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There is a useful counterpart of conformal prediction for e-values, called conformal e-prediction. Conformal prediction can serve as basis for testing the assumption of exchangeability, leading to conformal testing. Similarly, conformal…

统计理论 · 数学 2024-11-05 Vladimir Vovk , Ilia Nouretdinov , Alex Gammerman

Model calibration aims to align confidence with prediction correctness. The Cross-Entropy (CE) loss is widely used for calibrator training, which enforces the model to increase confidence on the ground truth class. However, we find the CE…

计算机视觉与模式识别 · 计算机科学 2025-02-13 Yuchi Liu , Lei Wang , Yuli Zou , James Zou , Liang Zheng

Quantum Hoare logic (QHL) is a formal verification tool specifically designed to ensure the correctness of quantum programs. There has been an ongoing challenge to achieve a relatively complete satisfaction-based QHL with while-loop since…

计算机科学中的逻辑 · 计算机科学 2024-05-06 Xin Sun , Xingchi Su , Xiaoning Bian , Huiwen Wu

Post-hoc multi-class calibration is a common approach for providing high-quality confidence estimates of deep neural network predictions. Recent work has shown that widely used scaling methods underestimate their calibration error, while…

机器学习 · 计算机科学 2022-11-28 Kanil Patel , William Beluch , Bin Yang , Michael Pfeiffer , Dan Zhang

We present a statistical test that can be used to verify supervisory requirements concerning overlapping time windows for the long-term calibration in rating systems. In a first step, we show that the long-run default rate is approximately…

风险管理 · 定量金融 2023-12-25 Patrick Kurth , Max Nendel , Jan Streicher

Universal hypothesis testing refers to the problem of deciding whether samples come from a nominal distribution or an unknown distribution that is different from the nominal distribution. Hoeffding's test, whose test statistic is equivalent…

信息论 · 计算机科学 2017-11-15 Pengfei Yang , Biao Chen

We study the interpretability of conditional probability estimates for binary classification under the agnostic setting or scenario. Under the agnostic setting, conditional probability estimates do not necessarily reflect the true…

机器学习 · 计算机科学 2017-03-01 Yihan Gao , Aditya Parameswaran , Jian Peng

Many studies have observed that modern neural networks achieve high accuracy while producing poorly calibrated probabilities, making calibration a critical practical issue. In this work, we propose probability bounding (PB), a novel…

机器学习 · 统计学 2026-02-24 Kyohei Atarashi , Satoshi Oyama , Hiromi Arai , Hisashi Kashima

We introduce $\textit{Backward Conformal Prediction}$, a method that guarantees conformal coverage while providing flexible control over the size of prediction sets. Unlike standard conformal prediction, which fixes the coverage level and…

机器学习 · 统计学 2026-02-13 Etienne Gauthier , Francis Bach , Michael I. Jordan

This paper introduces e-fold cross-validation, an energy-efficient alternative to k-fold cross-validation. It dynamically adjusts the number of folds based on a stopping criterion. The criterion checks after each fold whether the standard…

机器学习 · 计算机科学 2024-10-29 Christopher Mahlich , Tobias Vente , Joeran Beel

Pairwise comparisons are a well-known method for modelling of the subjective preferences of a decision maker. A popular implementation of the method is based on solving an eigenvalue problem for M - the matrix of pairwise comparisons. This…

离散数学 · 计算机科学 2015-09-25 Konrad Kułakowski

A new test is proposed for the weak white noise null hypothesis. The test is based on a new automatic choice of the order for a Box-Pierce or Hong test statistic. The test uses Lobato (2001) or Kuan and Lee (2006) HAC critical values. The…

统计理论 · 数学 2019-08-16 Alain Guay , Emmanuel Guerre , Stepana Lazarova

In this paper we have updated the hypothesis testing framework by drawing upon modern computational power and classification models from machine learning. We show that a simple classification algorithm such as a boosted decision stump can…

计量经济学 · 经济学 2021-03-03 Gary Cornwall , Jeff Chen , Beau Sauley

We consider the problem of multiple hypothesis testing with generic side information: for each hypothesis $H_i$ we observe both a p-value $p_i$ and some predictor $x_i$ encoding contextual information about the hypothesis. For large-scale…

统计方法学 · 统计学 2018-07-26 Lihua Lei , William Fithian

Distribution-free predictive inference beyond the construction of prediction sets has gained a lot of interest in recent applications. One such application is the selection task, where the objective is to design a reliable selection rule to…

统计方法学 · 统计学 2025-01-07 Yonghoon Lee , Zhimei Ren

As probabilistic models continue to permeate various facets of our society and contribute to scientific advancements, it becomes a necessity to go beyond traditional metrics such as predictive accuracy and error rates and assess their…

机器学习 · 统计学 2025-05-05 Ritwik Vashistha , Arya Farahi

In Bayesian statistics, the marginal likelihood, also known as the evidence, is used to evaluate model fit as it quantifies the joint probability of the data under the prior. In contrast, non-Bayesian models are typically compared using…

统计方法学 · 统计学 2019-09-24 Edwin Fong , Chris Holmes

It is often of interest to test a global null hypothesis using multiple, possibly dependent $p$-values by combining their strengths while controlling the type-I error. Recently, several heavy-tailed combination tests, such as the harmonic…

统计理论 · 数学 2026-03-25 Parijat Chakraborty , F. Richard Guo , Kerby Shedden , Stilian Stoev

For users to trust model predictions, they need to understand model outputs, particularly their confidence - calibration aims to adjust (calibrate) models' confidence to match expected accuracy. We argue that the traditional calibration…

计算与语言 · 计算机科学 2022-10-25 Chenglei Si , Chen Zhao , Sewon Min , Jordan Boyd-Graber

Any decision making process that relies on a probabilistic forecast of future events necessarily requires a calibrated forecast. This paper proposes new methods for empirically assessing forecast calibration in a multivariate setting where…

统计方法学 · 统计学 2014-07-02 Thordis L. Thorarinsdottir , Michael Scheuerer , Christopher Heinz