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相关论文: Cross Validation for Comparing Multiple Density Es…

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Theoretical developments on cross validation (CV) have mainly focused on selecting one among a list of finite-dimensional models (e.g., subset or order selection in linear regression) or selecting a smoothing parameter (e.g., bandwidth for…

统计理论 · 数学 2008-12-18 Yuhong Yang

Cross-validation is a popular non-parametric method for evaluating the accuracy of a predictive rule. The usefulness of cross-validation depends on the task we want to employ it for. In this note, I discuss a simple non-parametric setting,…

统计方法学 · 统计学 2019-09-27 Stefan Wager

We propose a non-parametric, two-sample Bayesian test for checking whether or not two data sets share a common distribution. The test makes use of data splitting ideas and does not require priors for high-dimensional parameter vectors as do…

统计方法学 · 统计学 2020-03-16 Jeffery Hart , Taeryon Choi , Naveed Merchant

Cross-validation is one of the most popular model selection methods in statistics and machine learning. Despite its wide applicability, traditional cross validation methods tend to select overfitting models, due to the ignorance of the…

统计方法学 · 统计学 2017-12-25 Jing Lei

Used to estimate the risk of an estimator or to perform model selection, cross-validation is a widespread strategy because of its simplicity and its apparent universality. Many results exist on the model selection performances of…

统计理论 · 数学 2011-02-01 Sylvain Arlot , Alain Celisse

Cross-validation is a widely-used technique to estimate prediction error, but its behavior is complex and not fully understood. Ideally, one would like to think that cross-validation estimates the prediction error for the model at hand, fit…

统计方法学 · 统计学 2024-03-12 Stephen Bates , Trevor Hastie , Robert Tibshirani

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

Cross-validation is frequently used for model selection in a variety of applications. However, it is difficult to apply cross-validation to mixed effects models (including nonlinear mixed effects models or NLME models) due to the fact that…

统计方法学 · 统计学 2013-05-24 Emily Colby , Eric Bair

We consider a one-dimensional Gaussian process having exponential covariance function. Under fixed-domain asymptotics, we prove the strong consistency and asymptotic normality of a cross validation estimator of the microergodic covariance…

统计理论 · 数学 2017-07-26 Francois Bachoc , Agnes Lagnoux , Thi Mong Ngoc Nguyen

We introduce a new cross-validation method based on an equicorrelated Gaussian randomization scheme. Our method is well-suited for problems where sample splitting is infeasible, either because the data violate the assumption of independent…

统计方法学 · 统计学 2026-02-10 Sifan Liu , Snigdha Panigrahi , Jake A. Soloff

We propose the density ratio permutation test, a hypothesis test that assesses whether the ratio between two densities is proportional to a known function based on independent samples from each distribution. The test uses an efficient…

统计方法学 · 统计学 2026-01-14 Alberto Bordino , Thomas B. Berrett

We present an efficient method to estimate cross-validation bandwidth parameters for kernel density estimation in very large datasets where ordinary cross-validation is rendered highly inefficient, both statistically and computationally.…

统计方法学 · 统计学 2016-09-02 Anirban Bhattacharya , Jeffrey D. Hart

In density estimation, the mean integrated squared error (MISE) is commonly used as a measure of performance. In that setting, the cross-validation criterion provides an unbiased estimator of the MISE minus the integral of the squared…

统计方法学 · 统计学 2024-07-30 José E. Chacón , Carlos Tenreiro

The problem of validating or criticising models for georeferenced data is challenging, since the conclusions can vary significantly depending on the locations of the validation set. This work proposes the use of cross-validation techniques…

统计计算 · 统计学 2018-02-19 Viviana G R Lobo , Thaís C O da Fonseca , Fernando A S Moura

The issue addressed in this paper is that of testing for common breaks across or within equations of a multivariate system. Our framework is very general and allows integrated regressors and trends as well as stationary regressors. The null…

统计理论 · 数学 2018-01-12 Tatsushi Oka , Pierre Perron

A popular data-driven method for choosing the bandwidth in standard kernel regression is cross-validation. Even when there are outliers in the data, robust kernel regression can be used to estimate the unknown regression curve [Robust and…

统计理论 · 数学 2007-06-13 Denis Heng-Yan Leung

Cross-validation is a standard tool for obtaining a honest assessment of the performance of a prediction model. The commonly used version repeatedly splits data, trains the prediction model on the training set, evaluates the model…

机器学习 · 统计学 2025-10-10 Tianyu Pan , Vincent Z. Yu , Viswanath Devanarayan , Lu Tian

With the increasing size of today's data sets, finding the right parameter configuration in model selection via cross-validation can be an extremely time-consuming task. In this paper we propose an improved cross-validation procedure which…

机器学习 · 计算机科学 2016-02-05 Tammo Krueger , Danny Panknin , Mikio Braun

We consider prediction in multiple studies with potential differences in the relationships between predictors and outcomes. Our objective is to integrate data from multiple studies to develop prediction models for unseen studies. We propose…

统计方法学 · 统计学 2024-07-23 Boyu Ren , Prasad Patil , Francesca Dominici , Giovanni Parmigiani , Lorenzo Trippa

In this paper, we investigate the testing problem that the spectral density matrices of several, not necessarily independent, stationary processes are equal. Based on an $L_2$-type test statistic, we propose a new nonparametric approach,…

统计理论 · 数学 2015-06-03 Carsten Jentsch , Markus Pauly
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