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In this dissertation, we analyze the computational properties of game-theoretic centrality measures. The key idea behind game-theoretic approach to network analysis is to treat nodes as players in a cooperative game, where the value of each…

计算机科学与博弈论 · 计算机科学 2015-12-08 Piotr Lech Szczepański

The Shapley value is commonly illustrated by roll call votes in which players support or reject a proposal in sequence. If all sequences are equiprobable, a voter's Shapley value can be interpreted as the probability of being pivotal, i.e.,…

计算机科学与博弈论 · 计算机科学 2018-10-04 Sascha Kurz , Stefan Napel

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…

统计方法学 · 统计学 2025-12-25 Jingyu Zhu , Daniel W. Apley

Quantifying the importance of each training point to a learning task is a fundamental problem in machine learning and the estimated importance scores have been leveraged to guide a range of data workflows such as data summarization and…

机器学习 · 计算机科学 2021-04-27 Ruoxi Jia , Fan Wu , Xuehui Sun , Jiacen Xu , David Dao , Bhavya Kailkhura , Ce Zhang , Bo Li , Dawn Song

In this article, we provide an axiomatic characterization of feature attribution for multi-output predictors within the Shapley framework. While SHAP explanations are routinely computed independently for each output coordinate, the…

This paper introduces the shapr R package, a versatile tool for generating Shapley value-based prediction explanations for machine learning and statistical regression models. Moreover, the shaprpy Python library brings the core capabilities…

机器学习 · 计算机科学 2026-02-03 Martin Jullum , Lars Henry Berge Olsen , Jon Lachmann , Annabelle Redelmeier

Explainable AI (XAI) is critical for ensuring transparency, accountability, and trust in machine learning systems as black-box models are increasingly deployed within high-stakes domains. Among XAI methods, Shapley values are widely used…

机器学习 · 计算机科学 2025-02-19 Jiaxin Xu , Hung Chau , Angela Burden

The information decomposition problem requires an additive decomposition of the mutual information between the input and target variables into nonnegative terms. The recently introduced solution to this problem, Information Attribution,…

信息论 · 计算机科学 2022-07-13 Tomáš Kroupa , Sara Vannucci , Tomáš Votroubek

The present work provides an application of Global Sensitivity Analysis to supervised machine learning methods such as Random Forests. These methods act as black boxes, selecting features in high--dimensional data sets as to provide…

机器学习 · 统计学 2024-07-22 Giulia Vannucci , Roberta Siciliano , Andrea Saltelli

For reinforcement learning systems to be widely adopted, their users must understand and trust them. We present a theoretical analysis of explaining reinforcement learning using Shapley values, following a principled approach from game…

机器学习 · 计算机科学 2023-06-12 Daniel Beechey , Thomas M. S. Smith , Özgür Şimşek

It is becoming increasingly important to explain complex, black-box machine learning models. Although there is an expanding literature on this topic, Shapley values stand out as a sound method to explain predictions from any type of machine…

机器学习 · 统计学 2020-07-03 Annabelle Redelmeier , Martin Jullum , Kjersti Aas

Feature importance techniques have enjoyed widespread attention in the explainable AI literature as a means of determining how trained machine learning models make their predictions. We consider Shapley value based approaches to feature…

机器学习 · 计算机科学 2022-10-06 Mattia Villani , Joshua Lockhart , Daniele Magazzeni

Explaining AI systems is fundamental both to the development of high performing models and to the trust placed in them by their users. The Shapley framework for explainability has strength in its general applicability combined with its…

机器学习 · 统计学 2021-12-21 Christopher Frye , Colin Rowat , Ilya Feige

Attribution scores reflect how important the feature values in an input entity are for the output of a machine learning model. One of the most popular attribution scores is the SHAP score, which is an instantiation of the general Shapley…

Originally introduced in game theory, Shapley values have emerged as a central tool in explainable machine learning, where they are used to attribute model predictions to specific input features. However, computing Shapley values exactly is…

机器学习 · 计算机科学 2025-03-11 Christopher Musco , R. Teal Witter

Explaining the decisions of black-box models is a central theme in the study of trustworthy ML. Numerous measures have been proposed in the literature; however, none of them take an axiomatic approach to causal explainability. In this work,…

机器学习 · 计算机科学 2024-02-20 Gagan Biradar , Vignesh Viswanathan , Yair Zick

The presence of artificial intelligence (AI) in our society is increasing, which brings with it the need to understand the behavior of AI mechanisms, including machine learning predictive algorithms fed with tabular data, text or images,…

机器学习 · 统计学 2025-06-06 Pedro Delicado , Cristian Pachón-García

Feature selection is one of the most relevant processes in any methodology for creating a statistical learning model. Usually, existing algorithms establish some criterion to select the most influential variables, discarding those that do…

机器学习 · 统计学 2024-05-10 Carlos Sebastián , Carlos E. González-Guillén

Shapley Values (SV) are widely used in explainable AI, but their estimation and interpretation can be challenging, leading to inaccurate inferences and explanations. As a starting point, we remind an invariance principle for SV and derive…

机器学习 · 统计学 2023-06-01 Salim I. Amoukou , Nicolas J-B. Brunel , Tangi Salaün

Cooperative game theory has become a cornerstone of post-hoc interpretability in machine learning, largely through the use of Shapley values. Yet, despite their widespread adoption, Shapley-based methods often rest on axiomatic…

机器学习 · 统计学 2025-06-18 Marouane Il Idrissi , Agathe Fernandes Machado , Arthur Charpentier