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A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows…

Machine Learning · Statistics 2018-06-29 Jonathan Mei , José M. F. Moura

We propose a recurrent neural network for a "model-free" simulation of a dynamical system with unknown parameters without prior knowledge. The deep learning model aims to jointly learn the nonlinear time marching operator and the effects of…

Machine Learning · Computer Science 2021-03-01 Kyongmin Yeo , Dylan E. C. Grullon , Fan-Keng Sun , Duane S. Boning , Jayant R. Kalagnanam

In longitudinal studies, time-varying covariates are often endogenous, meaning their values depend on both their own history and that of the outcome variable. This violates key assumptions of Generalized Linear Mixed Effects Models (GLMMs),…

Behavior prediction based on historical behavioral data have practical real-world significance. It has been applied in recommendation, predicting academic performance, etc. With the refinement of user data description, the development of…

Machine Learning · Computer Science 2023-09-27 Haobing Liu , Yanmin Zhu , Chunyang Wang , Jianyu Ding , Jiadi Yu , Feilong Tang

The paper proposes a latent variable model for binary data coming from an unobserved heterogeneous population. The heterogeneity is taken into account by replacing the traditional assumption of Gaussian distributed factors by a finite…

Methodology · Statistics 2010-10-13 Silvia Cagnone , Cinzia Viroli

Mixtures of linear mixed models are widely used for modelling longitudinal data for which observation times differ between subjects. In typical applications, temporal trends are described using a basis expansion, with basis coefficients…

Methodology · Statistics 2025-11-25 Lucas Kock , Nadja Klein , David J. Nott

Computer-based interactive items have become prevalent in recent educational assessments. In such items, the entire human-computer interactive process is recorded in a log file and is known as the response process. This paper aims at…

Applications · Statistics 2025-01-08 Xueying Tang , Zhi Wang , Qiwei He , Jingchen Liu , Zhiliang Ying

This work considers estimation and forecasting in a multivariate, possibly high-dimensional count time series model constructed from a transformation of a latent Gaussian dynamic factor series. The estimation of the latent model parameters…

Methodology · Statistics 2025-04-07 Younghoon Kim , Marie-Christine Düker , Zachary F. Fisher , Vladas Pipiras

We analyze multivariate ordered discrete response models with a lattice structure, modeling decision makers who narrowly bracket choices across multiple dimensions. These models map latent continuous processes into discrete responses using…

Econometrics · Economics 2025-11-06 Tatiana Komarova , William Matcham

Disentangled representations, where the higher level data generative factors are reflected in disjoint latent dimensions, offer several benefits such as ease of deriving invariant representations, transferability to other tasks,…

Machine Learning · Computer Science 2018-12-31 Abhishek Kumar , Prasanna Sattigeri , Avinash Balakrishnan

Longitudinal data are characterized by the dependence between observations coming from the same individual. In a regression perspective, such a dependence can be usefully ascribed to unobserved features (covariates) specific to each…

Methodology · Statistics 2015-09-07 Maria Francesca Marino , Marco Alfó

In many applications, observed data are influenced by some combination of latent causes. For example, suppose sensors are placed inside a building to record responses such as temperature, humidity, power consumption and noise levels. These…

Machine Learning · Statistics 2020-07-16 Sinead A. Williamson , Michael Minyi Zhang , Paul Damien

Understanding large-scale patterns in student course enrollment is a problem of great interest to university administrators and educational researchers. Yet important decisions are often made without a good quantitative framework of the…

Machine Learning · Computer Science 2019-06-03 Nate Gruver , Ali Malik , Brahm Capoor , Chris Piech , Mitchell L. Stevens , Andreas Paepcke

Cognitive modeling commonly relies on asking participants to complete a battery of varied tests in order to estimate attention, working memory, and other latent variables. In many cases, these tests result in highly variable observation…

We consider the general problem of modeling temporal data with long-range dependencies, wherein new observations are fully or partially predictable based on temporally-distant, past observations. A sufficiently powerful temporal model…

Latent factor models are widely used in the social and behavioral science as scaling tools to map discrete multivariate outcomes into low dimensional, continuous scales. In political science, dynamic versions of classical factor models have…

Applications · Statistics 2026-01-28 Rayleigh Lei , Abel Rodriguez

Multilevel models (mixed-effect models or hierarchical linear models) are now a standard approach to analysing clustered and longitudinal data in the social, behavioural and medical sciences. This review article focuses on multilevel linear…

Methodology · Statistics 2019-07-16 George Leckie

We present a multidimensional data analysis framework for the analysis of ordinal response variables. Underlying the ordinal variables, we assume a continuous latent variable, leading to cumulative logit models. The framework includes…

Methodology · Statistics 2025-10-01 Mark de Rooij , Ligaya Breemer , Dion Woestenburg , Frank Busing

Passive observational data, such as human videos, is abundant and rich in information, yet remains largely untapped by current RL methods. Perhaps surprisingly, we show that passive data, despite not having reward or action labels, can…

Machine Learning · Computer Science 2023-04-12 Dibya Ghosh , Chethan Bhateja , Sergey Levine

This paper proposes a new methodological framework for estimating inferential models with latent variables. It also introduces a new latent variable regression model called LARX: an extension of the ubiquitous autoregressive model with…

Econometrics · Economics 2026-01-09 Daniil Bargman