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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 multi-criteria decision analysis workshops, participants often appraise the options individually before discussing the scoring as a group. The individual appraisals lead to score ranges within which the group then seeks the necessary…

综合经济学 · 经济学 2020-12-29 Tom Pape

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

This work considers two-player zero-sum semi-Markov games with incomplete information on one side and perfect observation. At the beginning, the system selects a game type according to a given probability distribution and informs to Player…

最优化与控制 · 数学 2021-07-16 Fang Chen , Xianping Guo , Zhong-Wei Liao

Data valuation has become an increasingly significant discipline in data science due to the economic value of data. In the context of machine learning (ML), data valuation methods aim to equitably measure the contribution of each data point…

机器学习 · 计算机科学 2023-06-13 Xiang Li , Haocheng Xia , Jinfei Liu

Variable selection or importance measurement of input variables to a machine learning model has become the focus of much research. It is no longer enough to have a good model, one also must explain its decisions. This is why there are so…

机器学习 · 计算机科学 2023-08-01 Vincent Lemaire , Fabrice Clérot , Marc Boullé

Boolean functions and their representation through logics, circuits, machine learning classifiers, or binary decision diagrams (BDDs) play a central role in the design and analysis of computing systems. Quantifying the relative impact of…

计算机科学与博弈论 · 计算机科学 2023-05-16 Hans Harder , Simon Jantsch , Christel Baier , Clemens Dubslaff

The Shapley value provides a principled framework for fairly distributing rewards among participants according to their individual contributions. While prior work has applied this concept to data valuation in machine learning, existing…

计算机科学与博弈论 · 计算机科学 2026-01-22 Zhuofan Jia , Jian Pei

The conditional mutual information I(X;Y|Z) measures the average information that X and Y contain about each other given Z. This is an important primitive in many learning problems including conditional independence testing, graphical model…

信息论 · 计算机科学 2017-10-16 Arman Rahimzamani , Sreeram Kannan

Two-player zero-sum repeated games are well understood. Computing the value of such a game is straightforward. Additionally, if the payoffs are dependent on a random state of the game known to one, both, or neither of the players, the…

信息论 · 计算机科学 2009-11-05 Paul Cuff

We prove that for a class of zero-sum differential games with incomplete information on both sides, the value admits a probabilistic representation as the value of a zero-sum stochastic differential game with complete information, where…

最优化与控制 · 数学 2017-01-04 Fabien Gensbittel , Catherine Rainer

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…

机器学习 · 统计学 2025-08-19 Michael Mayer , Mario V. Wüthrich

We present information value, a measure which quantifies the predictability of an utterance relative to a set of plausible alternatives. We introduce a method to obtain interpretable estimates of information value using neural text…

计算与语言 · 计算机科学 2023-10-23 Mario Giulianelli , Sarenne Wallbridge , Raquel Fernández

For reinforcement learning systems to be widely adopted, their users must understand and trust them. We present a theoretical analysis of explaining reinforcement learning using Shapley values, following a principled approach from game…

机器学习 · 计算机科学 2023-06-12 Daniel Beechey , Thomas M. S. Smith , Özgür Şimşek

This short note is devoted to the unraveling of the hidden interactivity of ordinary games which is an artefact of predictions of the behaviour of other players by the fixed player and describes deviations of their real behaviour from such…

最优化与控制 · 数学 2007-05-23 Denis V. Juriev

Imperfect-recall games, in which players may forget previously acquired information, have found many practical applications, ranging from game abstractions to team games and testing AI agents. In this paper, we quantify the utility gain by…

计算机科学与博弈论 · 计算机科学 2024-12-30 Ratip Emin Berker , Emanuel Tewolde , Ioannis Anagnostides , Tuomas Sandholm , Vincent Conitzer

This paper deals with a new measure of the influence of each feature on the response variable in classification problems, accounting for potential dependencies among certain feature subsets. Within this framework, we consider a sample of…

最优化与控制 · 数学 2024-08-06 Laura Davila-Pena , Alejandro Saavedra-Nieves , Balbina Casas-Méndez

The Shapley value, which is arguably the most popular approach for assigning a meaningful contribution value to players in a cooperative game, has recently been used intensively in explainable artificial intelligence. Its meaningfulness is…

机器学习 · 计算机科学 2024-01-31 Patrick Kolpaczki , Viktor Bengs , Maximilian Muschalik , Eyke Hüllermeier

We introduce Value Coalition Logic, a typed assignment-based reconstruction of classical coalition logic. The strategic semantics is unchanged: coalitional ability is still interpreted by the standard one-step game-form clause. The change…

计算机科学中的逻辑 · 计算机科学 2026-05-26 Shanxia Wang

Attribution scores reflect how important the feature values in an input entity are for the output of a machine learning model. One of the most popular attribution scores is the SHAP score, which is an instantiation of the general Shapley…