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Min-max saddle point games have recently been intensely studied, due to their wide range of applications, including training Generative Adversarial Networks (GANs). However, most of the recent efforts for solving them are limited to special…

Optimization and Control · Mathematics 2021-08-10 Babak Barazandeh , Tianjian Huang , George Michailidis

Moving target defense (MTD) is a proactive defense approach that aims to thwart attacks by continuously changing the attack surface of a system (e.g., changing host or network configurations), thereby increasing the adversary's uncertainty…

Cryptography and Security · Computer Science 2020-08-21 Taha Eghtesad , Yevgeniy Vorobeychik , Aron Laszka

The fragility of deep neural networks to adversarially-chosen inputs has motivated the need to revisit deep learning algorithms. Including adversarial examples during training is a popular defense mechanism against adversarial attacks. This…

Optimization and Control · Mathematics 2020-05-05 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

This paper investigates value function approximation in the context of zero-sum Markov games, which can be viewed as a generalization of the Markov decision process (MDP) framework to the two-agent case. We generalize error bounds from MDPs…

Artificial Intelligence · Computer Science 2013-01-07 Michail Lagoudakis , Ron Parr

Path planning plays an essential role in many areas of robotics. Various planning techniques have been presented, either focusing on learning a specific task from demonstrations or retrieving trajectories by optimizing for hand-crafted cost…

Robotics · Computer Science 2018-09-26 Salvatore Virga , Christian Rupprecht , Nassir Navab , Christoph Hennersperger

Constrained reinforcement learning has achieved promising progress in safety-critical fields where both rewards and constraints are considered. However, constrained reinforcement learning methods face challenges in striking the right…

Machine Learning · Computer Science 2024-10-29 Jianmina Ma , Jingtian Ji , Yue Gao

Extensive simulation-based testing is important for assuring the safety of autonomous driving systems (ADS). However, generating safety-critical traffic scenarios remains challenging because failures often arise from rare, complex…

Software Engineering · Computer Science 2026-03-24 Dmytro Humeniuk , Mohammad Hamdaqa , Houssem Ben Braiek , Amel Bennaceur , Foutse Khomh

Autonomous vehicles interacting with other traffic participants heavily rely on the perception and prediction of other agents' behaviors to plan safe trajectories. However, as occlusions limit the vehicle's perception ability, reasoning…

Robotics · Computer Science 2021-08-04 Zixu Zhang , Jaime F. Fisac

We develop a game-theoretic framework for adversarially robust optimal safe predefined-time stabilization of parameter-dependent nonlinear dynamical systems with nonquadratic cost functionals. Our approach ensures that all system…

Optimization and Control · Mathematics 2025-11-20 Nick-Marios T. Kokolakis , Shanqing Liu , Jerome Darbon , Rahul Mangharam , George Em Karniadakis

Reinforcement learning from self-play has recently reported many successes. Self-play, where the agents compete with themselves, is often used to generate training data for iterative policy improvement. In previous work, heuristic rules are…

Machine Learning · Computer Science 2020-09-15 Yuanyi Zhong , Yuan Zhou , Jian Peng

A defender-attacker-target problem with non-moving target is considered. This problem is modeled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional. In this game the pursuer is the defender,…

Optimization and Control · Mathematics 2018-03-06 Vladimir Turetsky , Valery Y. Glizer

Adversarial training is a standard technique for training adversarially robust models. In this paper, we study adversarial training as an alternating best-response strategy in a 2-player zero-sum game. We prove that even in a simple…

Machine Learning · Computer Science 2023-03-01 Maria-Florina Balcan , Rattana Pukdee , Pradeep Ravikumar , Hongyang Zhang

This paper presents a controlled study of adversarial reinforcement learning in network security through a custom OpenAI Gym environment that models brute-force attacks and reactive defenses on multi-port services. The environment captures…

Machine Learning · Computer Science 2025-10-08 Abrar Shahid , Ibteeker Mahir Ishum , AKM Tahmidul Haque , M Sohel Rahman , A. B. M. Alim Al Islam

Model-based algorithms -- algorithms that explore the environment through building and utilizing an estimated model -- are widely used in reinforcement learning practice and theoretically shown to achieve optimal sample efficiency for…

Machine Learning · Computer Science 2021-02-09 Qinghua Liu , Tiancheng Yu , Yu Bai , Chi Jin

Large language models (LLMs) are vulnerable to adversarial attacks that can bypass their safety guardrails. In many domains, adversarial training has proven to be one of the most promising methods to reliably improve robustness against such…

Machine Learning · Computer Science 2024-11-04 Sophie Xhonneux , Alessandro Sordoni , Stephan Günnemann , Gauthier Gidel , Leo Schwinn

Autonomous vehicles with a self-evolving ability are expected to cope with unknown scenarios in the real-world environment. Take advantage of trial and error mechanism, reinforcement learning is able to self evolve by learning the optimal…

Robotics · Computer Science 2024-08-23 Shuo Yang , Liwen Wang , Yanjun Huang , Hong Chen

Autonomous vehicles (AVs) face significant threats to their safe operation in complex traffic environments. Adversarial training has emerged as an effective method of enabling AVs to preemptively fortify their robustness against malicious…

Machine Learning · Computer Science 2024-09-23 Xuan Cai , Zhiyong Cui , Xuesong Bai , Ruimin Ke , Zhenshu Ma , Haiyang Yu , Yilong Ren

We examine online safe multi-agent reinforcement learning using constrained Markov games in which agents compete by maximizing their expected total rewards under a constraint on expected total utilities. Our focus is confined to an episodic…

Machine Learning · Computer Science 2023-06-02 Dongsheng Ding , Xiaohan Wei , Zhuoran Yang , Zhaoran Wang , Mihailo R. Jovanović

A Markov Decision Process (MDP) is a popular model for reinforcement learning. However, its commonly used assumption of stationary dynamics and rewards is too stringent and fails to hold in adversarial, nonstationary, or multi-agent…

Machine Learning · Computer Science 2019-08-22 Tiancheng Yu , Suvrit Sra

Coordination among connected and autonomous vehicles (CAVs) is advancing due to developments in control and communication technologies. However, much of the current work is based on oversimplified and unrealistic task-specific assumptions,…

Multiagent Systems · Computer Science 2024-10-25 Rui Du , Kai Zhao , Jinlong Hou , Qiang Zhang , Peter Zhang