Title
Transformation Invariance In Pattern Recognition: Tangent Distance And Propagation
Abstract
In pattern recognition, statistical modeling, or regression, the amount of data is a critical factor affecting the performance. If the amount of data and computational resources are unlimited, even trivial algorithms will converge to the optimal solution. However, in the practical case, given limited data and other resources, satisfactory performance requires sophisticated methods to regularize the problem by introducing a priori knowledge. Invariance of the output with respect to certain transformations of the input is a typical example of such a priori knowledge. We introduce the concept of tangent vectors, which compactly represent the essence of these transformation invariances, and two classes of algorithms, tangent distance and tangent propagation, which make use of these invariances to improve performance. (C) 2001 John Wiley & Sons, Inc.
Year
DOI
Venue
2000
10.1002/1098-1098(2000)11:3<181::AID-IMA1003>3.0.CO;2-E
INTERNATIONAL JOURNAL OF IMAGING SYSTEMS AND TECHNOLOGY
Keywords
Field
DocType
pattern recognition
Local tangent space alignment,Pattern recognition,Invariant (physics),Regression,Computer science,A priori and a posteriori,Tangent vector,Tangent distance,Tangent,Statistical model,Artificial intelligence
Journal
Volume
Issue
ISSN
11
3
0899-9457
Citations 
PageRank 
References 
128
15.38
10
Authors
4
Search Limit
100128
Name
Order
Citations
PageRank
Patrice Y. Simard11112155.00
Yann LeCun2260903771.21
J. S. Denker332452524.81
Bernard Victorri4404229.60