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We propose a method to improve the efficiency and accuracy of amortized Bayesian inference by leveraging universal symmetries in the joint probabilistic model of parameters and data. In a nutshell, we invert Bayes' theorem and estimate the…

Machine Learning · Computer Science 2024-07-24 Marvin Schmitt , Desi R. Ivanova , Daniel Habermann , Ullrich Köthe , Paul-Christian Bürkner , Stefan T. Radev

It is difficult to use subsampling with variational inference in hierarchical models since the number of local latent variables scales with the dataset. Thus, inference in hierarchical models remains a challenge at large scale. It is…

Machine Learning · Computer Science 2021-11-08 Abhinav Agrawal , Justin Domke

Additive regression models have a long history in multivariate nonparametric regression. They provide a model in which each regression function depends only on a single explanatory variable allowing to obtain estimators at the optimal…

Methodology · Statistics 2015-09-16 Graciela Boente , Alejandra Martinez

In many areas of science, complex phenomena are modeled by stochastic parametric simulators, often featuring high-dimensional parameter spaces and intractable likelihoods. In this context, performing Bayesian inference can be challenging.…

Machine Learning · Computer Science 2021-11-10 François Rozet , Gilles Louppe

Multicollinearity produces an inflation in the variance of the Ordinary Least Squares estimators due to the correlation between two or more independent variables (including the constant term). A widely applied solution is to estimate with…

Methodology · Statistics 2021-04-30 Román Salmerón Gómez , Catalina García García , José García Pérez

We introduce an informative probabilistic association matrix to measure a proportional local-to-global association of categories of one variable with another categorical variable. Towards a probability based proportional prediction, the…

Methodology · Statistics 2013-07-31 Wenxue Huang , Yong Shi , Xiaogang Wang

Network regression models, where the outcome comprises the valued edge in a network and the predictors are actor or dyad-level covariates, are used extensively in the social and biological sciences. Valid inference relies on accurately…

Methodology · Statistics 2021-06-09 Mengjie Pan , Tyler H. McCormick , Bailey K. Fosdick

Genome-wide association studies (GWAS) have identified thousands of genetic variants associated with complex traits, and some variants are shown to be associated with multiple complex traits. Genetic covariance between two traits is defined…

Methodology · Statistics 2023-10-06 Jianqiao Wang , Sai Li , Hongzhe Li

We develop a general estimation and inference procedure for the common parameters in linear panel data regression models with nonparametric two-way specification of unobserved heterogeneity. The procedure takes as input any first-step…

Econometrics · Economics 2026-05-08 Hugo Freeman , Dennis Kristensen

We provide estimation methods for nonseparable panel models based on low-rank factor structure approximations. The factor structures are estimated by matrix-completion methods to deal with the computational challenges of principal component…

Econometrics · Economics 2021-03-05 Iván Fernández-Val , Hugo Freeman , Martin Weidner

We consider the estimation of regression models on strata defined using a categorical covariate, in order to identify interactions between this categorical covariate and the other predictors. A basic approach requires the choice of a…

Statistics Theory · Mathematics 2016-11-09 Edouard Ollier , Vivian Viallon

This paper considers the estimation and inference of the low-rank components in high-dimensional matrix-variate factor models, where each dimension of the matrix-variates ($p \times q$) is comparable to or greater than the number of…

Statistics Theory · Mathematics 2022-10-20 Elynn Y. Chen , Jianqing Fan

This paper studies inference in two-stage randomized experiments under covariate-adaptive randomization. In the initial stage of this experimental design, clusters (e.g., households, schools, or graph partitions) are stratified and randomly…

Econometrics · Economics 2026-01-16 Jizhou Liu

The ability to estimate joint, conditional and marginal probability distributions over some set of variables is of great utility for many common machine learning tasks. However, estimating these distributions can be challenging,…

Machine Learning · Computer Science 2018-09-20 Andrew Skabar

Imbalanced regression arises when the target distribution is skewed, causing models to focus on dense regions and struggle with underrepresented (minority) samples. Despite its relevance across many applications, few methods have been…

Machine Learning · Computer Science 2025-08-05 Shayan Alahyari , Shiva Mehdipour Ghobadlou , Mike Domaratzki

Unmeasured confounding can severely bias causal effect estimates from spatiotemporal observational data, especially when the confounders do not vary smoothly in time and space. In this work, we develop a method for addressing unmeasured…

Methodology · Statistics 2026-04-29 Jiaxi Wu , Alexander Franks

Inference of the marginal probability distribution is defined as the calculation of the probability of a subset of the variables and is relevant for handling missing data and hidden variables. While inference of the marginal probability…

Machine Learning · Statistics 2022-07-22 Fritz M. Bayer , Giusi Moffa , Niko Beerenwinkel , Jack Kuipers

Panel data allows for the modeling of unobserved heterogeneity, significantly raising the number of nuisance parameters and making high dimensionality a practical issue. Meanwhile, temporal and cross-sectional dependence in panel data…

Econometrics · Economics 2025-12-23 Kaicheng Chen

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

This paper presents a novel method to make statistical inferences for both the model support and regression coefficients in a high-dimensional logistic regression model. Our method is based on the repro samples framework, in which we…

Methodology · Statistics 2024-03-18 Xiaotian Hou , Linjun Zhang , Peng Wang , Min-ge Xie