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相关论文: Cross-validation improved by aggregation: Agghoo

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Cross-validation (CV) is a common method to tune machine learning methods and can be used for model selection in regression as well. Because of the structured nature of small, traditional experimental designs, the literature has warned…

应用统计 · 统计学 2025-06-18 Maria L. Weese , Byran J. Smucker , David J. Edwards

Evaluating the predictive performance of a statistical model is commonly done using cross-validation. Among the various methods, leave-one-out cross-validation (LOOCV) is frequently used. Originally designed for exchangeable observations,…

统计计算 · 统计学 2025-07-04 Zhedong Liu , Janet Van Niekerk , Haavard Rue

K-fold cross-validation is a widely used tool for assessing classifier performance. The reproducibility crisis faced by artificial intelligence partly results from the irreproducibility of reported k-fold cross-validation-based performance…

机器学习 · 计算机科学 2024-01-26 Attila Fazekas , Gyorgy Kovacs

We define a general V-fold cross-validation type method based on robust tests, which is an extension of the hold-out defined by Birg{\'e} [7, Section 9]. We give some theoretical results showing that, under some weak assumptions on the…

统计理论 · 数学 2015-06-16 Lucien Birgé , Nelo Magalhães , Pascal Massart

Scaling up test-time compute, by generating multiple independent solutions and selecting or aggregating among them, has become a central paradigm for improving large language models (LLMs) on challenging reasoning tasks. While most prior…

计算与语言 · 计算机科学 2025-09-09 Wenting Zhao , Pranjal Aggarwal , Swarnadeep Saha , Asli Celikyilmaz , Jason Weston , Ilia Kulikov

Reinforcement learning with verifiable rewards (RLVR) has become a central paradigm for improving reasoning and code generation in large language models, and GRPO-style training is widely adopted for its simplicity and effectiveness.…

Kriging is a widely employed technique, in particular for computer experiments, in machine learning or in geostatistics. An important challenge for Kriging is the computational burden when the data set is large. This article focuses on a…

统计理论 · 数学 2021-03-01 François Bachoc , Nicolas Durrande , Didier Rullière , Clément Chevalier

Predictions from machine learning algorithms can vary across random seeds, inducing instability in downstream debiased machine learning estimators. We formalize random seed stability via a concentration condition and prove that subbagging…

统计方法学 · 统计学 2026-04-21 Nicholas Williams , Alejandro Schuler

Complex and larger networks are becoming increasingly prevalent in scientific applications in various domains. Although a number of models and methods exist for such networks, cross-validation on networks remains challenging due to the…

统计方法学 · 统计学 2026-03-12 Sayan Chakrabarty , Srijan Sengupta , Yuguo Chen

The present work aims at deriving theoretical guaranties on the behavior of some cross-validation procedures applied to the $k$-nearest neighbors ($k$NN) rule in the context of binary classification. Here we focus on the leave-$p$-out…

统计理论 · 数学 2017-10-13 Alain Celisse , Tristan Mary-Huard

In this article, we derive concentration inequalities for the cross-validation estimate of the generalization error for subagged estimators, both for classification and regressor. General loss functions and class of predictors with both…

机器学习 · 统计学 2010-11-24 Matthieu CORNEC

The lasso and related sparsity inducing algorithms have been the target of substantial theoretical and applied research. Correspondingly, many results are known about their behavior for a fixed or optimally chosen tuning parameter specified…

统计理论 · 数学 2016-06-23 Darren Homrighausen , Daniel J. McDonald

Group Relative Policy Optimisation (GRPO) enhances large language models by estimating advantages across a group of sampled trajectories. However, mapping these trajectory-level advantages to policy updates requires aggregating token-level…

Cross-validation is the workhorse of modern applied statistics and machine learning, as it provides a principled framework for selecting the model that maximizes generalization performance. In this paper, we show that the cross-validation…

机器学习 · 统计学 2018-05-21 Shane Barratt , Rishi Sharma

Choosing an appropriate strategy for partitioning data into training and evaluation sets is a critical step in machine learning, yet validation methods are often selected using default or conventional settings without considering their…

机器学习 · 计算机科学 2026-01-05 Zahra Bami , Ali Behnampour , Aniruddha Bora , Hassan Doosti

The main aim in ensemble learning is using multiple individual classifiers outputs rather than one classifier output to aggregate them for more accurate classification. Generating an ensemble classifier generally is composed of three steps:…

机器学习 · 计算机科学 2021-01-26 Mansoureh Maadia , Uwe Aickelin , Hadi Akbarzadeh Khorshidi

Many decision problems cannot be solved exactly and use several estimation algorithms that assign scores to the different available options. The estimation errors can have various correlations, from low (e.g. between two very different…

机器学习 · 计算机科学 2023-09-06 Theo Delemazure , François Durand , Fabien Mathieu

Conformal inference, cross-validation+, and the jackknife+ are hold-out methods that can be combined with virtually any machine learning algorithm to construct prediction sets with guaranteed marginal coverage. In this paper, we develop…

统计方法学 · 统计学 2021-02-24 Yaniv Romano , Matteo Sesia , Emmanuel J. Candès

In many real-world applications, we are interested in approximating black-box, costly functions as accurately as possible with the smallest number of function evaluations. A complex computer code is an example of such a function. In this…

统计计算 · 统计学 2022-03-22 Hossein Mohammadi , Peter Challenor , Daniel Williamson , Marc Goodfellow

While many statistical models and methods are now available for network analysis, resampling network data remains a challenging problem. Cross-validation is a useful general tool for model selection and parameter tuning, but is not directly…

统计方法学 · 统计学 2020-05-04 Tianxi Li , Elizaveta Levina , Ji Zhu