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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…

Machine Learning · Statistics 2025-04-22 Zenia Elise Damgaard Bæk , Moisès Coll Macià , Laurits Skov , Asger Hobolth

A hidden Markov model (HMM) solved recursively by the Viterbi algorithm can be configured to search for persistent, quasimonochromatic gravitational radiation from an isolated or accreting neutron star, whose rotational frequency is unknown…

General Relativity and Quantum Cosmology · Physics 2021-09-01 A. Melatos , P. Clearwater , S. Suvorova , L. Sun , W. Moran , R. J. Evans

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…

Machine Learning · Statistics 2013-04-17 Jüri Lember , Alexey A. Koloydenko

The anti-interference capability of wireless links is a physical layer problem for edge computing. Although convolutional codes have inherent error correction potential due to the redundancy introduced in the data, the performance of the…

Information Theory · Computer Science 2022-11-15 Haoyu Li , Xuan Wang , Tong Liu , Dingyi Fang , Baoying Liu

Hidden Markov models (HMMs) are characterized by an unobservable Markov chain and an observable process -- a noisy version of the hidden chain. Decoding the original signal from the noisy observations is one of the main goals in nearly all…

Methodology · Statistics 2026-05-19 Alexandre Mösching , Housen Li , Axel Munk

Hidden Markov Models (HMMs) are one of the most fundamental and widely used statistical tools for modeling discrete time series. In general, learning HMMs from data is computationally hard (under cryptographic assumptions), and…

Machine Learning · Computer Science 2012-07-10 Daniel Hsu , Sham M. Kakade , Tong Zhang

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

It is important to predict any adversarial attacks and their types to enable effective defense systems. Often it is hard to label such activities as malicious ones without adequate analytical reasoning. We propose the use of Hidden Markov…

Cryptography and Security · Computer Science 2021-06-04 Shuvalaxmi Dass , Prerit Datta , Akbar Siami Namin

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

Hidden Markov models (HMMs) are popular models to identify a finite number of latent states from sequential data. However, fitting them to large data sets can be computationally demanding because most likelihood maximization techniques…

A novel decoding algorithm is developed for general quantum convolutional codes. Exploiting useful ideas from classical coding theory, the new decoder introduces two innovations that drastically reduce the decoding complexity compared to…

Quantum Physics · Physics 2015-03-13 Peiyu Tan , Jing Li

Variational inference algorithms have proven successful for Bayesian analysis in large data settings, with recent advances using stochastic variational inference (SVI). However, such methods have largely been studied in independent or…

Machine Learning · Statistics 2014-11-07 Nicholas J. Foti , Jason Xu , Dillon Laird , Emily B. Fox

The hidden Markov model (HMM) is a fundamental tool for sequence modeling that cleanly separates the hidden state from the emission structure. However, this separation makes it difficult to fit HMMs to large datasets in modern NLP, and they…

Computation and Language · Computer Science 2020-11-10 Justin T. Chiu , Alexander M. Rush

Traditional Markov chain Monte Carlo (MCMC) sampling of hidden Markov models (HMMs) involves latent states underlying an imperfect observation process, and generates posterior samples for top-level parameters concurrently with nuisance…

Computation · Statistics 2016-01-13 Daniel Turek , Perry de Valpine , Christopher J. Paciorek

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…

Information Theory · Computer Science 2021-03-23 Jüri Lember , Joonas Sova

As deep neural networks continue to revolutionize various application domains, there is increasing interest in making these powerful models more understandable and interpretable, and narrowing down the causes of good and bad predictions. We…

Machine Learning · Statistics 2016-11-21 Viktoriya Krakovna , Finale Doshi-Velez

This paper presents algorithms for parallelization of inference in hidden Markov models (HMMs). In particular, we propose parallel backward-forward type of filtering and smoothing algorithm as well as parallel Viterbi-type…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-07 Sakira Hassan , Simo Särkkä , Ángel F. García-Fernández

We consider learning parameters of Binomial Hidden Markov Models, which may be used to model DNA methylation data. The standard algorithm for the problem is EM, which is computationally expensive for sequences of the scale of the mammalian…

Machine Learning · Computer Science 2018-02-08 Chicheng Zhang , Eran A. Mukamel , Kamalika Chaudhuri

Hidden Markov models (HMMs) have been extensively used in the univariate and multivariate literature. However, there has been an increased interest in the analysis of matrix-variate data over the recent years. In this manuscript we…

Methodology · Statistics 2021-07-16 Salvatore D. Tomarchio , Antonio Punzo , Antonello Maruotti

This paper presents results of a study of the performance of several base classifiers for recognition of handwritten characters of the modern Latin alphabet. Base classification performance is further enhanced by utilizing Viterbi error…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Hélder Campos , Nuno Paulino