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We propose a model of inference and heuristic decision-making in groups that is rooted in the Bayes rule but avoids the complexities of rational inference in partially observed environments with incomplete information, which are…

多智能体系统 · 计算机科学 2016-11-04 M. Amin Rahimian , Ali Jadbabaie

We propose a Machine Learning approach for optimal macroeconomic density forecasting in a high-dimensional setting where the underlying model exhibits a known group structure. Our approach is general enough to encompass specific forecasting…

计量经济学 · 经济学 2024-11-18 Matteo Mogliani , Anna Simoni

We propose a method for simultaneously detecting shared and unshared communities in heterogeneous multilayer weighted and undirected networks. The multilayer network is assumed to follow a generative probabilistic model that takes into…

社会与信息网络 · 计算机科学 2019-06-25 Hafiz Tiomoko Ali , Sijia Liu , Yasin Yilmaz , Romain Couillet , Indika Rajapakse , Alfred Hero

In many complex applications, data heterogeneity and homogeneity exist simultaneously. Ignoring either one will result in incorrect statistical inference. In addition, coping with complex data that are non-Euclidean becomes more common. To…

统计方法学 · 统计学 2021-05-28 Zixuan Han , Tao Li , Jinhong You

Heterogeneity is a hallmark of complex diseases. Regression-based heterogeneity analysis, which is directly concerned with outcome-feature relationships, has led to a deeper understanding of disease biology. Such an analysis identifies the…

统计方法学 · 统计学 2022-11-29 Ziye Luo , Xinyue Yao , Yifan Sun , Xinyan Fan

In this paper, we propose a general framework for combining evidence of varying quality to estimate underlying binary latent variables in the presence of restrictions imposed to respect the scientific context. The resulting algorithms…

统计方法学 · 统计学 2018-08-28 Zhenke Wu , Livia Casciola-Rosen , Antony Rosen , Scott L. Zeger

In this work we propose a novel approach for modeling spatio-temporal data characterized by group structures. In particular, we extend classical mixed effect regression models by introducing a space-time nonparametric component, regularized…

统计方法学 · 统计学 2025-11-18 Marco F. De Sanctis , Eleonora Arnone , Francesca Ieva , Laura M. Sangalli

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…

统计方法学 · 统计学 2010-10-13 Silvia Cagnone , Cinzia Viroli

We propose a Bayesian propensity score-augmented latent factor model for causal inference with time-series cross-sectional data. The framework explicitly models the treatment assignment mechanism by incorporating latent factor loadings,…

统计方法学 · 统计学 2026-03-27 Licheng Liu

An old problem in multivariate statistics is that linear Gaussian models are often unidentifiable, i.e. some parameters cannot be uniquely estimated. In factor (component) analysis, an orthogonal rotation of the factors is unidentifiable,…

机器学习 · 统计学 2023-05-04 Aapo Hyvärinen , Ilyes Khemakhem , Ricardo Monti

This paper considers a linear panel model with interactive fixed effects and unobserved individual and time heterogeneities that are captured by some latent group structures and an unknown structural break, respectively. To enhance realism…

计量经济学 · 经济学 2023-08-01 Yiren Wang , Peter C B Phillips , Liangjun Su

Hierarchical probabilistic models, such as Gaussian mixture models, are widely used for unsupervised learning tasks. These models consist of observable and latent variables, which represent the observable data and the underlying…

机器学习 · 统计学 2015-03-26 Keisuke Yamazaki

This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

计量经济学 · 经济学 2025-11-25 Oguzhan Akgun , Ryo Okui

Analyzing data collected from multiple sources to estimate common and heterogeneous structures through a hierarchical model is a central task in Bayesian inference, and to this end, Bayesian factor models are one of the most widely used…

统计方法学 · 统计学 2026-03-04 Naoki Awaya , Keisuke Sasaki , Genya Kobayashi , Shonosuke Sugasawa

High-dimensional data must be highly structured to be learnable. Although the compositional and hierarchical nature of data is often put forward to explain learnability, quantitative measurements establishing these properties are scarce.…

机器学习 · 统计学 2025-03-04 Antonio Sclocchi , Alessandro Favero , Noam Itzhak Levi , Matthieu Wyart

Linear mixed-effects models are a central analytical tool for modeling hierarchical and longitudinal data, as they allow simultaneous representation of fixed and random sources of variation. In practice, inference for such models is most…

统计方法学 · 统计学 2026-02-12 Hilde Vinje , Lars Erik Gangsei

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

统计方法学 · 统计学 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil

Genetic association analyses often involve data from multiple potentially-heterogeneous subgroups. The expected amount of heterogeneity can vary from modest (e.g., a typical meta-analysis) to large (e.g., a strong gene--environment…

统计方法学 · 统计学 2014-04-15 Xiaoquan Wen , Matthew Stephens

Discovering and parameterising latent confounders represent important and challenging problems in causal structure learning and density estimation respectively. In this paper, we focus on both discovering and learning the distribution of…

机器学习 · 计算机科学 2022-08-23 Kiattikun Chobtham , Anthony C. Constantinou

Causal learning has long concerned itself with the accurate recovery of underlying causal mechanisms. Such causal modelling enables better explanations of out-of-distribution data. Prior works on causal learning assume that the high-level…