✦ LIBER ✦

Self-organization property of Kohonen's map with general type of stimuli distribution

✍ Scribed by Ali A. Sadeghi

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 124 KB
Volume: 11
Category: Article
ISSN: 0893-6080
DOI: 10.1016/s0893-6080(98)00101-4

No coin nor oath required. For personal study only.

✦ Synopsis

Here the self-organization property of one-dimensional Kohonen's algorithm in its 2k ¹ neighbor setting with a general type of stimuli distribution and non-increasing learning rate is considered. A new definition of the winner is given, which coincides with the usual definition in implementations of the algorithm. We prove that the probability of self-organization for all initial weights of neurons is uniformly positive. For the special case of a constant learning rate, it implies that the algorithm self-organizes with probability one. The conditions imposed on the neighborhood function, stimuli distribution and learning rate are quite general.

📜 SIMILAR VOLUMES

Psychographic clustering of blood donors

Psychographic clustering of blood donors in Egypt using Kohonen's self-organizing maps

✍ Mohamed M. Mostafa 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 309 KB

Evaluation of the reliability of nonline

Evaluation of the reliability of nonlinear optimal solutions in pharmaceuticals using a bootstrap resampling technique in combination with Kohonen's self-organizing maps

✍ Yoshinori Onuki; Koichi Ohyama; Chosei Kaseda; Hiroaki Arai; Tatsuya Suzuki; Koz 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 377 KB

The response surface method incorporating multivariate spline interpolation (RSM-S) is a powerful technique for the formulation optimization of pharmaceuticals. However, no satisfactory method has been developed to evaluate the reliability of the optimal solution. We integrated bootstrap (BS) resamp

Dynamic generation of prototypes with se

Dynamic generation of prototypes with self-organizing feature maps for classifier design

✍ Arijit Laha; Nikhil R. Pal 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 161 KB

We propose a new scheme for designing a nearest-prototype classi"er using Kohonen's self-organizing feature map (SOFM). The net starts with the minimum number of prototypes which is equal to the number of classes. Then on the basis of the classi"cation performance, new prototypes are generated dynam

On the generalized A-quadratic mappings

On the generalized A-quadratic mappings associated with the variance of a discrete-type distribution

✍ Kil-Woung Jun; Hark-Mahn Kim 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 207 KB

In this paper, we prove the Hyers-Ulam-Rassias stability of the following generalized quadratic functional equation of Euler-Lagrange type n

Self-organization of chiral self-complem

Self-organization of chiral self-complementary europium complex with a new achiral tripod-type ligand: Synthesis and stereochemistry effects to complex luminescence properties

✍ Jiangrong Zheng; Nan Yang; Weisheng Liu; Kaibei Yu 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 292 KB

Solid complexes of europium picrate with the ligands: 2-(bis-dibutylcarbamoylmethyl-amino)-N,N-dibutyl-acetamid (L 1 ), 2-{bis-[(ethyl-phenyl-carbamoyl)-methyl]-amino}-N-ethyl-N-phenyl-acetamide (L 2 ) and 2-(bis-diethylcarbamoyl methyl-amino)-N,N-diethylacetamide (L 3 ) were prepared and characteri