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Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Modular organization characterizes many complex networks occurring in nature, including the brain. In this paper we show that modular structure may be responsible for increasing the robustness of certain dynamical states of such systems. In…

Disordered Systems and Neural Networks · Physics 2015-05-27 Neeraj Pradhan , Subinay Dasgupta , Sitabhra Sinha

We describe a method for utilizing the known structure of input data to make learning more efficient. Our work is in the domain of programming languages, and we use deep neural networks to do program analysis. Computer programs include a…

Neural and Evolutionary Computing · Computer Science 2019-04-01 Zehra Sura , Tong Chen , Hyojin Sung

Many robotic systems deal with uncertainty by performing a sequence of information gathering actions. In this work, we focus on the problem of efficiently constructing such a sequence by drawing an explicit connection to submodularity.…

The neural network is a powerful computing framework that has been exploited by biological evolution and by humans for solving diverse problems. Although the computational capabilities of neural networks are determined by their structure,…

Neural and Evolutionary Computing · Computer Science 2019-03-27 Nathaniel Rodriguez , Eduardo Izquierdo , Yong-Yeol Ahn

Dynamic networks are structured interconnections of dynamical systems (modules) driven by external excitation and disturbance signals. In order to identify their dynamical properties and/or their topology consistently from measured data, we…

Systems and Control · Computer Science 2018-04-12 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

Submodularity is an important concept in integer and combinatorial optimization. A classical submodular set function models the utility of selecting homogenous items from a single ground set, and such selections can be represented by binary…

Optimization and Control · Mathematics 2023-04-06 Simge Küçükyavuz , Qimeng Yu

In this paper, controllability of undirected networked systems with {diffusively coupled subsystems} is considered, where each subsystem is of {identically {\emph{fixed}}} general high-order single-input-multi-output dynamics. The…

Systems and Control · Electrical Eng. & Systems 2020-04-21 Yuan Zhang , Yuanqing Xia , Han Gao , Guangchen Zhang

A key problem in emerging complex cyber-physical networks is the design of information and control topologies, including sensor and actuator selection and communication network design. These problems can be posed as combinatorial set…

Optimization and Control · Mathematics 2018-11-20 Tyler Summers , Maryam Kamgarpour

We study influence maximization on temporal networks. This is a special setting where the influence function is not submodular, and there is no optimality guarantee for solutions achieved via greedy optimization. We perform an exhaustive…

Physics and Society · Physics 2022-09-05 Sirag Erkol , Dario Mazzilli , Filippo Radicchi

The design space of networked embedded systems is very large, posing challenges to the optimisation of such platforms when it comes to support applications with real-time guarantees. Recent research has shown that a number of inter-related…

Performance · Computer Science 2020-07-21 Leandro Soares Indrusiak , Robert I. Davis , Piotr Dziurzanski

Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

In this review, we give an introduction to the structural and functional properties of the biological networks. We focus on three major themes: topology of complex biological networks like the metabolic and protein-protein interaction…

Condensed Matter · Physics 2007-05-23 Indrani Bose

Synchronization is an essential property of engineered and natural networked dynamical systems. The Kuramoto model of nonlinear synchronization has been widely studied in applications including entrainment of clock cells in brain networks…

Systems and Control · Electrical Eng. & Systems 2020-04-01 Dinuka Sahabandu , Andrew Clark , Linda Bushnell , Radha Poovendran

Complex networks often have a modular structure, where a number of tightly- connected groups of nodes (modules) have relatively few interconnections. Modularity had been shown to have an important effect on the evolution and stability of…

Physics and Society · Physics 2014-04-21 Saray Shai , Dror Y. Kenett , Yoed N. Kenett , Miriam Faust , Simon Dobson , Shlomo Havlin

The growth in data traffic and the increased demand for quality of service had generated a large demand for network systems to be more efficient. The introduction of improved routing systems to meet the increasing demand and varied…

Networking and Internet Architecture · Computer Science 2016-09-08 T. R. Gopalakrishnan Nair , Abhijith , Kavitha Sooda

Submodularity is a discrete domain functional property that can be interpreted as mimicking the role of the well-known convexity/concavity properties in the continuous domain. Submodular functions exhibit strong structure that lead to…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Ehsan Tohidi , Rouhollah Amiri , Mario Coutino , David Gesbert , Geert Leus , Amin Karbasi

Simple nonlinear dynamical systems with multiple stable stationary states are often taken as models for switchlike biological systems. This paper considers the interaction of multiple such simple multistable systems when they are embedded…

Quantitative Methods · Quantitative Biology 2008-04-10 Dennis Cates Wylie

Many complex engineering systems consist of multiple subsystems that are developed by different teams of engineers. To analyse, simulate and control such complex systems, accurate yet computationally efficient models are required. Modular…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

Subset selection tasks, arise in recommendation systems and search engines and ask to select a subset of items that maximize the value for the user. The values of subsets often display diminishing returns, and hence, submodular functions…

Machine Learning · Computer Science 2023-05-05 Anay Mehrotra , Nisheeth K. Vishnoi