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With the adoption of machine learning-based solutions in routine clinical practice, the need for reliable interpretability tools has become pressing. Shapley values provide local explanations. The method gained popularity in recent years.…

统计方法学 · 统计学 2023-06-27 Lucile Ter-Minassian , Sahra Ghalebikesabi , Karla Diaz-Ordaz , Chris Holmes

Over the last few years, the Shapley value, a solution concept from cooperative game theory, has found numerous applications in machine learning. In this paper, we first discuss fundamental concepts of cooperative game theory and axiomatic…

In spite of increased attention on explainable machine learning models, explaining multi-output predictions has not yet been extensively addressed. Methods that use Shapley values to attribute feature contributions to the decision making…

机器学习 · 计算机科学 2023-03-31 Célia Wafa Ayad , Thomas Bonnier , Benjamin Bosch , Jesse Read

Explainability in AI is crucial for model development, compliance with regulation, and providing operational nuance to predictions. The Shapley framework for explainability attributes a model's predictions to its input features in a…

机器学习 · 计算机科学 2021-12-21 Christopher Frye , Damien de Mijolla , Tom Begley , Laurence Cowton , Megan Stanley , Ilya Feige

As data emerges as a vital driver of technological and economic advancements, a key challenge is accurately quantifying its value in algorithmic decision-making. The Shapley value, a well-established concept from cooperative game theory,…

计算机科学与博弈论 · 计算机科学 2025-11-20 Xi Zheng , Xiangyu Chang , Ruoxi Jia , Yong Tan

Shapley value has recently become a popular way to explain the predictions of complex and simple machine learning models. This paper is discusses the factors that influence Shapley value. In particular, we explore the relationship between…

机器学习 · 统计学 2021-11-24 Harsh Kumar , Jithu Chandran

Shapley values are great analytical tools in game theory to measure the importance of a player in a game. Due to their axiomatic and desirable properties such as efficiency, they have become popular for feature importance analysis in data…

机器学习 · 计算机科学 2020-10-26 Ramin Okhrati , Aldo Lipani

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…

There is much interest lately in explainability in statistics and machine learning. One aspect of explainability is to quantify the importance of various features (or covariates). Two popular methods for defining variable importance are…

统计方法学 · 统计学 2023-03-13 Isabella Verdinelli , Larry Wasserman

This paper proposes a novel approach to explain the predictions made by data-driven methods. Since such predictions rely heavily on the data used for training, explanations that convey information about how the training data affects the…

机器学习 · 统计学 2022-12-09 Andreas Brandsæter , Ingrid K. Glad

Shapley values, a game theoretic concept, has been one of the most popular tools for explaining Machine Learning (ML) models in recent years. Unfortunately, the two most common approaches, conditional and marginal, to calculating Shapley…

计算机科学与博弈论 · 计算机科学 2024-09-11 Ilya Rozenfeld

The Shapley value has become popular in the Explainable AI (XAI) literature, thanks, to a large extent, to a solid theoretical foundation, including four "favourable and fair" axioms for attribution in transferable utility games. The…

机器学习 · 计算机科学 2021-02-23 Daniel Fryer , Inga Strümke , Hien Nguyen

Despite their ubiquitous use, Shapley value feature attributions can be misleading due to feature interaction in both model and data. We propose an alternative attribution approach, Shapley Sets, which awards value to sets of features.…

机器学习 · 计算机科学 2023-07-06 Torty Sivill , Peter Flach

Following the work of Lloyd Shapley on the Shapley value, and tangentially the work of Guillermo Owen, we offer an alternative non-probabilistic formulation of part of the work of Robert J. Weber in his 1978 paper "Probabilistic values for…

理论经济学 · 经济学 2019-05-13 Jacob North Clark , Stephen Montgomery-Smith

What is the value of an individual model in an ensemble of binary classifiers? We answer this question by introducing a class of transferable utility cooperative games called \textit{ensemble games}. In machine learning ensembles,…

机器学习 · 计算机科学 2021-06-14 Benedek Rozemberczki , Rik Sarkar

Originating in game theory, Shapley values are widely used for explaining a machine learning model's prediction by quantifying the contribution of each feature's value to the prediction. This requires a scalar prediction as in binary…

机器学习 · 计算机科学 2025-02-13 Paul-Gauthier Noé , Miquel Perelló-Nieto , Jean-François Bonastre , Peter Flach

For the purpose of explaining multivariate outlyingness, it is shown that the squared Mahalanobis distance of an observation can be decomposed into outlyingness contributions originating from single variables. The decomposition is obtained…

统计方法学 · 统计学 2025-03-17 Marcus Mayrhofer , Peter Filzmoser

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

A variety of recent papers discuss the application of Shapley values, a concept for explaining coalitional games, for feature attribution in machine learning. However, the correct way to connect a machine learning model to a coalitional…

机器学习 · 计算机科学 2020-06-30 Hugh Chen , Joseph D. Janizek , Scott Lundberg , Su-In Lee

"How much is my data worth?" is an increasingly common question posed by organizations and individuals alike. An answer to this question could allow, for instance, fairly distributing profits among multiple data contributors and determining…

机器学习 · 计算机科学 2023-03-07 Ruoxi Jia , David Dao , Boxin Wang , Frances Ann Hubis , Nick Hynes , Nezihe Merve Gurel , Bo Li , Ce Zhang , Dawn Song , Costas Spanos