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» Lower Bounds in Distributed Computing
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SODA
2008
ACM
89views Algorithms» more  SODA 2008»
15 years 5 months ago
Earth mover distance over high-dimensional spaces
The Earth Mover Distance (EMD) between two equalsize sets of points in Rd is defined to be the minimum cost of a bipartite matching between the two pointsets. It is a natural metr...
Alexandr Andoni, Piotr Indyk, Robert Krauthgamer
NIPS
2001
15 years 5 months ago
Spectral Relaxation for K-means Clustering
The popular K-means clustering partitions a data set by minimizing a sum-of-squares cost function. A coordinate descend method is then used to nd local minima. In this paper we sh...
Hongyuan Zha, Xiaofeng He, Chris H. Q. Ding, Ming ...
CORR
2010
Springer
115views Education» more  CORR 2010»
15 years 4 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
COR
2006
94views more  COR 2006»
15 years 4 months ago
A comparison of two different formulations for arc routing problems on mixed graphs
Arc Routing Problems on mixed graphs have been modelled in the literature either using just one variable per edge or associating to each edge two variables, each one representing ...
Angel Corberán, Enrique Mota, José M...
CORR
2006
Springer
164views Education» more  CORR 2006»
15 years 4 months ago
Approximation Algorithms for Restricted Cycle Covers Based on Cycle Decompositions
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey