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Performing inference on large volumes of samples with large language models (LLMs) can be computationally and financially costly in industry and real-world use. We propose batch prompting, a simple yet effective prompting approach that…

Computation and Language · Computer Science 2023-10-25 Zhoujun Cheng , Jungo Kasai , Tao Yu

Selective inference is a subfield of statistics that enables valid inference after selection of a data-dependent question. In this paper, we introduce selectively dominant p-values, a class of p-values that allow practitioners to easily…

Methodology · Statistics 2024-11-22 Anav Sood

It has been repeatedly stated that maximum likelihood (ML) estimates of exponents of power-law distributions can only be reliably obtained for exponents smaller than minus one. The main argument that power laws are otherwise not…

Data Analysis, Statistics and Probability · Physics 2017-04-12 Rudolf Hanel , Bernat Corominas-Murtra , Bo Liu , Stefan Thurner

For randomized trials that use text as an outcome, traditional approaches for assessing treatment impact require that each document first be manually coded for constructs of interest by trained human raters. This process, the current…

Methodology · Statistics 2024-08-05 Reagan Mozer , Luke Miratrix

We address the asymptotic and approximate distributions of a large class of test statistics with quadratic forms used in association studies. The statistics of interest do not necessarily follow a chi-square distribution and take the…

Applications · Statistics 2009-09-24 Liping Tong , Jie Yang , Richard S. Cooper

For randomized controlled trials to be conclusive, it is important to set the target sample size accurately at the design stage. Comparing two normal populations, the sample size calculation requires specification of the variance other than…

Methodology · Statistics 2026-02-04 Hirotada Maeda , Satoshi Hattori , Tim Friede

From structural biology to epidemiology, predictions from machine learning (ML) models increasingly complement costly gold-standard data, enabling faster, more affordable, and scalable scientific inquiry. In response, prediction-based (PB)…

Machine Learning · Statistics 2026-01-21 Jessica Gronsbell , Jianhui Gao , Zachary R. McCaw , Yaqi Shi , David Cheng

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

Methodology · Statistics 2025-03-14 Matteo D'Alessandro , Magne Thoresen

Active learning (AL) concerns itself with learning a model from as few labelled data as possible through actively and iteratively querying an oracle with selected unlabelled samples. In this paper, we focus on analyzing a popular type of AL…

Machine Learning · Computer Science 2019-12-03 Minjie Xu , Gary Kazantsev

This paper presents a conformal prediction method for classification in highly imbalanced and open-set settings, where there are many possible classes and not all may be represented in the data. Existing approaches require a finite, known…

Machine Learning · Statistics 2025-10-16 Tianmin Xie , Yanfei Zhou , Ziyi Liang , Stefano Favaro , Matteo Sesia

Clinical prediction models must be developed using sufficiently large datasets to minimise overfitting and ensure robust predictive performance. Existing sample size calculations assume complete predictor data for all included participants,…

Many biomedical experiments are carried out by pooling individual biological samples. However, pooling samples can potentially hide biological variance and give false confidence concerning the data significance. In the context of microarray…

Quantitative Methods · Quantitative Biology 2008-06-02 Shu-Dong Zhang , Timothy W. Gant

Active learning (AL) seeks to reduce annotation costs by selecting the most informative samples for labeling, making it particularly valuable in resource-constrained settings. However, traditional evaluation methods, which focus solely on…

Machine Learning · Computer Science 2025-07-22 Julia Machnio , Mads Nielsen , Mostafa Mehdipour Ghazi

Conformal prediction is a framework for predictive inference with a distribution-free, finite-sample guarantee. However, it tends to provide uninformative prediction sets when calibration data are scarce. This paper introduces…

Machine Learning · Computer Science 2025-06-17 Meshi Bashari , Roy Maor Lotan , Yonghoon Lee , Edgar Dobriban , Yaniv Romano

In the era of "big data", it is becoming more of a challenge to not only build state-of-the-art predictive models, but also gain an understanding of what's really going on in the data. For example, it is often of interest to know which, if…

Machine Learning · Statistics 2018-05-15 Brandon M. Greenwell , Bradley C. Boehmke , Andrew J. McCarthy

Modern applications of machine learning (ML) deal with increasingly heterogeneous datasets comprised of data collected from overlapping latent subpopulations. As a result, traditional models trained over large datasets may fail to recognize…

Machine Learning · Statistics 2019-10-16 Benjamin Lengerich , Bryon Aragam , Eric P. Xing

An artificial intelligence (AI) model can be viewed as a function that maps inputs to outputs in high-dimensional spaces. Once designed and well trained, the AI model is applied for inference. However, even optimized AI models can produce…

Artificial Intelligence · Computer Science 2026-02-27 Sha Hu

Applied statistical problems often come with pre-specified groupings to predictors. It is natural to test for the presence of simultaneous group-wide signal for groups in isolation, or for multiple groups together. Classical tests for the…

Applications · Statistics 2015-11-25 Stephen Reid , Jonathan Taylor , Robert Tibshirani

Shapley values have seen widespread use in machine learning as a way to explain model predictions and estimate the importance of covariates. Accurately explaining models is critical in real-world models to both aid in decision making and to…

Machine Learning · Statistics 2024-08-19 Daniel de Marchi , Michael Kosorok , Scott de Marchi

In a case-control study aimed at localizing disease variants, association between a marker and the disease status is often tested by comparing the marker allele frequencies among cases and controls. These marker allele frequencies are…

Methodology · Statistics 2015-09-22 M. A. Jonker , M. W. T. Tanck