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We develop a predictive-first optimisation framework for streaming hidden Markov models. Unlike classical approaches that prioritise full posterior recovery under a fully specified generative model, we assume access to regime-specific…

Machine Learning · Statistics 2026-04-13 Gerardo Duran-Martin

Hidden Markov Models (HMMs) are fundamental for modeling sequential data, yet learning their parameters from observations remains challenging. Classical methods like the Baum-Welch algorithm are computationally intensive and prone to local…

Machine Learning · Computer Science 2026-04-27 Reginald Zhiyan Chen , Heng-Sheng Chang , Prashant G. Mehta

In this paper, we establish a robustification of an on-line algorithm for modelling asset prices within a hidden Markov model (HMM). In this HMM framework, parameters of the model are guided by a Markov chain in discrete time, parameters of…

Methodology · Statistics 2013-04-09 Christina Erlwein , Peter Ruckdeschel

Online (also called "recursive" or "adaptive") estimation of fixed model parameters in hidden Markov models is a topic of much interest in times series modelling. In this work, we propose an online parameter estimation algorithm that…

Computation · Statistics 2011-02-16 Olivier Cappé

We present and analyse three online algorithms for learning in discrete Hidden Markov Models (HMMs) and compare them with the Baldi-Chauvin Algorithm. Using the Kullback-Leibler divergence as a measure of generalisation error we draw…

Machine Learning · Statistics 2007-08-20 Roberto C. Alamino , Nestor Caticha

We derive a novel, provably robust, and closed-form Bayesian update rule for online filtering in state-space models in the presence of outliers and misspecified measurement models. Our method combines generalised Bayesian inference with…

We present a model-based approach to learning robust runtime monitors for autonomous systems. Runtime monitors play a crucial role in raising the level of assurance by observing system behavior and predicting potential safety violations. In…

Logic in Computer Science · Computer Science 2026-02-17 Antonina Skurka , Luko van der Maas , Sebastian Junges , Hazem Torfah

Industrial processes generate a massive amount of monitoring data that can be exploited to uncover hidden time losses in the system. This can be used to enhance the accuracy of maintenance policies and increase the effectiveness of the…

Applications · Statistics 2025-08-27 Fernando Miguelez , Josu Doncel , Maria Dolores Ugarte

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

We propose a Bayesian nonparametric mixture model for prediction- and information extraction tasks with an efficient inference scheme. It models categorical-valued time series that exhibit dynamics from multiple underlying patterns (e.g.…

Machine Learning · Statistics 2017-06-21 Jan Reubold , Thorsten Strufe , Ulf Brefeld

Multi-function radars (MFRs) are sophisticated types of sensors with the capabilities of complex agile inter-pulse modulation implementation and dynamic work mode scheduling. The developments in MFRs pose great challenges to modern…

Signal Processing · Electrical Eng. & Systems 2023-08-23 Jiadi Bao , Yunjie Li , Mengtao Zhu , Shafei Wang

We test the robustness of a maximum-likelihood (ML) based classifier where sequential data as observation is corrupted by noise. The hypothesis is that a generative model, that combines the state transitions of a hidden Markov model (HMM)…

Machine Learning · Computer Science 2021-02-16 Anubhab Ghosh , Antoine Honoré , Dong Liu , Gustav Eje Henter , Saikat Chatterjee

The accuracy of moving horizon estimation (MHE) suffers significantly in the presence of measurement outliers. Existing methods address this issue by treating measurements leading to large MHE cost function values as outliers, which are…

Systems and Control · Electrical Eng. & Systems 2023-10-04 Wenhan Cao , Chang Liu , Zhiqian Lan , Shengbo Eben Li , Wei Pan , Angelo Alessandri

This paper is concerned with the online estimation of a nonlinear dynamic system from a series of noisy measurements. The focus is on cases wherein outliers are present in-between normal noises. We assume that the outliers follow an unknown…

Computation · Statistics 2019-05-14 Bin Liu

Robustness to outliers is a central issue in real-world machine learning applications. While replacing a model to a heavy-tailed one (e.g., from Gaussian to Student-t) is a standard approach for robustification, it can only be applied to…

Machine Learning · Statistics 2018-03-01 Futoshi Futami , Issei Sato , Masashi Sugiyama

Linear mixed models (LMMs) are a popular class of methods for analyzing longitudinal and clustered data. However, such models can be sensitive to outliers, and this can lead to biased inference on model parameters and inaccurate prediction…

Methodology · Statistics 2025-03-28 Shonosuke Sugasawa , Francis K. C. Hui , Alan H. Welsh

This paper studies the robustness of quasi-maximum-likelihood (QML) estimation in hidden Markov models (HMMs) when the regime-switching structure is misspecified. Specifically, we examine the case where the true data-generating process…

Econometrics · Economics 2026-01-14 Demian Pouzo , Martin Sola , Zacharias Psaradakis

In this work, we propose an adaptive robust loss function framework for MHE, integrating an adaptive robust loss function to reduce the impact of outliers with a regularization term that avoids naive solutions. The proposed approach…

Robotics · Computer Science 2026-04-07 Nestor Deniz , Guido Sanchez , Fernando Auat Cheein , Leonardo Giovanini

The Baum-Welch (B-W) algorithm is the most widely accepted method for inferring hidden Markov models (HMM). However, it is prone to getting stuck in local optima, and can be too slow for many real-time applications. Spectral learning of…

Machine Learning · Statistics 2024-08-27 Xiaoyuan Ma , Jordan Rodu

In this paper, we study the problem of efficient online reinforcement learning in the infinite horizon setting when there is an offline dataset to start with. We assume that the offline dataset is generated by an expert but with unknown…

Machine Learning · Computer Science 2024-02-05 Dengwang Tang , Rahul Jain , Botao Hao , Zheng Wen
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