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Gradient-based adversarial attacks on deep neural networks pose a serious threat, since they can be deployed by adding imperceptible perturbations to the test data of any network, and the risk they introduce cannot be assessed through the…

Cryptography and Security · Computer Science 2021-04-06 Rehana Mahfuz , Rajeev Sahay , Aly El Gamal

Defending computer networks from cyber attack requires coordinating actions across multiple nodes based on imperfect indicators of compromise while minimizing disruptions to network operations. Advanced attacks can progress with few…

Cryptography and Security · Computer Science 2021-06-11 John Mern , Kyle Hatch , Ryan Silva , Jeff Brush , Mykel J. Kochenderfer

Consensus, synchronization, formation control, and power grid balance are all examples of virtuous dynamical states that may arise in networks. Here, we focus on how such states can be destabilized from a fundamental perspective; namely, we…

Adaptation and Self-Organizing Systems · Physics 2026-02-10 Amirhossein Nazerian , Sahand Tangerami , Malbor Asllani , David Phillips , Hernan Makse , Francesco Sorrentino

From the flashes of fireflies to Josephson junctions and power infrastructure, networks of coupled phase oscillators provide a powerful framework to describe synchronization phenomena in many natural and engineered systems. Most real-world…

Adaptation and Self-Organizing Systems · Physics 2022-03-02 Sherwood Martineau , Tim Saffold , Timothy T. Chang , Henrik Ronellenfitsch

An interesting problem in synchronization is the study of coupled oscillators, wherein oscillators with different natural frequencies synchronize to a common frequency and equilibrium phase difference. In this paper, we investigate the…

Dynamical Systems · Mathematics 2014-05-13 Vishaal Krishnan , Arun D. Mahindrakar , Somashekhar S. Hiremath

This study explores the vulnerability of direct data driven control, particularly in the linear quadratic regulator (LQR) problem, to adversarial perturbations in offline collected data. We focus on stealthy attacks that subtly alter…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Hampei Sasahara

Despite the tremendous success of deep neural networks in various learning problems, it has been observed that adding an intentionally designed adversarial perturbation to inputs of these architectures leads to erroneous classification with…

Machine Learning · Computer Science 2018-12-19 Emilio Rafael Balda , Arash Behboodi , Rudolf Mathar

Synchronization in networks of coupled oscillators is a widely studied topic with extensive scientific and engineering applications. In this paper, we study the frequency synchronization problem for networks of Kuramoto oscillators with…

Optimization and Control · Mathematics 2018-09-25 Saber Jafarpour , Elizabeth Y. Huang , Francesco Bullo

Although the set of permutation symmetries of a complex network can be very large, few of the symmetries give rise to stable synchronous patterns. Here we present a new framework and develop techniques for controlling synchronization…

Chaotic Dynamics · Physics 2016-05-04 Weijie Lin , Huawei Fan , Ying Wang , Heping Ying , Xingang Wang

We study the control of a linear dynamical system with adversarial disturbances (as opposed to statistical noise). The objective we consider is one of regret: we desire an online control procedure that can do nearly as well as that of a…

Machine Learning · Computer Science 2019-02-26 Naman Agarwal , Brian Bullins , Elad Hazan , Sham M. Kakade , Karan Singh

Recent research showed that deep neural networks are highly sensitive to so-called adversarial perturbations, which are tiny perturbations of the input data purposely designed to fool a machine learning classifier. Most classification…

Machine Learning · Computer Science 2018-01-15 Akram Erraqabi , Aristide Baratin , Yoshua Bengio , Simon Lacoste-Julien

Deep neural network image classifiers are reported to be susceptible to adversarial evasion attacks, which use carefully crafted images created to mislead a classifier. Recently, various kinds of adversarial attack methods have been…

Machine Learning · Computer Science 2019-10-04 He Zhao , Trung Le , Paul Montague , Olivier De Vel , Tamas Abraham , Dinh Phung

We study the propagation of a harmonic perturbation of small amplitude on a network of coupled identical phase oscillators prepared in a state of full synchronization. The perturbation is externally applied to a single oscillator, and is…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette

We study the synchronization of a small-world network of identical coupled phase oscillators with Kuramoto interaction. First, we consider the model with instantaneous mutual interaction and the normalized coupling constant to the degree of…

Disordered Systems and Neural Networks · Physics 2017-05-23 Sara Ameli , Farhad Shahbazi , Maryam Karimian , Tahereh Malakoutikhah

Adversarial training can be used to learn models that are robust against perturbations. For linear models, it can be formulated as a convex optimization problem. Compared to methods proposed in the context of deep learning, leveraging the…

Machine Learning · Statistics 2025-03-20 Antônio H. RIbeiro , Thomas B. Schön , Dave Zahariah , Francis Bach

Upon the discovery of adversarial attacks, robust models have become obligatory for deep learning-based systems. Adversarial training with first-order attacks has been one of the most effective defenses against adversarial perturbations to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Inci M. Baytas , Debayan Deb

Cluster synchronization underlies various functions in the brain. Abnormal patterns of cluster synchronization are often associated with neurological disorders. Deep brain stimulation (DBS) is a neurosurgical technique used to treat several…

Systems and Control · Electrical Eng. & Systems 2022-04-06 Yuzhen Qin , Danielle S. Bassett , Fabio Pasqualetti

Higher-order networks with multiway interactions can exhibit collective dynamical phenomena that are absent in traditional pairwise network models. However, analyzing such dynamics becomes computationally prohibitive as their state space…

Quantum Physics · Physics 2026-04-23 Caesnan M. G. Leditto , Angus Southwell , Muhammad Usman , Kavan Modi

Despite the empirical success in various domains, it has been revealed that deep neural networks are vulnerable to maliciously perturbed input data that much degrade their performance. This is known as adversarial attacks. To counter…

Machine Learning · Computer Science 2021-08-17 Nanyang Ye , Qianxiao Li , Xiao-Yun Zhou , Zhanxing Zhu

We study synchronization patterns in repulsively coupled Kuramoto oscillators and focus on the impact of disorder in the natural frequencies. Among other choices we select the grid size and topology in a way that we observe a dynamically…

Adaptation and Self-Organizing Systems · Physics 2017-05-12 Darka Labavic , Hildegard Meyer-Ortmanns
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