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Graph planning gives rise to fundamental algorithmic questions such as shortest path, traveling salesman problem, etc. A classical problem in discrete planning is to consider a weighted graph and construct a path that maximizes the sum of…

Artificial Intelligence · Computer Science 2018-02-13 Krishnendu Chatterjee , Laurent Doyen

Research in adversarial learning follows a cat and mouse game between attackers and defenders where attacks are proposed, they are mitigated by new defenses, and subsequently new attacks are proposed that break earlier defenses, and so on.…

Machine Learning · Computer Science 2020-11-13 Ambar Pal , René Vidal

The recent advancement in real-world critical infrastructure networks has led to an exponential growth in the use of automated devices which in turn has created new security challenges. In this paper, we study the robust and adaptive…

Computer Science and Game Theory · Computer Science 2020-11-10 Supriyo Ghosh , Patrick Jaillet

A significant amount of society's infrastructure can be modeled using graph structures, from electric and communication grids, to traffic networks, to social networks. Each of these domains are also susceptible to the cascading spread of…

Social and Information Networks · Computer Science 2024-04-24 James D. Cunningham , Conrad S. Tucker

Recent works have shown that the input domain of any machine learning classifier is bound to contain adversarial examples. Thus we can no longer hope to immune classifiers against adversarial examples and instead can only aim to achieve the…

Machine Learning · Computer Science 2020-09-25 Gil Fidel , Ron Bitton , Ziv Katzir , Asaf Shabtai

Stealthy attacks are a major cyber-security threat. In practice, both attackers and defenders have resource constraints that could limit their capabilities. Hence, to develop robust defense strategies, a promising approach is to utilize…

Computer Science and Game Theory · Computer Science 2019-10-22 Ming Zhang , Zizhan Zheng , Ness B. Shroff

The Stackelberg Minimum Spanning Tree Game is a two-level combinatorial pricing problem played on a graph representing a network. Its edges are colored either red or blue, and the red edges have a given fixed cost, representing the…

Computer Science and Game Theory · Computer Science 2013-05-24 Jean Cardinal , Erik D. Demaine , Samuel Fiorini , Gwenaël Joret , Ilan Newman , Oren Weimann

In this paper, we consider an unconstrained distributed optimization problem over a network of agents, in which some agents are adversarial. We solve the problem via gradient-based distributed optimization algorithm and characterize the…

Optimization and Control · Mathematics 2021-03-22 Iyanuoluwa Emiola , Laurent Njilla , Chinwendu Enyioha

Adversarial neural networks solve many important problems in data science, but are notoriously difficult to train. These difficulties come from the fact that optimal weights for adversarial nets correspond to saddle points, and not…

Machine Learning · Computer Science 2018-02-12 Abhay Yadav , Sohil Shah , Zheng Xu , David Jacobs , Tom Goldstein

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

Machine Learning · Computer Science 2024-10-28 Shudian Zhao , Jan Kronqvist

Inspired by real world examples, e.g. the Internet, researchers have introduced an abundance of strategic games to study natural phenomena in networks. Unfortunately, almost all of these games have the conceptual drawback of being…

Computer Science and Game Theory · Computer Science 2017-05-23 Tobias Friedrich , Sven Ihde , Christoph Keßler , Pascal Lenzner , Stefan Neubert , David Schumann

A fortification game (FG) is a three-level, two-player Stackelberg game, also known as defender-attacker-defender game, in which at the uppermost level, the defender selects some assets to be protected from potential malicious attacks. At…

Optimization and Control · Mathematics 2023-03-24 Markus Leitner , Ivana Ljubić , Michele Monaci , Markus Sinnl , Kübra Tanınmış

We study a Stackelberg variant of the classical discrete-time Dynkin game, in which Player 1 (the leader) commits to a stopping strategy first and Player 2 (the follower) responds optimally. This leader-follower structure induces an optimal…

Optimization and Control · Mathematics 2026-05-26 Jingjie Zhang , Zhou Zhou

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

Optimization and Control · Mathematics 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

Decision making in modern large-scale and complex systems such as communication networks, smart electricity grids, and cyber-physical systems motivate novel game-theoretic approaches. This paper investigates big strategic (non-cooperative)…

Computer Science and Game Theory · Computer Science 2016-09-22 Tansu Alpcan , Benjamin I. P. Rubinstein , Christopher Leckie

Despite the improved accuracy of deep neural networks, the discovery of adversarial examples has raised serious safety concerns. In this paper, we study two variants of pointwise robustness, the maximum safe radius problem, which for a…

Machine Learning · Computer Science 2020-04-07 Min Wu , Matthew Wicker , Wenjie Ruan , Xiaowei Huang , Marta Kwiatkowska

Computational advertising has been studied to design efficient marketing strategies that maximize the number of acquired customers. In an increased competitive market, however, a market leader (a leader) requires the acquisition of new…

Computer Science and Game Theory · Computer Science 2019-06-18 Daisuke Hatano , Yuko Kuroki , Yasushi Kawase , Hanna Sumita , Naonori Kakimura , Ken-ichi Kawarabayashi

Active Directory (AD) is the default security management system for Windows domain networks. We study a Stackelberg game model between one attacker and one defender on an AD attack graph. The attacker initially has access to a set of entry…

Neural and Evolutionary Computing · Computer Science 2023-01-05 Diksha Goel , Max Ward , Aneta Neumann , Frank Neumann , Hung Nguyen , Mingyu Guo

Most models of Stackelberg security games assume that the attacker only knows the defender's mixed strategy, but is not able to observe (even partially) the instantiated pure strategy. Such partial observation of the deployed pure strategy…

Computer Science and Game Theory · Computer Science 2015-05-05 Haifeng Xu , Albert X. Jiang , Arunesh Sinha , Zinovi Rabinovich , Shaddin Dughmi , Milind Tambe

We consider a one-round two-player network pricing game, the Stackelberg Minimum Spanning Tree game or StackMST. The game is played on a graph (representing a network), whose edges are colored either red or blue, and where the red edges…

Computer Science and Game Theory · Computer Science 2011-03-07 Jean Cardinal , Erik D. Demaine , Samuel Fiorini , Gwenaël Joret , Stefan Langerman , Ilan Newman , Oren Weimann