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We investigate leave-one-out cross validation (CV) as a determinator of the weight of the penalty term in the least absolute shrinkage and selection operator (LASSO). First, on the basis of the message passing algorithm and a perturbative…

Information Theory · Computer Science 2016-06-22 Tomoyuki Obuchi , Yoshiyuki Kabashima

We theoretically analyze and compare the following five popular multiclass classification methods: One vs. All, All Pairs, Tree-based classifiers, Error Correcting Output Codes (ECOC) with randomly generated code matrices, and Multiclass…

Machine Learning · Computer Science 2013-02-19 Amit Daniely , Sivan Sabato , Shai Shalev Shwartz

In this paper we provide insight into the empirical properties of indirect cross-validation (ICV), a new method of bandwidth selection for kernel density estimators. First, we describe the method and report on the theoretical results used…

Methodology · Statistics 2008-12-02 Olga Y. Savchuk , Jeffrey D. Hart , Simon J. Sheather

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…

Methodology · Statistics 2023-10-18 Kevin Fry , Jonathan E. Taylor

A popular technique for selecting and tuning machine learning estimators is cross-validation. Cross-validation evaluates overall model fit, usually in terms of predictive accuracy. In causal inference, the optimal choice of estimator…

Methodology · Statistics 2021-07-07 Dominik Rothenhäusler

Causal inference starts with a simple idea: compare groups that differ by treatment, not much else. Traditionally, similar groups are constructed using only observed covariates; however, it remains a long-standing challenge to incorporate…

Methodology · Statistics 2025-11-21 Ying Jin , José Zubizarreta

Multifidelity modeling has been steadily gaining attention as a tool to address the problem of exorbitant model evaluation costs that makes the estimation of failure probabilities a significant computational challenge for complex real-world…

Methodology · Statistics 2024-11-26 Promit Chakroborty , Somayajulu L. N. Dhulipala , Michael D. Shields

Conformal risk control (CRC) is a recently proposed technique that applies post-hoc to a conventional point predictor to provide calibration guarantees. Generalizing conformal prediction (CP), with CRC, calibration is ensured for a set…

Machine Learning · Computer Science 2024-05-02 Kfir M. Cohen , Sangwoo Park , Osvaldo Simeone , Shlomo Shamai

Virtual cell (VC) models aim to predict cellular responses to any perturbations in silico and have emerged as a promising approach for drug discovery and precision medicine. Yet, a clear gap still remains: while models routinely reported…

Cell Behavior · Quantitative Biology 2026-05-01 Xinjie Mao , Songming Zhang , Qianhong Wen , Xiangyu Wen , Kedu Jin , Hao Wu , Shuizhou Chen , Yuqiang Li , Lei Bai , Qi Liu , Ning Ding , Siqi Sun , Zhangyang Gao

This paper deals with the issue of ecological bias in ecological inference. We provide an explicit formulation of the conditions required for the ordinary ecological regression to produce unbiased estimates and argue that, when these…

Applications · Statistics 2015-09-11 Michela Gnaldi , Venera Tomaselli , Antonio Forcina

Parameter selection in high-dimensional models is typically finetuned in a way that keeps the (relative) number of false positives under control. This is because otherwise the few true positives may be dominated by the many possible false…

Machine Learning · Computer Science 2023-06-27 Maarten Jansen

Model selection is of fundamental importance to high dimensional modeling featured in many contemporary applications. Classical principles of model selection include the Kullback-Leibler divergence principle and the Bayesian principle,…

Statistics Theory · Mathematics 2016-05-12 Jinchi Lv , Jun S. Liu

Recently, new methods for model assessment, based on subsampling and posterior approximations, have been proposed for scaling leave-one-out cross-validation (LOO) to large datasets. Although these methods work well for estimating predictive…

Methodology · Statistics 2020-08-12 Måns Magnusson , Michael Riis Andersen , Johan Jonasson , Aki Vehtari

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…

Methodology · Statistics 2015-10-28 Chinghway Lim , Bin Yu

Information criteria such as Akaike's (AIC) and Bayes' (BIC) are widely used for model selection in physics and beyond, quantifying the tradeoff between model complexity and goodness-of-fit to enforce parsimony. However, their derivation…

Dynamical Systems · Mathematics 2025-11-20 Kumar Utkarsh , Daniel M. Abrams

Researchers often frame quantitative research as objective, but every step in data collection and analysis can bias findings in often unexamined ways. In this investigation, we examined how the process of selecting variables to include in…

Physics Education · Physics 2021-11-16 Ben Van Dusen , Jayson Nissen

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

Methodology · Statistics 2016-12-23 Marbac Matthieu , Sedki Mohammed

This paper introduces e-fold cross-validation, an energy-efficient alternative to k-fold cross-validation. It dynamically adjusts the number of folds based on a stopping criterion. The criterion checks after each fold whether the standard…

Machine Learning · Computer Science 2024-10-29 Christopher Mahlich , Tobias Vente , Joeran Beel

This paper begins with a general theory of error in cross-validation testing of algorithms for supervised learning from examples. It is assumed that the examples are described by attribute-value pairs, where the values are symbolic.…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney

Information criteria (IC) have been widely used in factor models to estimate an unknown number of latent factors. It has recently been shown that IC perform well in Common Correlated Effects (CCE) and related setups in selecting a set of…

Econometrics · Economics 2025-10-07 Jan Ditzen , Ovidijus Stauskas