SHAP (SHapley Additive exPlanations) values are a way to explain the output of any machine learning model. It uses a game theoretic approach that measures each player's contribution to the final outcome. In machine learning, each feature is assigned an importance value representing its contribution...
答案在12.2.1 "The Shapley value"小节。 沙普利值(Shapley value)是基于几个公平性原则来定义的: 对称性原则(Symmetry):如果两个代理(agents)在任何联盟中的贡献相同,则他们应获得相同的支付。 哑元玩家原则(Dummy player):如果一个代理单独对联盟的贡献等于其单独能达到的收益,那么它应该获得的支付也应该是这个金...
The original values from the input data are replaced by its SHAP values. However it is not the same replacement for all the columns. Maybe a value of10 purchasesis replaced by the value0.3in customer 1, but in customer 2 it is replaced by0.6. This change is due to how the variable fo...
"Introduction to the Theory of Cooperative Games" systematically studies the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core, the Shapley value, and the ordinal bargaining set of NTU games. To each solution, a...
今天为大家介绍的是来自Su-In Lee研究团队的一篇关于shapely value特征归因的论文。基于Shapley值的特征归因在解释机器学习模型方面非常流行。然而,从理论和计算的角度来看,它们的估计是复杂的。作者将这种复杂性分解为两个主要因素:去除特征信息的方法和可行的估计策略。这两个因素提供了一个自然的视角使得我们可以更好...
Finally, it utilizes Maple commands to calculate the Shapley value of a cooperative game. coalition; collective bargaining; cooperation; game theory; Shapley Valuedoi:10.1002/9781118547168.ch6E.N. BarronE. N. Barron. Game Theory: An Introduction, 2nd Edition, John Wiley & Sons (2013)....
Theclassicalgametheoryportionofthebookcontainsnumer- ouscarefullysculptedandeasy-to-followproofstoestablishthetheoret- icalcoreofthesubject(includingtheMinimaxTheorem,Nasharbitra- tion,ShapleyValue,andArrow鈥檚Paradox). Mostsignificantly,Chapter 9isentirelydevotedtoanextremelygentleproofofNash鈥檚Equilibrium Theorem...
6.4 The Shapley Value 348 Problems 359 Bibliographic Notes 364 7 Bargaining 367 7.1 Introduction 367 7.2 The Nash Model with Security Point 373 7.3 Threats 379 7.3.1 Finding the Threat Strategies 381 7.3.1.1 Summary Approach for Bargaining with Threat Strategies 383 7.3.1.2 Another Way to Derive...
6.4.3 The Kalai–Smorodinsky Bargaining Solution 377 6.4.4 Sequential Bargaining 379 Problems 384 Review Problems 386 6.5 Maple/Mathematica 386 6.5.1 Finding the Nucleolus One Step at a Time 386 6.5.2 Mathematica Code for Three-Person Nucleolus 391 6.5.3 The Shapley Value with Maple 393 6.5...
There are several techniques to reduce the number of features, popular ones being merely dropping some features according to a rule such as univariate analysis (i.e., correlation with the targety) or to an importance score (p-value, feature importance from tree-based algorithms, Shapley values...