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In this paper, a general model for cyber-physical systems (CPSs), that captures the diffusion of attacks from the cyber layer to the physical system, is studied. In particular, a game-theoretic approach is proposed to analyze the…

Computer Science and Game Theory · Computer Science 2016-10-10 Anibal Sanjab , Walid Saad

Active Directory (AD) is the default security management system for Windows domain networks. An AD environment naturally describes an attack graph where nodes represent computers/accounts/security groups, and edges represent existing…

Cryptography and Security · Computer Science 2022-12-09 Mingyu Guo , Max Ward , Aneta Neumann , Frank Neumann , Hung Nguyen

We introduce a novel framework for computing optimal randomized security policies in networked domains which extends previous approaches in several ways. First, we extend previous linear programming techniques for Stackelberg security games…

Computer Science and Game Theory · Computer Science 2012-10-19 Joshua Letchford , Yevgeniy Vorobeychik

Over recent years, devising classification algorithms that are robust to adversarial perturbations has emerged as a challenging problem. In particular, deep neural nets (DNNs) seem to be susceptible to small imperceptible changes over test…

Machine Learning · Computer Science 2019-12-20 Sanjam Garg , Somesh Jha , Saeed Mahloujifar , Mohammad Mahmoody

Graph neural networks, a popular class of models effective in a wide range of graph-based learning tasks, have been shown to be vulnerable to adversarial attacks. While the majority of the literature focuses on such vulnerability in…

Machine Learning · Statistics 2021-11-05 Xingchen Wan , Henry Kenlay , Binxin Ru , Arno Blaas , Michael A. Osborne , Xiaowen Dong

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

Solving feedback Stackelberg games with nonlinear dynamics and coupled constraints, a common scenario in practice, presents significant challenges. This work introduces an efficient method for computing approximate local feedback…

Optimization and Control · Mathematics 2025-04-03 Jingqi Li , Somayeh Sojoudi , Claire Tomlin , David Fridovich-Keil

We extend the formalism of Conjectural Variations games to Stackelberg games involving multiple leaders and a single follower. To solve these nonconvex games, a common assumption is that the leaders compute their strategies having perfect…

Computer Science and Game Theory · Computer Science 2025-07-24 Francesco Morri , Hélène Le Cadre , Luce Brotcorne

This paper investigates the convergence of learning dynamics in Stackelberg games. In the class of games we consider, there is a hierarchical game being played between a leader and a follower with continuous action spaces. We establish a…

Computer Science and Game Theory · Computer Science 2024-12-07 Tanner Fiez , Benjamin Chasnov , Lillian J. Ratliff

We consider the following two-player game: using observational data, the leader chooses a prediction function for a response variable $Y$ from given covariates. The follower then reacts with an intervention on some covariates in the…

Machine Learning · Statistics 2026-05-19 Linus Kühne , Felix Schur , Jonas Peters

Tri-level defender-attacker game models are a well-studied method for determining how best to protect a system (e.g., a transportation network) from attacks. Existing models assume that defender and attacker actions have a perfect effect,…

Optimization and Control · Mathematics 2024-09-16 Samuel Affar , Hugh Medal

In this paper, we investigate distributionally robust model order reduction for linear, discrete-time, time-invariant systems. The external input is assumed to follow an uncertain distribution within a Wasserstein ambiguity set. We begin by…

Optimization and Control · Mathematics 2025-11-17 Le Liu , Yu Kawano , Yangming Dou , Ming Cao

Graph neural networks (GNNs) have attracted increasing interests. With broad deployments of GNNs in real-world applications, there is an urgent need for understanding the robustness of GNNs under adversarial attacks, especially in realistic…

Machine Learning · Computer Science 2021-06-22 Jiaqi Ma , Junwei Deng , Qiaozhu Mei

Batch reinforcement learning (RL) defines the task of learning from a fixed batch of data lacking exhaustive exploration. Worst-case optimality algorithms, which calibrate a value-function model class from logged experience and perform some…

Machine Learning · Statistics 2023-10-03 Wenzhuo Zhou , Annie Qu

The vulnerability of deep neural network models to adversarial example attacks is a practical challenge in many artificial intelligence applications. A recent line of work shows that the use of randomization in adversarial training is the…

Machine Learning · Computer Science 2023-06-30 Jiahao Xie , Chao Zhang , Weijie Liu , Wensong Bai , Hui Qian

Securing dynamic networks against adversarial actions is challenging because of the need to anticipate and counter strategic disruptions by adversarial entities within complex network structures. Traditional game-theoretic models, while…

Computational Complexity · Computer Science 2023-12-21 Dhananjay Raju , Georgios Bakirtzis , Ufuk Topcu

Despite incredible advances, deep learning has been shown to be susceptible to adversarial attacks. Numerous approaches have been proposed to train robust networks both empirically and certifiably. However, most of them defend against only…

Artificial Intelligence · Computer Science 2023-06-28 Yimu Wang , Dinghuai Zhang , Yihan Wu , Heng Huang , Hongyang Zhang

We present a resource-planning game for cyber-security of networked control systems (NCS). The NCS is assumed to be operating in closed-loop using a linear state-feedback $\mathcal{H}_2$ controller. A zero-sum, two-player Stackelberg game…

Optimization and Control · Mathematics 2022-08-26 Pratishtha Shukla , Lu An , Aranya Chakrabortty , Alexandra Duel-Hallen

Hierarchical decision making problems, such as bilevel programs and Stackelberg games, are attracting increasing interest in both the engineering and machine learning communities. Yet, existing solution methods lack either convergence…

Optimization and Control · Mathematics 2024-03-29 Panagiotis D. Grontas , Giuseppe Belgioioso , Carlo Cenedese , Marta Fochesato , John Lygeros , Florian Dörfler

Data injection attacks have recently emerged as a significant threat on the smart power grid. By launching data injection attacks, an adversary can manipulate the real-time locational marginal prices to obtain economic benefits. Despite the…

Cryptography and Security · Computer Science 2016-04-04 Anibal Sanjab , Walid Saad
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