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Calibration is a frequently invoked concept when useful label probability estimates are required on top of classification accuracy. A calibrated model is a function whose values correctly reflect underlying label probabilities. Calibration…

机器学习 · 计算机科学 2024-12-03 Alireza Torabian , Ruth Urner

A machine learning model is calibrated if its predicted probability for an outcome matches the observed frequency for that outcome conditional on the model prediction. This property has become increasingly important as the impact of machine…

机器学习 · 计算机科学 2025-02-25 Muthu Chidambaram , Rong Ge

In safety-critical applications a probabilistic model is usually required to be calibrated, i.e., to capture the uncertainty of its predictions accurately. In multi-class classification, calibration of the most confident predictions only is…

机器学习 · 统计学 2022-09-30 David Widmann , Fredrik Lindsten , Dave Zachariah

The standard constraint-based paradigm for causal discovery with incomplete data -- impute first, test second -- is frequently miscalibrated: any consistent conditional independence (CI) test rejects a true null with probability approaching…

统计方法学 · 统计学 2026-05-07 Thomas S. Robinson , Ranjit Lall

It is often observed that the probabilistic predictions given by a machine learning model can disagree with averaged actual outcomes on specific subsets of data, which is also known as the issue of miscalibration. It is responsible for the…

机器学习 · 计算机科学 2020-01-28 Feiyang Pan , Xiang Ao , Pingzhong Tang , Min Lu , Dapeng Liu , Lei Xiao , Qing He

Conformal prediction (CP) is a general framework to quantify the predictive uncertainty of machine learning models that uses a set prediction to include the true label with a valid probability. To align the uncertainty measured by CP,…

机器学习 · 计算机科学 2025-11-25 Xuesong Jia , Yuanjie Shi , Ziquan Liu , Yi Xu , Yan Yan

Testing independence among a number of (ultra) high-dimensional random samples is a fundamental and challenging problem. By arranging $n$ identically distributed $p$-dimensional random vectors into a $p \times n$ data matrix, we investigate…

统计理论 · 数学 2017-03-28 Xi Chen , Weidong Liu

This article examines the limitations of Pearson's correlation in selecting predictor variables for linear models. Using mtcars and iris datasets from R, this paper demonstrates the limitation of this correlation measure when selecting a…

统计方法学 · 统计学 2024-09-10 Mustafa Attallah

Research has shown that deep networks tend to be overly optimistic about their predictions, leading to an underestimation of prediction errors. Due to the limited nature of data, existing studies have proposed various methods based on model…

机器学习 · 计算机科学 2023-10-24 Jia-Qi Yang , De-Chuan Zhan , Le Gan

Probability predictions from binary regressions or machine learning methods ought to be calibrated: If an event is predicted to occur with probability $x$, it should materialize with approximately that frequency, which means that the…

统计理论 · 数学 2023-01-11 Timo Dimitriadis , Lutz Duembgen , Alexander Henzi , Marius Puke , Johanna Ziegel

In many machine learning problems, understanding variable importance is a central concern. Two common approaches are Permute-and-Predict (PaP), which randomly permutes a feature in a validation set, and Leave-One-Covariate-Out (LOCO), which…

统计理论 · 数学 2025-10-02 Kelvyn K. Bladen , D. Richard Cutler , Alan Wisler

Model diagnostics and forecast evaluation are two sides of the same coin. A common principle is that fitted or predicted distributions ought to be calibrated or reliable, ideally in the sense of auto-calibration, where the outcome is a…

统计方法学 · 统计学 2024-09-27 Tilmann Gneiting , Johannes Resin

Distance correlation is a measure of dependence between two paired random vectors or matrices of arbitrary, not necessarily equal, dimensions. Unlike Pearson correlation, the population distance correlation coefficient is zero if and only…

统计方法学 · 统计学 2025-06-19 Kontemeniotis Nikolaos , Vargiakakis Rafail , Tsagris Michail

Response calibration is the process of inferring how much the measured data depend on the signal one is interested in. It is essential for any quantitative signal estimation on the basis of the data. Here, we investigate self-calibration…

天体物理仪器与方法 · 物理学 2015-06-18 Torsten A. Enßlin , Henrik Junklewitz , Lars Winderling , Maksim Greiner , Marco Selig

Deep neural networks often produce miscalibrated probability estimates, leading to overconfident predictions. A common approach for calibration is fitting a post-hoc calibration map on unseen validation data that transforms predicted…

机器学习 · 计算机科学 2025-07-10 Yunrui Zhang , Gustavo Batista , Salil S. Kanhere

In this research we propose a new method for training predictive machine learning models for prescriptive applications. This approach, which we refer to as coupled validation, is based on tweaking the validation step in the standard…

机器学习 · 计算机科学 2021-10-25 Ebrahim Mortaz , Alexander Vinel

Conditional independence (CI) testing arises naturally in many scientific problems and applications domains. The goal of this problem is to investigate the conditional independence between a response variable $Y$ and another variable $X$,…

统计方法学 · 统计学 2025-10-07 Adel Javanmard , Mohammad Mehrabi

Multivariate correlation analysis plays an important role in various fields such as statistics, economics, and big data analytics. In this paper, we propose a pair of measures, the unsigned correlation coefficient (UCC) and the unsigned…

统计理论 · 数学 2020-01-28 Jianji Wang , Nanning Zheng

For predictive evaluation based on quasi-posterior distributions, we develop a new information criterion, the posterior covariance information criterion (PCIC. PCIC generalises the widely applicable information criterion WAIC so as to…

统计方法学 · 统计学 2023-01-26 Yukito Iba , Keisuke Yano

Adaptive experiments use preliminary analyses of the data to inform further course of action and are commonly used in many disciplines including medical and social sciences. Because the null hypothesis and experimental design are…

统计方法学 · 统计学 2026-05-26 Tobias Freidling , Qingyuan Zhao , Zijun Gao