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 in | Neural networks Vol. 12; no. 1; pp. 127 - 134 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
1999
Elsevier Science |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0893-6080 1879-2782 1879-2782 |
| DOI | 10.1016/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. |
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| 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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| Keywords | Dynamic link matching Correspondence problem Symmetry recognition Self-organizing map Convergence speed Complexity Self organization Maps Theoretical study Correspondence principle Dynamic model Link |
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IEEE doi: 10.1109/5.58325 – ident: 10.1016/S0893-6080(98)00112-9_BIB1 – volume: 22 start-page: 260 year: 1986 ident: 10.1016/S0893-6080(98)00112-9_BIB10 article-title: Learning symmetry groups with hidden units: beyond the perceptron publication-title: Physica D doi: 10.1016/0167-2789(86)90245-9 – ident: 10.1016/S0893-6080(98)00112-9_BIB6 doi: 10.1007/978-3-642-97966-8 |
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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 |
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