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There is increasing interest in the use of diagnostic rules based on microarray data. These rules are formed by considering the expression levels of thousands of genes in tissue samples taken on patients of known classification with respect…

统计理论 · 数学 2008-12-18 G. J. McLachlan , J. Chevelu , J. Zhu

As machine learning gets adopted into the industry quickly, trustworthiness is increasingly in focus. Yet, efficiency and sustainability of robust training pipelines still have to be established. In this work, we consider a simple pipeline…

机器学习 · 计算机科学 2025-07-15 Benedict Gerlach , Marie Anastacio , Holger H. Hoos

Tuning parameters in supervised learning problems are often estimated by cross-validation. The minimum value of the cross-validation error can be biased downward as an estimate of the test error at that same value of the tuning parameter.…

应用统计 · 统计学 2009-08-21 Ryan J. Tibshirani , Robert Tibshirani

Cross-validation (CV) is a popular approach for assessing and selecting predictive models. However, when the number of folds is large, CV suffers from a need to repeatedly refit a learning procedure on a large number of training datasets.…

机器学习 · 统计学 2020-06-12 Ashia Wilson , Maximilian Kasy , Lester Mackey

The decision tree is one of the most popular and classical machine learning models from the 1980s. However, in many practical applications, decision trees tend to generate decision paths with excessive depth. Long decision paths often cause…

机器学习 · 计算机科学 2022-11-30 Jialu Zhang , Yitan Wang , Mark Santolucito , Ruzica Piskac

Decoding, ie prediction from brain images or signals, calls for empirical evaluation of its predictive power. Such evaluation is achieved via cross-validation, a method also used to tune decoders' hyper-parameters. This paper is a review on…

Decision trees are an extremely popular machine learning technique. Unfortunately, overfitting in decision trees still remains an open issue that sometimes prevents achieving good performance. In this work, we present a novel approach for…

机器学习 · 计算机科学 2019-06-05 Rafael Garcia Leiva , Antonio Fernandez Anta , Vincenzo Mancuso , Paolo Casari

The correct use of model evaluation, model selection, and algorithm selection techniques is vital in academic machine learning research as well as in many industrial settings. This article reviews different techniques that can be used for…

机器学习 · 计算机科学 2020-11-12 Sebastian Raschka

Cross-validation (CV) is a technique used to estimate generalization error for prediction models. For pipeline modeling algorithms (i.e. modeling procedures with multiple steps), it has been recommended the entire sequence of steps be…

机器学习 · 统计学 2020-10-05 Byron C. Jaeger , Nicholas J. Tierney , Noah R. Simon

We study estimator selection and hyper-parameter tuning in off-policy evaluation. Although cross-validation is the most popular method for model selection in supervised learning, off-policy evaluation relies mostly on theory, which provides…

机器学习 · 计算机科学 2024-12-23 Matej Cief , Branislav Kveton , Michal Kompan

We consider comparisons of statistical learning algorithms using multiple data sets, via leave-one-in cross-study validation: each of the algorithms is trained on one data set; the resulting model is then validated on each remaining data…

应用统计 · 统计学 2015-06-02 Lorenzo Trippa , Levi Waldron , Curtis Huttenhower , Giovanni Parmigiani

Various modifications of decision trees have been extensively used during the past years due to their high efficiency and interpretability. Tree node splitting based on relevant feature selection is a key step of decision tree learning, at…

机器学习 · 计算机科学 2017-09-05 Dmitry Ignatov , Andrey Ignatov

Many varieties of cross validation would be statistically appealing for the estimation of smoothing and other penalized regression hyperparameters, were it not for the high cost of evaluating such criteria. Here it is shown how to…

统计方法学 · 统计学 2025-11-06 Simon N. Wood

Ensembles of classification and regression trees remain popular machine learning methods because they define flexible non-parametric models that predict well and are computationally efficient both during training and testing. During…

机器学习 · 计算机科学 2012-06-22 Sebastian Nowozin

Safety validation is important during the development of safety-critical autonomous systems but can require significant computational effort. Existing algorithms often start from scratch each time the system under test changes. We apply…

机器学习 · 计算机科学 2020-12-11 Anthony Corso , Mykel J. Kochenderfer

Decision trees are powerful machine learning algorithms, widely used in fields such as economics and medicine for their simplicity and interpretability. However, decision trees such as CART are prone to overfitting, especially when grown…

机器学习 · 统计学 2026-01-13 Likun Zhang , Wei Ma

Cross-validation is a statistical tool that can be used to improve large covariance matrix estimation. Although its efficiency is observed in practical applications and a convergence result towards the error of the non linear shrinkage is…

统计理论 · 数学 2025-09-18 Lamia Lamrani , Christian Bongiorno , Marc Potters

Verifying the robustness of machine learning models against evasion attacks at test time is an important research problem. Unfortunately, prior work established that this problem is NP-hard for decision tree ensembles, hence bound to be…

机器学习 · 计算机科学 2023-11-14 Stefano Calzavara , Lorenzo Cazzaro , Giulio Ermanno Pibiri , Nicola Prezza

Cross-validation is a common method for estimating the predictive performance of machine learning models. In a data-scarce regime, where one typically wishes to maximize the number of instances used for training the model, an approach…

统计方法学 · 统计学 2025-03-25 George I. Austin , Itsik Pe'er , Tal Korem

Besides serving as prediction models, classification trees are useful for finding important predictor variables and identifying interesting subgroups in the data. These functions can be compromised by weak split selection algorithms that…

应用统计 · 统计学 2010-11-03 Wei-Yin Loh