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Generalized cross-validation (GCV) is a widely-used method for estimating the squared out-of-sample prediction risk that employs a scalar degrees of freedom adjustment (in a multiplicative sense) to the squared training error. In this…

统计理论 · 数学 2024-04-23 Pierre C. Bellec , Jin-Hong Du , Takuya Koriyama , Pratik Patil , Kai Tan

Statistical machine learning models should be evaluated and validated before putting to work. Conventional k-fold Monte Carlo Cross-Validation (MCCV) procedure uses a pseudo-random sequence to partition instances into k subsets, which…

机器学习 · 统计学 2019-07-05 Liang Guo , Jianya Liu , Ruodan Lu

We employ random matrix theory to establish consistency of generalized cross validation (GCV) for estimating prediction risks of sketched ridge regression ensembles, enabling efficient and consistent tuning of regularization and sketching…

统计理论 · 数学 2024-03-21 Pratik Patil , Daniel LeJeune

We study subsampling-based ridge ensembles in the proportional asymptotics regime, where the feature size grows proportionally with the sample size such that their ratio converges to a constant. By analyzing the squared prediction risk of…

统计理论 · 数学 2023-07-18 Jin-Hong Du , Pratik Patil , Arun Kumar Kuchibhotla

Cross-validation (CV) is one of the most popular tools for assessing and selecting predictive models. However, standard CV suffers from high computational cost when the number of folds is large. Recently, under the empirical risk…

统计方法学 · 统计学 2023-05-30 Yuetian Luo , Zhimei Ren , Rina Foygel Barber

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

As a technique that can compactly represent complex patterns, machine learning has significant potential for predictive inference. K-fold cross-validation (CV) is the most common approach to ascertaining the likelihood that a machine…

机器学习 · 统计学 2026-04-24 Juan M Gorriz , R. Martin Clemente , F Segovia , J Ramirez , A Ortiz , J. Suckling

Cross-validation (CV) is often used to select the regularization parameter in high dimensional problems. However, when applied to the sparse modeling method Lasso, CV leads to models that are unstable in high-dimensions, and consequently…

统计方法学 · 统计学 2015-10-28 Chinghway Lim , Bin Yu

Hyperparameter tuning plays a crucial role in optimizing the performance of predictive learners. Cross--validation (CV) is a widely adopted technique for estimating the error of different hyperparameter settings. Repeated cross-validation…

机器学习 · 计算机科学 2023-08-01 Giovanni Maria Merola

Many modern data analyses benefit from explicitly modeling dependence structure in data -- such as measurements across time or space, ordered words in a sentence, or genes in a genome. A gold standard evaluation technique is structured…

Structural estimation is an important methodology in empirical economics, and a large class of structural models are estimated through the generalized method of moments (GMM). Traditionally, selection of structural models has been performed…

计量经济学 · 经济学 2018-07-19 Junpei Komiyama , Hajime Shimao

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

Cross-validation (CV) is one of the main tools for performance estimation and parameter tuning in machine learning. The general recipe for computing CV estimate is to run a learning algorithm separately for each CV fold, a computationally…

机器学习 · 统计学 2015-07-02 Pooria Joulani , András György , Csaba Szepesvári

Group number selection is a key problem for group panel data modeling. In this work, we develop a cross-validation (CV) method to tackle this problem. Specifically, we split the panel data into two data folds on the time span, with group…

统计方法学 · 统计学 2025-05-19 Zhe Li , Xuening Zhu , Changliang Zou

Cross-validation (CV) is widely used for tuning a model with respect to user-selected parameters and for selecting a "best" model. For example, the method of $k$-nearest neighbors requires the user to choose $k$, the number of neighbors,…

应用统计 · 统计学 2012-03-01 Hui Shen , William J. Welch , Jacqueline M. Hughes-Oliver

Cross-validation (CV) is a technique for evaluating the ability of statistical models/learning systems based on a given data set. Despite its wide applicability, the rather heavy computational cost can prevent its use as the system size…

机器学习 · 统计学 2016-10-26 Yoshiyuki Kabashima , Tomoyuki Obuchi , Makoto Uemura

It is crucial to assess the predictive performance of a model to establish its practicality and relevance in real-world scenarios, particularly for high-dimensional data analysis. Among data splitting or resampling methods, cross-validation…

统计方法学 · 统计学 2025-11-26 Iris Ivy Gauran , Hernando Ombao , Zhaoxia Yu

We conduct a non asymptotic study of the Cross Validation (CV) estimate of the generalization risk for learning algorithms dedicated to extreme regions of the covariates space. In this Extreme Value Analysis context, the risk function…

统计理论 · 数学 2024-09-12 Anass Aghbalou , Patrice Bertail , François Portier , Anne Sabourin

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

Despite ongoing theoretical research on cross-validation (CV), many theoretical questions remain widely open. This motivates our investigation into how properties of algorithm-distribution pairs can affect the choice for the number of folds…

统计理论 · 数学 2026-01-09 Ido Nachum , Rüdiger Urbanke , Thomas Weinberger
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