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Models of complex technological systems inherently contain interactions and dependencies among their input variables that affect their joint influence on the output. Such models are often computationally expensive and few sensitivity…

Methodology · Statistics 2025-06-24 Mariia Kozlova , Antti Ahola , Pamphile T. Roy , Julian Scott Yeomans

The main objective of this paper is to propose a new approach for estimating the entire collection of Sobol' indices simultaneously. Our approach exploits the fact that Sobol' indices can be rewritten as solutions to an optimization problem…

Statistics Theory · Mathematics 2025-12-09 Manon Costa , Sébastien Gadat , Xavier Gendre , Thierry Klein

Personalized item ranking has been a crucial component contributing to the performance of recommender systems. As a representative approach, pairwise ranking directly optimizes the ranking with user implicit feedback by constructing…

Information Retrieval · Computer Science 2024-07-30 Bowei He , Chen Ma

In this paper, we are concerned with regression problems where covariates can be grouped in nonoverlapping blocks, and where only a few of them are assumed to be active. In such a situation, the group Lasso is an at- tractive method for…

Information Theory · Computer Science 2013-01-01 Samuel Vaiter , Charles Deledalle , Gabriel Peyré , Jalal Fadili , Charles Dossal

We present an exact approach to analyze and quantify the sensitivity of higher moments of probabilistic loops with symbolic parameters, polynomial arithmetic and potentially uncountable state spaces. Our approach integrates methods from…

Programming Languages · Computer Science 2023-09-06 Marcel Moosbrugger , Julian Müllner , Laura Kovács

This study demonstrates the capabilities of several methods for analyzing the sensitivity of neural networks to perturbations of the input data and interpreting their underlying mechanisms. The investigated approaches include the Sobol…

Numerical Analysis · Mathematics 2025-04-22 Jiaxuan Miao , Sergey Matveev

Data valuation, or the valuation of individual datum contributions, has seen growing interest in machine learning due to its demonstrable efficacy for tasks such as noisy label detection. In particular, due to the desirable axiomatic…

Machine Learning · Computer Science 2022-11-15 Stephanie Schoch , Haifeng Xu , Yangfeng Ji

Every computer model depends on numerical input parameters that are chosen according to mostly conservative but rigorous numerical or empirical estimates. These parameters could for example be the step size for time integrators, a seed for…

Computational Physics · Physics 2020-09-11 Matthias Frey , Andreas Adelmann

Explaining complex or seemingly simple machine learning models is an important practical problem. We want to explain individual predictions from a complex machine learning model by learning simple, interpretable explanations. Shapley values…

Machine Learning · Statistics 2020-02-07 Kjersti Aas , Martin Jullum , Anders Løland

A shortcoming of black-box supervised learning models is their lack of interpretability or transparency. To facilitate interpretation, post-hoc global variable importance measures (VIMs) are widely used to assign to each predictor or input…

Methodology · Statistics 2025-12-25 Jingyu Zhu , Daniel W. Apley

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

In biomedical research the use of discrete scales which describe characteristics of individuals are widely applied for the evaluation of clinical conditions. However, the number of classes (partitions) used in a discrete scale has never…

Methodology · Statistics 2010-05-21 Vasileios Maroulas , Demosthenes B. Panagiotakos

In the field of computer experiments sensitivity analysis aims at quantifying the relative importance of each input parameter (or combinations thereof) of a computational model with respect to the model output uncertainty. Variance…

Computation · Statistics 2014-05-23 Bruno Sudret , Chu Van Mai

Biomechanical models often need to describe very complex systems, organs or diseases, and hence also include a large number of parameters. One of the attractive features of physics-based models is that in those models (most) parameters have…

Computational Engineering, Finance, and Science · Computer Science 2023-01-10 Barbara Wirthl , Sebastian Brandstaeter , Jonas Nitzler , Bernhard A. Schrefler , Wolfgang A. Wall

Additive feature explanations using Shapley values have become popular for providing transparency into the relative importance of each feature to an individual prediction of a machine learning model. While Shapley values provide a unique…

Machine Learning · Computer Science 2021-12-21 Thomas W. Campbell , Heinrich Roder , Robert W. Georgantas , Joanna Roder

The most popular methods for measuring importance of the variables in a black box prediction algorithm make use of synthetic inputs that combine predictor variables from multiple subjects. These inputs can be unlikely, physically…

Machine Learning · Computer Science 2023-04-14 Masayoshi Mase , Art B. Owen , Benjamin B. Seiler

Interpretable machine learning has become a very active area of research due to the rising popularity of machine learning algorithms and their inherently challenging interpretability. Most work in this area has been focused on the…

Machine Learning · Statistics 2023-11-09 Quay Au , Julia Herbinger , Clemens Stachl , Bernd Bischl , Giuseppe Casalicchio

Current practice in interpretable machine learning often focuses on explaining the final model trained from data, e.g., by using the Shapley additive explanations (SHAP) method. The recently developed Shapley variable importance cloud…

Machine Learning · Computer Science 2022-12-19 Yilin Ning , Mingxuan Liu , Nan Liu

In this paper we address the problem of fuzzy measures index calculation. On the basis of fuzzy sets, Murofushi and Soneda proposed an interaction index to deal with the relations between two individuals. This index was later extended in a…

Statistics Theory · Mathematics 2024-02-08 Inmaculada Gutiérrez , Javier Castro , Daniel Gómez , Rosa Espínola

While Shapley Values (SV) are one of the gold standard for interpreting machine learning models, we show that they are still poorly understood, in particular in the presence of categorical variables or of variables of low importance. For…

Machine Learning · Statistics 2022-04-07 Salim I. Amoukou , Nicolas J-B. Brunel , Tangi Salaün