ML Anthology

Deformation Theory of the Dynamic Link Matching

Toru Aonishi, Koji Kurata
NeCo 1998 pp. 651-669
doi:10.1162/089976698300017692 /neco/1998/aonishi1998neco-deformation/

Abstract

Dynamic link matching is a self-organizing topographic mapping between a template image and a data image. The mapping tends to be continuous, linking two points sharing similar local features, which, as a result, can lead to its deformation to some degree. In analyzing such deformation mathematically, we reduced the model equation to a phase equation, which enabled us to clarify the principles of the deformation process and the relationship between high-dimensional models and low-dimensional ones. We also elucidated the characteristics of the model in the context of the standard regularization theory.

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Cite

Text

Aonishi and Kurata. "Deformation Theory of the Dynamic Link Matching." Neural Computation, 1998. doi:10.1162/089976698300017692

Markdown

[Aonishi and Kurata. "Deformation Theory of the Dynamic Link Matching." Neural Computation, 1998.](https://mlanthology.org/neco/1998/aonishi1998neco-deformation/) doi:10.1162/089976698300017692

BibTeX

@article{aonishi1998neco-deformation,
  title     = {{Deformation Theory of the Dynamic Link Matching}},
  author    = {Aonishi, Toru and Kurata, Koji},
  journal   = {Neural Computation},
  year      = {1998},
  pages     = {651-669},
  doi       = {10.1162/089976698300017692},
  volume    = {10},
  url       = {https://mlanthology.org/neco/1998/aonishi1998neco-deformation/}
}