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AUTOMATICA
2006
122views more  AUTOMATICA 2006»
13 years 7 months ago
Gibbs sampler-based coordination of autonomous swarms
In this paper a novel, Gibbs sampler-based algorithm is proposed for coordination of autonomous swarms. The swarm is modeled as a Markov random field (MRF) on a graph with a time-...
Wei Xi, Xiaobo Tan, John S. Baras
ML
2010
ACM
193views Machine Learning» more  ML 2010»
13 years 2 months ago
On the eigenvectors of p-Laplacian
Spectral analysis approaches have been actively studied in machine learning and data mining areas, due to their generality, efficiency, and rich theoretical foundations. As a natur...
Dijun Luo, Heng Huang, Chris H. Q. Ding, Feiping N...
FOCS
2002
IEEE
14 years 13 days ago
Global Information from Local Observation
We observe a certain random process on a graph ”locally”, i.e., in the neighborhood of a node, and would like to derive information about ”global” properties of the graph....
Itai Benjamini, László Lovász
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 1 months ago
Eigenvectors of Random Graphs: Nodal Domains
We initiate a systematic study of eigenvectors of random graphs. Whereas much is known about eigenvalues of graphs and how they reflect properties of the underlying graph, relati...
Yael Dekel, James R. Lee, Nathan Linial
FOCS
2007
IEEE
14 years 1 months ago
Reconstruction for Models on Random Graphs
Consider a collection of random variables attached to the vertices of a graph. The reconstruction problem requires to estimate one of them given ‘far away’ observations. Sever...
Antoine Gerschenfeld, Andrea Montanari