Abstract
Lateral and elastic interactions are known to build a topology in different systems. We demonstrate how the models with weak lateral interactions can be reduced to the models with corresponding weak elastic interactions. Namely, the batch version of soft topology-preserving map can be rigorously reduced to the elastic net. Owing to the latter, both models produce similar behaviour when applied to the TSP. Unlike, the incremental (online) version of soft topology-preserving map is reduced to the cortical map only in the limit of low temperature, which makes their behaviours different when applied to the ocular dominance formation.
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Tereshko, V. (2007). Lateral and Elastic Interactions: Deriving One Form from Another. In: de Sá, J.M., Alexandre, L.A., Duch, W., Mandic, D. (eds) Artificial Neural Networks – ICANN 2007. ICANN 2007. Lecture Notes in Computer Science, vol 4669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74695-9_7
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DOI: https://doi.org/10.1007/978-3-540-74695-9_7
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