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Despite the extensive literature on training loss functions, the evaluation of generalization on the validation set remains underexplored. In this work, we conduct a systematic empirical and statistical study of how the validation criterion…

机器学习 · 计算机科学 2026-02-26 Andrea Apicella , Francesco Isgrò , Andrea Pollastro , Roberto Prevete

Importance sampling (IS) is an efficient stand-in for model refitting in performing (LOO) cross-validation (CV) on a Bayesian model. IS inverts the Bayesian update for a single observation by reweighting posterior samples. The so-called…

统计方法学 · 统计学 2026-03-26 Joshua C Chang , Xiangting Li , Tianyi Su , Shixin Xu , Hao-Ren Yao , Julia Porcino , Carson Chow

Conditional independence testing is an important problem, yet provably hard without assumptions. One of the assumptions that has become popular of late is called "model-X", where we assume we know the joint distribution of the covariates,…

统计方法学 · 统计学 2020-07-14 Eugene Katsevich , Aaditya Ramdas

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

This paper investigates the estimation problem in a regression-type model. To be able to deal with potential high dimensions, we provide a procedure called LOL, for Learning Out of Leaders with no optimization step. LOL is an auto-driven…

统计理论 · 数学 2011-01-24 Mathilde Mougeot , Dominique Picard , Karine Tribouley

The present work aims at deriving theoretical guaranties on the behavior of some cross-validation procedures applied to the $k$-nearest neighbors ($k$NN) rule in the context of binary classification. Here we focus on the leave-$p$-out…

统计理论 · 数学 2017-10-13 Alain Celisse , Tristan Mary-Huard

Machine Learning (ML) can substantially improve the efficiency and effectiveness of organizations and is widely used for different purposes within Software Engineering. However, the selection and implementation of ML techniques rely almost…

软件工程 · 计算机科学 2021-09-30 Gouri Deshpande , Guenther Ruhe , Chad Saunders

In this work we propose a framework for constructing goodness of fit tests in both low and high-dimensional linear models. We advocate applying regression methods to the scaled residuals following either an ordinary least squares or Lasso…

统计方法学 · 统计学 2017-04-11 Rajen D. Shah , Peter Bühlmann

With machine learning being a popular topic in current computational materials science literature, creating representations for compounds has become common place. These representations are rarely compared, as evaluating their performance -…

机器学习 · 计算机科学 2023-05-26 Samantha Durdy , Michael Gaultois , Vladimir Gusev , Danushka Bollegala , Matthew J. Rosseinsky

We propose a simple method for evaluating the model that has been chosen by an adaptive regression procedure, our main focus being the lasso. This procedure deletes each chosen predictor and refits the lasso to get a set of models that are…

统计方法学 · 统计学 2018-06-06 Leying Guan , Robert Tibshirani

Multilevel linear models allow flexible statistical modelling of complex data with different levels of stratification. Identifying the most appropriate model from the large set of possible candidates is a challenging problem. In the…

统计方法学 · 统计学 2022-11-15 Tom Edinburgh , Ari Ercole , Stephen J. Eglen

The lasso and related sparsity inducing algorithms have been the target of substantial theoretical and applied research. Correspondingly, many results are known about their behavior for a fixed or optimally chosen tuning parameter specified…

统计理论 · 数学 2016-06-23 Darren Homrighausen , Daniel J. McDonald

Multilevel regression and poststratification (MRP) is a computationally efficient indirect estimation method that can quickly produce improved population-adjusted estimates with limited data. Recent computational advancements allow…

应用统计 · 统计学 2025-05-07 Aja Sutton , Zack W. Almquist , Jon Wakefield

Predictive modelling of multivariate data where both the covariates and responses are high-dimensional is becoming an increasingly popular task in many data mining applications. Partial Least Squares (PLS) regression often turns out to be a…

统计方法学 · 统计学 2013-02-26 Brian McWilliams , Giovanni Montana

Training data increasingly shapes not only model accuracy but also regulatory compliance and market valuation of AI assets. Yet existing valuation methods remain inadequate: model-based techniques depend on a single fitted model and inherit…

机器学习 · 计算机科学 2025-07-04 Jiongli Zhu , Parjanya Prajakta Prashant , Alex Cloninger , Babak Salimi

Multiple systems estimation using a Poisson loglinear model is a standard approach to quantifying hidden populations where data sources are based on lists of known cases. Information criteria are often used for selecting between the large…

统计方法学 · 统计学 2023-11-23 Bernard W. Silverman , Lax Chan , Kyle Vincent

Receiver operating characteristic (ROC) analysis is widely used for evaluating diagnostic systems. Recent studies have shown that estimating an area under ROC curve (AUC) with standard cross-validation methods suffers from a large bias. The…

机器学习 · 统计学 2024-01-25 Ileana Montoya Perez , Antti Airola , Peter J. Boström , Ivan Jambor , Tapio Pahikkala

This paper aims at assessing the power system reliability by estimating loss of load (LOL) index using mutual information based Bayesian approach. Reliability analysis is a key component in the design, analysis and tuning of complex…

应用统计 · 统计学 2017-10-03 Swasti R. Khuntia , Jose L. Rueda , Mart A. M. M. van der Meijden

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

Test-time scaling evaluates reasoning LLMs by sampling multiple outputs per prompt, but ranking models in this regime remains underexplored. We formalize dense benchmark ranking under test-time scaling and introduce Scorio, a library that…

机器学习 · 计算机科学 2026-05-12 Mohsen Hariri , Michael Hinczewski , Jing Ma , Vipin Chaudhary