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This paper is concerned with the computational complexity of learning the Hidden Markov Model (HMM). Although HMMs are some of the most widely used tools in sequential and time series modeling, they are cryptographically hard to learn in…

Machine Learning · Computer Science 2024-02-27 Sham M. Kakade , Akshay Krishnamurthy , Gaurav Mahajan , Cyril Zhang

In this work, we extend the idea of Quantum Markov chains [S. Gudder. Quantum Markov chains. J. Math. Phys., 49(7), 2008] in order to propose Quantum Hidden Markov Models (QHMMs). For that, we use the notions of Transition Operation…

Quantum Physics · Physics 2017-03-03 Michał Cholewa , Piotr Gawron , Przemysław Głomb , Dariusz Kurzyk

We test the robustness of a maximum-likelihood (ML) based classifier where sequential data as observation is corrupted by noise. The hypothesis is that a generative model, that combines the state transitions of a hidden Markov model (HMM)…

Machine Learning · Computer Science 2021-02-16 Anubhab Ghosh , Antoine Honoré , Dong Liu , Gustav Eje Henter , Saikat Chatterjee

The technological applications of hidden Markov models have been extremely diverse and successful, including natural language processing, gesture recognition, gene sequencing, and Kalman filtering of physical measurements. HMMs are highly…

Algebraic Geometry · Mathematics 2012-09-04 Andrew J. Critch

We provide a comprehensive overview of latent Markov (LM) models for the analysis of longitudinal categorical data. The main assumption behind these models is that the response variables are conditionally independent given a latent process…

Statistics Theory · Mathematics 2010-03-16 F. Bartolucci , A. Farcomeni , F. Pennoni

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

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

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

Consider a stationary discrete random process with alphabet size d, which is assumed to be the output process of an unknown stationary Hidden Markov Model (HMM). Given the joint probabilities of finite length strings of the process, we are…

Machine Learning · Computer Science 2015-12-15 Qingqing Huang , Rong Ge , Sham Kakade , Munther Dahleh

CRF has been used as a powerful model for statistical sequence labeling. For neural sequence labeling, however, BiLSTM-CRF does not always lead to better results compared with BiLSTM-softmax local classification. This can be because the…

Computation and Language · Computer Science 2019-11-11 Leyang Cui , Yue Zhang

Isolated sign recognition from video streams is a challenging problem due to the multi-modal nature of the signs, where both local and global hand features and face gestures needs to be attended simultaneously. This problem has recently…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Anil Osman Tur , Hacer Yalim Keles

Gaussian Markov random fields (GMRFs) are probabilistic graphical models widely used in spatial statistics and related fields to model dependencies over spatial structures. We establish a formal connection between GMRFs and convolutional…

Machine Learning · Statistics 2020-08-11 Per Sidén , Fredrik Lindsten

In unsupervised classification, Hidden Markov Models (HMM) are used to account for a neighborhood structure between observations. The emission distributions are often supposed to belong to some parametric family. In this paper, a…

Machine Learning · Statistics 2012-06-25 Stevenn Volant , Caroline Bérard , Marie-Laure Martin-Magniette , Stéphane Robin

Conditional generative models are capable of using contextual information as input to create new imaginative outputs. Conditional Restricted Boltzmann Machines (CRBMs) are one class of conditional generative models that have proven to be…

Machine Learning · Computer Science 2023-05-16 Alex H. Lang , Anton D. Loukianov , Charles K. Fisher

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…

Methodology · Statistics 2015-05-01 Michalis K. Titsias , Christopher Yau , Christopher C. Holmes

Hidden Markov Models (HMMs) have become very popular as a computational tool for the analysis of sequential data. They are memoryless machines which transition from one internal state to another, while producing symbols. These symbols…

Quantum Physics · Physics 2012-10-01 Ben O`Neill , Tom M. Barlow , Dominik Safranek , Almut Beige

We present LS-CRF, a new method for very efficient large-scale training of Conditional Random Fields (CRFs). It is inspired by existing closed-form expressions for the maximum likelihood parameters of a generative graphical model with tree…

Machine Learning · Computer Science 2014-03-28 Alexander Kolesnikov , Matthieu Guillaumin , Vittorio Ferrari , Christoph H. Lampert

Automatic continuous speech recognition (CSR) is sufficiently mature that a variety of real world applications are now possible including large vocabulary transcription and interactive spoken dialogues. This paper reviews the evolution of…

Machine Learning · Computer Science 2013-01-14 Steve Young

Many machine learning problems such as speech recognition, gesture recognition, and handwriting recognition are concerned with simultaneous segmentation and labeling of sequence data. Latent-dynamic conditional random field (LDCRF) is a…

Machine Learning · Computer Science 2016-09-07 Amir Ahooye Atashin , Kamaledin Ghiasi-Shirazi , Ahad Harati

In pursuit of explainability, we develop generative models for sequential data. The proposed models provide state-of-the-art classification results and robust performance for speech phone classification. We combine modern neural networks…

Machine Learning · Computer Science 2021-07-05 Anubhab Ghosh , Antoine Honoré , Dong Liu , Gustav Eje Henter , Saikat Chatterjee
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