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In the network activation problem, each edge in a graph is associated with an activation function, that decides whether the edge is activated from node-weights assigned to its end-nodes. The feasible solutions of the problem are the…

Data Structures and Algorithms · Computer Science 2014-09-29 Takuro Fukunaga

The state-of-the-art topologies of datacenter networks are fixed, based on electrical switching technology, and by now, we understand their throughput and cost well. For the past years, researchers have been developing novel optical…

Networking and Internet Architecture · Computer Science 2024-02-15 Chen Griner , Chen Avin

We present a novel network pruning algorithm called Dynamic Sparse Training that can jointly find the optimal network parameters and sparse network structure in a unified optimization process with trainable pruning thresholds. These…

Machine Learning · Computer Science 2020-05-15 Junjie Liu , Zhe Xu , Runbin Shi , Ray C. C. Cheung , Hayden K. H. So

This paper introduces a convex optimization framework for identifying switched network systems, in which both the node dynamics and the underlying graph topology switch between a finite number of configurations. Building on our recent…

Optimization and Control · Mathematics 2025-10-29 Kaito Iwasaki , Anthony Bloch , Maani Ghaffari

In this paper, we study the crucial elements of complex networks, namely nodes, and edges and their properties such as their community structure, which play an important role in dictating the robustness of the network towards structural…

Social and Information Networks · Computer Science 2021-02-04 V. Parimi , A. Pal , S. Ruj , P. Kumaraguru , T. Chakraborty

For any initial correlated network after any kind of attack where either nodes or edges are removed, we obtain general expressions for the degree-degree probability matrix and degree distribution. We show that the proposed analytical…

Physics and Society · Physics 2013-02-18 Animesh Srivastava , Bivas Mitra , Niloy Ganguly , Fernando Peruani

Recent network research has focused on the cascading failures in a system of interdependent networks and the necessary preconditions for system collapse. An important question that has not been addressed is how to repair a failing system…

Physics and Society · Physics 2016-01-27 M. A. Di Muro , C. E. La Rocca , H. E. Stanley , S. Havlin , L. A. Braunstein

In this paper, we study crucial elements of a complex network, namely its nodes and connections, which play a key role in maintaining the network's structure and function under unexpected structural perturbations of nodes and edges removal.…

Social and Information Networks · Computer Science 2017-02-07 Hung T. Nguyen , Nam P. Nguyen , Tam Vu , Huan X. Hoang , Thang N. Dinh

In this paper, we present an algorithm for optimizing synchronizability of complex dynamical networks. Based on some network properties, rewirings, i.e. eliminating an edge and creating a new edge elsewhere, are performed iteratively…

Physics and Society · Physics 2008-12-31 Ali Ajdari Rad , Mahdi Jalili , Martin Hasler

In this paper we describe a parameterized family of first-order distributed optimization algorithms that enable a network of agents to collaboratively calculate a decision variable that minimizes the sum of cost functions at each agent.…

Optimization and Control · Mathematics 2023-08-15 Israel L. Donato Ridgley , Randy A. Freeman , Kevin M. Lynch

Data augmentation helps neural networks generalize better by enlarging the training set, but it remains an open question how to effectively augment graph data to enhance the performance of GNNs (Graph Neural Networks). While most existing…

Machine Learning · Computer Science 2022-03-30 Kezhi Kong , Guohao Li , Mucong Ding , Zuxuan Wu , Chen Zhu , Bernard Ghanem , Gavin Taylor , Tom Goldstein

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

Social and Information Networks · Computer Science 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

As neural networks continue their reach into nearly every aspect of software operations, the details of those networks become an increasingly sensitive subject. Even those that deploy neural networks embedded in physical devices may wish to…

Cryptography and Security · Computer Science 2020-06-23 Xing Hu , Ling Liang , Lei Deng , Shuangchen Li , Xinfeng Xie , Yu Ji , Yufei Ding , Chang Liu , Timothy Sherwood , Yuan Xie

This paper addresses the problem of identifying the graph structure of a dynamical network using measured input/output data. This problem is known as topology identification and has received considerable attention in recent literature. Most…

Optimization and Control · Mathematics 2020-05-08 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Much of our commerce and traveling depend on the efficient operation of large scale networks. Some of those, such as electric power grids, transportation systems, communication networks, and others, must maintain their efficiency even after…

Physics and Society · Physics 2015-03-26 Vitor H. P. Louzada , Fabio Daolio , Hans J. Herrmann , Marco Tomassini

We consider the problem of adding a fixed number of new edges to an undirected graph in order to minimize the diameter of the augmented graph, and under the constraint that the number of edges added for each vertex is bounded by an integer.…

Data Structures and Algorithms · Computer Science 2023-02-14 Florian Adriaens , Aristides Gionis

Detailed network models of social, biological and other complex systems are often dense, which increases their computational complexity in simulations and analysis. To address this challenge, graph sparsification is used to remove edges…

Physics and Society · Physics 2026-03-19 Bernardo Pereira , Felipe Xavier Costa , Luís M. Rocha

The existence of considerable amount of redundancy in the Internet traffic at the packet level has stimulated the deployment of packet-level redundancy elimination techniques within the network by enabling network nodes to memorize data…

Networking and Internet Architecture · Computer Science 2014-11-25 Ahmad Beirami , Mohsen Sardari , Faramarz Fekri

While gradient descent has proven highly successful in learning connection weights for neural networks, the actual structure of these networks is usually determined by hand, or by other optimization algorithms. Here we describe a simple…

Neural and Evolutionary Computing · Computer Science 2016-08-09 Thomas Miconi

One of the key advantages of Software-Defined Networks (SDN) is the opportunity to integrate traffic engineering modules able to optimize network configuration according to traffic. Ideally, network should be dynamically reconfigured as…

Networking and Internet Architecture · Computer Science 2020-11-26 Davide Sanvito , Ilario Filippini , Antonio Capone , Stefano Paris , Jeremie Leguay