The Self-Organizing Field (Kohonen Maps)  

Oleh:

Santini, S.

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: IEEE Transactions on Neural Networks vol. 7 no. 6 (1996), page 1415-1423.
Topik: organizing; self - organizing; field

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: II36.1 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

Many of the properties of the well - known Kohonen map algorithm are not easily derivable from its discrete formulation. For instance, the “projection” implemented by the map from a high dimensional input space to a lower dimensional map space must be properly regarded as a projection from a smooth manifold to a lattice and, in this framework, some of its properties are not easily identified. This paper describes the self - organizing field : a continuous embedding of a smooth manifold (the map) into another (the input manifold) that implements a topological map by self - organization. The adaptation of the self - organizing field is governed by a set of differential equations analogous to the difference equations that determine weights updates in the Kohonen map. This paper derives several properties of the self - organizing field, and shows that the emergence of certain structures on the brain - like the columnar organization in the primary visual cortex - arise naturally in the new model.

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