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This work deals with the analysis of longitudinal ordinal responses. The novelty of the proposed approach is in modeling simultaneously the temporal dynamics of a latent trait of interest, measured via the observed ordinal responses, and…

Methodology · Statistics 2021-11-29 R. Colombi , S. Giordano , M. Kateri

Longitudinal network consists of a sequence of temporal edges among multiple nodes, where the temporal edges are observed in real time. It has become ubiquitous with the rise of online social platform and e-commerce, but largely…

Machine Learning · Statistics 2024-07-02 Haoran Zhang , Junhui Wang

Dynamic networks consist of a sequence of time-varying networks, and it is of great importance to detect the network change points. Most existing methods focus on detecting abrupt change points, necessitating the assumption that the…

Methodology · Statistics 2023-10-13 Yuzhao Zhang , Jingnan Zhang , Yifan Sun , Junhui Wang

Recent years have seen an increasing popularity of learning the sparse \emph{changes} in Markov Networks. Changes in the structure of Markov Networks reflect alternations of interactions between random variables under different regimes and…

Machine Learning · Statistics 2017-01-10 Song Liu , Kenji Fukumizu , Taiji Suzuki

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…

This paper explores the application of Hidden Markov Models (HMM) and Long Short-Term Memory (LSTM) neural networks for economic forecasting, focusing on predicting CPI inflation rates. The study explores a new approach that integrates…

Machine Learning · Computer Science 2025-01-07 Guhan Sivakumar

When learning a hidden Markov model (HMM), sequen- tial observations can often be complemented by real-valued summary response variables generated from the path of hid- den states. Such settings arise in numerous domains, includ- ing many…

Machine Learning · Statistics 2015-12-17 Yizhe Zhang , Ricardo Henao , Lawrence Carin , Jianling Zhong , Alexander J. Hartemink

Many real-world networks are complex dynamical systems, where both local (e.g., changing node attributes) and global (e.g., changing network topology) processes unfold over time. Local dynamics may provoke global changes in the network, and…

Machine Learning · Computer Science 2017-10-10 Wenzhe Li , Dong Guo , Greg Ver Steeg , Aram Galstyan

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…

Methodology · Statistics 2022-01-25 Jasper Ginn , Sebastian Mildiner Moraga , Emmeke Aarts

We introduce an extension of finite mixture models by incorporating skew-normal distributions within a Hidden Markov Model framework. By assuming a constant transition probability matrix and allowing emission distributions to vary according…

Methodology · Statistics 2025-09-25 Andrea Nigri , Marco Forti , Han Lin Shang

The temporal consistency of yearly land-cover maps is of great importance to model the evolution and change of the land cover over the years. In this paper, we focus the attention on a novel approach to classification of yearly satellite…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Gianmarco Perantoni , Giulio Weikmann , Lorenzo Bruzzone

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) form a useful tool for modeling dynamical systems. They are particularly useful for representing environments such as road networks and office…

Artificial Intelligence · Computer Science 2013-01-30 Hagit Shatkay

This work proposes a multi-agent filtering algorithm over graphs for finite-state hidden Markov models (HMMs), which can be used for sequential state estimation or for tracking opinion formation over dynamic social networks. We show that…

Signal Processing · Electrical Eng. & Systems 2022-03-10 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

As deep neural networks continue to revolutionize various application domains, there is increasing interest in making these powerful models more understandable and interpretable, and narrowing down the causes of good and bad predictions. We…

Machine Learning · Statistics 2016-10-04 Viktoriya Krakovna , Finale Doshi-Velez

Hidden Markov Model (HMM) is often regarded as the dynamical model of choice in many fields and applications. It is also at the heart of most state-of-the-art speech recognition systems since the 70's. However, from Gaussian mixture models…

Computation and Language · Computer Science 2016-07-04 Sébastien Gagnon , Jean Rouat

The hidden Markov model (HMM) is a generative model that treats sequential data under the assumption that each observation is conditioned on the state of a discrete hidden variable that evolves in time as a Markov chain. In this paper, we…

Artificial Intelligence · Computer Science 2011-09-07 Emanuele Coviello , Antoni B. Chan , Gert R. G. Lanckriet

Multi-temporal hyperspectral images can be used to detect changed information, which has gradually attracted researchers' attention. However, traditional change detection algorithms have not deeply explored the relevance of spatial and…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Zengfu Hou , Wei Li

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

Machine Learning · Computer Science 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

This work attempts to approximate a linear Gaussian system with a finite-state hidden Markov model (HMM), which is found useful in solving sophisticated event-based state estimation problems. An indirect modeling approach is developed,…

Systems and Control · Electrical Eng. & Systems 2020-07-10 Kaikai Zheng , Dawei Shi , Ling Shi

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