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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

This paper presents a theory of error in cross-validation testing of algorithms for predicting real-valued attributes. The theory justifies the claim that predicting real-valued attributes requires balancing the conflicting demands of…

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

Conformal prediction (CP) offers a principled framework for uncertainty quantification, but it fails to guarantee coverage when faced with missing covariates. In addressing the heterogeneity induced by various missing patterns,…

Machine Learning · Statistics 2025-12-17 Jiarong Fan , Juhyun Park. Thi Phuong Thuy Vo , Nicolas Brunel

Safety performance evaluation is critical for developing and deploying connected and automated vehicles (CAVs). One prevailing way is to design testing scenarios using prior knowledge of CAVs, test CAVs in these scenarios, and then evaluate…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Jingxuan Yang , Haowei Sun , Honglin He , Yi Zhang , Shuo Feng , Henry X. Liu

In this paper the accuracy and robustness of quality measures for the assessment of machine learning models are investigated. The prediction quality of a machine learning model is evaluated model-independent based on a cross-validation…

Machine Learning · Statistics 2024-10-07 Thomas Most , Lars Gräning , Sebastian Wolff

Self-supervised learning on graphs has made large strides in achieving great performance in various downstream tasks. However, many state-of-the-art methods suffer from a number of impediments, which prevent them from realizing their full…

Machine Learning · Computer Science 2023-08-02 William Shiao , Uday Singh Saini , Yozen Liu , Tong Zhao , Neil Shah , Evangelos E. Papalexakis

Assessing the model fit quality of statistical models for network data is an ongoing and under-examined topic in statistical network analysis. Traditional metrics for evaluating model fit on tabular data such as the Bayesian Information…

Methodology · Statistics 2018-07-05 Jun Hee Kim , Eun Kyung Kwon , Qian Sha , Brian Junker , Tracy Sweet

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…

Methodology · Statistics 2025-03-25 George I. Austin , Itsik Pe'er , Tal Korem

We analyze the statistical properties of generalized cross-validation (GCV) and leave-one-out cross-validation (LOOCV) applied to early-stopped gradient descent (GD) in high-dimensional least squares regression. We prove that GCV is…

Statistics Theory · Mathematics 2024-02-27 Pratik Patil , Yuchen Wu , Ryan J. Tibshirani

Digital twin models allow us to continuously assess the possible risk of damage and failure of a complex system. Yet high-fidelity digital twin models can be computationally expensive, making quick-turnaround assessment challenging. Towards…

Numerical Analysis · Mathematics 2023-01-05 Dongjin Lee , Boris Kramer

Effective data partitioning is known to be crucial in machine learning. Traditional cross-validation methods like K-Fold Cross-Validation (KFCV) enhance model robustness but often compromise generalisation assessment due to high…

Machine Learning · Computer Science 2025-08-05 Christopher Godwin Udomboso , Caston Sigauke , Ini Adinya

Approximate Bayesian Computation (ABC) methods are commonly used to approximate posterior distributions in models with unknown or computationally intractable likelihoods. Classical ABC methods are based on nearest neighbor type algorithms…

Methodology · Statistics 2025-06-24 Meili Baragatti , Casenave Céline , Bertrand Cloez , David Métivier , Isabelle Sanchez

Cross-validation is a useful and generally applicable technique often employed in machine learning, including decision tree induction. An important disadvantage of straightforward implementation of the technique is its computational…

Machine Learning · Computer Science 2007-05-23 Hendrik Blockeel , Jan Struyf

The adaptive lasso refers to a class of methods that use weighted versions of the $L_1$-norm penalty, with weights derived from an initial estimate of the parameter vector to be estimated. Irrespective of the method chosen to compute this…

Methodology · Statistics 2021-07-16 Ballout Nadim , Etievant Lola , Viallon Vivian

Brute force cross-validation (CV) is a method for predictive assessment and model selection that is general and applicable to a wide range of Bayesian models. Naive or `brute force' CV approaches are often too computationally costly for…

Methodology · Statistics 2024-01-17 Alex Cooper , Aki Vehtari , Catherine Forbes , Lauren Kennedy , Dan Simpson

Feed-forward visual geometry estimation has recently made rapid progress. However, an important gap remains: multi-frame models usually produce better cross-frame consistency, yet they often underperform strong per-frame methods on…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Guangkai Xu , Hua Geng , Huanyi Zheng , Songyi Yin , Yanlong Sun , Hao Chen , Chunhua Shen

Change detection (CD) identifies scene changes from multi-temporal observations and is widely used in urban development and environmental monitoring. Most existing CD methods rely on supervised learning, making performance strongly…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Ziqiang Zhu , Bowei Yang

This study proposes an unsupervised sequence-to-sequence learning approach that automatically assesses the motion-induced reliability degradation of the cardiac volume signal (CVS) in multi-channel electrical impedance-based hemodynamic…

Signal Processing · Electrical Eng. & Systems 2023-05-18 Chang Min Hyun , Tae-Geun Kim , Kyounghun Lee

Machine learning technologies have been used in a wide range of practical systems. In practical situations, it is natural to expect the input-output pairs of a machine learning model to satisfy some requirements. However, it is difficult to…

Machine Learning · Computer Science 2022-10-12 Masaaki Nishino , Kengo Nakamura , Norihito Yasuda

Continuous-time Bayesian networks (CTBNs) constitute a general and powerful framework for modeling continuous-time stochastic processes on networks. This makes them particularly attractive for learning the directed structures among…

Machine Learning · Statistics 2018-10-15 Dominik Linzner , Heinz Koeppl