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To estimate the emission parameters in hidden Markov models one commonly uses the EM algorithm or its variation. Our primary motivation, however, is the Philips speech recognition system wherein the EM algorithm is replaced by the Viterbi…

统计理论 · 数学 2007-09-17 J. Lember , A. Koloydenko

Hidden Markov models (HMMs) are probabilistic functions of finite Markov chains, or, put in other words, state space models with finite state space. In this paper, we examine subspace estimation methods for HMMs whose output lies a finite…

统计理论 · 数学 2009-11-20 Sofia Andersson , Tobias Rydén

This paper is concerned with the computational complexity of learning the Hidden Markov Model (HMM). Although HMMs are some of the most widely used tools in sequential and time series modeling, they are cryptographically hard to learn in…

机器学习 · 计算机科学 2024-02-27 Sham M. Kakade , Akshay Krishnamurthy , Gaurav Mahajan , Cyril Zhang

We consider a bivariate, possibly non-homogeneous, finite-state Markov chain $(X,U)=\{(X_t,U_t)\}_{t=1}^n$. We are interested in the marginal process $X$, which typically is not a Markov chain. The goal is to find a realization (path)…

统计计算 · 统计学 2025-07-28 Oskar Soop , Jüri Lember

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

The Expectation Maximization (EM) algorithm is a versatile tool for model parameter estimation in latent data models. When processing large data sets or data stream however, EM becomes intractable since it requires the whole data set to be…

统计理论 · 数学 2012-10-18 Sylvain Le Corff , Gersende Fort

Hidden Markov models (HMMs) are commonly used to model animal movement data and infer aspects of animal behavior. An HMM assumes that each data point from a time series of observations stems from one of $N$ possible states. The states are…

In a hidden Markov model, the underlying Markov chain is usually hidden. Often, the maximum likelihood alignment (Viterbi alignment) is used as its estimate. Although having the biggest likelihood, the Viterbi alignment can behave very…

统计方法学 · 统计学 2013-07-31 Kristi Kuljus , Jüri Lember

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the traditional HMM. However, in many settings the HDP-HMM's strict Markovian constraints are…

机器学习 · 计算机科学 2012-03-19 Matthew J. Johnson , Alan Willsky

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

Hidden Markov model (HMM) has been successfully used for sequential data modeling problems. In this work, we propose to power the modeling capacity of HMM by bringing in neural network based generative models. The proposed model is termed…

机器学习 · 计算机科学 2020-05-26 Dong Liu , Antoine Honoré , Saikat Chatterjee , Lars K. Rasmussen

Hidden semi-Markov Models (HSMM's) - while broadly in use - are restricted to a discrete and uniform time grid. They are thus not well suited to explain often irregularly spaced discrete event data from continuous-time phenomena. We show…

机器学习 · 统计学 2022-10-18 Nicolai Engelmann , Heinz Koeppl

The hidden Markov model (HMM) is a generative model that treats sequential data under the assumption that each observation is conditioned on the state of a discrete hidden variable that evolves in time as a Markov chain. In this paper, we…

人工智能 · 计算机科学 2011-09-07 Emanuele Coviello , Antoni B. Chan , Gert R. G. Lanckriet

We study modifications of the Viterbi Training (VT) algorithm to estimate emission parameters in Hidden Markov Models (HMM) in general, and in mixure models in particular. Motivated by applications of VT to HMM that are used in speech…

统计理论 · 数学 2007-06-13 J. Lember , A. Koloydenko

The proliferation of malware variants poses a significant challenges to traditional malware detection approaches, such as signature-based methods, necessitating the development of advanced machine learning techniques. In this research, we…

机器学习 · 计算机科学 2024-12-30 Ritik Mehta , Olha Jureckova , Mark Stamp

We present a new algorithm for discovering patterns in time series and other sequential data. We exhibit a reliable procedure for building the minimal set of hidden, Markovian states that is statistically capable of producing the behavior…

机器学习 · 计算机科学 2007-05-23 Cosma Rohilla Shalizi , Kristina Lisa Shalizi , James P. Crutchfield

Scripts have been proposed to model the stereotypical event sequences found in narratives. They can be applied to make a variety of inferences including filling gaps in the narratives and resolving ambiguous references. This paper proposes…

计算与语言 · 计算机科学 2018-09-12 J. Walker Orr , Prasad Tadepalli , Janardhan Rao Doppa , Xiaoli Fern , Thomas G. Dietterich

We present a quantum Viterbi algorithm (QVA) with better than classical performance under certain conditions. In this paper the proposed algorithm is applied to decoding classical convolutional codes, for instance; large constraint length…

量子物理 · 物理学 2015-06-23 Jon R. Grice , David A. Meyer

When learning a hidden Markov model (HMM), sequen- tial observations can often be complemented by real-valued summary response variables generated from the path of hid- den states. Such settings arise in numerous domains, includ- ing many…

机器学习 · 统计学 2015-12-17 Yizhe Zhang , Ricardo Henao , Lawrence Carin , Jianling Zhong , Alexander J. Hartemink

We present an efficient exact algorithm for estimating state sequences from outputs (or observations) in imprecise hidden Markov models (iHMM), where both the uncertainty linking one state to the next, and that linking a state to its…

人工智能 · 计算机科学 2012-10-08 Jasper De Bock , Gert de Cooman