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Information spreading in complex networks is often modeled as diffusing information with certain probability from nodes that possess it to their neighbors that do not. Information cascades are triggered when the activation of a set of…

Social and Information Networks · Computer Science 2018-07-02 Jarosław Jankowski , Piotr Bródka , Przemysław Kazienko , Boleslaw Szymanski , Radosław Michalski , Tomasz Kajdanowicz

In allocation problems, a given set of goods are assigned to agents in such a way that the social welfare is maximised, that is, the largest possible global worth is achieved. When goods are indivisible, it is possible to use money…

Computer Science and Game Theory · Computer Science 2017-09-14 Francesco Lupia , Angelo Mendicelli , Andrea Ribichini , Francesco Scarcello , Marco Schaerf

Propagation of contagion through networks is a fundamental process. It is used to model the spread of information, influence, or a viral infection. Diffusion patterns can be specified by a probabilistic model, such as Independent Cascade…

Data Structures and Algorithms · Computer Science 2014-08-28 Edith Cohen , Daniel Delling , Thomas Pajor , Renato F. Werneck

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

The problem of selecting an optimal seed set to maximise influence in networks has been a subject of intense research in recent years. However, despite numerous works addressing this area, it remains a topic that requires further…

Social and Information Networks · Computer Science 2025-04-16 Michał Czuba , Piotr Bródka

Influence maximization is the problem of finding the set of nodes of a network that maximizes the size of the outbreak of a spreading process occurring on the network. Solutions to this problem are important for strategic decisions in…

Physics and Society · Physics 2019-10-23 Sirag Erkol , Claudio Castellano , Filippo Radicchi

Influence Maximization (IM) seeks to identify a small set of seed nodes in a social network to maximize expected information spread under a diffusion model. While community-based approaches improve scalability by exploiting modular…

Social and Information Networks · Computer Science 2026-02-03 Eliot W. Robson , Abhishek K. Umrawal

We consider the problem of payoff division in indivisible coalitional games, where the value of the grand coalition is a natural number. This number represents a certain quantity of indivisible objects, such as parliamentary seats, kidney…

Computer Science and Game Theory · Computer Science 2026-04-02 Mikołaj Czarnecki , Michał Korniak , Oskar Skibski , Piotr Skowron

Influence maximization in social networks plays a vital role in applications such as viral marketing, epidemiology, product recommendation, opinion mining, and counter-terrorism. A common approach identifies seed nodes by first detecting…

Social and Information Networks · Computer Science 2025-12-04 Motaz Ben Hassine

Shapley value-based data valuation methods, originating from cooperative game theory, quantify the usefulness of each individual sample by considering its contribution to all possible training subsets. Despite their extensive applications,…

Machine Learning · Computer Science 2024-05-29 Ziao Yang , Han Yue , Jian Chen , Hongfu Liu

What is the value of an individual model in an ensemble of binary classifiers? We answer this question by introducing a class of transferable utility cooperative games called \textit{ensemble games}. In machine learning ensembles,…

Machine Learning · Computer Science 2021-06-14 Benedek Rozemberczki , Rik Sarkar

A variety of recent papers discuss the application of Shapley values, a concept for explaining coalitional games, for feature attribution in machine learning. However, the correct way to connect a machine learning model to a coalitional…

Machine Learning · Computer Science 2020-06-30 Hugh Chen , Joseph D. Janizek , Scott Lundberg , Su-In Lee

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

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

In this paper, we address the important issue of uncertainty in the edge influence probability estimates for the well studied influence maximization problem --- the task of finding $k$ seed nodes in a social network to maximize the…

Social and Information Networks · Computer Science 2016-06-14 Wei Chen , Tian Lin , Zihan Tan , Mingfei Zhao , Xuren Zhou

Inspired by socio-political scenarios, like dictatorships, in which a minority of people exercise control over a majority of weakly interconnected individuals, we propose vulnerability and power measures defined on groups of actors of…

Social and Information Networks · Computer Science 2014-12-22 Enrico Bozzo , Massimo Franceschet , Franca Rinaldi

Measuring and optimizing the influence of nodes in big-data online social networks are important for many practical applications, such as the viral marketing and the adoption of new products. As the viral spreading on social network is a…

Physics and Society · Physics 2018-07-31 Yanqing Hu , Shenggong Ji , Yuliang Jin , Ling Feng , H. Eugene Stanley , Shlomo Havlin

The influence maximization is the problem of finding a set of social network users, called influencers, that can trigger a large cascade of propagation. Influencers are very beneficial to make a marketing campaign goes viral through social…

Social and Information Networks · Computer Science 2017-08-29 Siwar Jendoubi , Arnaud Martin

The Shapley value is widely regarded as a trustworthy attribution metric. However, when people use Shapley values to explain the attribution of input variables of a deep neural network (DNN), it usually requires a very high computational…

Machine Learning · Computer Science 2023-12-04 Lu Chen , Siyu Lou , Keyan Zhang , Jin Huang , Quanshi Zhang

Influence analysis is a fundamental problem in social network analysis and mining. The important applications of the influence analysis in social network include influence maximization for viral marketing, finding the most influential…

Social and Information Networks · Computer Science 2012-07-05 Rong-Hua Li , Jeffrey Xu Yu , Zechao Shang