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Leveraging the wealth of unlabeled data produced in recent years provides great potential for improving supervised models. When the cost of acquiring labels is high, probabilistic active learning methods can be used to greedily select the…

Machine Learning · Statistics 2021-02-09 Robert Pinsler , Jonathan Gordon , Eric Nalisnick , José Miguel Hernández-Lobato

Active learning (AL) combines data labeling and model training to minimize the labeling cost by prioritizing the selection of high value data that can best improve model performance. In pool-based active learning, accessible unlabeled data…

Machine Learning · Computer Science 2020-07-21 Mingfei Gao , Zizhao Zhang , Guo Yu , Sercan O. Arik , Larry S. Davis , Tomas Pfister

Expectile regression is a useful tool for exploring the relation between the response and the explanatory variables beyond the conditional mean. This article develops a continuous threshold expectile regression for modeling data in which…

Methodology · Statistics 2016-11-09 Feipeng Zhang , Qunhua Li

In this paper, we consider the nonasymptotic sequential estimation of means of random variables bounded in between zero and one. We have rigorously demonstrated that, in order to guarantee prescribed relative precision and confidence level,…

Statistics Theory · Mathematics 2013-11-05 Xinjia Chen

Selective classification allows models to abstain from making predictions (e.g., say "I don't know") when in doubt in order to obtain better effective accuracy. While typical selective models can be effective at producing more accurate…

Machine Learning · Computer Science 2024-06-24 Adam Fisch , Tommi Jaakkola , Regina Barzilay

The estimation of a density profile from experimental data points is a challenging problem, usually tackled by plotting a histogram. Prior assumptions on the nature of the density, from its smoothness to the specification of its form, allow…

Methodology · Statistics 2015-03-13 Alberto Bernacchia , Simone Pigolotti

Supervised machine learning relies on the availability of good labelled data for model training. Labelled data is acquired by human annotation, which is a cumbersome and costly process, often requiring subject matter experts. Active…

Machine Learning · Computer Science 2023-10-31 Sharath M Shankaranarayana

Conditional probabilities are a core concept in machine learning. For example, optimal prediction of a label $Y$ given an input $X$ corresponds to maximizing the conditional probability of $Y$ given $X$. A common approach to inference tasks…

Machine Learning · Computer Science 2017-08-09 Yoav Wald , Amir Globerson

This paper describes how to specify probability models for data analysis via a backward induction procedure. The new approach yields coherent, prior-free uncertainty assessment. After presenting some intuition-building examples, the new…

Methodology · Statistics 2015-02-24 P. Richard Hahn

Many applications of machine learning methods involve an iterative protocol in which data are collected, a model is trained, and then outputs of that model are used to choose what data to consider next. For example, one data-driven approach…

Machine Learning · Computer Science 2025-04-07 Clara Fannjiang , Stephen Bates , Anastasios N. Angelopoulos , Jennifer Listgarten , Michael I. Jordan

Various applications involve assigning discrete label values to a collection of objects based on some pairwise noisy data. Due to the discrete---and hence nonconvex---structure of the problem, computing the optimal assignment (e.g.~maximum…

Information Theory · Computer Science 2017-12-11 Yuxin Chen , Emmanuel Candes

We study semisupervised mean estimation with a small labeled sample, a large unlabeled sample, and a black-box prediction model whose output may be miscalibrated. A standard approach in this setting is augmented inverse-probability…

Machine Learning · Statistics 2026-04-24 Lars van der Laan , Mark Van Der Laan

In this work, we aim at augmenting the decisions output by quantum models with "error bars" that provide finite-sample coverage guarantees. Quantum models implement implicit probabilistic predictors that produce multiple random decisions…

Quantum Physics · Physics 2023-10-24 Sangwoo Park , Osvaldo Simeone

While many statistical procedures rely on a fixed sample size, sequential methods allow a decision-maker to adapt the sample size to achieve a given precision. In this way, sequential tests reduce the average number of observations required…

Statistics Theory · Mathematics 2026-03-03 Henri Doerks , Erik Ekström , Yuqiong Wang

Active statistical inference is a new method for inference with AI-assisted data collection. Given a budget on the number of labeled data points that can be collected and assuming access to an AI predictive model, the basic idea is to…

Machine Learning · Statistics 2025-11-13 Puheng Li , Tijana Zrnic , Emmanuel Candès

It is of importance to investigate the significance of a subset of covariates $W$ for the response $Y$ given covariates $Z$ in regression modeling. To this end, we propose a significance test for the partial mean independence problem based…

Methodology · Statistics 2024-06-06 Leheng Cai , Xu Guo , Wei Zhong

An important challenge facing modern machine learning is how to rigorously quantify the uncertainty of model predictions. Conveying uncertainty is especially important when there are changes to the underlying data distribution that might…

Machine Learning · Computer Science 2022-03-17 Sangdon Park , Edgar Dobriban , Insup Lee , Osbert Bastani

Obtaining accurate class labels is often costly or unreliable, and may also be limited by privacy or other practical conditions. Compared with asking an annotator to provide the exact class, it is often easier to ask whether the true label…

Machine Learning · Computer Science 2026-05-11 Jiaxu Su , Junpeng Li , Changchun Hua , Yana Yang

This paper investigates the finite sample performance of a range of parametric, semi-parametric, and non-parametric instrumental variable estimators when controlling for a fixed set of covariates to evaluate the local average treatment…

Econometrics · Economics 2022-12-15 Hugo Bodory , Martin Huber , Michael Lechner

Learning from positive and unlabeled data (PU learning) is actively researched machine learning task. The goal is to train a binary classification model based on a training dataset containing part of positives which are labeled, and…

Machine Learning · Statistics 2023-12-29 Wojciech Rejchel , Paweł Teisseyre , Jan Mielniczuk