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Stack filter classifiers

Conference ·

Just as linear models generalize the sample mean and weighted average, weighted order statistic models generalize the sample median and weighted median. This analogy can be continued informally to generalized additive modeels in the case of the mean, and Stack Filters in the case of the median. Both of these model classes have been extensively studied for signal and image processing but it is surprising to find that for pattern classification, their treatment has been significantly one sided. Generalized additive models are now a major tool in pattern classification and many different learning algorithms have been developed to fit model parameters to finite data. However Stack Filters remain largely confined to signal and image processing and learning algorithms for classification are yet to be seen. This paper is a step towards Stack Filter Classifiers and it shows that the approach is interesting from both a theoretical and a practical perspective.

Research Organization:
Los Alamos National Laboratory (LANL)
Sponsoring Organization:
DOE
DOE Contract Number:
AC52-06NA25396
OSTI ID:
956351
Report Number(s):
LA-UR-09-00530; LA-UR-09-530
Country of Publication:
United States
Language:
English

References (8)

Switching Neural Networks: A New Connectionist Model for Classification book January 2006
Linear and Order Statistics Combiners for Pattern Classification book January 1999
Stack filters journal August 1986
Optimization of stack filters based on mirrored threshold decomposition journal June 2001
Min-max classifiers: Learnability, design and application journal June 1995
An introduction to morphological neural networks conference January 1996
A general weighted median filter structure admitting negative weights journal January 1998
Nonlinear filtering and pattern recognition: Are they the same? conference May 2001

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