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In this article a flexible Bayesian non-parametric model is proposed for non-homogeneous hidden Markov models. The model is developed through the amalgamation of the ideas of hidden Markov models and predictor dependent stick-breaking…

Methodology · Statistics 2012-05-10 Abhra Sarkar , Anindya Bhadra , Bani K. Mallick

State space models have long played an important role in signal processing. The Gaussian case can be treated algorithmically using the famous Kalman filter. Similarly since the 1970s there has been extensive application of Hidden Markov…

Statistics Theory · Mathematics 2007-06-13 Peter Bickel , Yaacov Ritov , Tobias Rydén

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

If a measurement is made on one half of a bipartite system, then, conditioned on the outcome, the other half has a new reduced state. If these reduced states defy classical explanation -- that is, if shared randomness cannot produce these…

Quantum Physics · Physics 2018-02-13 Carl A. Miller , Roger Colbeck , Yaoyun Shi

The framework of mixed observable Markov decision processes (MOMDP) models many robotic domains in which some state variables are fully observable while others are not. In this work, we identify a significant subclass of MOMDPs defined by…

Robotics · Computer Science 2022-06-07 Hai Nguyen , Zhihan Yang , Andrea Baisero , Xiao Ma , Robert Platt , Christopher Amato

A new language model for speech recognition inspired by linguistic analysis is presented. The model develops hidden hierarchical structure incrementally and uses it to extract meaningful information from the word history - thus enabling the…

Computation and Language · Computer Science 2007-05-23 Ciprian Chelba , Frederick Jelinek

We propose a copula-based extension of the hidden Markov model (HMM) which applies when the observations recorded at each time in the sample are multivariate. The joint model produced by the copula extension allows decoding of the hidden…

Methodology · Statistics 2024-05-13 Robert Zimmerman , Radu V. Craiu , Vianey Leos-Barajas

This paper introduces a new parsimonious structure for mixture of autoregressive models. the weighting coefficients are determined through latent random variables, following a hidden Markov model. We propose a dynamic programming algorithm…

Statistics Theory · Mathematics 2011-05-12 S. H. Alizadeh , S. Rezakhah

The paper investigates the problems of quickest change detection in Markov models and hidden Markov models (HMMs). Sequential observations are taken from a (hidden) Markov model. At some unknown time, an event occurs in the system and…

Signal Processing · Electrical Eng. & Systems 2023-11-09 Qi Zhang , Zhongchang Sun , Luis C. Herrera , Shaofeng Zou

This paper considers maximum likelihood (ML) estimation in a large class of models with hidden Markov regimes. We investigate consistency of the ML estimator and local asymptotic normality for the models under general conditions which allow…

Statistics Theory · Mathematics 2021-12-07 Demian Pouzo , Zacharias Psaradakis , Martin Sola

Data analysts are essential in organizations, transforming raw data into insights that drive decision-making and strategy. This study explores how analysts' productivity evolves on a collaborative platform, focusing on two key learning…

Social and Information Networks · Computer Science 2025-03-27 Yue Yin

Biological systems need to react to stimuli over a broad spectrum of timescales. If and how this ability can emerge without external fine-tuning is a puzzle. We consider here this problem in discrete Markovian systems, where we can leverage…

Disordered Systems and Neural Networks · Physics 2021-08-11 Faheem Mosam , Diego Vidaurre , Eric De Giuli

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) provide useful tools for modeling dynamical systems. They are particularly useful for representing the topology of environments such as road networks…

Artificial Intelligence · Computer Science 2011-06-06 L. P. Kaelbling , H. Shatkay

Hidden Markov Models are widely used in classical computer science to model stochastic processes with a wide range of applications. This paper concerns the quantum analogues of these machines --- so-called Hidden Quantum Markov Models…

Quantum Physics · Physics 2015-03-05 Lewis A. Clark , Wei Huang , Thomas M. Barlow , Almut Beige

Labeling of sequential data is a prevalent meta-problem for a wide range of real world applications. While the first-order Hidden Markov Models (HMM) provides a fundamental approach for unsupervised sequential labeling, the basic model does…

Machine Learning · Computer Science 2019-04-08 Maoying Qiao , Wei Bian , Richard Yida Xu , Dacheng Tao

This work proposes a multi-agent filtering algorithm over graphs for finite-state hidden Markov models (HMMs), which can be used for sequential state estimation or for tracking opinion formation over dynamic social networks. We show that…

Signal Processing · Electrical Eng. & Systems 2022-03-10 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

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

Word representations induced from models with discrete latent variables (e.g.\ HMMs) have been shown to be beneficial in many NLP applications. In this work, we exploit labeled syntactic dependency trees and formalize the induction problem…

Computation and Language · Computer Science 2016-02-08 Simon Šuster , Gertjan van Noord , Ivan Titov

Multistate Markov models are a canonical parametric approach for data modeling of observed or latent stochastic processes supported on a finite state space. Continuous-time Markov processes describe data that are observed irregularly over…

Hidden Markov models and their variants are the predominant sequential classification method in such domains as speech recognition, bioinformatics and natural language processing. Being generative rather than discriminative models, however,…

Machine Learning · Statistics 2013-02-18 John A. Quinn , Masashi Sugiyama
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