Phase transition in the detection of modules in sparse networks

Details Phase transition in the detection of modules in sparse networks Phase transition in the detection of modules in sparse networks

2011-02-06

arxiv.org/abs/1102.1182v1

Phys. Rev. Lett. 107, 065701 (2011)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.107.065701

We present an asymptotically exact analysis of the problem of detecting communities in sparse random networks. Our results are also applicable to detection of functional modules, partitions, and colorings in noisy planted models. Using a cavity method analysis, we unveil a phase transition from a region where the original group assignment is undetectable to one where detection is possible. In some cases, the detectable region splits into an algorithmically hard region and an easy one. Our approach naturally translates into a practical algorithm for detecting modules in sparse networks, and learning the parameters of the underlying model.

Affiliated with

Also associated with

No associations

Rating

Phase transition in the detection of modules in sparse networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Phase transition in the detection of modules in sparse networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transition in the detection of modules in sparse networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-506410