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This paper presents a novel methodology for modelling precipitation patterns in a specific geographical region using Hidden Markov Models (HMMs). Departing from conventional HMMs, where the hidden state process is assumed to be Markovian,…

Methodology · Statistics 2025-08-05 M. L. Gamiz , D. Montoro , M. C Segovia-Garcia

The problem of situational awareness (SAW) is investigated from the probabilistic modeling point of view. Taking the situation as a hidden variable, we introduce a hidden Markov model (HMM) and an extended state space model (ESSM) to…

Applications · Statistics 2015-10-08 Bin Liu

Energy-based models (EBMs) implement inference as gradient descent on a learned Lyapunov function, yielding interpretable, structure-preserving alternatives to black-box neural ODEs and aligning naturally with physical AI. Yet their use in…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Simone Betteti , Luca Laurenti

Financial markets alternate between tranquil periods and episodes of stress, and return dynamics can change substantially across these regimes. We study regime-dependent dynamics in developed and developing equity indices using a…

Statistical Finance · Quantitative Finance 2026-01-14 Salam Rabindrajit Luwang , Buddha Nath Sharma , Kundan Mukhia , Md. Nurujjaman , Anish Rai , Filippo Petroni , Luis E. C. Rocha

Detecting recurrent weather patterns and understanding the transitions between such regimes are key to advancing our knowledge on the low-frequency variability of the atmosphere and have important implications in terms of weather and…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Sebastian Springer , Vera Melinda Galfi , Alessandro Laio , Valerio Lucarini

As part of optimizing the reliability, Thales Optronics now includes systems that examine the state of its equipment. The aim of this paper is to use hidden Markov Model to detect as soon as possible a change of state of optronic equipment…

Applications · Statistics 2012-12-12 Camille Baysse , Didier Bihannic , Anne Gégout-Petit , Michel Prenat , Jérôme Saracco

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

A nonhomogeneous hidden semi-Markov model is proposed to segment toroidal time series according to a finite number of latent regimes and, simultaneously, estimate the influence of time-varying covariates on the process' survival under each…

Applications · Statistics 2023-12-25 Francesco Lagona , Marco Mingione

In this study, we develop an approach to multivariate time series anomaly detection focused on the transformation of multivariate time series to univariate time series. Several transformation techniques involving Fuzzy C-Means (FCM)…

Artificial Intelligence · Computer Science 2025-11-12 Jinbo Li , Witold Pedrycz , Iqbal Jamal

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

We propose an information theoretic framework for quantitative assessment of acoustic modeling for hidden Markov model (HMM) based automatic speech recognition (ASR). Acoustic modeling yields the probabilities of HMM sub-word states for a…

Sound · Computer Science 2017-11-09 Pranay Dighe , Afsaneh Asaei , Hervé Bourlard

Use of accelerometers is now widespread within animal biotelemetry as they provide a means of measuring an animal's activity in a meaningful and quantitative way where direct observation is not possible. In sequential acceleration data…

Cyber threat intelligence is one of the emerging areas of focus in information security. Much of the recent work has focused on rule-based methods and detection of network attacks using Intrusion Detection algorithms. In this paper we…

Machine Learning · Computer Science 2024-09-05 Soham Deshmukh , Rahul Rade , Faruk Kazi

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…

We consider Markov models of stochastic processes where the next-step conditional distribution is defined by a kernel density estimator (KDE), similar to Markov forecast densities and certain time-series bootstrap schemes. The KDE Markov…

Machine Learning · Computer Science 2018-07-31 Gustav Eje Henter , Arne Leijon , W. Bastiaan Kleijn

Lane determination and lane sequence determination are important components for many Connected and Automated Vehicle (CAV) applications. Lane determination has been solved using Hidden Markov Model (HMM) among other methods. The existing…

Robotics · Computer Science 2025-05-13 Mike Stas , Wang Hu , Jay A. Farrell

The increasing penetration of renewable energy sources, characterised by low inertia and intermittent disturbances, presents substantial challenges to power system stability. As critical indicators of system stability, frequency dynamics…

Systems and Control · Electrical Eng. & Systems 2025-02-19 Xiao Li , Xinyi Wen , Benjamin Schäfer

Analysis of sequential event data has been recognized as one of the essential tools in data modeling and analysis field. In this paper, after the examination of its technical requirements and issues to model complex but practical situation,…

Artificial Intelligence · Computer Science 2015-08-21 Hiromi Narimatsu , Hiroyuki Kasai

Sequential data modeling and analysis have become indispensable tools for analyzing sequential data, such as time-series data, because larger amounts of sensed event data have become available. These methods capture the sequential structure…

Artificial Intelligence · Computer Science 2019-02-15 Hiromi Narimatsu , Hiroyuki Kasai

Hidden Markov models (HMMs) are popular models to identify a finite number of latent states from sequential data. However, fitting them to large data sets can be computationally demanding because most likelihood maximization techniques…