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Hidden Markov Models (HMMs) comprise a powerful generative approach for modeling sequential data and time-series in general. However, the commonly employed assumption of the dependence of the current time frame to a single or multiple…

Machine Learning · Computer Science 2021-09-13 Konstantinos P. Panousis , Sotirios Chatzis , Sergios Theodoridis

Conditional local independence is an asymmetric independence relation among continuous time stochastic processes. It describes whether the evolution of one process is directly influenced by another process given the histories of additional…

Statistics Theory · Mathematics 2024-02-26 Alexander Mangulad Christgau , Lasse Petersen , Niels Richard Hansen

Deep learning models have achieved strong performance in medical image analysis, but their internal decision processes remain difficult to interpret. Concept Bottleneck Models (CBMs) partially address this limitation by structuring…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Getamesay Dagnaw , Xuefei Yin , Muhammad Hassan Maqsood , Yanming Zhu , Alan Wee-Chung Liew

This work reports the most relevant technical aspects in the problem of learning the \emph{Markov network structure} from data. Such problem has become increasingly important in machine learning, and many other application fields of machine…

Artificial Intelligence · Computer Science 2013-11-21 Federico Schlüter

Differential item functioning (DIF) detection is an important yet understudied problem in computerized adaptive testing (CAT). In this article, we proposed a two-level logistic model to improve DIF detection in CAT by explicitly accounting…

Applications · Statistics 2026-05-05 Dandan Chen Kaptur , Justin Kern , Chingwei David Shin , Jinming Zhang

This paper studies semi-supervised object classification in relational data, which is a fundamental problem in relational data modeling. The problem has been extensively studied in the literature of both statistical relational learning…

Machine Learning · Computer Science 2020-07-27 Meng Qu , Yoshua Bengio , Jian Tang

This study introduces an integrated framework for predictive causal inference designed to overcome limitations inherent in conventional single model approaches. Specifically, we combine a Hidden Markov Model (HMM) for spatial health state…

Methodology · Statistics 2025-10-31 Byunghee Lee , Hye Yeon Sin , Joonsung Kang

Classical graphical modeling of multivariate random vectors uses graphs to encode conditional independence. In graphical modeling of multivariate stochastic processes, graphs may encode so-called local independence analogously. If some…

Statistics Theory · Mathematics 2023-02-27 Søren Wengel Mogensen

We introduce the network model as a formal psychometric model, conceptualizing the covariance between psychometric indicators as resulting from pairwise interactions between observable variables in a network structure. This contrasts with…

Statistics Theory · Mathematics 2026-05-06 Sacha Epskamp , Mijke Rhemtulla , Denny Borsboom

The parameters of a discrete stationary Markov model are transition probabilities between states. Traditionally, data consist in sequences of observed states for a given number of individuals over the whole observation period. In such a…

Computation · Statistics 2012-04-30 Alberto Pasanisi , Shuai Fu , Nicolas Bousquet

Collaborative filtering (CF) is the key technique for recommender systems. Pure CF approaches exploit the user-item interaction data (e.g., clicks, likes, and views) only and suffer from the sparsity issue. Items are usually associated with…

Information Retrieval · Computer Science 2020-10-19 Guangneng Hu , Yu Zhang , Qiang Yang

Dynamic Causal Modeling (DCM) is a Bayesian framework for inferring on hidden (latent) neuronal states, based on measurements of brain activity. Since its introduction in 2003 for functional magnetic resonance imaging data, DCM has been…

Quantitative Methods · Quantitative Biology 2021-04-08 Inês Pereira , Stefan Frässle , Jakob Heinzle , Dario Schöbi , Cao Tri Do , Moritz Gruber , Klaas E. Stephan

Existing methods for differentiable structure learning in discrete data typically assume that the data are generated from specific structural equation models. However, these assumptions may not align with the true data-generating process,…

Machine Learning · Computer Science 2025-10-28 Chang Deng , Bryon Aragam

Data-based inference of directed interactions in complex dynamical systems is a problem common to many disciplines of science. In this work, we study networks of spatially separate dynamical entities, which could represent physical systems…

Statistical Mechanics · Physics 2024-03-15 Tim Hempel , Sarah A. M. Loos

In this paper, we derive copula-based and empirical dependency models (DMs) for simulating non-independent variables, and then propose a new way for determining the distribution of the model outputs conditional on every subset of inputs.…

Statistics Theory · Mathematics 2022-09-12 Matieyendou Lamboni

Recommender systems often use latent features to explain the behaviors of users and capture the properties of items. As users interact with different items over time, user and item features can influence each other, evolve and co-evolve…

Machine Learning · Computer Science 2017-03-01 Hanjun Dai , Yichen Wang , Rakshit Trivedi , Le Song

Dropout represents a typical issue to be addressed when dealing with longitudinal studies. If the mechanism leading to missing information is non-ignorable, inference based on the observed data only may be severely biased. A frequent…

Methodology · Statistics 2018-03-23 Maria Francesca Marino , Marco Alfo'

Graph neural networks (GNN) have recently been applied to exploit knowledge graph (KG) for recommendation. Existing GNN-based methods explicitly model the dependency between an entity and its local graph context in KG (i.e., the set of its…

Information Retrieval · Computer Science 2020-04-27 Susen Yang , Yong Liu , Yonghui Xu , Chunyan Miao , Min Wu , Juyong Zhang

The analysis of high-dimensional time series data has become increasingly important across a wide range of fields. Recently, a method for constructing the minimum information Markov kernel on finite state spaces was established. In this…

Methodology · Statistics 2026-01-13 Issey Sukeda , Tomonari Sei

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede