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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…

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

In anomaly detection, the degree of irregularity is often summarized as a real-valued anomaly score. We address the problem of attributing such anomaly scores to input features for interpreting the results of anomaly detection. We…

机器学习 · 计算机科学 2023-07-24 Naoya Takeishi , Yoshinobu Kawahara

The attribution problem, that is the problem of attributing a model's prediction to its base features, is well-studied. We extend the notion of attribution to also apply to feature interactions. The Shapley value is a commonly used method…

计算机科学与博弈论 · 计算机科学 2020-02-11 Kedar Dhamdhere , Ashish Agarwal , Mukund Sundararajan

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

Model interpretability is one of the most intriguing problems in most of the Machine Learning models, particularly for those that are mathematically sophisticated. Computing Shapley Values are arguably the best approach so far to find the…

机器学习 · 统计学 2022-04-15 Indranil Basu , Subhadip Maji

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 values are widely used for model-agnostic data valuation and feature attribution, yet they implicitly assume contributors are interchangeable. This can be problematic when contributors are dependent (e.g., reused/augmented data or…

机器学习 · 计算机科学 2026-02-11 Kiljae Lee , Ziqi Liu , Weijing Tang , Yuan Zhang

The complex nature of artificial neural networks raises concerns on their reliability, trustworthiness, and fairness in real-world scenarios. The Shapley value -- a solution concept from game theory -- is one of the most popular explanation…

机器学习 · 计算机科学 2023-12-29 Jacopo Teneggi , Beepul Bharti , Yaniv Romano , Jeremias Sulam

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

Feature attributions based on the Shapley value are popular for explaining machine learning models; however, their estimation is complex from both a theoretical and computational standpoint. We disentangle this complexity into two factors:…

机器学习 · 计算机科学 2022-07-18 Hugh Chen , Ian C. Covert , Scott M. Lundberg , Su-In Lee

Shapley values have become increasingly popular in the machine learning literature thanks to their attractive axiomatisation, flexibility, and uniqueness in satisfying certain notions of `fairness'. The flexibility arises from the myriad…

机器学习 · 统计学 2021-03-09 Daniel Vidali Fryer , Inga Strümke , Hien Nguyen

Shapley value is a concept from game theory. Recently, it has been used for explaining complex models produced by machine learning techniques. Although the mathematical definition of Shapley value is straight-forward, the implication of…

机器学习 · 计算机科学 2020-08-13 Sisi Ma , Roshan Tourani

Pixel-level feature attributions are an important tool in eXplainable AI for Computer Vision (XCV), providing visual insights into how image features influence model predictions. The Owen formula for hierarchical Shapley values has been…

计算机视觉与模式识别 · 计算机科学 2026-03-26 Muhammad Rashid , Elvio G. Amparore , Enrico Ferrari , Damiano Verda

Feature attributions are a common paradigm for model explanations due to their simplicity in assigning a single numeric score for each input feature to a model. In the actionable recourse setting, wherein the goal of the explanations is to…

机器学习 · 计算机科学 2022-05-17 Emanuele Albini , Jason Long , Danial Dervovic , Daniele Magazzeni

Many existing approaches for estimating feature importance are problematic because they ignore or hide dependencies among features. A causal graph, which encodes the relationships among input variables, can aid in assigning feature…

机器学习 · 计算机科学 2021-03-01 Jiaxuan Wang , Jenna Wiens , Scott Lundberg

A number of techniques have been proposed to explain a machine learning model's prediction by attributing it to the corresponding input features. Popular among these are techniques that apply the Shapley value method from cooperative game…

机器学习 · 计算机科学 2020-06-29 Luke Merrick , Ankur Taly

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…

机器学习 · 统计学 2020-02-07 Kjersti Aas , Martin Jullum , Anders Løland

In this paper, we introduce the idea of decomposing the residuals of regression with respect to the data instances instead of features. This allows us to determine the effects of each individual instance on the model and each other, and in…

机器学习 · 计算机科学 2023-05-31 Tommy Liu , Amanda Barnard

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