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A Replica Inference Approach to Unsupervised Multi-Scale Image Segmentation
Inference Approach Image Segmentation
2011/9/29
We apply a replica inference based Potts model method to unsupervised image segmentation on multiple scales. This approach was inspired by the statistical mechanics problem of “community detection” an...
We study the realizability of scale free-networks with a given degree sequence, showing that the fraction of realizable sequences undergoes two first-order transitions at the values 0 and 2 of the pow...
Simple rules govern finite-size effects in scale-free networks
finite-size effects scale-free networks
2011/7/13
We give an intuitive though general explanation of the finitesize effect in scale-free networks in terms of the degree distribution of the starting network. This result clarifies the relevance of the ...
A Large-Scale Community Structure Analysis In Facebook
Community Structure Analysis Facebook
2011/6/15
In this work we present a large-scale community structure detection and analysis applied to the largest Online Social Network actually existing, namely Facebook. This network gathers more than 500 mil...
Lorentz invariance, nonzero minimal uncertainty in position, and inhomogeneity of space at the Planck scale
Lorentz invariance nonzero minimal uncertainty
2010/11/30
The suspicion that the existence of a minimal uncertainty in position measurements violates Lorentz invariance seems unfounded. It is shown that the existence of such a nonzero minimal uncertainty in...
Small Scale Magnetic Field Evolution In The First Objects Formed In The Universe
Small Scale Magnetic Field Evolution The First Objects In The Universe
2004/12/31
Large scale magnetic fields in galaxies are thought to be generated, by a mean field dynamo. In order to have generated the fields observed, the dynamo would have had to have operated for a sufficient...
Old Weyl's the idea of scale recalibration freedom and Infeld's and van der Waerden's (IW) ideas concerning geometrical interpretation of natural spinor phase gauge symmetry are discussed in the conte...