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In this work, we propose a robust framework that employs adversarially robust training to safeguard the ML models against perturbed testing data. Our contributions can be seen from both computational and statistical perspectives. Firstly,…

Machine Learning · Computer Science 2024-11-26 Deepak Maurya , Adarsh Barik , Jean Honorio

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

In this paper, we study a class of two-player deterministic finite-horizon difference games with coupled inequality constraints, where each player has two types of decision variables: one involving sequential interactions and the other…

Optimization and Control · Mathematics 2025-10-20 Partha Sarathi Mohapatra , Puduru Viswanadha Reddy , Georges Zaccour

In this paper, we present an efficient algorithm to solve online Stackelberg games, featuring multiple followers, in a follower-agnostic manner. Unlike previous works, our approach works even when leader has no knowledge about the…

Optimization and Control · Mathematics 2024-03-28 Chinmay Maheshwari , James Cheng , S. Shankar Sasty , Lillian Ratliff , Eric Mazumdar

Robustness is widely regarded as a fundamental problem in the analysis of machine learning (ML) models. Most often robustness equates with deciding the non-existence of adversarial examples, where adversarial examples denote situations…

Machine Learning · Computer Science 2023-12-19 Yacine Izza , Joao Marques-Silva

Distributed Support Vector Machines (DSVM) have been developed to solve large-scale classification problems in networked systems with a large number of sensors and control units. However, the systems become more vulnerable as detection and…

Machine Learning · Statistics 2018-03-14 Rui Zhang , Quanyan Zhu

In this paper we consider multi-agent coalitional games with uncertain value functions for which we establish distribution-free guarantees on the probability of allocation stability, i.e., agents do not have incentives to defect from the…

Optimization and Control · Mathematics 2022-06-24 George Pantazis , Filippo Fabiani , Filiberto Fele , Kostas Margellos

The behavior of no-regret learning algorithms is well understood in two-player min-max (i.e, zero-sum) games. In this paper, we investigate the behavior of no-regret learning in min-max games with dependent strategy sets, where the strategy…

Computer Science and Game Theory · Computer Science 2022-04-15 Denizalp Goktas , Jiayi Zhao , Amy Greenwald

State-of-the-art defenses against adversarial patch attacks can now achieve strong certifiable robustness with a marginal drop in model utility. However, this impressive performance typically comes at the cost of 10-100x more inference-time…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Chong Xiang , Tong Wu , Sihui Dai , Jonathan Petit , Suman Jana , Prateek Mittal

We consider distributed on-device learning with limited communication and security requirements. We propose a new robust distributed optimization algorithm with efficient communication and attack tolerance. The proposed algorithm has…

Machine Learning · Computer Science 2019-10-03 Cong Xie , Sanmi Koyejo , Indranil Gupta

High-precision operation of quantum computing systems must be robust to uncertainties and noises in the quantum hardware. In this paper, we show that through a game played between the uncertainties (or noises) and the controls, adversarial…

Quantum Physics · Physics 2020-05-20 Xiaozhen Ge , Haijin Ding , Herschel Rabitz , Rebing Wu

Secure equilibrium is a refinement of Nash equilibrium, which provides some security to the players against deviations when a player changes his strategy to another best response strategy. The concept of secure equilibrium is specifically…

Computer Science and Game Theory · Computer Science 2014-05-08 Julie De Pril , János Flesch , Jeroen Kuipers , Gijs Schoenmakers , Koos Vrieze

The paper is devoted to inverse Stackelberg games with many players. We consider both static and differential games. The main assumption of the paper is the compactness of the strategy sets. We obtain the characterization of inverse…

Optimization and Control · Mathematics 2014-04-21 Yurii Averboukh

Stackelberg games have been widely used to model interactive decision-making problems in a variety of domains such as energy systems, transportation, cybersecurity, and human-robot interaction. However, existing algorithms for solving…

Optimization and Control · Mathematics 2023-03-14 Yansong Li , Shuo Han

We consider stochastic differential games with a large number of players, with the aim of quantifying the gap between closed-loop, open-loop and distributed equilibria. We show that, under two different semi-monotonicity conditions, the…

Probability · Mathematics 2025-05-06 Marco Cirant , Joe Jackson , Davide Francesco Redaelli

The present complexity in designing web applications makes software security a difficult goal to achieve. An attacker can explore a deployed service on the web and attack at his/her own leisure. Moving Target Defense (MTD) in web…

Cryptography and Security · Computer Science 2016-11-18 Sailik Sengupta , Satya Gautam Vadlamudi , Subbarao Kambhampati , Marthony Taguinod , Adam Doupé , Ziming Zhao , Gail-Joon Ahn

We study the problem of finding Stackelberg equilibria in games with a massive number of players. So far, the only known game instances in which the problem is solved in polynomial time are some particular congestion games. However, a…

Computer Science and Game Theory · Computer Science 2019-05-31 Alberto Marchesi , Matteo Castiglioni , Nicola Gatti

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

Linear complementarity problems are a powerful tool for modeling many practically relevant situations such as market equilibria. They also connect many sub-areas of mathematics like game theory, optimization, and matrix theory. Despite…

Optimization and Control · Mathematics 2022-02-25 Christian Biefel , Frauke Liers , Jan Rolfes , Martin Schmidt

Similar to a strategic interaction between rational and intelligent agents, cryptography problems can be examined through the prism of game theory. In this setting, the agent aiming to protect a message is called the defender, while the one…

Cryptography and Security · Computer Science 2026-04-28 Willie Kouam , Stefan Rass , Zahra Seyedi , Shahzad Ahmad , Eckhard Pfluegel