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Generalized additive partial linear models (GAPLMs) are appealing for model interpretation and prediction. However, for GAPLMs, the covariates and the degree of smoothing in the nonparametric parts are often difficult to determine in…

统计方法学 · 统计学 2022-12-06 Ze Chen , Jun Liao , Wangli Xu , Yuhong Yang

Common cross-validation (CV) methods like k-fold cross-validation or Monte-Carlo cross-validation estimate the predictive performance of a learner by repeatedly training it on a large portion of the given data and testing on the remaining…

机器学习 · 计算机科学 2021-11-30 Felix Mohr , Jan N. van Rijn

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

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

In many applications, we have access to the complete dataset but are only interested in the prediction of a particular region of predictor variables. A standard approach is to find the globally best modeling method from a set of candidate…

机器学习 · 统计学 2022-02-21 Jiawei Zhang , Jie Ding , Yuhong Yang

Evaluating the predictive performance of species distribution models (SDMs) under realistic deployment scenarios requires careful handling of spatial and temporal dependencies in the data. Cross-validation (CV) is the standard approach for…

应用统计 · 统计学 2025-12-22 Diana Koldasbayeva , Alexey Zaytsev

In machine learning one often assumes the data are independent when evaluating model performance. However, this rarely holds in practise. Geographic information data sets are an example where the data points have stronger dependencies among…

应用统计 · 统计学 2020-06-01 Jonne Pohjankukka , Tapio Pahikkala , Paavo Nevalainen , Jukka Heikkonen

Support vector machine (SVM) is a well-known statistical technique for classification problems in machine learning and other fields. An important question for SVM is the selection of covariates (or features) for the model. Many studies have…

统计方法学 · 统计学 2022-02-22 Jiahui Zou , Chaoxia Yuan , Xinyu Zhang , Guohua Zou , Alan T. K. Wan

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…

For linear models that may have asymmetric errors, we study variable selection by cross-validation. The data are split into training and validation sets, with the number of observations in the validation set much larger than in the training…

统计方法学 · 统计学 2026-01-16 Bilel Bousselmi , Gabriela Ciuperca

In this paper, we propose a model averaging approach for addressing model uncertainty in the context of partial linear functional additive models. These models are designed to describe the relation between a response and mixed-types of…

统计方法学 · 统计学 2023-06-12 Shishi Liu , Jingxiao Zhang

Cross-Validation (CV) is the default choice for evaluating the performance of machine learning models. Despite its wide usage, their statistical benefits have remained half-understood, especially in challenging nonparametric regimes. In…

统计理论 · 数学 2024-08-22 Garud Iyengar , Henry Lam , Tianyu Wang

We present a methodology for model evaluation and selection where the sampling mechanism violates the i.i.d. assumption. Our methodology involves a formulation of the bias between the standard Cross-Validation (CV) estimator and the mean…

统计方法学 · 统计学 2025-03-14 Oren Yuval , Saharon Rosset

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

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

A general framework is that the estimators of a distribution are obtained by minimizing a function (the estimating function) and they are assessed through another function (the assessment function). The estimating and assessment functions…

统计理论 · 数学 2022-01-14 Daniel Commenges , Cécile Proust-Lima , Cécilia Samieri , Benoit Liquet

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

Model averaging is an important alternative to model selection with attractive prediction accuracy. However, its application to high-dimensional data remains under-explored. We propose a high-dimensional model averaging method via…

统计理论 · 数学 2025-06-11 Zhengyan Wan , Fang Fang , Binyan Jiang

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

In machine learning, statistics, econometrics and statistical physics, cross-validation (CV) is used asa standard approach in quantifying the generalisation performance of a statistical model. A directapplication of CV in time-series leads…

机器学习 · 统计学 2021-12-14 Mehmet Süzen , Alper Yegenoglu
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