Random multi-index matching problems
نویسندگان
چکیده
منابع مشابه
Random multi - index matching problems
The multi-index matching problem generalizes the well known matching problem by going from pairs to d-uplets. We use the cavity method from statistical physics to analyse its properties when the costs of the d-uplets are random. At low temperatures we find for d ≥ 3 a frozen glassy phase with vanishing entropy. We also investigate some properties of small samples by enumerating the lowest cost ...
متن کاملNeighborhood preferences in random matching problems
We consider a class of random matching problems where the distance between two points has a probability law which, for a small distance l, goes like l. In the framework of the cavity method, in the limit of an infinite number of points, we derive equations for pk, the probability for some given point to be matched to its k-th nearest neighbor in the optimal configuration. These equations are so...
متن کاملMulti-index stochastic collocation for random PDEs
In this work we introduce the Multi-Index Stochastic Collocation method (MISC) for computing statistics of the solution of a PDE with random data. MISC is a combination technique based on mixed differences of spatial approximations and quadratures over the space of random data. We propose an optimization procedure to select the most effective mixed differences to include in the MISC estimator: ...
متن کاملMulti-attributed Graph Matching with Multi-layer Random Walks
This paper addresses the multi-attributed graph matching problem considering multiple attributes jointly while preserving the characteristics of each attribute. Since most of conventional graph matching algorithms integrate multiple attributes to construct a single attribute in an oversimplified way, the information from multiple attributes are not often fully exploited. In order to solve this ...
متن کاملRandom Multi-Overlap Structures for Optimization problems
We extend to the K-SAT and p-XOR-SAT optimization problems the results recently achieved, by introducing the concept of Random MultiOverlap Structure, for the Viana-Bray model of diluted mean field spin glass. More precisely one can prove a generalized bound and an extended variational principle for the free energy per site in the thermodynamic limit. Moreover a trial function implementing ultr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2005
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2005/09/p09006