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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…

机器学习 · 统计学 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…

广义相对论与量子宇宙学 · 物理学 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…

机器学习 · 统计学 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…

信息论 · 计算机科学 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…

统计方法学 · 统计学 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…

机器学习 · 计算机科学 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…

概率论 · 数学 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…

密码学与安全 · 计算机科学 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…

机器学习 · 统计学 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…

量子物理 · 物理学 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…

机器学习 · 统计学 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…

计算与语言 · 计算机科学 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…

统计计算 · 统计学 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…

信息论 · 计算机科学 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…

机器学习 · 统计学 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…

分布式、并行与集群计算 · 计算机科学 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…

机器学习 · 计算机科学 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…

统计方法学 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 2021-11-30 Hélder Campos , Nuno Paulino