Ecole d'ingénieur et centre de recherche en Sciences du numérique

The Power of Side-information in Subgraph Detection

Kadavankandy, Arun; Avrachenkov, Konstantin; Cottatellucci, Laura; Sundaresan, Rajesh

IEEE Transactions on Signal Processing (Vol. PP, N°99)

In this work, we tackle the problem of hidden community detection. We consider Belief Propagation (BP) applied to the problem of detecting a hidden Erdós-Renyi (ER) graph embedded in a larger and sparser ER graph, in the presence of side-information. We derive two related algorithms based on BP to perform subgraph detection in the presence of two kinds of side-information. The first variant of side-information consists of a set of nodes, called cues, known to be from the subgraph. The second variant of side-information consists of a set of nodes that are cues with a given probability. It was shown in past works that BP without side-information fails to detect the subgraph correctly when a so-called effective signal-to-noise ratio (SNR) parameter falls below a threshold. In contrast, in the presence of non-trivial side-information, we show that the BP algorithm achieves asymptotically zero error for any value of a suitably defined phase-transition parameter. We validate our results on synthetic datasets and a few real world networks.

Document Doi Bibtex

Titre:The Power of Side-information in Subgraph Detection
Type:Journal
Langue:English
Ville:
Date:
Département:Systèmes de Communication
Eurecom ref:5416
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Bibtex: @article{EURECOM+5416, doi = {http://dx.doi.org/10.1109/TSP.2017.2786266}, year = {2017}, month = {12}, title = {{T}he {P}ower of {S}ide-information in {S}ubgraph {D}etection}, author = {{K}adavankandy, {A}run and {A}vrachenkov, {K}onstantin and {C}ottatellucci, {L}aura and {S}undaresan, {R}ajesh}, journal = {{IEEE} {T}ransactions on {S}ignal {P}rocessing ({V}ol. {PP}, {N}°99)}, url = {http://www.eurecom.fr/publication/5416} }
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