| 书目名称 | The Euclidean Matching Problem | | 编辑 | Gabriele Sicuro | | 视频video | | | 概述 | Nominated as an outstanding Ph.D. thesis by the University of Pisa, Italy.Includes a review of mathematical and physical methods for the solution of the assignment problem.Discusses the connection bet | | 丛书名称 | Springer Theses | | 图书封面 |  | | 描述 | This thesis discusses the random Euclidean bipartite matching problem, i.e., the matching problem between two different sets of points randomly generated on the Euclidean domain. The presence of both randomness and Euclidean constraints makes the study of the average properties of the solution highly relevant. The thesis reviews a number of known results about both matching problems and Euclidean matching problems. It then goes on to provide a complete and general solution for the one dimensional problem in the case of convex cost functionals and, moreover, discusses a potential approach to the average optimal matching cost and its finite size corrections in the quadratic case. The correlation functions of the optimal matching map in the thermodynamical limit are also analyzed. Lastly, using a functional approach, the thesis puts forward a general recipe for the computation of the correlation function of the optimal matching in any dimension and in a generic domain.. | | 出版日期 | Book 2017 | | 关键词 | Bipartite Matching Problem; Cavity Method; Replica Trick; Euclidean Optimization Problem; Random Optimiz | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-46577-7 | | isbn_softcover | 978-3-319-83544-0 | | isbn_ebook | 978-3-319-46577-7Series ISSN 2190-5053 Series E-ISSN 2190-5061 | | issn_series | 2190-5053 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 17:24:31
