Comparison of Adaptive Resonance Theory Neural Networks for Astronomical Region of Interest Detection and Noise Characterization

While learning algorithms have been used for astronomical data analysis, the vast majority of those algorithms have used supervised learning. In a continuation of the work described in Young et ah [18] we examine the use of unsupervised learning for this task with two types of Adaptive Resonance Theory (ART) neural networks. Using synthetic astronomical data from SkyMaker[2], [3] which was designed to mimic the dynamic range of the CTI-[14] telescope, we compared the ability of the ART-1 neural network[4] and the ART-1 neural network with category theoretic modiflcation[9], [11] to detect regions of interest and to characterize noise. We show a difference in the geometries of the templates created by each architecture. We also show an analysis of the two architectures over a range of parameter settings. The results provided show that ART neural networks and unsupervised learning algorithms in general should not be overlooked for astronomical data analysis.

[1]  M. J. Healy,et al.  Modification of the ART-1 architecture based on category theoretic design principles , 2005, Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005..

[2]  Roy L. Crole,et al.  Categories for Types , 1994, Cambridge mathematical textbooks.

[3]  Stephen Grossberg,et al.  A massively parallel architecture for a self-organizing neural pattern recognition machine , 1988, Comput. Vis. Graph. Image Process..

[4]  F. William Lawvere,et al.  Conceptual Mathematics: A First Introduction to Categories , 1997 .

[5]  José Meseguer,et al.  General Logics , 2006 .

[6]  J HealyMichael,et al.  Ontologies and worlds in category theory , 2006 .

[7]  E. Bertin,et al.  SExtractor: Software for source extraction , 1996 .

[8]  John T. McGraw,et al.  Bayesian Belief Networks for Astronomical Object Recognition and Classification in CTI-II , 2009 .

[9]  David Corfield,et al.  Review of F. William Lawvere and Stephen Schanuel, 'Conceptual Mathematics: A First Introduction to Categories' , 2002 .

[10]  S. Lane Categories for the Working Mathematician , 1971 .

[11]  Horst Herrlich,et al.  Abstract and concrete categories , 1990 .

[12]  Joseph A. Goguen,et al.  Institutions: abstract model theory for specification and programming , 1992, JACM.

[13]  Thomas P. Caudell,et al.  Acquiring rule sets as a product of learning in a logical neural architecture , 1997, IEEE Trans. Neural Networks.

[14]  S. Maclane,et al.  Categories for the Working Mathematician , 1971 .

[15]  Michael Georgiopoulos,et al.  Properties of learning related to pattern diversity in ART1 , 1991, Neural Networks.

[16]  Thomas P. Caudell,et al.  Ontologies and Worlds in Category Theory: Implications for Neural Systems , 2006 .

[17]  John T. McGraw,et al.  The second-generation CCD/Transit Instrument (CTI-II) precision astrometric and photometric survey , 2006, SPIE Astronomical Telescopes + Instrumentation.

[18]  Michael Barr,et al.  Category theory for computer science , 1995 .

[19]  Thomas P. Caudell,et al.  A categorical semantic analysis of ART architectures , 2001, IJCNN'01. International Joint Conference on Neural Networks. Proceedings (Cat. No.01CH37222).