On the performance of neuronal matching algorithms

For a solution of the visual correspondence problem we have modified the Self Organizing Map (SOM) to map image planes onto another in a neighborhood- and feature-preserving way. We have investigated the convergence speed of this SOM and Dynamic Link Matching (DLM) on a benchmark problem for the sol...

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Published inNeural networks Vol. 12; no. 1; pp. 127 - 134
Main Authors Würtz, Rolf P, Konen, Wolfgang, Behrmann, Kay-Ole
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1999
Elsevier Science
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ISSN0893-6080
1879-2782
1879-2782
DOI10.1016/S0893-6080(98)00112-9

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Abstract For a solution of the visual correspondence problem we have modified the Self Organizing Map (SOM) to map image planes onto another in a neighborhood- and feature-preserving way. We have investigated the convergence speed of this SOM and Dynamic Link Matching (DLM) on a benchmark problem for the solution of which both algorithms are good candidates. We show that even after careful parameter adjustment the SOM needs a large number of simple update steps and DLM a small number of complicated ones. The results are consistent with an exponential vs. polynomial scaling behavior with increased pattern size. Finally, we present and motivate a rule for adjusting the parameters of DLM for all problem sizes, which we could not find for SOM.
AbstractList For a solution of the visual correspondence problem we have modified the Self Organizing Map (SOM) to map image planes onto another in a neighborhood- and feature-preserving way. We have investigated the convergence speed of this SOM and Dynamic Link Matching (DLM) on a benchmark problem for the solution of which both algorithms are good candidates. We show that even after careful parameter adjustment the SOM needs a large number of simple update steps and DLM a small number of complicated ones. The results are consistent with an exponential vs. polynomial scaling behavior with increased pattern size. Finally, we present and motivate a rule for adjusting the parameters of DLM for all problem sizes, which we could not find for SOM.
For a solution of the visual correspondence problem we have modified the Self Organizing Map (SOM) to map image planes onto another in a neighborhood- and feature-preserving way. We have investigated the convergence speed of this SOM and Dynamic Link Matching (DLM) on a benchmark problem for the solution of which both algorithms are good candidates. We show that even after careful parameter adjustment the SOM needs a large number of simple update steps and DLM a small number of complicated ones. The results are consistent with an exponential vs. polynomial scaling behavior with increased pattern size. Finally, we present and motivate a rule for adjusting the parameters of DLM for all problem sizes, which we could not find for SOM.For a solution of the visual correspondence problem we have modified the Self Organizing Map (SOM) to map image planes onto another in a neighborhood- and feature-preserving way. We have investigated the convergence speed of this SOM and Dynamic Link Matching (DLM) on a benchmark problem for the solution of which both algorithms are good candidates. We show that even after careful parameter adjustment the SOM needs a large number of simple update steps and DLM a small number of complicated ones. The results are consistent with an exponential vs. polynomial scaling behavior with increased pattern size. Finally, we present and motivate a rule for adjusting the parameters of DLM for all problem sizes, which we could not find for SOM.
Author Behrmann, Kay-Ole
Konen, Wolfgang
Würtz, Rolf P
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Issue 1
Keywords Dynamic link matching
Correspondence problem
Symmetry recognition
Self-organizing map
Convergence speed
Complexity
Self organization
Maps
Theoretical study
Correspondence principle
Dynamic model
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Snippet For a solution of the visual correspondence problem we have modified the Self Organizing Map (SOM) to map image planes onto another in a neighborhood- and...
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SubjectTerms Algorithmics. Computability. Computer arithmetics
Applied sciences
Artificial intelligence
Complexity
Computer science; control theory; systems
Connectionism. Neural networks
Convergence speed
Correspondence problem
Dynamic link matching
Exact sciences and technology
Self-organizing map
Symmetry recognition
Theoretical computing
Title On the performance of neuronal matching algorithms
URI https://dx.doi.org/10.1016/S0893-6080(98)00112-9
https://cir.nii.ac.jp/crid/1570009749812420736
https://www.ncbi.nlm.nih.gov/pubmed/12662721
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