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We present an asymptotic analysis of Viterbi Training (VT) and contrast it with a more conventional Maximum Likelihood (ML) approach to parameter estimation in Hidden Markov Models. While ML estimator works by (locally) maximizing the…

Machine Learning · Statistics 2013-12-18 Armen E. Allahverdyan , Aram Galstyan

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…

Hidden Markov models (HMMs) have been successfully applied to automatic speech recognition for more than 35 years in spite of the fact that a key HMM assumption -- the statistical independence of frames -- is obviously violated by speech…

Computation and Language · Computer Science 2010-03-02 Steven Wegmann , Larry Gillick

Time series subject to change in regime have attracted much interest in domains such as econometry, finance or meteorology. For discrete-valued regimes, some models such as the popular Hidden Markov Chain (HMC) describe time series whose…

Machine Learning · Computer Science 2021-02-26 Fatoumata Dama , Christine Sinoquet

Humans make daily routine decisions based on their internal states in intricate interaction scenarios. This paper presents a probabilistically reconstructive learning approach to identify the internal states of multi-vehicle sequential…

Robotics · Computer Science 2021-08-17 Huanjie Wang , Wenshuo Wang , Shihua Yuan , Xueyuan Li

We present a case study applying learning-based distributionally robust model predictive control to highway motion planning under stochastic uncertainty of the lane change behavior of surrounding road users. The dynamics of road users are…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Mathijs Schuurmans , Alexander Katriniok , Christopher Meissen , H. Eric Tseng , Panagiotis Patrinos

1. Hidden Markov models (HMMs) are powerful tools for modelling time-series data with underlying state structure. However, selecting appropriate parametric forms for the state-dependent distributions is often challenging and can lead to…

It is important to predict any adversarial attacks and their types to enable effective defense systems. Often it is hard to label such activities as malicious ones without adequate analytical reasoning. We propose the use of Hidden Markov…

Cryptography and Security · Computer Science 2021-06-04 Shuvalaxmi Dass , Prerit Datta , Akbar Siami Namin

We consider the task of learning mappings from sequential data to real-valued responses. We present and evaluate an approach to learning a type of hidden Markov model (HMM) for regression. The learning process involves inferring the…

Machine Learning · Computer Science 2012-06-18 Keith Noto , Mark Craven

Hidden Markov models (HMMs) offer a robust and efficient framework for analyzing time series data, modelling both the underlying latent state progression over time and the observation process, conditional on the latent state. However, a…

Applications · Statistics 2024-07-19 Ioannis Rotous , Alex Diana , Alessio Farcomeni , Eleni Matechou , Andréa Thiebault

We show how models for prediction with expert advice can be defined concisely and clearly using hidden Markov models (HMMs); standard HMM algorithms can then be used to efficiently calculate, among other things, how the expert predictions…

Machine Learning · Computer Science 2008-02-15 Wouter Koolen , Steven de Rooij

We propose DenseHMM - a modification of Hidden Markov Models (HMMs) that allows to learn dense representations of both the hidden states and the observables. Compared to the standard HMM, transition probabilities are not atomic but composed…

Machine Learning · Computer Science 2020-12-18 Joachim Sicking , Maximilian Pintz , Maram Akila , Tim Wirtz

We present a path planning framework that takes into account the human's safety perception in the presence of a flying robot. The framework addresses two objectives: (i) estimation of the uncertain parameters of the proposed safety…

We present an efficient exact algorithm for estimating state sequences from outputs (or observations) in imprecise hidden Markov models (iHMM), where both the uncertainty linking one state to the next, and that linking a state to its…

Artificial Intelligence · Computer Science 2012-10-08 Jasper De Bock , Gert de Cooman

In complex lane change (LC) scenarios, semantic interpretation and safety analysis of dynamic interactive pattern are necessary for autonomous vehicles to make appropriate decisions. This study proposes an unsupervised learning framework…

Signal Processing · Electrical Eng. & Systems 2021-05-25 Yue Zhang , Yajie Zou , Lingtao Wu

We introduce the Reduced-Rank Hidden Markov Model (RR-HMM), a generalization of HMMs that can model smooth state evolution as in Linear Dynamical Systems (LDSs) as well as non-log-concave predictive distributions as in…

Machine Learning · Computer Science 2009-12-23 Sajid M. Siddiqi , Byron Boots , Geoffrey J. Gordon

This paper presents a new and flexible prognostics framework based on a higher order hidden semi-Markov model (HOHSMM) for systems or components with unobservable health states and complex transition dynamics. The HOHSMM extends the basic…

Applications · Statistics 2020-02-14 Ying Liao , Yisha Xiang , Min Wang

Hidden Markov models (HMMs) are widely applied in studies where a discrete-valued process of interest is observed indirectly. They have for example been used to model behaviour from human and animal tracking data, disease status from…

Methodology · Statistics 2025-05-22 Théo Michelot

The impact of randomness on model training is poorly understood. How do differences in data order and initialization actually manifest in the model, such that some training runs outperform others or converge faster? Furthermore, how can we…

Machine Learning · Computer Science 2024-01-23 Michael Y. Hu , Angelica Chen , Naomi Saphra , Kyunghyun Cho

Hidden Markov models (HMMs) are a versatile statistical framework commonly used in ecology to characterize behavioural patterns from animal movement data. In HMMs, the observed data depend on a finite number of underlying hidden states,…

Methodology · Statistics 2024-12-24 Fanny Dupont , Marianne Marcoux , Nigel Hussey , Marie Auger-Méthé
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