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We consider the corner-stone broadcast task with an adaptive adversary that controls a fixed number of $t$ edges in the input communication graph. In this model, the adversary sees the entire communication in the network and the random…

数据结构与算法 · 计算机科学 2022-03-29 Yael Hitron , Merav Parter

Statistical network models are useful for understanding the underlying formation mechanism and characteristics of complex networks. However, statistical models for \textit{signed networks} have been largely unexplored. In signed networks,…

统计方法学 · 统计学 2023-09-04 Weijing Tang , Ji Zhu

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

物理与社会 · 物理学 2022-04-07 Alexandre Bovet , Hernán A. Makse

The high cost of data labeling often results in node label shortage in real applications. To improve node classification accuracy, graph-based semi-supervised learning leverages the ample unlabeled nodes to train together with the scarce…

机器学习 · 计算机科学 2023-03-14 Jiaren Xiao , Quanyu Dai , Xiaochen Xie , James Lam , Ka-Wai Kwok

We consider local leaders in random uncorrelated networks, i.e. nodes whose degree is higher or equal than the degree of all of their neighbors. An analytical expression is found for the probability of a node of degree $k$ to be a local…

物理与社会 · 物理学 2008-12-01 V. D. Blondel , J. -L. Guillaume , J. M. Hendrickx , C. de Kerchove , R. Lambiotte

Deep learning systems have become ubiquitous in many aspects of our lives. Unfortunately, it has been shown that such systems are vulnerable to adversarial attacks, making them prone to potential unlawful uses. Designing deep neural…

机器学习 · 计算机科学 2018-06-04 Jan Svoboda , Jonathan Masci , Federico Monti , Michael M. Bronstein , Leonidas Guibas

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…

机器学习 · 计算机科学 2023-04-20 Maria-Florina Balcan , Avrim Blum , Dravyansh Sharma , Hongyang Zhang

Deep neural networks are at the forefront of machine learning research. However, despite achieving impressive performance on complex tasks, they can be very sensitive: Small perturbations of inputs can be sufficient to induce incorrect…

计算机视觉与模式识别 · 计算机科学 2020-09-04 Alex Serban , Erik Poll , Joost Visser

We study a networked version of the minority game in which agents can choose to follow the choices made by a neighbouring agent in a social network. We show that for a wide variety of networks a leadership structure always emerges, with…

物理与社会 · 物理学 2012-02-22 T. Clemson , T. S. Evans

Deep neural networks are vulnerable to small input perturbations known as adversarial attacks. Inspired by the fact that these adversaries are constructed by iteratively minimizing the confidence of a network for the true class label, we…

机器学习 · 计算机科学 2021-12-17 Motasem Alfarra , Juan C. Pérez , Ali Thabet , Adel Bibi , Philip H. S. Torr , Bernard Ghanem

Deep neural networks have been shown to suffer from a surprising weakness: their classification outputs can be changed by small, non-random perturbations of their inputs. This adversarial example phenomenon has been explained as originating…

机器学习 · 计算机科学 2016-08-30 Thomas Tanay , Lewis Griffin

The entities in directed networks arising from real-world interactions are often naturally organized under some hierarchical structure. Given a directed, weighted, graph with edges and node labels, we introduce ranking problem where the…

数据结构与算法 · 计算机科学 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

We study the performance of a network of agents tasked with tracking an external unknown signal in the presence of stochastic disturbances and under the condition that only a limited subset of agents, known as leaders, can measure the…

最优化与控制 · 数学 2015-06-16 Katherine E. Fitch , Naomi Ehrich Leonard

Clusters or communities can provide a coarse-grained description of complex systems at multiple scales, but their detection remains challenging in practice. Community detection methods often define communities as dense subgraphs, or…

We study the interaction between a network designer and an adversary over a dynamical network. The network consists of nodes performing continuous-time distributed averaging. The goal of the network designer is to assist the nodes reach…

最优化与控制 · 数学 2013-04-02 Ali Khanafer , Behrouz Touri , Tamer Başar

Directed networks are ubiquitous and are necessary to represent complex systems with asymmetric interactions---from food webs to the World Wide Web. Despite the importance of edge direction for detecting local and community structure, it…

物理与社会 · 物理学 2010-11-09 Jacob G. Foster , David V. Foster , Peter Grassberger , Maya Paczuski

The dynamics of competing opinions in social network play an important role in society, with many applications in diverse social contexts as consensus, elections, morality and so on. Here we study a model of interacting agents connected in…

物理与社会 · 物理学 2022-09-29 Antonio Mihara , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira

We show that adversarial examples exist for various random convolutional networks, and furthermore, that this is a relatively simple consequence of the isoperimetric inequality on the special orthogonal group $\mathbb{so}(d)$. This extends…

机器学习 · 计算机科学 2025-06-17 Amit Daniely

This study relates the local property of node dominance to local and global properties of a network. Iterative removal of dominated nodes yields a distributed algorithm for computing a core-periphery decomposition of a social network, where…

社会与信息网络 · 计算机科学 2015-09-25 Jennifer Gamble , Harish Chintakunta , Adam Wilkerson , Hamid Krim , Ananthram Swami

Neural networks are known to be vulnerable to adversarial examples: inputs that are close to natural inputs but classified incorrectly. In order to better understand the space of adversarial examples, we survey ten recent proposals that are…

机器学习 · 计算机科学 2017-11-02 Nicholas Carlini , David Wagner