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Comparing mathematical and heuristic approaches for scientific data analysis

Published online by Cambridge University Press:  12 December 2007

Aparna S. Varde ,
Shuhui Ma ,
Mohammed Maniruzzaman ,
David C. Brown ,
Elke A. Rundensteiner  and
Richard D. SissonJR.
Aparna S. Varde
Affiliation:
Mathematics and Computer Science, Virginia State University, Petersburg, Virginia, USA
Shuhui Ma
Affiliation:
Tiffany & Company, Cumberland, Rhode Island, USA
Mohammed Maniruzzaman
Affiliation:
Materials Science, Worcester Polytechnic Institute, Worcester, Massachusetts, USA
David C. Brown
Affiliation:
Computer Science, Worcester Polytechnic Institute, Worcester, Massachusetts, USA
Elke A. Rundensteiner
Affiliation:
Computer Science, Worcester Polytechnic Institute, Worcester, Massachusetts, USA
Richard D. SissonJR.
Affiliation:
Manufacturing and Materials Science, Worcester Polytechnic Institute, Worcester, Massachusetts, USA
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Abstract

Scientific data is often analyzed in the context of domain-specific problems, for example, failure diagnostics, predictive analysis, and computational estimation. These problems can be solved using approaches such as mathematical models or heuristic methods. In this paper we compare a heuristic approach based on mining stored data with a mathematical approach based on applying state-of-the-art formulae to solve an estimation problem. The goal is to estimate results of scientific experiments given their input conditions. We present a comparative study based on sample space, time complexity, and data storage with respect to a real application in materials science. Performance evaluation with real materials science data is also presented, taking into account accuracy and efficiency. We find that both approaches have their pros and cons in computational estimation. Similar arguments can be applied to other scientific problems such as failure diagnostics and predictive analysis. In the estimation problem in this paper, heuristic methods outperform mathematical models.

Keywords

Comparative StudyComputational EstimationHeat Treating of MaterialsHeuristic MethodsMathematical Modeling
Type
Research Article
Information
AI EDAM , Volume 22 , Issue 1 , February 2008 , pp. 53 - 69
Copyright
Copyright © Cambridge University Press 2008

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