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Precision medicine is accelerating rapidly in the field of health research. This includes fitting predictive models for individual patients based on patient similarity in an attempt to improve model performance. We propose an algorithm…

统计方法学 · 统计学 2025-02-07 Tatiana Krikella , Joel A. Dubin

Accurate power and sample size (PSS) calculations are essential for designing studies that use quasi-likelihood (QL) models, which extend generalized linear models (GLMs) to settings where the full distribution of the outcome is not…

统计方法学 · 统计学 2026-03-03 Shijie Yuan , Amy Cochran , Paul Rathouz

Accurate computation of robust estimates for extremal quantiles of empirical distributions is an essential task for a wide range of applicative fields, including economic policymaking and the financial industry. Such estimates are…

统计方法学 · 统计学 2024-11-04 Pietro Bogani , Matteo Fontana , Luca Neri , Simone Vantini

Conformal prediction provides distribution-free prediction sets with guaranteed marginal coverage. However, in split conformal prediction this guarantee is training-conditional only in expectation: across many calibration draws, the average…

机器学习 · 计算机科学 2025-09-22 Petrus H. Zwart

Random sampling in compressive sensing (CS) enables the compression of large amounts of input signals in an efficient manner, which is useful for many applications. CS reconstructs the compressed signals exactly with overwhelming…

信息论 · 计算机科学 2016-03-22 Dongeun Lee , Rafael Lima , Jaesik Choi

Reliable probabilities are critical in high-risk applications, yet common calibration criteria (confidence, class-wise) are only necessary for full distributional calibration, and post-hoc methods often lack distribution-free guarantees. We…

机器学习 · 统计学 2025-10-17 Daniil Kazantsev , Mohsen Guizani , Eric Moulines , Maxim Panov , Nikita Kotelevskii

Chance constrained programming (CCP) refers to a type of optimization problem with uncertain constraints that are satisfied with at least a prescribed probability level. In this work, we study the sample average approximation (SAA) of…

最优化与控制 · 数学 2025-04-30 Peng Wang , Rujun Jiang , Qingyuan Kong , Laura Balzano

In many classification applications, the prediction of a deep neural network (DNN) based classifier needs to be accompanied by some confidence indication. Two popular approaches for that aim are: 1) Calibration: modifies the classifier's…

机器学习 · 计算机科学 2025-06-03 Lahav Dabah , Tom Tirer

Calibration$\unicode{x2014}$the problem of ensuring that predicted probabilities align with observed class frequencies$\unicode{x2014}$is a basic desideratum for reliable prediction with machine learning systems. Calibration error is…

机器学习 · 统计学 2026-03-02 Eugène Berta , Sacha Braun , David Holzmüller , Francis Bach , Michael I. Jordan

Ordinal classification models assign higher penalties to predictions further away from the true class. As a result, they are appropriate for relevant diagnostic tasks like disease progression prediction or medical image grading. The…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Adrian Galdran

Clinical trial adaptation refers to any adjustment of the trial protocol after the onset of the trial. The main goal is to make the process of introducing new medical interventions to patients more efficient by reducing the cost and the…

机器学习 · 计算机科学 2014-11-17 Ognjen Arandjelovic

The recent explosion in the capabilities of large language models has led to a wave of interest in how best to prompt a model to perform a given task. While it may be tempting to simply choose a prompt based on average performance on a…

机器学习 · 计算机科学 2024-03-29 Thomas P. Zollo , Todd Morrill , Zhun Deng , Jake C. Snell , Toniann Pitassi , Richard Zemel

In this paper, we tackle the resolution of chance-constrained problems reformulated via Sample Average Approximation. The resulting data-driven deterministic reformulation takes the form of a large-scale mixed-integer program cursed with…

最优化与控制 · 数学 2023-06-27 Álvaro Porras , Concepción Domínguez , Juan M. Morales , Salvador Pineda

Sign-Perturbed Sum (SPS) is a powerful finite-sample system identification algorithm which can construct confidence regions for the true data generating system with exact coverage probabilities, for any finite sample size. SPS was developed…

机器学习 · 统计学 2024-01-30 Szabolcs Szentpéteri , Balázs Csanád Csáji

Composite binary endpoints are increasingly used as primary endpoints in clinical trials. When designing a trial, it is crucial to determine the appropriate sample size for testing the statistical differences between treatment groups for…

应用统计 · 统计学 2019-01-15 Marta Bofill Roig , Guadalupe Gómez Melis

The deployment of machine learning classifiers in high-stakes domains requires well-calibrated confidence scores for model predictions. In this paper we introduce the notion of variable-based calibration to characterize calibration…

机器学习 · 计算机科学 2023-04-07 Markelle Kelly , Padhraic Smyth

This short study presents an opportunistic approach to a (more) reliable validation method for prediction uncertainty average calibration. Considering that variance-based calibration metrics (ZMS, NLL, RCE...) are quite sensitive to the…

机器学习 · 统计学 2024-08-27 Pascal Pernot

Composite endpoints are widely used in cardiovascular clinical trials to improve statistical efficiency while preserving clinical relevance. The Win Ratio (WR) measure and more general frameworks of Win Statistics have emerged as…

统计方法学 · 统计学 2025-11-24 Yunhan Mou , Fan Li , Denise Esserman , Yuan Huang

Uncertainty quantification is becoming increasingly important in image segmentation, especially for high-stakes applications like medical imaging. While conformal risk control generalizes conformal prediction beyond standard miscoverage to…

机器学习 · 计算机科学 2025-04-11 Rui Luo , Zhixin Zhou

Sample size derivation is a crucial element of the planning phase of any confirmatory trial. A sample size is typically derived based on constraints on the maximal acceptable type I error rate and a minimal desired power. Here, power…