In this paper, we develop the Hidden Absorbing Semi-Markov Model (HASMM): a…

人工智能 · 计算机科学 2016-12-28 Ahmed M. Alaa , Mihaela van der Schaar

Hidden Markov models (HMMs) and conditional random fields (CRFs) are two popular techniques for modeling sequential data. Inference algorithms designed over CRFs and HMMs allow estimation of the state sequence given the observations. In…

人工智能 · 计算机科学 2012-02-20 Gungor Polatkan , Oncel Tuzel
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