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Cross-Validation (CV), and out-of-sample performance-estimation protocols in general, are often employed both for (a) selecting the optimal combination of algorithms and values of hyper-parameters (called a configuration) for producing the…

机器学习 · 计算机科学 2017-08-28 Ioannis Tsamardinos , Elissavet Greasidou , Michalis Tsagris , Giorgos Borboudakis

Bayesian cross-validation (CV) is a popular method for predictive model assessment that is simple to implement and broadly applicable. A wide range of CV schemes is available for time series applications, including generic leave-one-out…

统计方法学 · 统计学 2023-10-12 Alex Cooper , Dan Simpson , Lauren Kennedy , Catherine Forbes , Aki Vehtari

In supervised learning, the estimation of prediction error on unlabeled test data is an important task. Existing methods are usually built on the assumption that the training and test data are sampled from the same distribution, which is…

统计方法学 · 统计学 2022-09-30 Hui Xu , Robert Tibshirani

Spatially and temporally varying coefficient (STVC) models are currently attracting attention as a flexible tool to explore the spatio-temporal patterns in regression coefficients. However, these models often struggle with balancing…

统计方法学 · 统计学 2025-01-07 Daisuke Murakami , Shinichiro Shirota , Seiji Kajita , Mami Kajita

It is useful to estimate the expected predictive performance of models planned to be used for prediction. We focus on leave-one-out cross-validation (LOO-CV), which has become a popular method for estimating predictive performance of…

统计方法学 · 统计学 2025-10-29 Tuomas Sivula , Måns Magnusson , Asael Alonzo Matamoros , Aki Vehtari

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

This paper presents the first general (supervised) statistical learning framework for point processes in general spaces. Our approach is based on the combination of two new concepts, which we define in the paper: i) bivariate innovations,…

统计方法学 · 统计学 2021-03-03 Ottmar Cronie , Mehdi Moradi , Christophe A. N. Biscio

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

统计方法学 · 统计学 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

We present a vine copula based composite likelihood approach to model spatial dependencies, which allows to perform prediction at arbitrary locations. This approach combines established methods to model (spatial) dependencies. On the one…

统计方法学 · 统计学 2014-07-04 Tobias Michael Erhardt , Claudia Czado , Ulf Schepsmeier

This study discusses the importance of balancing spatial and non-spatial variation in spatial regression modeling. Unlike spatially varying coefficients (SVC) modeling, which is popular in spatial statistics, non-spatially varying…

应用统计 · 统计学 2021-05-31 Daisuke Murakami , Daniel A. Griffith

Traditional variable selection methods could fail to be sign consistent when irrepresentable conditions are violated. This is especially critical in high-dimensional settings when the number of predictors exceeds the sample size. In this…

统计方法学 · 统计学 2022-04-26 Fei Xue , Annie Qu

Spatially varying coefficients (SVC) models allow for marginal effects to be non-stationary over space and thus offer a higher degree of flexibility with respect to standard geostatistical models with external drift. At the same time, SVC…

统计方法学 · 统计学 2025-11-27 Yacine Mohamed Idir , Thomas Romary

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

Many modern datasets, such as those in ecology and geology, are composed of samples with spatial structure and dependence. With such data violating the usual independent and identically distributed (IID) assumption in machine learning and…

统计方法学 · 统计学 2023-10-18 Kevin Fry , Jonathan E. Taylor

We introduce a novel cross-validation method that we call latinCV and we compare this method to other model selection methods using data generated from a stochastic block model. Comparing latinCV to other cross-validation methods, we show…

统计方法学 · 统计学 2016-05-11 Beau Dabbs , Brian Junker

State-of-the-art automated machine learning systems for tabular data often employ cross-validation; ensuring that measured performances generalize to unseen data, or that subsequent ensembling does not overfit. However, using k-fold…

机器学习 · 计算机科学 2024-08-05 Edward Bergman , Lennart Purucker , Frank Hutter

The k-fold cross-validation is commonly used to evaluate the effectiveness of SVMs with the selected hyper-parameters. It is known that the SVM k-fold cross-validation is expensive, since it requires training k SVMs. However, little work…

机器学习 · 计算机科学 2017-02-07 Zeyi Wen , Bin Li , Rao Kotagiri , Jian Chen , Yawen Chen , Rui Zhang

Support vector classification (SVC) is a classical and well-performed learning method for classification problems. A regularization parameter, which significantly affects the classification performance, has to be chosen and this is usually…

最优化与控制 · 数学 2021-10-06 Qingna Li , Zhen Li , Alain Zemkoho

Many machine learning algorithms require precise estimates of covariance matrices. The sample covariance matrix performs poorly in high-dimensional settings, which has stimulated the development of alternative methods, the majority based on…

机器学习 · 统计学 2016-11-04 Daniel Bartz

A key challenge in environmental health research is unmeasured spatial confounding, driven by unobserved spatially structured variables that influence both treatment and outcome. A common approach is to fit a spatial regression that models…

统计方法学 · 统计学 2025-12-23 Sophie M. Woodward , Francesca Dominici , Jose R. Zubizarreta