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Certifying neural network robustness against adversarial examples is challenging, as formal guarantees often require solving non-convex problems. Hence, incomplete verifiers are widely used because they scale efficiently and substantially…

Machine Learning · Computer Science 2026-02-05 Mohammadreza Maleki , Rushendra Sidibomma , Arman Adibi , Reza Samavi

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…

Machine Learning · Computer Science 2026-02-26 Andrea Apicella , Francesco Isgrò , Andrea Pollastro , Roberto Prevete

State-of-the-art machine learning often follows a two-stage process: $(i)$~pre-training on large, general-purpose datasets; $(ii)$~fine-tuning on task-specific data. In fine-tuning, selecting training examples that closely reflect the…

Machine Learning · Computer Science 2025-10-02 Ayush Jain , Andrea Montanari , Eren Sasoglu

With the growing application of spatial predictive modeling in ecology, the question of how to appropriately evaluate the resulting maps has gained increasing attention. While there is consensus that map accuracy is ideally estimated using…

Methodology · Statistics 2026-05-14 Jan Linnenbrink , Jakub Nowosad , Hanna Meyer

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…

Statistics Theory · Mathematics 2007-06-13 Denis Heng-Yan Leung

Our topic is the use of machine learning to improve software by making choices which do not compromise the correctness of the output, but do affect the time taken to produce such output. We are particularly concerned with computer algebra…

Symbolic Computation · Computer Science 2020-04-16 Dorian Florescu , Matthew England

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

This study extensively compares conventional machine learning methods and deep learning for condition monitoring tasks using an AutoML toolbox. The experiments reveal consistent high accuracy in random K-fold cross-validation scenarios…

Machine Learning · Computer Science 2023-08-29 Payman Goodarzi , Andreas Schütze , Tizian Schneider

Variance estimation is a fundamental problem in statistical modeling. In ultrahigh dimensional linear regressions where the dimensionality is much larger than sample size, traditional variance estimation techniques are not applicable.…

Methodology · Statistics 2010-12-27 Jianqing Fan , Shaojun Guo , Ning Hao

Cross-validation can be used to measure a model's predictive accuracy for the purpose of model comparison, averaging, or selection. Standard leave-one-out cross-validation (LOO-CV) requires that the observation model can be factorized into…

Methodology · Statistics 2021-06-21 Paul-Christian Bürkner , Jonah Gabry , Aki Vehtari

A cross-benchmark has been done on three critical aspects, data imputing, feature selection and regression algorithms, for machine learning based chemical vapor deposition (CVD) virtual metrology (VM). The result reveals that linear feature…

Machine Learning · Computer Science 2021-07-29 Yunsong Xie , Ryan Stearrett

Complex-valued Neural Networks (CVNNs) are often motivated by domains where information is naturally encoded in magnitude and phase. Yet complex-valued inputs alone do not determine when complex arithmetic improves learning: the label…

Machine Learning · Computer Science 2026-05-28 Ashutosh Kumar

Tuning parameter selection is of critical importance for kernel ridge regression. To this date, data driven tuning method for divide-and-conquer kernel ridge regression (d-KRR) has been lacking in the literature, which limits the…

Machine Learning · Statistics 2019-02-20 Ganggang Xu , Zuofeng Shang , Guang Cheng

Cross-validation assesses the predictive ability of a model, allowing one to rank models accordingly. Although the nonparametric bootstrap is almost always used to assess the variability of a parameter, it can be used as the basis for…

Applications · Statistics 2019-09-30 James Stephens Cavenaugh

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…

Methodology · Statistics 2025-10-29 Tuomas Sivula , Måns Magnusson , Asael Alonzo Matamoros , Aki Vehtari

Vovk (2015) introduced cross-conformal prediction, a modification of split conformal designed to improve the width of prediction sets. The method, when trained with a miscoverage rate equal to $\alpha$ and $n \gg K$, ensures a marginal…

Machine Learning · Statistics 2025-05-22 Matteo Gasparin , Aaditya Ramdas

We analyze the performance of cross-validation (CV) in the density estimation framework with two purposes: (i) risk estimation and (ii) model selection. The main focus is given to the so-called leave-$p$-out CV procedure (Lpo), where $p$…

Statistics Theory · Mathematics 2014-10-02 Alain Celisse

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…

Machine Learning · Computer Science 2016-02-05 Tammo Krueger , Danny Panknin , Mikio Braun

The revolutionary developments in the field of supervised machine learning have paved way to the development of CAD tools for assisting doctors in diagnosis. Recently, the former has been employed in the prediction of neurological disorders…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Jerrin Thomas Panachakel , Jeena R. S.

This study's first purpose is to provide quantitative evidence that would incentivize researchers to instead use the more robust method of nested cross-validation. The second purpose is to present methods and MATLAB codes for doing power…

Machine Learning · Computer Science 2024-03-19 Hamzeh Ghasemzadeh , Robert E. Hillman , Daryush D. Mehta