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Suppose that we are given a time series where consecutive samples are believed to come from a probabilistic source, that the source changes from time to time and that the total number of sources is fixed. Our objective is to estimate the…

Information Theory · Computer Science 2018-04-24 Mark Kozdoba , Shie Mannor

This paper presents an "elitist approach" for extracting automatically well-realized speech sounds with high confidence. The elitist approach uses a speech recognition system based on Hidden Markov Models (HMM). The HMM are trained on…

Computation and Language · Computer Science 2007-05-23 Jean-Baptiste Maj , Anne Bonneau , Dominique Fohr , Yves Laprie

In a hidden Markov model, the underlying Markov chain is usually hidden. Often, the maximum likelihood alignment (Viterbi alignment) is used as its estimate. Although having the biggest likelihood, the Viterbi alignment can behave very…

Methodology · Statistics 2013-07-31 Kristi Kuljus , Jüri Lember

We present a polyphonic MIDI score-following algorithm capable of following performances with arbitrary repeats and skips, based on a probabilistic model of musical performances. It is attractive in practical applications of score following…

Artificial Intelligence · Computer Science 2014-07-08 Eita Nakamura , Tomohiko Nakamura , Yasuyuki Saito , Nobutaka Ono , Shigeki Sagayama

Recently, there has been a surge of interest in using spectral methods for estimating latent variable models. However, it is usually assumed that the distribution of the observations conditioned on the latent variables is either discrete or…

Machine Learning · Statistics 2016-09-22 Kirthevasan Kandasamy , Maruan Al-Shedivat , Eric P. Xing

The Expectation Maximization (EM) algorithm is a versatile tool for model parameter estimation in latent data models. When processing large data sets or data stream however, EM becomes intractable since it requires the whole data set to be…

Statistics Theory · Mathematics 2012-10-18 Sylvain Le Corff , Gersende Fort

Hidden Quantum Markov Models (HQMMs) can be thought of as quantum probabilistic graphical models that can model sequential data. We extend previous work on HQMMs with three contributions: (1) we show how classical hidden Markov models…

Machine Learning · Statistics 2017-10-26 Siddarth Srinivasan , Geoff Gordon , Byron Boots

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

Characterizing the sleep-wake cycle in adolescents is an important prerequisite to better understand the association of abnormal sleep patterns with subsequent clinical and behavioral outcomes. The aim of this research was to develop hidden…

Applications · Statistics 2022-12-22 Semhar B. Ogbagaber , Yifan Cui , Kaigang Li , Ronald J. Iannotti , Paul S. Albert

We consider a Hidden Markov Model (HMM) where the integrated continuous-time Markov chain can be observed at discrete time points perturbed by a Brownian motion. The aim is to derive a filter for the underlying continuous-time Markov chain.…

Probability · Mathematics 2021-07-21 Nicole Bäuerle , Igor Gilitschenski , Uwe D. Hanebeck

Consider the problem of predicting the next symbol given a sample path of length n, whose joint distribution belongs to a distribution class that may have long-term memory. The goal is to compete with the conditional predictor that knows…

Statistics Theory · Mathematics 2024-04-25 Yanjun Han , Tianze Jiang , Yihong Wu

This work attempts to approximate a linear Gaussian system with a finite-state hidden Markov model (HMM), which is found useful in solving sophisticated event-based state estimation problems. An indirect modeling approach is developed,…

Systems and Control · Electrical Eng. & Systems 2020-07-10 Kaikai Zheng , Dawei Shi , Ling Shi

We propose the Gaussian-Linear Hidden Markov model (GLHMM), a generalisation of different types of HMMs commonly used in neuroscience. In short, the GLHMM is a general framework where linear regression is used to flexibly parameterise the…

Neurons and Cognition · Quantitative Biology 2024-10-02 Diego Vidaurre , Laura Masaracchia , Nick Y. Larsen , Lenno R. P. T Ruijters , Sonsoles Alonso , Christine Ahrends , Mark W. Woolrich

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…

Stock market forecasting is a classic problem that has been thoroughly investigated using machine learning and artificial neural network based tools and techniques. Interesting aspects of this problem include its time reliance as well as…

Statistical Finance · Quantitative Finance 2023-02-20 Raihan Tanvir , Md Tanvir Rouf Shawon , Md. Golam Rabiul Alam

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

In this paper, we are interested in optimal decisions in a partially observable Markov universe. Our viewpoint departs from the dynamic programming viewpoint: we are directly approximating an optimal strategic tree depending on the…

General Mathematics · Mathematics 2007-05-23 Frederic Dambreville

Automatic recognition of the quality of movement in human beings is a challenging task, given the difficulty both in defining the constraints that make a movement correct, and the difficulty in using noisy data to determine if these…

Human-Computer Interaction · Computer Science 2016-02-12 Carlos Palma , Augusto Salazar , Francisco Vargas

Hidden Markov models (HMMs) are powerful tools for analysing time series data that depend on discrete underlying but unobserved states. As such, they have gained prominence across numerous empirical disciplines, in particular ecology,…

Methodology · Statistics 2026-03-19 Jan-Ole Fischer

Scripts have been proposed to model the stereotypical event sequences found in narratives. They can be applied to make a variety of inferences including filling gaps in the narratives and resolving ambiguous references. This paper proposes…

Computation and Language · Computer Science 2018-09-12 J. Walker Orr , Prasad Tadepalli , Janardhan Rao Doppa , Xiaoli Fern , Thomas G. Dietterich
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