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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…

Machine Learning · Computer Science 2021-12-21 Christopher Frye , Damien de Mijolla , Tom Begley , Laurence Cowton , Megan Stanley , Ilya Feige

Across machine learning (ML) sub-disciplines, researchers make explicit mathematical assumptions in order to facilitate proof-writing. We note that, specifically in the area of fairness-accuracy trade-off optimization scholarship, similar…

Computers and Society · Computer Science 2021-09-09 A. Feder Cooper , Ellen Abrams

Fairness in machine learning (ML) has garnered significant attention. However, current research has mainly concentrated on the distributive fairness of ML models, with limited focus on another dimension of fairness, i.e., procedural…

Machine Learning · Computer Science 2026-02-27 Ziming Wang , Changwu Huang , Ke Tang , Xin Yao

There are growing concerns that algorithms, which increasingly make or influence important decisions pertaining to individuals, might produce outcomes that discriminate against protected groups. We study such fairness concerns in the…

Computers and Society · Computer Science 2021-11-23 Gili Karni , Guy N. Rothblum , Gal Yona

We propose the study of computing the Shapley value for a new class of cooperative games that we call budgeted games, and investigate in particular knapsack budgeted games, a version modeled after the classical knapsack problem. In these…

Computer Science and Game Theory · Computer Science 2014-09-19 Smriti Bhagat , Anthony Kim , S. Muthukrishnan , Udi Weinsberg

A supervised machine learning algorithm determines a model from a learning sample that will be used to predict new observations. To this end, it aggregates individual characteristics of the observations of the learning sample. But this…

Econometrics · Economics 2022-02-21 Samuele Centorrino , Jean-Pierre Florens , Jean-Michel Loubes

This paper focuses on solving a stochastic variational inequality (SVI) problem under relaxed smoothness assumption for a class of structured non-monotone operators. The SVI problem has attracted significant interest in the machine learning…

Optimization and Control · Mathematics 2025-10-02 Daniil Vankov , Angelia Nedich , Lalitha Sankar

With the emergence of energy communities, where a number of prosumers invest in shared generation and storage, the issue of fair allocation of benefits is increasingly important. The Shapley value has attracted increasing interest for…

Computer Science and Game Theory · Computer Science 2023-01-03 Sho Cremers , Valentin Robu , Peter Zhang , Merlinda Andoni , Sonam Norbu , David Flynn

Greedy algorithms are widely used for problems in machine learning such as feature selection and set function optimization. Unfortunately, for large datasets, the running time of even greedy algorithms can be quite high. This is because for…

Machine Learning · Statistics 2017-03-09 Rajiv Khanna , Ethan Elenberg , Alexandros G. Dimakis , Sahand Negahban , Joydeep Ghosh

In recent years, the Shapley value and SHAP explanations have emerged as one of the most dominant paradigms for providing post-hoc explanations of black-box models. Despite their well-founded theoretical properties, many recent works have…

Machine Learning · Computer Science 2025-02-21 James Enouen , Yan Liu

Training Large Language Models (LLMs) for reasoning tasks is increasingly driven by Reinforcement Learning with Verifiable Rewards (RLVR), where Proximal Policy Optimization (PPO) provides a principled framework for stable policy updates.…

Machine Learning · Computer Science 2026-01-13 Xue Gong , Qi Yi , Ziyuan Nan , Guanhua Huang , Kejiao Li , Yuhao Jiang , Ruibin Xiong , Zenan Xu , Jiaming Guo , Shaohui Peng , Bo Zhou

Applications that deal with sensitive information may have restrictions placed on the data available to a machine learning (ML) classifier. For example, in some applications, a classifier may not have direct access to sensitive attributes,…

Machine Learning · Computer Science 2024-03-13 Zachary McBride Lazri , Danial Dervovic , Antigoni Polychroniadou , Ivan Brugere , Dana Dachman-Soled , Min Wu

The Shapley value is widely used for data valuation in data markets. However, explaining the Shapley value of an owner in a data coalition is an unexplored and challenging task. To tackle this, we formulate the problem of finding the…

Computer Science and Game Theory · Computer Science 2025-07-03 Michelle Si , Jian Pei

Class Activation Mapping (CAM) methods are widely used to visualize neural network decisions, yet their underlying mechanisms remain incompletely understood. To enhance the understanding of CAM methods and improve their explainability, we…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Huaiguang Cai

Data Shapley has recently been proposed as a principled framework to quantify the contribution of individual datum in machine learning. It can effectively identify helpful or harmful data points for a learning algorithm. In this paper, we…

Machine Learning · Computer Science 2022-01-20 Yongchan Kwon , James Zou

We consider an investment process that includes a number of features, each of which can be active or inactive. Our goal is to attribute or decompose an achieved performance to each of these features, plus a baseline value. There are many…

Computational Finance · Quantitative Finance 2021-02-12 Nicholas Moehle , Stephen Boyd , Andrew Ang

The Shapley value, and its broader family of semi-values, has received much attention in various attribution problems. A fundamental and long-standing challenge is their efficient approximation, since exact computation generally requires an…

Machine Learning · Computer Science 2026-04-10 Weida Li , Yaoliang Yu , Bryan Kian Hsiang Low

Myerson first introduced graph-restricted games in order to model the interaction of cooperative players with an underlying communication network. A dedicated solution concept -- the Myerson value -- is perhaps the most important normative…

Social and Information Networks · Computer Science 2020-01-03 Mateusz K. Tarkowski , Szymon Matejczyk , Tomasz P. Michalak , Michael Wooldridge

Global sensitivity analysis aims at measuring the relative importance of different variables or groups of variables for the variability of a quantity of interest. Among several sensitivity indices, so-called Shapley effects have recently…

Computation · Statistics 2021-04-27 Takashi Goda

We revisit the foundations of fairness and its interplay with utility and efficiency in settings where the training data contain richer labels, such as individual types, rankings, or risk estimates, rather than just binary outcomes. In this…

Machine Learning · Computer Science 2025-05-23 Noga Amit , Omer Reingold , Guy N. Rothblum