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We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. The intruders' objective is to breach the target boundary without being captured by the defender. As soon as…

Robotics · Computer Science 2022-12-14 Arman Pourghorban , Michael Dorothy , Daigo Shishika , Alexander Von Moll , Dipankar Maity

We perform structural and algorithmic studies of significantly generalized versions of the optimal perimeter guarding (OPG) problem. As compared with the original OPG where robots are uniform, in this paper, many mobile robots with…

Optimization and Control · Mathematics 2019-12-19 Si Wei Feng , Jingjin Yu

Making classifiers robust to adversarial examples is hard. Thus, many defenses tackle the seemingly easier task of detecting perturbed inputs. We show a barrier towards this goal. We prove a general hardness reduction between detection and…

Machine Learning · Computer Science 2022-06-17 Florian Tramèr

We investigate a variation of the art gallery problem in which a team of mobile guards tries to track an unpredictable intruder in a simply-connected polygonal environment. In this work, we use the deployment strategy for diagonal guards…

Robotics · Computer Science 2016-11-16 Guillermo J. Laguna , Rui Zou , Sourabh Bhattacharya

In this paper, we investigate a multi-agent target guarding problem in which a single defender seeks to capture multiple attackers aiming to reach a high-value target area. In contrast to previous studies, the attackers herein are assumed…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Yoonjae Lee , Goutam Das , Daigo Shishika , Efstathios Bakolas

This paper aims to solve the coordination of a team of robots traversing a route in the presence of adversaries with random positions. Our goal is to minimize the overall cost of the team, which is determined by (i) the accumulated risk…

Robotics · Computer Science 2024-08-22 Zechen Hu , Manshi Limbu , Daigo Shishika , Xuesu Xiao , Xuan Wang

We consider the problem of protecting and manipulating elections by recounting and changing ballots, respectively. Our setting involves a plurality-based election held across multiple districts, and the problem formulations are based on the…

Computer Science and Game Theory · Computer Science 2020-11-24 Kishen N. Gowda , Neeldhara Misra , Vraj Patel

This paper presents a game-theoretic path-following formulation where the opponent is an adversary road model. This formulation allows us to compute safe sets using tools from viability theory, that can be used as terminal constraints in an…

Robotics · Computer Science 2020-05-18 Alexander Liniger , Luc van Gool

A set S of vertices of a graph is a defensive alliance if, for each element of S, the majority of its neighbors is in S. The problem of finding a defensive alliance of minimum size in a given graph is NP-hard and there are polynomial-time…

Computational Complexity · Computer Science 2017-07-17 Bernhard Bliem , Stefan Woltran

This paper studies a system security problem in the context of observability based on a two-person noncooperative infinitely repeated game. Both the attacker and the defender have means to modify the dimension of the unobservable subspace,…

Optimization and Control · Mathematics 2025-06-11 Yueyue Xu , Panpan Zhou , Lin Wang , Zhixin Liu , Xiaoming Hu

Machine learning (ML) defenses protect against various risks to security, privacy, and fairness. Real-life models need simultaneous protection against multiple different risks which necessitates combining multiple defenses. But combining…

Cryptography and Security · Computer Science 2025-08-15 Vasisht Duddu , Rui Zhang , N. Asokan

We consider three related problems of robot movement in arbitrary dimensions: coverage, search, and navigation. For each problem, a spherical robot is asked to accomplish a motion-related task in an unknown environment whose geometry is…

Computational Geometry · Computer Science 2011-10-13 Joshua Brown Kramer , Lucas Sabalka

While deep convolutional neural networks (CNNs) are vulnerable to adversarial attacks, considerably few efforts have been paid to construct robust deep tracking algorithms against adversarial attacks. Current studies on adversarial attack…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Shuai Jia , Chao Ma , Yibing Song , Xiaokang Yang

The parameter space of dynamical systems arising in applications is often found to be high-dimensional and difficult to explore. We construct a fast algorithm to numerically analyze "quantitative features" of dynamical systems depending on…

Numerical Analysis · Mathematics 2008-07-15 Christian Kuehn

We present a model for layered security with applications to the protection of sites such as stadiums or large gathering places. We formulate the problem as one of maximizing the capture of illegal contraband. The objective function is…

Other Computer Science · Computer Science 2022-04-20 Tsvetan Asamov , Emre Yamangil , Endre Boros , Paul Kantor , Fred Roberts

This article considers the design and analysis of multiple moving target defenses for recognizing and isolating attacks on cyber-physical systems. We consider attackers who perform integrity attacks on a set of sensors and actuators in a…

Systems and Control · Computer Science 2020-08-21 Paul Griffioen , Sean Weerakkody , Bruno Sinopoli

Dataset bias is a problem in adversarial machine learning, especially in the evaluation of defenses. An adversarial attack or defense algorithm may show better results on the reported dataset than can be replicated on other datasets. Even…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Camilo Pestana , Wei Liu , David Glance , Ajmal Mian

Despite significant advances, deep networks remain highly susceptible to adversarial attack. One fundamental challenge is that small input perturbations can often produce large movements in the network's final-layer feature space. In this…

Machine Learning · Computer Science 2023-04-20 Maria-Florina Balcan , Avrim Blum , Dravyansh Sharma , Hongyang Zhang

We study a version of adversarial classification where an adversary is empowered to corrupt data inputs up to some distance $\varepsilon$, using tools from variational analysis. In particular, we describe necessary conditions associated…

Machine Learning · Computer Science 2022-03-14 Nicolas Garcia Trillos , Ryan Murray

The vehicle routing problem has great importance and application in transportation and supply chain management. In this case, there are several supply requests in a transportation network. The main goal is to allocate customers to available…

Optimization and Control · Mathematics 2023-10-10 H. Bigdeli , S. M. S. Mirdamadi , A. Deaconu , J. Tayyebi