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As LLM-based judges become integral to industry applications, obtaining well-calibrated uncertainty estimates efficiently has become critical for production deployment. However, existing techniques, such as verbalized confidence and…

Machine Learning · Computer Science 2025-12-30 Bhaktipriya Radharapu , Eshika Saxena , Kenneth Li , Chenxi Whitehouse , Adina Williams , Nicola Cancedda

We propose a random-effects approach to missing values for generalized linear mixed model (GLMM) analysis. The method converts a GLMM with missing covariates to another GLMM without missing covariates. The standard GLMM analysis tools for…

Methodology · Statistics 2026-01-01 Thuan Nguyen , Jiangshan Zhang , Jiming Jiang

The scalability of Generalized Linear Models (GLMs) for large-scale, high-dimensional data often forces a trade-off between computational feasibility and statistical accuracy, particularly for inference on pre-specified parameters. While…

Methodology · Statistics 2025-12-09 Bo Fu , Dandan Jiang

Ensuring factuality is essential for the safe use of Large Language Models (LLMs) in high-stakes domains such as medicine and law. Conformal inference provides distribution-free guarantees, but existing approaches are either overly…

Machine Learning · Computer Science 2026-02-03 Kangjun Noh , Seongchan Lee , Ilmun Kim , Kyungwoo Song

Various methods have recently been proposed to estimate causal effects with confidence intervals that are uniformly valid over a set of data generating processes when high-dimensional nuisance models are estimated by post-model-selection or…

Methodology · Statistics 2025-10-07 Niloofar Moosavi , Tetiana Gorbach , Xavier de Luna

Recent advancements in Mixed Integer Optimization (MIO) algorithms, paired with hardware enhancements, have led to significant speedups in resolving MIO problems. These strategies have been utilized for optimal subset selection,…

Methodology · Statistics 2024-03-27 Madhav Sankaranarayanan , Intekhab Hossain , Tom Chen

We develop a novel method to construct uniformly valid confidence bands for a nonparametric component $f_1$ in the sparse additive model $Y=f_1(X_1)+\ldots + f_p(X_p) + \varepsilon$ in a high-dimensional setting. Our method integrates sieve…

Methodology · Statistics 2024-04-24 Philipp Bach , Sven Klaassen , Jannis Kueck , Martin Spindler

This article investigates uncertainty quantification of the generalized linear lasso~(GLL), a popular variable selection method in high-dimensional regression settings. In many fields of study, researchers use data-driven methods to select…

Statistics Theory · Mathematics 2023-07-11 Quentin Duchemin , Yohann de Castro

Marginal structural models are a popular tool for investigating the effects of time-varying treatments, but they require an assumption of no unobserved confounders between the treatment and outcome. With observational data, this assumption…

Methodology · Statistics 2021-06-10 Matthew Blackwell , Soichiro Yamauchi

Over the past decades, linear mixed models have attracted considerable attention in various fields of applied statistics. They are popular whenever clustered, hierarchical or longitudinal data are investigated. Nonetheless, statistical…

Methodology · Statistics 2021-09-20 Katarzyna Reluga , María José Lombardía , Stefan Andreas Sperlich

Modern generative and vision-language models (VLMs) are increasingly used in scientific and medical decision support, where predicted probabilities must be both accurate and well calibrated. Despite strong empirical results with moderate…

Machine Learning · Computer Science 2025-12-30 Paul M. Thompson

After selection with the Group LASSO (or generalized variants such as the overlapping, sparse, or standardized Group LASSO), inference for the selected parameters is unreliable in the absence of adjustments for selection bias. In the…

Methodology · Statistics 2022-08-16 Snigdha Panigrahi , Peter W. MacDonald , Daniel Kessler

Penalized regression methods, most notably the lasso, are a popular approach to analyzing high-dimensional data. An attractive property of the lasso is that it naturally performs variable selection. An important area of concern, however, is…

Methodology · Statistics 2026-05-13 Ryan Miller , Patrick Breheny

We present a universal framework for constructing confidence sets based on sequential likelihood mixing. Building upon classical results from sequential analysis, we provide a unifying perspective on several recent lines of work, and…

Machine Learning · Statistics 2025-02-21 Johannes Kirschner , Andreas Krause , Michele Meziu , Mojmir Mutny

Debiased machine learning (DML) offers an attractive way to estimate treatment effects in observational settings, where identification of causal parameters requires a conditional independence or unconfoundedness assumption, since it allows…

Econometrics · Economics 2022-06-16 Victor Quintas-Martinez

The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the relationship between the response and explanatory variables may…

Methodology · Statistics 2016-07-04 Abhik Ghosh , Ayanendranath Basu

We develop tools for selective inference in the setting of group sparsity, including the construction of confidence intervals and p-values for testing selected groups of variables. Our main technical result gives the precise distribution of…

Methodology · Statistics 2016-07-28 Fan Yang , Rina Foygel Barber , Prateek Jain , John Lafferty

Maximum Likelihood (ML) offers attractive alternatives to Generalized Method of Moments (GMM) estimators for dynamic panel data models. However, to date no identification-robust inference methods exist that can be used in conjunction with…

Econometrics · Economics 2025-12-16 Hugo Kruiniger

We introduce a flexible framework for making inferences about general linear forms of a large matrix based on noisy observations of a subset of its entries. In particular, under mild regularity conditions, we develop a universal procedure…

Statistics Theory · Mathematics 2020-06-12 Dong Xia , Ming Yuan

We consider the problem of learning predictive models from longitudinal data, consisting of irregularly repeated, sparse observations from a set of individuals over time. Such data often exhibit {\em longitudinal correlation} (LC)…

Machine Learning · Statistics 2019-11-25 Junjie Liang , Dongkuan Xu , Yiwei Sun , Vasant Honavar
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