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Related papers: Topological Hidden Markov Models

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In this paper, we introduce a variant of hidden Markov models in which the transition probabilities between the states, as well as the emission distributions, are not constant in time but vary in a periodic manner. This class of models,…

Applications · Statistics 2018-02-23 Augustin Touron

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

Over the last decade, hidden Markov models (HMMs) have become increasingly popular in statistical ecology, where they constitute natural tools for studying animal behavior based on complex sensor data. Corresponding analyses sometimes…

Methodology · Statistics 2025-10-15 Jan-Ole Koslik , Carlina C. Feldmann , Sina Mews , Rouven Michels , Roland Langrock

Stochastic modelling is an essential component of the quantitative sciences, with hidden Markov models (HMMs) often playing a central role. Concurrently, the rise of quantum technologies promises a host of advantages in computational…

Quantum Physics · Physics 2021-06-22 Thomas J. Elliott

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

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 paper considers hidden Markov models where the observations are given as the sum of a latent state which lies in a general state space and some independent noise with unknown distribution. It is shown that these fully nonparametric…

Statistics Theory · Mathematics 2020-01-30 Elisabeth Gassiat , Sylvain Le Corff , Luc Lehéricy

Hidden Markov models (HMMs) and their extensions have proven to be powerful tools for classification of observations that stem from systems with temporal dependence as they take into account that observations close in time are likely…

Applications · Statistics 2021-11-22 Sofia Ruiz-Suarez , Vianey Leos-Barajas , Juan Manuel Morales

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

Latent variable models are widely used to perform unsupervised segmentation of time series in different context such as robotics, speech recognition, and economics. One of the most widely used latent variable model is the Auto-Regressive…

Robotics · Computer Science 2023-08-11 Michele Ginesi , Paolo Fiorini

Hidden Markov models have successfully been applied as models of discrete time series in many fields. Often, when applied in practice, the parameters of these models have to be estimated. The currently predominating identification methods,…

Machine Learning · Statistics 2015-07-24 Robert Mattila , Cristian R. Rojas , Bo Wahlberg

Non-homogeneous hidden Markov models (NHHMM) are a subclass of dependent mixture models used for semi-supervised learning, where both transition probabilities between the latent states and mean parameter of the probability distribution of…

Machine Learning · Statistics 2019-12-23 Aliaksandr Hubin

Hidden Markov Models (HMMs) comprise a powerful generative approach for modeling sequential data and time-series in general. However, the commonly employed assumption of the dependence of the current time frame to a single or multiple…

Machine Learning · Computer Science 2021-09-13 Konstantinos P. Panousis , Sotirios Chatzis , Sergios Theodoridis

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…

We demonstrate the application of pattern recognition algorithms via hidden Markov models (HMM) for qubit readout. This scheme provides a state-path trajectory approach capable of detecting qubit state transitions and makes for a robust…

Quantum Physics · Physics 2021-01-04 Luis A. Martinez , Yaniv J. Rosen , Jonathan L. DuBois

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

A hidden Markov model (HMM) scheme for tracking continuous-wave gravitational radiation from neutron stars in low-mass X-ray binaries (LMXBs) with wandering spin is extended by introducing a frequency-domain matched filter, called the…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 S. Suvorova , P. Clearwater , A. Melatos , L. Sun , W. Moran , R. J. Evans

We consider the smoothing probabilities of hidden Markov model (HMM). We show that under fairly general conditions for HMM, the exponential forgetting still holds, and the smoothing probabilities can be well approximated with the ones of…

Machine Learning · Statistics 2011-05-11 J. Lember

Hidden Markov models (HMMs) are popular time series model in many fields including ecology, economics and genetics. HMMs can be defined over discrete or continuous time, though here we only cover the former. In the field of movement ecology…

Quantitative Methods · Quantitative Biology 2018-06-29 Vianey Leos-Barajas , Théo Michelot

Automated fault localization is an important issue in model validation and verification. It helps the end users in analyzing the origin of failure. In this work, we show the early experiments with probabilistic analysis approaches in fault…

Software Engineering · Computer Science 2016-11-21 Ning Ge , Marc Pantel , Xavier Crégut
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