From clustering to algorithms

author: Riccardo Zecchina, Department of Applied Science and Technology (DISAT), Politecnico di Torino
published: Feb. 25, 2007,   recorded: January 2005,   views: 4626
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Description

In this talk we firstly provide a rigorous probabilistic proof of the clustering phenomenon taking place in the space of solution of random combinatorial problems. Secondly we will discuss a generalization of the survey propagation equations efficiently exploring the clustered geometry. Finally, we discuss the computational consequences of the possibility of finding single clusters by describing a \"physical\" lossy compression scheme. Performance are optimized when the number of well separated clusters is maximal in the underlying physical model.

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