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We develop Graph-Coupled Hidden Markov Models (GCHMMs) for modeling the spread of infectious disease locally within a social network. Unlike most previous research in epidemiology, which typically models the spread of infection at the level…

社会与信息网络 · 计算机科学 2012-10-19 Wen Dong , Alex Pentland , Katherine A. Heller

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

Sequence analysis is being more and more widely used for the analysis of social sequences and other multivariate categorical time series data. However, it is often complex to describe, visualize, and compare large sequence data, especially…

统计计算 · 统计学 2021-03-22 Satu Helske , Jouni Helske

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.…

机器学习 · 统计学 2017-06-21 Jan Reubold , Thorsten Strufe , Ulf Brefeld

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…

人工智能 · 计算机科学 2011-09-07 Emanuele Coviello , Antoni B. Chan , Gert R. G. Lanckriet

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…

信号处理 · 电气工程与系统科学 2022-03-10 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

In unsupervised classification, Hidden Markov Models (HMM) are used to account for a neighborhood structure between observations. The emission distributions are often supposed to belong to some parametric family. In this paper, a…

We propose and investigate a unifying class of sparse random graph models, based on a hidden coloring of edge-vertex incidences, extending an existing approach, Random graphs with a given degree distribution, in a way that admits a…

统计力学 · 物理学 2009-11-10 Bo Söderberg

We show how Markov mixed membership models (MMMM) can be used to predict the degradation of assets. We model the degradation path of individual assets, to predict overall failure rates. Instead of a separate distribution for each hidden…

机器学习 · 计算机科学 2020-06-03 Paul Hofmann , Zaid Tashman

We propose a new model, the Neighbor Mixture Model (NMM), for modeling node labels in a graph. This model aims to capture correlations between the labels of nodes in a local neighborhood. We carefully design the model so it could be an…

机器学习 · 计算机科学 2021-04-20 Linfeng Liu , Michael C. Hughes , Li-Ping Liu

We present a graph-regularized learning of Gaussian Mixture Models (GMMs) in distributed settings with heterogeneous and limited local data. The method exploits a provided similarity graph to guide parameter sharing among nodes, avoiding…

机器学习 · 计算机科学 2025-09-18 Shamsiiat Abdurakhmanova , Alex Jung

In this work we propose a Bayesian framework for data fusion of multivariate signals which arises in imaging systems. More specifically, we consider the case where we have observed two images of the same object through two different imaging…

数据分析、统计与概率 · 物理学 2007-05-23 Olivier Feron , Ali Mohammad-Djafari

Hidden Markov Models (HMMs) are powerful tools for modeling sequential data, where the underlying states evolve in a stochastic manner and are only indirectly observable. Traditional HMM approaches are well-established for linear sequences,…

机器学习 · 统计学 2024-06-05 Farzan Vafa , Sahand Hormoz

We consider unsupervised estimation of mixtures of discrete graphical models, where the class variable corresponding to the mixture components is hidden and each mixture component over the observed variables can have a potentially different…

机器学习 · 统计学 2012-07-03 A. Anandkumar , D. Hsu , F. Huang , S. M. Kakade

Hidden Markov Models, HMM's, are mathematical models of Markov processes with state that is hidden, but from which information can leak. They are typically represented as 3-way joint-probability distributions. We use HMM's as denotations of…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Annabelle McIver , Carroll Morgan , Tahiry Rabehaja

Analysis of multivariate healthcare time series data is inherently challenging: irregular sampling, noisy and missing values, and heterogeneous patient groups with different dynamics violating exchangeability. In addition, interpretability…

机器学习 · 计算机科学 2023-11-15 Onur Poyraz , Pekka Marttinen

Hidden Markov models (HMMs) are one of the most widely used statistical methods for analyzing sequence data. However, the reporting of output from HMMs has largely been restricted to the presentation of the most-probable (MAP) hidden state…

统计方法学 · 统计学 2015-05-01 Michalis K. Titsias , Christopher Yau , Christopher C. Holmes

In this paper, we propose an algorithm for estimating the parameters of a time-homogeneous hidden Markov model from aggregate observations. This problem arises when only the population level counts of the number of individuals at each time…

机器学习 · 计算机科学 2021-11-16 Rahul Singh , Qinsheng Zhang , Yongxin Chen

Social networks have a small number of large hubs, and a large number of small dense communities. We propose a generative model that captures both hub and dense structures. Based on recent results about graphons on line graphs, our model is…

机器学习 · 统计学 2025-10-10 Sevvandi Kandanaarachchi , Cheng Soon Ong

Hidden Markov Model (HMM) combined with Gaussian Process (GP) emission can be effectively used to estimate the hidden state with a sequence of complex input-output relational observations. Especially when the spectral mixture (SM) kernel is…

机器学习 · 计算机科学 2020-01-08 Yohan Jung , Jinkyoo Park
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