2017
DOI: 10.1103/physreve.96.012319
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Inferring network structure from cascades

Abstract: Many physical, biological and social phenomena can be described by cascades taking place on a network. Often, the activity can be empirically observed, but not the underlying network of interactions. In this paper we offer three topological methods to infer the structure of any directed network given a set of cascade arrival times. Our formulas hold for a very general class of models where the activation probability of a node is a generic function of its degree and the number of its active neighbors. We report… Show more

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Cited by 5 publications
(3 citation statements)
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“…Many attempts have been made to solve this problem only based on diffusion knowledge, from static assumption requiring time stamp [15], [16], [17], [18] or without infection time [19] to dynamic inference [20], [21]. As a step further towards using prior knowledge, some works employ in-degree distribution for nodes [22], and measurements such as pathways, network properties, and information about the links or nodes [23]. Diffusion prediction: How to identify the future infected nodes in a cascade sequence by observing the incomplete and primary part of the cascade?…”
Section: Related Workmentioning
confidence: 99%
“…Many attempts have been made to solve this problem only based on diffusion knowledge, from static assumption requiring time stamp [15], [16], [17], [18] or without infection time [19] to dynamic inference [20], [21]. As a step further towards using prior knowledge, some works employ in-degree distribution for nodes [22], and measurements such as pathways, network properties, and information about the links or nodes [23]. Diffusion prediction: How to identify the future infected nodes in a cascade sequence by observing the incomplete and primary part of the cascade?…”
Section: Related Workmentioning
confidence: 99%
“…Moreover, this might actually not be necessary if the goal is to estimate the global outcome of a contagion process at the population level and not the risk concerning a specific individual. Other approaches have been developed to specifically estimate important properties of epidemic spread and information cascade without trying to recover the original network [15,20,[27][28][29]. These methods are however either process specific or rely on the existence of known mesocale structures (such as groups in the population) in the network, together with the knowledge of the structure to which each population member belongs.…”
Section: Introductionmentioning
confidence: 99%
“…Observable patterns here and now inform us of inaccessible patterns out and away. We can reconstruct the history of life from available fossils [4][5][6], or predict the fate of the universe by observing the present night sky [7][8][9]; we can infer hidden states and transition probabilities [10][11][12], connections and weights of neural networks [13][14][15] or parameters, initial states and interaction structures of complex systems [16][17][18][19][20][21][22][23][24][25].…”
mentioning
confidence: 99%