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Genetic sequence data are well described by hidden Markov models (HMMs) in which latent states correspond to clusters of similar mutation patterns. Theory from statistical genetics suggests that these HMMs are nonhomogeneous (their…

Applications · Statistics 2016-11-03 Lloyd T. Elliott , Yee Whye Teh

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

Hidden Markov models (HMMs) are commonly used to model animal movement data and infer aspects of animal behavior. An HMM assumes that each data point from a time series of observations stems from one of $N$ possible states. The states are…

Hidden Markov models (HMMs) are popular tools for analysing animal behaviour based on movement, acceleration and other sensor data. In particular, these models allow to infer how the animal's decision-making process interacts with internal…

Methodology · Statistics 2025-12-22 Maya N. Vienken , Jan-Ole Koslik , Roland Langrock

Recurrent State-space models (RSSMs) are highly expressive models for learning patterns in time series data and system identification. However, these models assume that the dynamics are fixed and unchanging, which is rarely the case in…

Machine Learning · Computer Science 2023-10-16 Vaisakh Shaj , Dieter Buchler , Rohit Sonker , Philipp Becker , Gerhard Neumann

Extracting digital material representations from images is a necessary prerequisite for a quantitative analysis of material properties. Different segmentation approaches have been extensively studied in the past to achieve this task, but…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Julian Grolig , Lars Griem , Michael Selzer , Hans-Ulrich Kauczor , Simon M. F. Triphan , Britta Nestler , Arnd Koeppe

We present a Python implementation for RS-HDMR-GPR (Random Sampling High Dimensional Model Representation Gaussian Process Regression). The method builds representations of multivariate functions with lower-dimensional terms, either as an…

Computation · Statistics 2023-01-27 Owen Ren , Mohamed Ali Boussaidi , Dmitry Voytsekhovsky , Manabu Ihara , Sergei Manzhos

We consider two-state Non-Homogeneous Hidden Markov Models (NHHMMs) for forecasting univariate time series. Given a set of predictors, the time series are modeled via predictive regressions with state dependent coefficients and time-varying…

Methodology · Statistics 2019-07-31 Constandina Koki , Loukia Meligkotsidou , Ioannis Vrontos

Motivation: Profile hidden Markov Models (pHMMs) are a popular and very useful tool in the detection of the remote homologue protein families. Unfortunately, their performance is not always satisfactory when proteins are in the 'twilight…

Artificial Intelligence · Computer Science 2008-12-11 Juliana S Bernardes , Alberto Davila , Vitor Santos Costa , Gerson Zaverucha

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

Hidden Markov models (HMMs) and conditional random fields (CRFs) are two popular techniques for modeling sequential data. Inference algorithms designed over CRFs and HMMs allow estimation of the state sequence given the observations. In…

Artificial Intelligence · Computer Science 2012-02-20 Gungor Polatkan , Oncel Tuzel

We propose a sparse vector autoregressive (VAR) hidden semi-Markov model (HSMM) for modeling temporal and contemporaneous (e.g. spatial) dependencies in multivariate nonstationary time series. The HSMM's generic state distribution is…

Applications · Statistics 2024-04-30 Beniamino Hadj-Amar , Jack Jewson , Marina Vannucci

We recently derived analytical expressions for the pairwise (auto)correlation functions (CFs) between modular layers (MLs) in close-packed structures (CPSs) for the wide class of stacking processes describable as hidden Markov models (HMMs)…

Materials Science · Physics 2014-10-21 P. M. Riechers , D. P. Varn , J. P. Crutchfield

We compute profile likelihoods for a stochastic model of diffusive transport motivated by experimental observations of heat conduction in layered skin tissues. This process is modelled as a random walk in a layered one-dimensional material,…

Hidden Markov models (HMMs) are widely used statistical models for modeling sequential data. The parameter estimation for HMMs from time series data is an important learning problem. The predominant methods for parameter estimation are…

Machine Learning · Computer Science 2014-04-30 Carl Mattfeld

Understanding species-habitat associations is fundamental to ecological sciences and for species conservation. Consequently, various statistical approaches have been designed to infer species-habitat associations. Due to their conceptual…

Accurate and robust recognition and prediction of traffic situation plays an important role in autonomous driving, which is a prerequisite for risk assessment and effective decision making. Although there exist a lot of works dealing with…

Artificial Intelligence · Computer Science 2018-09-11 Jiachen Li , Hengbo Ma , Wei Zhan , Masayoshi Tomizuka

This talk will review a little over a decade's research on applying certain stochastic models to biological sequence analysis. The models themselves have a longer history, going back over 30 years, although many novel variants have arisen…

Probability · Mathematics 2007-05-23 T. P. Speed

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

Discrete-time hidden Markov models are a broadly useful class of latent-variable models with applications in areas such as speech recognition, bioinformatics, and climate data analysis. It is common in practice to introduce temporal…

Applications · Statistics 2017-01-16 Tracy Holsclaw , Arthur M. Greene , Andrew W. Robertson , Padhraic Smyth
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