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We propose a novel method for selective classification (SC), a problem which allows a classifier to abstain from predicting some instances, thus trading off accuracy against coverage (the fraction of instances predicted). In contrast to…

Machine Learning · Computer Science 2021-10-26 Aditya Gangrade , Anil Kag , Venkatesh Saligrama

Bayesian neural networks (BNNs) are state-of-the-art machine learning methods that can naturally regularize and systematically quantify uncertainties using their stochastic parameters. Kullback-Leibler (KL) divergence-based variational…

Machine Learning · Computer Science 2024-12-10 Ponkrshnan Thiagarajan , Susanta Ghosh

Many model selection algorithms produce a path of fits specifying a sequence of increasingly complex models. Given such a sequence and the data used to produce them, we consider the problem of choosing the least complex model that is not…

Methodology · Statistics 2015-12-09 William Fithian , Jonathan Taylor , Robert Tibshirani , Ryan Tibshirani

Conducting valid statistical analyses is challenging in the presence of missing-not-at-random (MNAR) data, where the missingness mechanism is dependent on the missing values themselves even conditioned on the observed data. Here, we…

Methodology · Statistics 2023-06-13 Anna Guo , Jiwei Zhao , Razieh Nabi

The model-X conditional randomization test is a generic framework for conditional independence testing, unlocking new possibilities to discover features that are conditionally associated with a response of interest while controlling type-I…

Machine Learning · Computer Science 2023-02-21 Shalev Shaer , Yaniv Romano

This paper is concerned with inference on the regression function of a high-dimensional linear model when outcomes are missing at random. We propose an estimator which combines a Lasso pilot estimate of the regression function with a bias…

Methodology · Statistics 2024-12-11 Yikun Zhang , Alexander Giessing , Yen-Chi Chen

This paper revisits the identification and estimation of a class of semiparametric (distribution-free) panel data binary choice models with lagged dependent variables, exogenous covariates, and entity fixed effects. We provide a novel…

Econometrics · Economics 2024-08-26 Christopher R. Dobronyi , Fu Ouyang , Thomas Tao Yang

Given data sampled from a number of variables, one is often interested in the underlying causal relationships in the form of a directed acyclic graph. In the general case, without interventions on some of the variables it is only possible…

Machine Learning · Statistics 2017-12-05 Christopher Nowzohour , Peter Bühlmann

We propose a two-step pseudo-maximum likelihood procedure for semiparametric single-index regression models where the conditional variance is a known function of the regression and an additional parameter. The Poisson single-index…

Statistics Theory · Mathematics 2017-04-27 Marian Hristache , Weiyu Li , Valentin Patilea

In online classification, a learner is presented with a sequence of examples and aims to predict their labels in an online fashion so as to minimize the total number of mistakes. In the self-directed variant, the learner knows in advance…

Machine Learning · Computer Science 2023-08-08 Ilias Diakonikolas , Vasilis Kontonis , Christos Tzamos , Nikos Zarifis

This paper deals with the scenario approach to robust optimization. This relies on a random sampling of the possibly infinite number of constraints induced by uncertainties in the parameters of an optimization problem. Solving the resulting…

Optimization and Control · Mathematics 2023-03-08 Fabien Lauer

In strategic classification, an institution (e.g., a bank) anticipates adaptation from users who change their features to increase utility in a classification task (e.g., loan repayment). Since a key challenge is the distribution shift…

Machine Learning · Computer Science 2026-05-27 Antonio Gois , Sophia Gunluk , Nir Rosenfeld , Nidhi Hegde , Simon Lacoste-Julien , Dhanya Sridhar

We consider a model of selective prediction, where the prediction algorithm is given a data sequence in an online fashion and asked to predict a pre-specified statistic of the upcoming data points. The algorithm is allowed to choose when to…

Machine Learning · Computer Science 2019-05-30 Mingda Qiao , Gregory Valiant

The Wald development of statistical decision theory addresses decision making with sample data. Wald's concept of a statistical decision function (SDF) embraces all mappings of the form [data -> decision]. An SDF need not perform…

Econometrics · Economics 2019-09-17 Charles F. Manski

Recent work on algorithmic fairness has largely focused on the fairness of discrete decisions, or classifications. While such decisions are often based on risk score models, the fairness of the risk models themselves has received…

Machine Learning · Computer Science 2023-02-24 Eike Petersen , Melanie Ganz , Sune Hannibal Holm , Aasa Feragen

Given data on the choices made by consumers for different offer sets, a key challenge is to develop parsimonious models that describe and predict consumer choice behavior while being amenable to prescriptive tasks such as pricing and…

Machine Learning · Statistics 2025-04-15 Yanqiu Ruan , Xiaobo Li , Karthyek Murthy , Karthik Natarajan

Drawing on set theory, this paper contributes to a deeper understanding of the structural condition of mathematical finance under Knightian uncertainty. We adopt a projective framework in which all components of the model -- prices, priors…

Mathematical Finance · Quantitative Finance 2025-07-01 Alexandre Boistard , Laurence Carassus , Safae Issaoui

Statistical distances (SDs), which quantify the dissimilarity between probability distributions, are central to machine learning and statistics. A modern method for estimating such distances from data relies on parametrizing a variational…

Statistics Theory · Mathematics 2021-03-18 Sreejith Sreekumar , Zhengxin Zhang , Ziv Goldfeld

Claeskens and Hjort (2003) constructed the focused information criterion (FIC) and developed frequentist model averaging methods using maximum likelihood estimators assuming the observations to be independent and identically distributed.…

Statistics Theory · Mathematics 2018-07-24 S. C. Pandhare , T. V. Ramanathan

Given data generated by an observable stochastic process, we study how to construct statistically optimal decisions for general stochastic optimization problems. Our setting encompasses non-standard data structures, including data…

Optimization and Control · Mathematics 2025-08-01 Radek Salač , Michael Kupper , Tobias Sutter
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