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Learning the Domain of Sparse Matrices

Authors: Suleyman Salin; Murat Manguoglu; Hasan Metin Aktulga;

Learning the Domain of Sparse Matrices

Abstract

Large sparse linear system of equations arise in many areas of science and engineering. Although, there are several black-box general sparse solvers, usually they are not as effective as domain specific solvers. In addition, most solvers contain multiple choices during the solution process which can be tailored to a specific domain. A natural first step towards a black-box solver that is as effective as domain specific solvers is to come up with a technique to identify the application domain of the problem. In this work, we propose to use some computationally inexpensive matrix properties for the classification task, and apply several classifiers to identify the application domain. Experiments on a large set of sparse matrices show that the domain information is predicted with 75.9% overall accuracy, and matrices in a specific domain can be predicted with 99% accuracy.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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