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In binary cascade dynamics, the nodes of a graph are in one of two possible states (inactive, active), and nodes in the inactive state make an irreversible transition to the active state, as soon as their precursors satisfy a predetermined…

Physics and Society · Physics 2018-03-16 Edward Laurence , Jean-Gabriel Young , Sergey Melnik , Louis J. Dubé

We introduce a new optimization framework to maximize the expected spread of cascades in networks. Our model allows a rich set of actions that directly manipulate cascade dynamics by adding nodes or edges to the network. Our motivating…

The collection of all the strongly connected components in a directed graph, among each cluster of which any node has a path to another node, is a typical example of the intertwining structure and dynamics in complex networks, as its…

Physics and Society · Physics 2016-05-31 Jin-Hua Zhao , Hai-Jun Zhou

Diffusion is a fundamental graph process, underpinning such phenomena as epidemic disease contagion and the spread of innovation by word-of-mouth. We address the algorithmic problem of finding a set of k initial seed nodes in a network so…

Data Structures and Algorithms · Computer Science 2016-06-23 Christian Borgs , Michael Brautbar , Jennifer Chayes , Brendan Lucier

Routing optimization is a relevant problem in many contexts. Solving directly this type of optimization problem is often computationally unfeasible. Recent studies suggest that one can instead turn this problem into one of solving a…

Physics and Society · Physics 2020-12-11 Diego Baptista , Daniela Leite , Enrico Facca , Mario Putti , Caterina De Bacco

In this paper, we study the \underline{R}obust \underline{o}ptimization for \underline{se}quence \underline{Net}worked \underline{s}ubmodular maximization (RoseNets) problem. We interweave the robust optimization with the sequence networked…

Artificial Intelligence · Computer Science 2023-01-27 Qihao Shi , Bingyang Fu , Can Wang , Jiawei Chen , Sheng Zhou , Yan Feng , Chun Chen

We study the $r$-complex contagion influence maximization problem. In the influence maximization problem, one chooses a fixed number of initial seeds in a social network to maximize the spread of their influence. In the $r$-complex…

Social and Information Networks · Computer Science 2022-06-15 Grant Schoenebeck , Biaoshuai Tao , Fang-Yi Yu

Many real-world systems are characterized by stochastic dynamical rules where a complex network of interactions among individual elements probabilistically determines their state. Even with full knowledge of the network structure and of the…

Physics and Society · Physics 2018-05-15 Filippo Radicchi , Claudio Castellano

Understanding the mutual interdependence between the behavior of dynamical processes on networks and the underlying topologies promises new insight for a large class of empirical networks. We present a generic approach to investigate this…

Disordered Systems and Neural Networks · Physics 2012-08-08 Steffen Karalus , Markus Porto

Information spreads across social and technological networks, but often the network structures are hidden from us and we only observe the traces left by the diffusion processes, called cascades. Can we recover the hidden network structures…

Social and Information Networks · Computer Science 2014-05-14 Hadi Daneshmand , Manuel Gomez-Rodriguez , Le Song , Bernhard Schoelkopf

Cascades are ubiquitous in various network environments. How to predict these cascades is highly nontrivial in several vital applications, such as viral marketing, epidemic prevention and traffic management. Most previous works mainly focus…

Social and Information Networks · Computer Science 2015-05-28 Linyun Yu , Peng Cui , Fei Wang , Chaoming Song , Shiqiang Yang

Influence maximization is the task of selecting a small number of seed nodes in a social network to maximize the influence spread from these seeds. It has been widely investigated in the past two decades. In the canonical setting, the…

Social and Information Networks · Computer Science 2022-02-21 Zhijie Zhang , Wei Chen , Xiaoming Sun , Jialin Zhang

The topology of a network directly influences the behaviour and controllability of dynamical processes on that network. Therefore, the design of network topologies is an important area of research when examining the control of distributed…

Optimization and Control · Mathematics 2016-09-29 Mathias Hudoba de Badyn , Mehran Mesbahi

We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

Data Structures and Algorithms · Computer Science 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

Real world networks are often subject to severe uncertainties which need to be addressed by any reliable prescriptive model. In the context of the maximum flow problem subject to arc failure, robust models have gained particular attention.…

Discrete Mathematics · Computer Science 2017-05-24 Fabian Mies , Britta Peis , Andreas Wierz

We consider the optimal coverage problem where a multi-agent network is deployed in an environment with obstacles to maximize a joint event detection probability. The objective function of this problem is non-convex and no global optimum is…

Optimization and Control · Mathematics 2017-08-15 Xinmiao Sun , Christos G. Cassandras , Xiangyu Meng

Can evolving networks be inferred and modeled without directly observing their nodes and edges? In many applications, the edges of a dynamic network might not be observed, but one can observe the dynamics of stochastic cascading processes…

Machine Learning · Computer Science 2019-02-26 Elahe Ghalebi , Baharan Mirzasoleiman , Radu Grosu , Jure Leskovec

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

Networks are ubiquitous throughout science and engineering. A number of methods, including some from our own group, have explored how one goes about computing or predicting the dynamics of networks given information about internal models of…

Molecular Networks · Quantitative Biology 2017-11-06 Gabriel A. Silva

We consider a class of discrete optimization problems that aim to maximize a submodular objective function subject to a distributed partition matroid constraint. More precisely, we consider a networked scenario in which multiple agents…

Optimization and Control · Mathematics 2020-11-19 Alexander Robey , Arman Adibi , Brent Schlotfeldt , George J. Pappas , Hamed Hassani