Regression Analysis and Automorphic Orbits in Free Groups of Rank 2

I
ICPR
2004
17th International Conference on Pattern Recognition (ICPR'04) - Volume 1
Abstract - Regression Analysis and Automorphic Orbits in Free Groups of Rank 2

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17th International Conference on Pattern Recognition (ICPR'04) - Volume 1

Cambridge UK

August 23-August 26

ISBN: 0-7695-2128-2

	ASCII Text	x
	Alexei D. Miasnikov, Robert M. Haralick, "Regression Analysis and Automorphic Orbits in Free Groups of Rank 2," Pattern Recognition, International Conference on, vol. 1, pp. 180-183, 17th International Conference on Pattern Recognition (ICPR'04) - Volume 1, 2004.

	BibTex	x
	@article{ 10.1109/ICPR.2004.1334052, author = {Alexei D. Miasnikov and Robert M. Haralick}, title = {Regression Analysis and Automorphic Orbits in Free Groups of Rank 2}, journal ={Pattern Recognition, International Conference on}, volume = {1}, year = {2004}, issn = {1051-4651}, pages = {180-183}, doi = {http://doi.ieeecomputersociety.org/10.1109/ICPR.2004.1334052}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Pattern Recognition, International Conference on TI - Regression Analysis and Automorphic Orbits in Free Groups of Rank 2 SN - 1051-4651 SP180 EP183 A1 - Alexei D. Miasnikov, A1 - Robert M. Haralick, PY - 2004 KW - null VL - 1 JA - Pattern Recognition, International Conference on ER -

Alexei D. Miasnikov, The Graduate Center of The City University of New York

Robert M. Haralick, The Graduate Center of The City University of New York

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ICPR.2004.1334052

The main goal of this paper is to show that pattern recognition techniques can be successfully used in abstract algebra. We introduce a pattern recognition system to recognize words of minimal length in their automorphic orbits in free groups of rank 2. This system is based on linear regression and does not use any particular results from group theory. The corresponding classifier is very fast and surprisingly accurate.

Citation:

Alexei D. Miasnikov, Robert M. Haralick, "Regression Analysis and Automorphic Orbits in Free Groups of Rank 2," icpr, vol. 1, pp.180-183, 17th International Conference on Pattern Recognition (ICPR'04) - Volume 1, 2004

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