IJPAM: Volume 51, No. 2 (2009)
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Invited Lecture Delivered at
Fifth International Conference of Applied Mathematics
and Computing (Plovdiv, Bulgaria, August 12-18, 2008)
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DATA MINING IN OBSERVER'S MATHEMATICS
Dmitriy Khots
, Boris Khots
3710, S. 202-nd Avenue, Omaha, NE 68130, USA
e-mail: dkhots@cox.net
Compressor Controls Corporation
4725, 121-st Street, Des Moines, IA 50323-2316, USA
e-mail: bkhots@cccglobal.com
, Boris Khots
3710, S. 202-nd Avenue, Omaha, NE 68130, USA
e-mail: dkhots@cox.net
Compressor Controls Corporation
4725, 121-st Street, Des Moines, IA 50323-2316, USA
e-mail: bkhots@cccglobal.com
Abstract.This work considers Data Mining aspects in a setting of arithmetic provided by Observer's Mathematics (see www.mathrelativity.com). We prove that Data Mining methods based on Observer's Mathematics are more robust than classical methods for certain feature spaces. We further present applications of Observer's Mathematics to data mining problems in Physics and Genetics. Certain theoretical results and communications pertaining to these theorems are also provided.
Received: August 14, 2008
AMS Subject Classification: 03B30
Key Words and Phrases: arithmetic, data mining, physics
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 2