Abstract | ||
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In this paper we discuss the main characteristics ( that we consider to be essential) for the design of an efficient optimizer in the context of highly non-convex functions. We consider a specific model known as Marked Point Process (MPP). Given that the probability density is multimodal, and given the size of the configuration space, an exploration phase is essential at the beginning of the algorithm. Next, the fine details of the density function should be discovered. We propose efficient kernels to efficiently explore the different modes of the density, and other kernels to discover the details of each mode. We study the algorithm theoretically to express convergence speeds and to select its best parameters. We also present a simple and generic method to parallelize the optimization of a specific class of MPP models. We validate our ideas first on synthetic data of con figurations of different sizes to prove the efficiency of the proposed kernels. Finally we present results on three different applications. |
Year | DOI | Venue |
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2013 | 10.1117/12.2009238 | COMPUTATIONAL IMAGING XI |
Keywords | Field | DocType |
Point process, multiple birth and cut, non-convex optimization, multiple object detection | Convergence (routing),Cut,Non convex optimization,Mathematical optimization,Point process,Synthetic data,Marked point process,Probability density function,Configuration space,Physics | Conference |
Volume | ISSN | Citations |
8657 | 0277-786X | 0 |
PageRank | References | Authors |
0.34 | 8 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ahmed Gamal-Eldin | 1 | 17 | 2.68 |
Guillaume Charpiat | 2 | 398 | 26.72 |
Xavier Descombes | 3 | 693 | 79.43 |
Josiane Zerubia | 4 | 2032 | 232.91 |