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相关论文: The posterior-Viterbi: a new decoding algorithm fo…

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The article studies different methods for estimating the Viterbi path in the Bayesian framework. The Viterbi path is an estimate of the underlying state path in hidden Markov models (HMMs), which has a maximum posterior probability (MAP).…

统计计算 · 统计学 2019-05-14 Jüri Lember , Dario Gasbarra , Alexey Koloydenko , Kristi Kuljus

In this paper, we present a novel algorithm for the maximum a posteriori decoding (MAPD) of time-homogeneous Hidden Markov Models (HMM), improving the worst-case running time of the classical Viterbi algorithm by a logarithmic factor. In…

机器学习 · 计算机科学 2015-12-14 Massimo Cairo , Gabriele Farina , Romeo Rizzi

Hidden Markov models are traditionally decoded by the Viterbi algorithm which finds the highest probability state path in the model. In recent years, several limitations of the Viterbi decoding have been demonstrated, and new algorithms…

数据结构与算法 · 计算机科学 2013-08-06 Michal Nánási , Tomáš Vinař , Broňa Brejová

Motivated by the unceasing interest in hidden Markov models (HMMs), this paper re-examines hidden path inference in these models, using primarily a risk-based framework. While the most common maximum a posteriori (MAP), or Viterbi, path…

机器学习 · 统计学 2013-04-17 Jüri Lember , Alexey A. Koloydenko

We introduce a quantum Viterbi decoding algorithm for hidden quantum Markov models (HQMMs) motivated by quantum information processing and quantum algorithms. Given a finite sequence of measurement outcomes, the algorithm identifies hidden…

In this paper, we introduce the on-line Viterbi algorithm for decoding hidden Markov models (HMMs) in much smaller than linear space. Our analysis on two-state HMMs suggests that the expected maximum memory used to decode sequence of length…

数据结构与算法 · 计算机科学 2010-01-25 Rastislav Šrámek , Broňa Brejová , Tomáš Vinař

For hidden Markov models one of the most popular estimates of the hidden chain is the Viterbi path -- the path maximising the posterior probability. We consider a more general setting, called the pairwise Markov model (PMM), where the joint…

信息论 · 计算机科学 2021-03-23 Jüri Lember , Joonas Sova

VT (Viterbi training), or hard EM, is an efficient way of parameter learning for probabilistic models with hidden variables. Given an observation $y$, it searches for a state of hidden variables $x$ that maximizes $p(x,y \mid \theta)$ by…

人工智能 · 计算机科学 2020-02-19 Taisuke Sato , Keiichi Kubota

Hidden Markov models (HMMs) are one of the most widely used statistical methods for analyzing sequence data. However, the reporting of output from HMMs has largely been restricted to the presentation of the most-probable (MAP) hidden state…

统计方法学 · 统计学 2015-05-01 Michalis K. Titsias , Christopher Yau , Christopher C. Holmes

We consider the problem of estimating the maximum posterior probability (MAP) state sequence for a finite state and finite emission alphabet hidden Markov model (HMM) in the Bayesian setup, where both emission and transition matrices have…

机器学习 · 统计学 2020-04-20 Alexey Koloydenko , Kristi Kuljus , Jüri Lember

Since the early days of digital communication, Hidden Markov Models (HMMs) have now been routinely used in speech recognition, processing of natural languages, images, and in bioinformatics. An HMM $(X_i,Y_i)_{i\ge 1}$ assumes observations…

统计理论 · 数学 2009-02-06 J. Lember , A. Koloydenko

We propose a simple tractable pair hidden Markov model for pairwise sequence alignment that accounts for the presence of short tandem repeats. Using the framework of gain functions, we design several optimization criteria for decoding this…

定量方法 · 定量生物学 2013-07-31 Michal Nánási , Tomáš Vinař , Broňa Brejová

Since the early days of digital communication, hidden Markov models (HMMs) have now been also routinely used in speech recognition, processing of natural languages, images, and in bioinformatics. In an HMM $(X_i,Y_i)_{i\ge 1}$, observations…

统计理论 · 数学 2012-07-24 J. Lember , A. Koloydenko

We present an asymptotic analysis of Viterbi Training (VT) and contrast it with a more conventional Maximum Likelihood (ML) approach to parameter estimation in Hidden Markov Models. While ML estimator works by (locally) maximizing the…

机器学习 · 统计学 2013-12-18 Armen E. Allahverdyan , Aram Galstyan

Background: Hidden Markov models are widely employed by numerous bioinformatics programs used today. Applications range widely from comparative gene prediction to time-series analyses of micro-array data. The parameters of the underlying…

定量方法 · 定量生物学 2012-10-18 Tin Yin Lam , Irmtraud M. Meyer

Two major tasks in applications of hidden Markov models are to (i) compute distributions of summary statistics of the hidden state sequence, and (ii) decode the hidden state sequence. We describe finite Markov chain imbedding (FMCI) and…

机器学习 · 统计学 2025-04-22 Zenia Elise Damgaard Bæk , Moisès Coll Macià , Laurits Skov , Asger Hobolth

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) and their variants were successfully used for several sequence annotation tasks. Traditionally, inference with HMMs is done using the Viterbi and posterior decoding algorithms. However, recently a variety of…

数据结构与算法 · 计算机科学 2012-10-10 Michal Nánási , Tomáš Vinař , Broňa Brejová

The classic algorithm of Viterbi computes the most likely path in a Hidden Markov Model (HMM) that results in a given sequence of observations. It runs in time $O(Tn^2)$ given a sequence of $T$ observations from a HMM with $n$ states.…

计算复杂性 · 计算机科学 2016-11-04 Arturs Backurs , Christos Tzamos

Lane determination and lane sequence determination are important components for many Connected and Automated Vehicle (CAV) applications. Lane determination has been solved using Hidden Markov Model (HMM) among other methods. The existing…

机器人学 · 计算机科学 2025-05-13 Mike Stas , Wang Hu , Jay A. Farrell
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