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In spatial regression models, collinearity between covariates and spatial effects can lead to significant bias in effect estimates. This problem, known as spatial confounding, is encountered modelling forestry data to assess the effect of…

Methodology · Statistics 2023-10-02 Emiko Dupont , Simon N. Wood , Nicole Augustin

One of the central issues of several machine learning applications on real data is the choice of the input features. Ideally, the designer should select only the relevant, non-redundant features to preserve the complete information…

Machine Learning · Computer Science 2023-03-28 Paolo Bonetti , Alberto Maria Metelli , Marcello Restelli

The linear-in-means model is widely used to study peer influence in social networks. We consider estimation in the linear-in-means model when a randomized treatment is applied to nodes in a network. We show that even when peer effects are…

Methodology · Statistics 2025-11-06 Alex Hayes , Keith Levin

We develop a collection of methods for adjusting the predictions of quantile regression to ensure coverage. Our methods are model agnostic and can be used to correct for high-dimensional overfitting bias with only minimal assumptions.…

Methodology · Statistics 2025-11-10 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

Estimation of causal effects using machine learning methods has become an active research field in econometrics. In this paper, we study the finite sample performance of meta-learners for estimation of heterogeneous treatment effects under…

Econometrics · Economics 2022-02-01 Gabriel Okasa

Consider the problem of estimating average treatment effects when a large number of covariates are used to adjust for possible confounding through outcome regression and propensity score models. The conventional approach of model building…

Statistics Theory · Mathematics 2018-01-31 Zhiqiang Tan

In this paper, we present a novel and effective inference approach to conduct both finite- and large-sample inference for high-dimensional linear regression models. This approach is developed under the so-called repro samples framework, in…

Methodology · Statistics 2025-12-01 Peng Wang , Min-Ge Xie , Linjun Zhang

Weak-to-strong alignment offers a promising route to scalable supervision, but it can fail when a strong model becomes confidently wrong on examples that lie in the weak teacher's blind spots. Understanding such failures requires going…

Artificial Intelligence · Computer Science 2026-04-29 Hamid Osooli , Kareema Batool , Rick Gentry , Tiasa Singha Roy , Ashwin Gupta , Anirudha Ramesh

As increasingly popular metrics of worker and institutional quality, estimated value-added (VA) measures are now widely used as dependent or explanatory variables in regressions. For example, VA is used as an explanatory variable when…

Econometrics · Economics 2021-10-12 Antoine Deeb

We consider the problem of constructing confidence intervals (CIs) for a linear functional of a regression function, such as its value at a point, the regression discontinuity parameter, or a regression coefficient in a linear or partly…

Statistics Theory · Mathematics 2018-04-03 Timothy B. Armstrong , Michal Kolesár

AIMS. The maximum-likelihood method is the standard approach to obtain model fits to observational data and the corresponding confidence regions. We investigate possible sources of bias in the log-likelihood function and its subsequent…

Astrophysics · Physics 2009-11-11 J. Hartlap , P. Simon , P. Schneider

Recent advances in image-based saliency prediction are approaching gold standard performance levels on existing benchmarks. Despite this success, we show that predicting fixations across multiple saliency datasets remains challenging due to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Matthias Kümmerer , Harneet Singh Khanuja , Matthias Bethge

Variational Inference (VI) is a popular alternative to asymptotically exact sampling in Bayesian inference. Its main workhorse is optimization over a reverse Kullback-Leibler divergence (RKL), which typically underestimates the tail of the…

Machine Learning · Statistics 2021-07-01 Ghassen Jerfel , Serena Wang , Clara Fannjiang , Katherine A. Heller , Yian Ma , Michael I. Jordan

The problem known as multicolinearity has long been recognized to fundamentally and negatively influence multiple regression. This paper does not intend to either propose a numerical assessment of the degree to which this problem exists…

Methodology · Statistics 2023-02-14 Grayson L. Baird , Stephen L. Bieber

Despite the success of the popular kernelized support vector machines, they have two major limitations: they are restricted to Positive Semi-Definite (PSD) kernels, and their training complexity scales at least quadratically with the size…

Machine Learning · Computer Science 2014-05-28 Omid Aghazadeh , Stefan Carlsson

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

Methodology · Statistics 2023-10-27 Kimia Vahdat , Sara Shashaani

This paper investigates the role of the augmentation parameter in the Finite Selection Model (FSM) and its impact on estimator performance. Through a comprehensive Monte Carlo simulation study, we analyze the sensitivity of bias, variance,…

Methodology · Statistics 2026-03-09 Safaa K. Kadhem

We develop a method to generate prediction intervals that have a user-specified coverage level across all regions of feature-space, a property called conditional coverage. A typical approach to this task is to estimate the conditional…

Machine Learning · Computer Science 2021-10-05 Shai Feldman , Stephen Bates , Yaniv Romano

The technique of data augmentation (DA) is often used in machine learning for regularization purposes to better generalize under i.i.d. settings. In this work, we present a unifying framework with topics in causal inference to make a case…

Machine Learning · Computer Science 2026-02-02 Uzair Akbar , Niki Kilbertus , Hao Shen , Krikamol Muandet , Bo Dai