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We describe a generalization of the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) which is able to encode prior information that state transitions are more likely between "nearby" states. This is accomplished by defining a…

Machine Learning · Statistics 2017-07-24 Colin Reimer Dawson , Chaofan Huang , Clayton T. Morrison

This paper presents new theory and methodology for the Bayesian estimation of overfitted hidden Markov models, with finite state space. The goal is then to achieve posterior emptying of extra states. A prior configuration is constructed…

Methodology · Statistics 2016-02-09 Zoé van Havre , Judith Rousseau , Nicole White , Kerrie Mengersen

Variational Bayesian (VB) methods produce posterior inference in a time frame considerably smaller than traditional Markov Chain Monte Carlo approaches. Although the VB posterior is an approximation, it has been shown to produce good…

Computation · Statistics 2019-08-02 Nathaniel Tomasetti , Catherine S. Forbes , Anastasios Panagiotelis

We consider active maximum a posteriori (MAP) inference problem for Hidden Markov Models (HMM), where, given an initial MAP estimate of the hidden sequence, we select to label certain states in the sequence to improve the estimation…

Machine Learning · Statistics 2015-09-02 Armen E. Allahverdyan , Aram Galstyan

We consider the task of learning mappings from sequential data to real-valued responses. We present and evaluate an approach to learning a type of hidden Markov model (HMM) for regression. The learning process involves inferring the…

Machine Learning · Computer Science 2012-06-18 Keith Noto , Mark Craven

Advanced Persistent Threats (APTs) represent hidden, multi\-stage cyberattacks whose long term persistence and adaptive behavior challenge conventional intrusion detection systems (IDS). Although recent advances in machine learning and…

Cryptography and Security · Computer Science 2026-04-02 Saleem Ishaq Tijjani , Bogdan Ghita , Nathan Clarke , Matthew Craven

This paper proposes a novel adaptive sample space-based Viterbi algorithm for target localization in an online manner. The method relies on discretizing the target's motion space into cells representing a finite number of hidden states.…

Robotics · Computer Science 2022-08-17 Min-Won Seo , Solmaz S. Kia

This paper is concerned with algorithms for prediction of discrete sequences over a finite alphabet, using variable order Markov models. The class of such algorithms is large and in principle includes any lossless compression algorithm. We…

Artificial Intelligence · Computer Science 2011-07-04 R. Begleiter , R. El-Yaniv , G. Yona

Inferring a state sequence from a sequence of measurements is a fundamental problem in bioinformatics and natural language processing. The Viterbi and the Beam Search (BS) algorithms are popular inference methods, but they have limitations…

Machine Learning · Computer Science 2023-05-22 Xuechun Xu , Joakim Jaldén

Hidden Markov Models, HMM's, are mathematical models of Markov processes with state that is hidden, but from which information can leak. They are typically represented as 3-way joint-probability distributions. We use HMM's as denotations of…

Logic in Computer Science · Computer Science 2023-06-22 Annabelle McIver , Carroll Morgan , Tahiry Rabehaja

This research focuses on the algorithms and approaches for learning Hidden Markov Models (HMMs) and compares HMM learning methods and algorithms. HMM is a statistical Markov model in which the system being modeled is assumed to be a Markov…

Machine Learning · Computer Science 2021-02-16 Taha Mansouri , Mohamadreza Sadeghimoghadam , Iman Ghasemian Sahebi

We address the problem of analyzing sets of noisy time-varying signals that all report on the same process but confound straightforward analyses due to complex inter-signal heterogeneities and measurement artifacts. In particular we…

Decoding of convolutional codes poses a significant challenge for coding theory. Classical methods, based on e.g. Viterbi decoding, suffer from being computationally expensive and are restricted therefore to codes of small complexity. Based…

Information Theory · Computer Science 2009-09-04 Jose Ignacio Iglesias Curto , Uwe Helmke

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…

Hidden Markov Model (HMM) is often regarded as the dynamical model of choice in many fields and applications. It is also at the heart of most state-of-the-art speech recognition systems since the 70's. However, from Gaussian mixture models…

Computation and Language · Computer Science 2016-07-04 Sébastien Gagnon , Jean Rouat

Markov state models (MSMs) have been successful in computing metastable states, slow relaxation timescales and associated structural changes, and stationary or kinetic experimental observables of complex molecules from large amounts of…

Chemical Physics · Physics 2015-06-17 Frank Noe , Hao Wu , Jan-Hendrik Prinz , Nuria Plattner

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 2016-10-04 Viktoriya Krakovna , Finale Doshi-Velez

The most famous error-decoding algorithm for convolutional codes is the Viterbi algorithm. In this paper, we present a new reduced complexity version of this algorithm which can be applied to a class of binary convolutional codes with…

Information Theory · Computer Science 2024-07-26 Zita Abreu , Julia Lieb , Michael Schaller

Recently, probabilistic predictive coding that directly models the conditional distribution of latent features across successive frames for temporal redundancy removal has yielded promising results. Existing methods using a single-scale…

Image and Video Processing · Electrical Eng. & Systems 2023-12-13 Ming Lu , Zhihao Duan , Fengqing Zhu , Zhan Ma

The Hidden Markov Model (HMM) is one of the most widely used statistical models for sequential data analysis. One of the key reasons for this versatility is the ability of HMM to deal with missing data. However, standard HMM learning…

Machine Learning · Statistics 2023-07-04 Binyamin Perets , Mark Kozdoba , Shie Mannor