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The basic idea of voting protocols is that nodes query a sample of other nodes and adjust their own opinion throughout several rounds based on the proportion of the sampled opinions. In the classic model, it is assumed that all nodes have…

概率论 · 数学 2021-01-28 Abraham Gutierrez , Sebastian Müller , Stjepan Šebek

We introduce a natural variant of weighted voting games, which we refer to as k-Prize Weighted Voting Games. Such games consist of n players with weights, and k prizes, of possibly differing values. The players form coalitions, and the i-th…

计算机科学与博弈论 · 计算机科学 2023-03-03 Wei-Chen Lee , David Hyland , Alessandro Abate , Edith Elkind , Jiarui Gan , Julian Gutierrez , Paul Harrenstein , Michael Wooldridge

Despite the popularity of Shapley Values in explaining neural text classification models, computing them is prohibitive for large pretrained models due to a large number of model evaluations. In practice, Shapley Values are often estimated…

计算与语言 · 计算机科学 2023-06-01 Chenghao Yang , Fan Yin , He He , Kai-Wei Chang , Xiaofei Ma , Bing Xiang

A number of techniques have been proposed to explain a machine learning model's prediction by attributing it to the corresponding input features. Popular among these are techniques that apply the Shapley value method from cooperative game…

机器学习 · 计算机科学 2020-06-29 Luke Merrick , Ankur Taly

The Shapley value has become a popular method to attribute the prediction of a machine-learning model on an input to its base features. The use of the Shapley value is justified by citing [16] showing that it is the \emph{unique} method…

人工智能 · 计算机科学 2020-02-10 Mukund Sundararajan , Amir Najmi

We study the cost sharing problem for cooperative games in situations where the cost function $C$ is not available via oracle queries, but must instead be derived from data, represented as tuples $(S, C(S))$, for different subsets $S$ of…

计算机科学与博弈论 · 计算机科学 2017-03-10 Eric Balkanski , Umar Syed , Sergei Vassilvitskii

Feature attribution for kernel methods is often heuristic and not individualised for each prediction. To address this, we turn to the concept of Shapley values~(SV), a coalition game theoretical framework that has previously been applied to…

机器学习 · 统计学 2022-05-27 Siu Lun Chau , Robert Hu , Javier Gonzalez , Dino Sejdinovic

Feature selection is one of the most relevant processes in any methodology for creating a statistical learning model. Usually, existing algorithms establish some criterion to select the most influential variables, discarding those that do…

机器学习 · 统计学 2024-05-10 Carlos Sebastián , Carlos E. González-Guillén

The most popular methods for measuring importance of the variables in a black box prediction algorithm make use of synthetic inputs that combine predictor variables from multiple subjects. These inputs can be unlikely, physically…

机器学习 · 计算机科学 2023-04-14 Masayoshi Mase , Art B. Owen , Benjamin B. Seiler

Artificial Neural Networks have shown impressive success in very different application cases. Choosing a proper network architecture is a critical decision for a network's success, usually done in a manual manner. As a straightforward…

人工智能 · 计算机科学 2019-04-18 Julian Stier , Gabriele Gianini , Michael Granitzer , Konstantin Ziegler

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…

计算金融 · 定量金融 2021-02-12 Nicholas Moehle , Stephen Boyd , Andrew Ang

Shapley values have seen widespread use in machine learning as a way to explain model predictions and estimate the importance of covariates. Accurately explaining models is critical in real-world models to both aid in decision making and to…

机器学习 · 统计学 2024-08-19 Daniel de Marchi , Michael Kosorok , Scott de Marchi

In Briata, Dall'Aglio and Fragnelli (2012), the authors introduce a cooperative game with transferable utility for allocating the gain of a collusion among completely risk-averse agents involved in the fair division procedure introduced by…

最优化与控制 · 数学 2021-08-31 Federica Briata , Andrea Dall'Aglio , Marco Dall'Aglio , Vito Fragnelli

Shapley values have several desirable, theoretically well-supported, properties for explaining black-box model predictions. Traditionally, Shapley values are computed post-hoc, leading to additional computational cost at inference time. To…

机器学习 · 计算机科学 2025-07-16 Amr Alkhatib , Roman Bresson , Henrik Boström , Michalis Vazirgiannis

We study the links between the values of stochastic games with varying stage duration $h$, the corresponding Shapley operators $\bf{T}$ and ${\bf{T}}\_h$and the solution of $\dot f\_t = ({\bf{T}} - Id )f\_t$. Considering general non…

最优化与控制 · 数学 2016-01-11 Sylvain Sorin , Guillaume Vigeral

Shapley values are model-agnostic methods for explaining model predictions. Many commonly used methods of computing Shapley values, known as off-manifold methods, rely on model evaluations on out-of-distribution input samples. Consequently,…

机器学习 · 统计学 2023-02-28 Muhammad Faaiz Taufiq , Patrick Blöbaum , Lenon Minorics

Algorithmic decisions in critical domains such as hiring, college admissions, and lending are often based on rankings. Given the impact of these decisions on individuals, organizations, and population groups, it is essential to understand…

人工智能 · 计算机科学 2025-07-29 Venetia Pliatsika , Joao Fonseca , Kateryna Akhynko , Ivan Shevchenko , Julia Stoyanovich

While Shapley Values (SV) are one of the gold standard for interpreting machine learning models, we show that they are still poorly understood, in particular in the presence of categorical variables or of variables of low importance. For…

机器学习 · 统计学 2022-04-07 Salim I. Amoukou , Nicolas J-B. Brunel , Tangi Salaün

Shapley values have emerged as a widely accepted and trustworthy tool, grounded in theoretical axioms, for addressing challenges posed by black-box models like deep neural networks. However, computing Shapley values encounters exponential…

机器学习 · 计算机科学 2024-05-24 Borui Zhang , Baotong Tian , Wenzhao Zheng , Jie Zhou , Jiwen Lu

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…

计算机科学与博弈论 · 计算机科学 2023-01-03 Sho Cremers , Valentin Robu , Peter Zhang , Merlinda Andoni , Sonam Norbu , David Flynn