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Supervised machine learning models often associate irrelevant nuisance factors with the prediction target, which hurts generalization. We propose a framework for training robust neural networks that induces invariance to nuisances through…

Machine Learning · Computer Science 2019-12-03 Ayush Jaiswal , Rob Brekelmans , Daniel Moyer , Greg Ver Steeg , Wael AbdAlmageed , Premkumar Natarajan

Meta-analysis based on only a few studies remains a challenging problem, as an accurate estimate of the between-study variance is apparently needed, but hard to attain, within this setting. Here we offer a new approach, based on the…

Methodology · Statistics 2024-04-30 Joyce Cahoon , Ryan Martin

Sensory observations about the world are invariably ambiguous. Inference about the world's latent variables is thus an important computation for the brain. However, computational constraints limit the performance of these computations.…

Neurons and Cognition · Quantitative Biology 2022-10-13 Lokesh Boominathan , Xaq Pitkow

An informative sampling design leads to the selection of units whose inclusion probabilities are correlated with the response variable of interest. Model inference performed on the resulting observed sample will be biased for the population…

Methodology · Statistics 2018-06-29 Matthew R. Williams , Terrance D. Savitsky

For high-dimensional inference problems, statisticians have a number of competing interests. On the one hand, procedures should provide accurate estimation, reliable structure learning, and valid uncertainty quantification. On the other…

Statistics Theory · Mathematics 2021-01-11 Ryan Martin

Inferential challenges that arise when data are censored have been extensively studied under the classical frameworks. In this paper, we provide an alternative generalized inferential model approach whose output is a data-dependent…

Methodology · Statistics 2021-11-16 Joyce Cahoon , Ryan Martin

This paper revisits the simple, but empirically salient, problem of inference on a real-valued parameter that is partially identified through upper and lower bounds with asymptotically normal estimators. A simple confidence interval is…

Econometrics · Economics 2021-01-01 Jörg Stoye

Instrumental variable methods are among the most commonly used causal inference approaches to deal with unmeasured confounders in observational studies. The presence of invalid instruments is the primary concern for practical applications,…

Methodology · Statistics 2023-04-18 Zijian Guo

The Tweedie exponential dispersion family is a popular choice among many to model insurance losses that consist of zero-inflated semicontinuous data. In such data, it is often important to obtain credibility (inference) of the most…

Methodology · Statistics 2025-07-17 Alokesh Manna , Zijian Huang , Dipak K. Dey , Yuwen Gu , Robin He

For data segmentation in high-dimensional linear regression settings, the regression parameters are often assumed to be sparse segment-wise, which enables many existing methods to estimate the parameters locally via $\ell_1$-regularised…

Methodology · Statistics 2026-05-08 Haeran Cho , Tobias Kley , Housen Li

It is common practice in statistical data analysis to perform data-driven variable selection and derive statistical inference from the resulting model. Such inference enjoys none of the guarantees that classical statistical theory provides…

Statistics Theory · Mathematics 2013-06-06 Richard Berk , Lawrence Brown , Andreas Buja , Kai Zhang , Linda Zhao

Conformal prediction has emerged as a widely used framework for constructing valid prediction sets in classification and regression tasks. In this work, we extend the split conformal prediction framework to hierarchical classification,…

Machine Learning · Statistics 2026-04-13 Thomas Mortier , Alireza Javanmardi , Yusuf Sale , Eyke Hüllermeier , Willem Waegeman

A rich set of frequentist model averaging methods has been developed, but their applications have largely been limited to point prediction, as measuring prediction uncertainty in general settings remains an open problem. In this paper we…

Econometrics · Economics 2025-10-21 Zhongjun Qu , Wendun Wang , Xiaomeng Zhang

Nonparametric Bayesian models are used routinely as flexible and powerful models of complex data. Many times, a statistician may have additional informative beliefs about data distribution of interest, e.g., its mean or subset components,…

Methodology · Statistics 2022-11-08 Bingjing Tang , Vinayak Rao

We develop an iterative framework for Bayesian inference problems where the posterior distribution may involve computationally intensive models, intractable gradients, significant posterior concentration, and pronounced non-Gaussianity. Our…

Computation · Statistics 2026-03-16 Daniel Sharp , Bart van Bloemen Waanders , Youssef Marzouk

We develop a new modeling framework for Inter-Subject Analysis (ISA). The goal of ISA is to explore the dependency structure between different subjects with the intra-subject dependency as nuisance. It has important applications in…

Methodology · Statistics 2017-09-22 Cong Ma , Junwei Lu , Han Liu

The US Census Bureau will deliberately corrupt data sets derived from the 2020 US Census, enhancing the privacy of respondents while potentially reducing the precision of economic analysis. To investigate whether this trade-off is…

Econometrics · Economics 2024-02-13 Anish Agarwal , Rahul Singh

We show that the way inference is performed in few-shot segmentation tasks has a substantial effect on performances -- an aspect often overlooked in the literature in favor of the meta-learning paradigm. We introduce a transductive…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Malik Boudiaf , Hoel Kervadec , Ziko Imtiaz Masud , Pablo Piantanida , Ismail Ben Ayed , Jose Dolz

We explore a novel methodology for constructing confidence regions for parameters of linear models, using predictions from any arbitrary predictor. Our framework requires minimal assumptions on the noise and can be extended to functions…

Machine Learning · Statistics 2024-01-30 Charles Guille-Escuret , Eugene Ndiaye

We develop a general framework for distribution-free predictive inference in regression, using conformal inference. The proposed methodology allows for the construction of a prediction band for the response variable using any estimator of…

Methodology · Statistics 2017-03-09 Jing Lei , Max G'Sell , Alessandro Rinaldo , Ryan J. Tibshirani , Larry Wasserman