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Hidden Markov Models (HMMs) are one of the most fundamental and widely used statistical tools for modeling discrete time series. In general, learning HMMs from data is computationally hard (under cryptographic assumptions), and…

机器学习 · 计算机科学 2012-07-10 Daniel Hsu , Sham M. Kakade , Tong Zhang

Most statistical process monitoring methods for multichannel profiles focus solely on the mean and are almost ineffective when changes involve the covariance structure. Although it is known to be crucial, covariance monitoring requires…

统计方法学 · 统计学 2026-03-06 Christian Capezza , Davide Forcina , Antonio Lepore , Biagio Palumbo

Spurred in part by the ever-growing number of sensors and web-based methods of collecting data, the use of Intensive Longitudinal Data (ILD) is becoming more common in the social and behavioural sciences. The ILD collected in this field are…

统计方法学 · 统计学 2022-01-25 Jasper Ginn , Sebastian Mildiner Moraga , Emmeke Aarts

A hidden Markov model is developed to simulate tropical cyclone intensity evolution dependent on the surrounding large-scale environment. The model considers three unobserved (hidden) discrete states of intensification and associates each…

应用统计 · 统计学 2020-01-08 Renzhi Jing , Ning Lin

The proliferation of malware variants poses a significant challenges to traditional malware detection approaches, such as signature-based methods, necessitating the development of advanced machine learning techniques. In this research, we…

机器学习 · 计算机科学 2024-12-30 Ritik Mehta , Olha Jureckova , Mark Stamp

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…

机器学习 · 计算机科学 2026-04-27 Reginald Zhiyan Chen , Heng-Sheng Chang , Prashant G. Mehta

Discrete latent space models have recently achieved performance on par with their continuous counterparts in deep variational inference. While they still face various implementation challenges, these models offer the opportunity for a…

机器学习 · 统计学 2023-08-22 Max Cohen , Maurice Charbit , Sylvain Le Corff

We propose a unified framework that extends the inference methods for classical hidden Markov models to continuous settings, where both the hidden states and observations occur in continuous time. Two different settings are analyzed: hidden…

统计方法学 · 统计学 2021-06-18 Qingcan Wang , Weinan E

Hidden Markov models (HMMs) are probabilistic functions of finite Markov chains, or, put in other words, state space models with finite state space. In this paper, we examine subspace estimation methods for HMMs whose output lies a finite…

统计理论 · 数学 2009-11-20 Sofia Andersson , Tobias Rydén

Understanding the merging behavior patterns at freeway on-ramps is important for assistanting the decisions of autonomous driving. This study develops a primitive-based framework to identify the driving patterns during merging processes and…

信号处理 · 电气工程与系统科学 2021-08-03 Yue Zhang , Yajie Zou , Lingtao Wuand Wanbing Han

We consider a class of high-dimensional spatial filtering problems, where the spatial locations of observations are unknown and driven by the partially observed hidden signal. This problem is exceptionally challenging as not only is…

统计方法学 · 统计学 2024-03-07 Hamza Ruzayqat , Alexandros Beskos , Dan Crisan , Ajay Jasra , Nikolas Kantas

A key question in brain sciences is how to identify time-evolving functional connectivity, such as that obtained from recordings of neuronal activity over time. We wish to explain the observed phenomena in terms of latent states which, in…

统计方法学 · 统计学 2026-05-14 Yiwei Gong , Susanna B. Mierau , Sinead A. Williamson

Cis-regulatory modules (CRMs) composed of multiple transcription factor binding sites (TFBSs) control gene expression in eukaryotic genomes. Comparative genomic studies have shown that these regulatory elements are more conserved across…

应用统计 · 统计学 2007-09-14 Qing Zhou , Wing Hung Wong

Predicting future operational risk losses gives rise to a significant challenge due to the heterogeneous and time-dependent structures present in real-world data. Furthermore, stress test exercises require examining the relationship with…

风险管理 · 定量金融 2026-04-24 Nikeethan Selvaratnam , Dorinel Bastide , Clément Fernandes , Wojciech Pieczynski

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…

应用统计 · 统计学 2023-12-25 Francesco Lagona , Marco Mingione

We consider probabilistic systems with hidden state and unobservable transitions, an extension of Hidden Markov Models (HMMs) that in particular admits unobservable {\epsilon}-transitions (also called null transitions), allowing state…

机器学习 · 计算机科学 2022-05-30 Rebecca Bernemann , Barbara König , Matthias Schaffeld , Torben Weis

Hidden semi-Markov models generalise hidden Markov models by explicitly modelling the time spent in a given state, the so-called dwell time, using some distribution defined on the natural numbers. While the (shifted) Poisson and negative…

统计方法学 · 统计学 2021-02-17 Jennifer Pohle , Timo Adam , Larissa T. Beumer

Performance evaluation of nursing homes is usually accomplished by the repeated administration of questionnaires aimed at measuring the health status of the patients during their period of residence in the nursing home. We illustrate how a…

应用统计 · 统计学 2009-08-18 Francesco Bartolucci , Monia Lupparelli , Giorgio E. Montanari

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…

机器学习 · 计算机科学 2012-06-18 Keith Noto , Mark Craven

Hidden Markov models (HMM) have been widely used by scientists to model stochastic systems: the underlying process is a discrete Markov chain and the observations are noisy realizations of the underlying process. Determining the number of…

统计理论 · 数学 2024-07-18 Yang Chen , Cheng-Der Fuh , Chu-Lan Michael Kao
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