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This paper re-examines the Shapley value methods for attribution analysis in the area of online advertising. As a credit allocation solution in cooperative game theory, Shapley value method directly quantifies the contribution of online…

Econometrics · Economics 2018-04-17 Kaifeng Zhao , Seyed Hanif Mahboobi , Saeed R. Bagheri

The Shapley value is a ubiquitous framework for attribution in machine learning, encompassing feature importance, data valuation, and causal inference. However, its exact computation is generally intractable, necessitating efficient…

Machine Learning · Computer Science 2026-02-03 Fabian Fumagalli , Landon Butler , Justin Singh Kang , Kannan Ramchandran , R. Teal Witter

Deep neural networks have gained momentum based on their accuracy, but their interpretability is often criticised. As a result, they are labelled as black boxes. In response, several methods have been proposed in the literature to explain…

Machine Learning · Computer Science 2022-07-05 Cosimo Izzo , Aldo Lipani , Ramin Okhrati , Francesca Medda

Machine unlearning strives to uphold the data owners' right to be forgotten by enabling models to selectively forget specific data. Recent advances suggest pre-computing and storing statistics extracted from second-order information and…

Machine Learning · Computer Science 2025-02-07 Xinbao Qiao , Meng Zhang , Ming Tang , Ermin Wei

Aligning large language models (LLMs) to value systems has emerged as a significant area of research within the fields of AI and NLP. Currently, this alignment process relies on the availability of high-quality supervised and preference…

Computation and Language · Computer Science 2024-08-21 Inkit Padhi , Karthikeyan Natesan Ramamurthy , Prasanna Sattigeri , Manish Nagireddy , Pierre Dognin , Kush R. Varshney

Large language models (LLMs) may memorize sensitive or copyrighted content, raising privacy and legal concerns. Due to the high cost of retraining from scratch, researchers attempt to employ machine unlearning to remove specific content…

Computation and Language · Computer Science 2025-08-12 Xiaojian Yuan , Tianyu Pang , Chao Du , Kejiang Chen , Weiming Zhang , Min Lin

Originally rooted in game theory, the Shapley Value (SV) has recently become an important tool in machine learning research. Perhaps most notably, it is used for feature attribution and data valuation in explainable artificial intelligence.…

As diffusion models are deployed in real-world settings, and their performance is driven by training data, appraising the contribution of data contributors is crucial to creating incentives for sharing quality data and to implementing…

Machine Learning · Computer Science 2025-03-05 Chris Lin , Mingyu Lu , Chanwoo Kim , Su-In Lee

As opaque black-box predictive models become more prevalent, the need to develop interpretations for these models is of great interest. The concept of variable importance and Shapley values are interpretability measures that applies to any…

Machine Learning · Statistics 2025-03-10 Zexuan Sun , Garvesh Raskutti

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

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…

Methodology · Statistics 2023-03-13 Isabella Verdinelli , Larry Wasserman

Large Language Models (LLMs) inevitably memorize sensitive information during training, posing significant privacy risks. Machine unlearning has emerged as a promising solution to selectively remove such information without full retraining.…

Machine Learning · Computer Science 2026-04-02 Yuze Wang , Yujia Tong , Xuan Liu , Junhao Dong

Originally introduced in cooperative game theory, Shapley values have become a very popular tool to explain machine learning predictions. Based on Shapley's fairness axioms, every input (feature component) gets a credit how it contributes…

Machine Learning · Statistics 2025-08-19 Michael Mayer , Mario V. Wüthrich

Shapley effects are attracting increasing attention as sensitivity measures. When the value function is the conditional variance, they account for the individual and higher order effects of a model input. They are also well defined under…

Computation · Statistics 2021-10-13 Elmar Plischke , Giovanni Rabitti , Emanuele Borgonovo

Machine Unlearning, the process of selectively eliminating the influence of certain data examples used during a model's training, has gained significant attention as a means for practitioners to comply with recent data protection…

Machine Learning · Computer Science 2024-03-22 Daniel Trippa , Cesare Campagnano , Maria Sofia Bucarelli , Gabriele Tolomei , Fabrizio Silvestri

Real-world data is often incomplete and contains missing values. To train accurate models over real-world datasets, users need to spend a substantial amount of time and resources imputing and finding proper values for missing data items. In…

Machine Learning · Statistics 2024-03-05 Cheng Zhen , Nischal Aryal , Arash Termehchy , Alireza Aghasi , Amandeep Singh Chabada

This paper makes the case for using Shapley value to quantify the importance of random input variables to a function. Alternatives based on the ANOVA decomposition can run into conceptual and computational problems when the input variables…

Statistics Theory · Mathematics 2017-03-22 Art B. Owen , Clémentine Prieur

Cohort Shapley value is a model-free method of variable importance grounded in game theory that does not use any unobserved and potentially impossible feature combinations. We use it to evaluate algorithmic fairness, using the well known…

Machine Learning · Computer Science 2021-05-20 Masayoshi Mase , Art B. Owen , Benjamin B. Seiler

Shapley Values are concepts established for eXplainable AI. They are used to explain black-box predictive models by quantifying the features' contributions to the model's outcomes. Since computing the exact Shapley Values is known to be…

Machine Learning · Computer Science 2024-07-24 Davide Napolitano , Luca Cagliero

Over the recent years, Shapley value (SV), a solution concept from cooperative game theory, has found numerous applications in data analytics (DA). This paper presents the first comprehensive study of SV used throughout the DA workflow,…

Databases · Computer Science 2025-07-09 Hong Lin , Shixin Wan , Zhongle Xie , Ke Chen , Meihui Zhang , Lidan Shou , Gang Chen
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