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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

Conformal prediction is a widely used method to quantify the uncertainty of a classifier under the assumption of exchangeability (e.g., IID data). We generalize conformal prediction to the Hidden Markov Model (HMM) framework where the…

Infinite Hidden Markov Models (iHMM's) are an attractive, nonparametric generalization of the classical Hidden Markov Model which can automatically infer the number of hidden states in the system. However, due to the infinite-dimensional…

Machine Learning · Statistics 2015-06-10 Nilesh Tripuraneni , Shane Gu , Hong Ge , Zoubin Ghahramani

Information seeking process is an important topic in information seeking behavior research. Both qualitative and empirical methods have been adopted in analyzing information seeking processes, with major focus on uncovering the latent…

Information Retrieval · Computer Science 2013-04-09 Shuguang Han , Zhen Yue , Daqing He

Pairwise Markov Models (PMMs) extend the wellknown Hidden Markov Models (HMMs). Being significantly more general, PMMs enable several types of processing, like Bayesian filtering or smoothing, similar to those used in HMMs. In this paper,…

Dynamical Systems · Mathematics 2024-02-13 Marc Escudier , Ikram Abdelkefi , Clément Fernandes , Wojciech Pieczynski

Effective iterative decoding of short BCH codes faces two primary challenges: identifying an appropriate parity-check matrix and accelerating decoder convergence. To address these issues, we propose a systematic scheme to derive an…

Information Theory · Computer Science 2024-11-22 Guangwen Li , Xiao Yu

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

In this paper, we propose a machine learning model for sparse pairwise comparison matrices (PCMs), combining classical PCM approaches with graph-based learning techniques. Numerical results are provided to demonstrate the effectiveness and…

Machine Learning · Computer Science 2026-01-09 Selcuk Koyuncu , Ronak Nouri , Stephen Providence

We study modifications of the Viterbi Training (VT) algorithm to estimate emission parameters in Hidden Markov Models (HMM) in general, and in mixure models in particular. Motivated by applications of VT to HMM that are used in speech…

Statistics Theory · Mathematics 2007-06-13 J. Lember , A. Koloydenko

We propose a probabilistic modeling framework for learning the dynamic patterns in the collective behaviors of social agents and developing profiles for different behavioral groups, using data collected from multiple information sources.…

Machine Learning · Statistics 2016-06-28 Lin Li , Ananthram Swami , Anna Scaglione

The objective of this article is to study the asymptotic behavior of a new particle filtering approach in the context of hidden Markov models (HMMs). In particular, we develop an algorithm where the latent-state sequence is segmented into…

Statistics Theory · Mathematics 2014-09-16 Hock Peng Chan , Chiang Wee Heng , Ajay Jasra

We replace the Hidden Markov Model (HMM) which is traditionally used in in continuous speech recognition with a bi-directional recurrent neural network encoder coupled to a recurrent neural network decoder that directly emits a stream of…

Neural and Evolutionary Computing · Computer Science 2014-12-05 Jan Chorowski , Dzmitry Bahdanau , Kyunghyun Cho , Yoshua Bengio

In this paper we derive the consistency of the penalized likelihood method for the number state of the hidden Markov chain in autoregressive models with Markov regimen. Using a SAEM type algorithm to estimate the models parameters. We test…

Statistics Theory · Mathematics 2016-08-16 Ricardo Ríos , Luis Rodríguez

Hidden Markov model (HMM) has been successfully used for sequential data modeling problems. In this work, we propose to power the modeling capacity of HMM by bringing in neural network based generative models. The proposed model is termed…

Machine Learning · Computer Science 2020-05-26 Dong Liu , Antoine Honoré , Saikat Chatterjee , Lars K. Rasmussen

Recently, hidden Markov models (HMMs) have achieved promising results for offline handwritten Chinese text recognition. However, due to the large vocabulary of Chinese characters with each modeled by a uniform and fixed number of hidden…

Computer Vision and Pattern Recognition · Computer Science 2018-08-14 Wenchao Wang , Jun Du , Zi-Rui Wang

This paper deals with convergence of the maximum a posterior probability path estimator in hidden Markov models. We show that when the state space of the hidden process is continuous, the optimal path may stabilize in a way which is…

Statistics Theory · Mathematics 2012-07-25 Pavel Chigansky , Yaacov Ritov

Traditional pairwise sequence alignment is based on matching individual samples from two sequences, under time monotonicity constraints. However, in many application settings matching subsequences (segments) instead of individual samples…

Databases · Computer Science 2016-09-28 Shahriar Shariat , Vladimir Pavlovic

In a recent conference paper, we have reported a rhythm transcription method based on a merged-output hidden Markov model (HMM) that explicitly describes the multiple-voice structure of polyphonic music. This model solves a major problem of…

Artificial Intelligence · Computer Science 2017-01-31 Eita Nakamura , Kazuyoshi Yoshii , Shigeki Sagayama

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

Iterative decoding was not originally introduced as the solution to an optimization problem rendering the analysis of its convergence very difficult. In this paper, we investigate the link between iterative decoding and classical…

Information Theory · Computer Science 2010-01-13 Florence Alberge , Ziad Naja , P. Duhamel
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