Local-Global Merge Tree Computation with Local Exchanges

被引:6
|
作者
Nigmetov, Arnur [1 ]
Morozov, Dmitriy [2 ]
机构
[1] Graz Univ Technol, Graz, Austria
[2] Lawrence Berkeley Natl Lab, Berkeley, CA USA
基金
奥地利科学基金会;
关键词
D O I
10.1145/3295500.3356188
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A merge tree is a topological summary of a real-valued function on a graph. Merge trees can be used to find stable features in the data, report the number of connected components above any threshold, or compute other topological descriptors. A local-global merge tree provides a way of distributing a merge tree among multiple processors so that queries can be performed with minimal communication. While this makes them efficient in massively parallel setting, the only known algorithm for computing a local-global merge tree involves global reduction. Motivated by applications in cosmological simulations, we consider a restricted version of the problem: we compute a local-global tree down to a threshold fixed by the user. We describe two algorithms for computing such a tree via only local exchanges between processors. We present a number of experiments that show the advantage of our method on different simulations.
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页数:13
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