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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…

Statistics Theory · Mathematics 2007-06-13 J. Lember , A. Koloydenko

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…

Statistics Theory · Mathematics 2007-09-17 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…

Machine Learning · Statistics 2013-12-18 Armen E. Allahverdyan , Aram Galstyan

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…

Artificial Intelligence · Computer Science 2020-02-19 Taisuke Sato , Keiichi Kubota

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…

Quantitative Methods · Quantitative Biology 2012-10-18 Tin Yin Lam , Irmtraud M. Meyer

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).…

Computation · Statistics 2019-05-14 Jüri Lember , Dario Gasbarra , Alexey Koloydenko , Kristi Kuljus

Background: Hidden Markov models (HMM) are powerful machine learning tools successfully applied to problems of computational Molecular Biology. In a predictive task, the HMM is endowed with a decoding algorithm in order to assign the most…

Biomolecules · Quantitative Biology 2007-05-23 Piero Fariselli , Pier Luigi Martelli , Rita Casadio

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…

Machine Learning · Statistics 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…

Statistics Theory · Mathematics 2009-02-06 J. Lember , A. Koloydenko

An algorithm used to extract HMM parameters is revisited. Most parts of the extraction process are taken from implemented Hidden Markov Toolkit (HTK) program under name HInit. The algorithm itself shows a few variations compared to another…

Sound · Computer Science 2019-08-09 Zulkarnaen Hatala , Victor Puturuhu

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

Machine Learning · Computer Science 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

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…

Statistics Theory · Mathematics 2012-07-24 J. Lember , A. Koloydenko

We consider the maximum likelihood (Viterbi) alignment of a hidden Markov model (HMM). In an HMM, the underlying Markov chain is usually hidden and the Viterbi alignment is often used as the estimate of it. This approach will be referred to…

Probability · Mathematics 2010-12-14 Kristi Kuljus , Jüri Lember

Hidden Markov Models (HMM) have been used for several years in many time series analysis or pattern recognitions tasks. HMM are often trained by means of the Baum-Welch algorithm which can be seen as a special variant of an expectation…

Machine Learning · Computer Science 2016-05-30 Christian Gruhl , Bernhard Sick

We investigate a novel modeling approach for end-to-end neural network training using hidden Markov models (HMM) where the transition probabilities between hidden states are modeled and learned explicitly. Most contemporary…

Machine Learning · Computer Science 2023-10-10 Daniel Mann , Tina Raissi , Wilfried Michel , Ralf Schlüter , Hermann Ney

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…

Robotics · Computer Science 2025-05-13 Mike Stas , Wang Hu , Jay A. Farrell

Visual Prompt Tuning (VPT) has proven effective for parameter-efficient adaptation of pre-trained vision models to downstream tasks by inserting task-specific learnable prompt tokens. Despite its empirical success, a comprehensive…

Machine Learning · Computer Science 2026-02-12 Minh Le , Anh Nguyen , Huy Nguyen , Chau Nguyen , Anh Tran , Nhat Ho

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…

Methodology · Statistics 2013-07-31 Kristi Kuljus , Jüri Lember

The current modus operandi in adapting pre-trained models involves updating all the backbone parameters, ie, full fine-tuning. This paper introduces Visual Prompt Tuning (VPT) as an efficient and effective alternative to full fine-tuning…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Menglin Jia , Luming Tang , Bor-Chun Chen , Claire Cardie , Serge Belongie , Bharath Hariharan , Ser-Nam Lim

In this work we present a flexible, probabilistic and reference-free method of error correction for high throughput DNA sequencing data. The key is to exploit the high coverage of sequencing data and model short sequence outputs as…

Information Theory · Computer Science 2013-02-04 Xin Yin , Zhao Song , Karin Dorman , Aditya Ramamoorthy
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