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Communication Dans Un Congrès Année : 2013

Reconstructing a Graph from Path Traces

Résumé

This paper considers the problem of inferring the structure of a network from indirect observations. Each observation (a "trace") is the unordered set of nodes which are activated along a path through the network. Since a trace does not convey information about the order of nodes within the path, there are many feasible orders for each trace observed, and thus the problem of inferring the network from traces is, in general, illposed. We propose and analyze an algorithm which inserts edges by ordering each trace into a path according to which pairs of nodes in the path co-occur most frequently in the observations. When all traces involve exactly 3 nodes, we derive necessary and sufficient conditions for the reconstruction algorithm to exactly recover the graph. Finally, for a family of random graphs, we present expressions for reconstruction error probabilities (false discoveries and missed detections).
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Dates et versions

hal-00857104 , version 1 (02-09-2013)

Identifiants

  • HAL Id : hal-00857104 , version 1

Citer

Vincent Gripon, Michael Rabbat. Reconstructing a Graph from Path Traces. ISIT 2013 : proceedings of the IEEE International Symposium on Information Theory, Jul 2013, Istanbul, Turkey. ⟨hal-00857104⟩
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