Monday, December 19, 2016

Sparse Label Propagation

Alex just sent me the following:

Hi Igor, 
I just wanted to draw your attention to our recent manuscript “Sparse Label Propagation” which formulates the good old null-space property of sparse signal recovery in terms of cuts. On a higher-level it is another effort to combine compressed sensing and complex network techniques for mastering big data over networks. I thought it could be interesting for your CS blog. 
Thanks Alex ! Here is the paper: Sparse Label Propagation by Alexander Jung
We consider massive heterogeneous datasets with intrinsic network structure, i.e., big data over networks. These datasets can be modelled by graph signals, which are defined over large-scale irregular graphs representing complex networks. We show that (semi-supervised) learning of the entire underlying graph signal based on incomplete information provided by few initial labels can be reduced to a compressed sensing recovery problem within the cosparse analysis model. This reduction provides two things: First, it allows to apply highly developed compressed sensing methods to the learning problem. In particular, by implementing a recent primal-dual method for convex optimization, we obtain a sparse label propagation algorithm. Moreover, by casting the learning problem within compressed sensing, we are able to derive sufficient conditions on the graph structure and available label information, such that sparse label propagation is accurate.

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