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Shapley-based data valuation provides a principled way to quantify the contribution of training data, but its high computational cost makes it impractical in dynamic settings where tasks and training players evolve. Existing methods treat…

Machine Learning · Computer Science 2026-05-21 Xuan Yang , Hsi-Wen Chen , Ming-Syan Chen , Jian Pei

Shapley values have become one of the most popular feature attribution explanation methods. However, most prior work has focused on post-hoc Shapley explanations, which can be computationally demanding due to its exponential time complexity…

Machine Learning · Computer Science 2021-04-07 Rui Wang , Xiaoqian Wang , David I. Inouye

SHAP explanations are a popular feature-attribution mechanism for explainable AI. They use game-theoretic notions to measure the influence of individual features on the prediction of a machine learning model. Despite a lot of recent…

Artificial Intelligence · Computer Science 2021-02-02 Guy Van den Broeck , Anton Lykov , Maximilian Schleich , Dan Suciu

Measuring contributions is a classical problem in cooperative game theory where the Shapley value is the most well-known solution concept. In this paper, we establish the convergence property of the Shapley value in parametric Bayesian…

Machine Learning · Computer Science 2022-06-15 Lucas Agussurja , Xinyi Xu , Bryan Kian Hsiang Low

A popular explainable AI (XAI) approach to quantify feature importance of a given model is via Shapley values. These Shapley values arose in cooperative games, and hence a critical ingredient to compute these in an XAI context is a…

Machine Learning · Computer Science 2022-02-25 Chih-Kuan Yeh , Kuan-Yun Lee , Frederick Liu , Pradeep Ravikumar

A well-established insight in mortality forecasting is that combining predictions from a set of models improves accuracy compared to relying on a single best model. This paper proposes a novel ensemble approach based on Shapley values, a…

Applications · Statistics 2026-03-05 G. Bimonte , M. Russolillo , Y. Yang , H. L. Shang

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…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Muhammad Rashid , Elvio G. Amparore , Enrico Ferrari , Damiano Verda

In explainable machine learning, local post-hoc explanation algorithms and inherently interpretable models are often seen as competing approaches. This work offers a partial reconciliation between the two by establishing a correspondence…

Machine Learning · Computer Science 2023-02-24 Sebastian Bordt , Ulrike von Luxburg

The Shapley Additive Global Importance (SAGE) value is a theoretically appealing interpretability method that fairly attributes global importance to a model's features. However, its exact calculation requires the computation of the…

Machine Learning · Statistics 2023-04-07 Christoph Luther , Gunnar König , Moritz Grosse-Wentrup

This work focuses on developing efficient post-hoc explanations for quantum AI algorithms. In classical contexts, the cooperative game theory concept of the Shapley value adapts naturally to post-hoc explanations, where it can be used to…

Quantum Physics · Physics 2025-04-18 Iain Burge , Michel Barbeau , Joaquin Garcia-Alfaro

With the widespread use of sophisticated machine learning models in sensitive applications, understanding their decision-making has become an essential task. Models trained on tabular data have witnessed significant progress in explanations…

Machine Learning · Computer Science 2022-06-16 Aditya Lahiri , Kamran Alipour , Ehsan Adeli , Babak Salimi

SHAP is a popular method for measuring variable importance in machine learning models. In this paper, we study the algorithm used to estimate SHAP scores and outline its connection to the functional ANOVA decomposition. We use this…

Methodology · Statistics 2022-11-14 Andrew Herren , P. Richard Hahn

Understanding the decision-making process of machine learning models is crucial for ensuring trustworthy machine learning. Data Shapley, a landmark study on data valuation, advances this understanding by assessing the contribution of each…

Computer Science and Game Theory · Computer Science 2025-01-23 Huaiguang Cai

How important is the weight of a given column in determining the ranking of tuples in a table? To address such an explanation question about a ranking function, we investigate the computation of SHAP scores for column weights, adopting a…

Databases · Computer Science 2026-01-12 Christoph Standke , Nikolaos Tziavelis , Wolfgang Gatterbauer , Benny Kimelfeld

Data is a critical asset for training large language models (LLMs), alongside compute resources and skilled workers. While some training data is publicly available, substantial investment is required to generate proprietary datasets, such…

Machine Learning · Computer Science 2026-01-27 Mélissa Tamine , Otmane Sakhi , Benjamin Heymann

Data samples collected for training machine learning models are typically assumed to be independent and identically distributed (iid). Recent research has demonstrated that this assumption can be problematic as it simplifies the manifold of…

Machine Learning · Computer Science 2019-10-16 Kaixuan Zhang , Qinglong Wang , Xue Liu , C. Lee Giles

As Artificial Intelligence (AI) is having more influence on our everyday lives, it becomes important that AI-based decisions are transparent and explainable. As a consequence, the field of eXplainable AI (or XAI) has become popular in…

Artificial Intelligence · Computer Science 2024-04-18 Nils Ole Breuer , Andreas Sauter , Majid Mohammadi , Erman Acar

While preference modelling is becoming one of the pillars of machine learning, the problem of preference explanation remains challenging and underexplored. In this paper, we propose \textsc{Pref-SHAP}, a Shapley value-based model…

Machine Learning · Statistics 2022-11-09 Robert Hu , Siu Lun Chau , Jaime Ferrando Huertas , Dino Sejdinovic

SHAP (SHapley Additive exPlanations) values are a widely used method for local feature attribution in interpretable and explainable AI. We propose an efficient two-stage algorithm for computing SHAP values in both black-box setting and…

Machine Learning · Computer Science 2025-10-24 Ali Gorji , Andisheh Amrollahi , Andreas Krause

The value and copyright of training data are crucial in the artificial intelligence industry. Service platforms should protect data providers' legitimate rights and fairly reward them for their contributions. Shapley value, a potent tool…

Machine Learning · Computer Science 2025-11-21 Haifeng Sun , Yu Xiong , Runze Wu , Xinyu Cai , Changjie Fan , Lan Zhang , Xiang-Yang Li
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