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A novel theoretical and numerical framework for the estimation of Sobol sensitivity indices for models in which inputs are confined to a non-rectangular domain (e.g., in presence of inequality constraints) is developed. Two numerical…

Statistics Theory · Mathematics 2016-05-18 S. Kucherenko , O. V. Klymenko , N. Shah

In uncertainty quantification, evaluating sensitivity measures under specific conditions (i.e., conditional Sobol' indices) is essential for systems with parameterized responses, such as spatial fields or varying operating conditions.…

Machine Learning · Statistics 2026-04-22 Shijie Zhong , Jiangfeng Fu

Global sensitivity analysis aims at quantifying the impact of input variability onto the variation of the response of a computational model. It has been widely applied to deterministic simulators, for which a set of input parameters has a…

Computation · Statistics 2021-06-01 X. Zhu , B. Sudret

Large scale image classification models trained on top of popular datasets such as Imagenet have shown to have a distributional skew which leads to disparities in prediction accuracies across different subsections of population…

Computer Vision and Pattern Recognition · Computer Science 2021-07-21 Rohan Mahadev , Anindya Chakravarti

Global sensitivity analysis (GSA) aims at quantifying the contribution of input variables over the variability of model outputs. In the frame of functional outputs, a common goal is to compute sensitivity maps (SM), i.e sensitivity indices…

Statistics Theory · Mathematics 2024-12-12 Yuri Sao , Olivier Roustant , Geraldo de Freitas Maciel

Generalization capability to unseen domains is crucial for machine learning models when deploying to real-world conditions. We investigate the challenging problem of domain generalization, i.e., training a model on multi-domain source data…

Computer Vision and Pattern Recognition · Computer Science 2019-10-31 Qi Dou , Daniel C. Castro , Konstantinos Kamnitsas , Ben Glocker

Machine learning approaches for image classification have led to impressive advances in that field. For example, convolutional neural networks are able to achieve remarkable image classification accuracy across a wide range of applications…

Machine Learning · Statistics 2025-10-30 Christopher T. Franck , Anne R. Driscoll , Zoe Szajnfarber , William H. Woodall

Global sensitivity analysis is the main quantitative technique for identifying the most influential input variables in a numerical simulation model. In particular when the inputs are independent, Sobol' sensitivity indices attribute a…

Statistics Theory · Mathematics 2021-01-15 Sébastien da Veiga

In global sensitivity analysis, the well known Sobol' sensitivity indices aim to quantify how the variance in the output of a mathematical model can be apportioned to the different variances of its input random variables. These indices are…

Statistics Theory · Mathematics 2018-01-11 Nazih Benoumechiara , Kevin Elie-Dit-Cosaque

In the AutoML domain, test accuracy is heralded as the quintessential metric for evaluating model efficacy, underpinning a wide array of applications from neural architecture search to hyperparameter optimization. However, the reliability…

Machine Learning · Computer Science 2024-09-24 Pawel Pukowski , Haiping Lu

Predictions from science and engineering models depend on several input parameters. Global sensitivity analysis quantifies the importance of each input parameter, which can lead to insight into the model and reduced computational cost;…

Numerical Analysis · Mathematics 2016-07-28 Paul G. Constantine , Paul Diaz

In the framework of the estimation of safety margins in nuclear accident analysis, a quantitative assessment of the uncertainties tainting the results of computer simulations is essential. Accurate uncertainty propagation (estimation of…

Applications · Statistics 2019-01-01 Bertrand Iooss , Amandine Marrel

The impressive growth of data throughput in optical microscopy has triggered a widespread use of supervised learning (SL) models running on compressed image datasets for efficient automated analysis. However, since lossy image compression…

Deep neural networks (DNNs) are typically evaluated under the assumption that each image has a single correct label. However, many images in benchmarks like ImageNet contain multiple valid labels, creating a mismatch between evaluation…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Esla Timothy Anzaku , Seyed Amir Mousavi , Arnout Van Messem , Wesley De Neve

Fine-grained multi-label classification models have broad applications in e-commerce, such as visual based label predictions ranging from fashion attribute detection to brand recognition. One challenge to achieve satisfactory performance…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Xin Shen , Xiaonan Zhao , Rui Luo

An open scientific challenge is how to classify events with reliable measures of uncertainty, when we have a mechanistic model of the data-generating process but the distribution over both labels and latent nuisance parameters is different…

Machine Learning · Statistics 2024-07-02 Luca Masserano , Alex Shen , Michele Doro , Tommaso Dorigo , Rafael Izbicki , Ann B. Lee

In this paper, we introduce new indices adapted to outputs valued in general metric spaces. This new class of indices encompasses the classical ones; in particular, the so-called Sobol indices and the Cram{\'e}r-von-Mises indices.…

Statistics Theory · Mathematics 2021-01-21 Fabrice Gamboa , Thierry Klein , Agnès Lagnoux , Leonardo Moreno

Machine learning (ML) is a promising tool for the detection of phases of matter. However, ML models are also known for their black-box construction, which hinders understanding of what they learn from the data and makes their application to…

We study how the training data distribution affects confidence and performance in image classification models. We introduce Embedding Density, a model-agnostic framework that estimates prediction confidence by measuring the distance of test…

Machine Learning · Computer Science 2026-01-28 Maksim Kazanskii , Artem Kasianov

Though deep neural networks have achieved impressive success on various vision tasks, obvious performance degradation still exists when models are tested in out-of-distribution scenarios. In addressing this limitation, we ponder that the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Xiaotong Li , Zixuan Hu , Jun Liu , Yixiao Ge , Yongxing Dai , Ling-Yu Duan