Manifold construction based on local distance invariance

This paper presents a distance invariant manifold that preserves the neighborhood relations among data patterns. All patterns have their corresponding cells in the manifold space. The constellation of neighborhood cells closely resembles that of patterns. The manifold is invariant under the translat...

Descripción completa

Detalles Bibliográficos
Autores principales: Cheng, Wei-Chen, Liou, Cheng-Yuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer-Verlag 2010
Materias:
Special Issue - Regular Research Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7091362/
https://www.ncbi.nlm.nih.gov/pubmed/32218874
http://dx.doi.org/10.1007/s12293-009-0030-y
_version_ 1783510008783175680
author Cheng, Wei-Chen
Liou, Cheng-Yuan
author_facet Cheng, Wei-Chen
Liou, Cheng-Yuan
author_sort Cheng, Wei-Chen
collection PubMed
description This paper presents a distance invariant manifold that preserves the neighborhood relations among data patterns. All patterns have their corresponding cells in the manifold space. The constellation of neighborhood cells closely resembles that of patterns. The manifold is invariant under the translation, rotation and scale of the pattern coordinates. The neighborhood relations among cells are adjusted and improved in each iteration according to the reduction of the distance preservation energy.
format Online
Article
Text
id pubmed-7091362
institution National Center for Biotechnology Information
language English
publishDate 2010
publisher Springer-Verlag
record_format MEDLINE/PubMed
spelling pubmed-70913622020-03-24 Manifold construction based on local distance invariance Cheng, Wei-Chen Liou, Cheng-Yuan Memet Comput Special Issue - Regular Research Paper This paper presents a distance invariant manifold that preserves the neighborhood relations among data patterns. All patterns have their corresponding cells in the manifold space. The constellation of neighborhood cells closely resembles that of patterns. The manifold is invariant under the translation, rotation and scale of the pattern coordinates. The neighborhood relations among cells are adjusted and improved in each iteration according to the reduction of the distance preservation energy. Springer-Verlag 2010-02-11 2010 /pmc/articles/PMC7091362/ /pubmed/32218874 http://dx.doi.org/10.1007/s12293-009-0030-y Text en © Springer-Verlag 2010 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Special Issue - Regular Research Paper
Cheng, Wei-Chen
Liou, Cheng-Yuan
Manifold construction based on local distance invariance
title Manifold construction based on local distance invariance
title_full Manifold construction based on local distance invariance
title_fullStr Manifold construction based on local distance invariance
title_full_unstemmed Manifold construction based on local distance invariance
title_short Manifold construction based on local distance invariance
title_sort manifold construction based on local distance invariance
topic Special Issue - Regular Research Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7091362/
https://www.ncbi.nlm.nih.gov/pubmed/32218874
http://dx.doi.org/10.1007/s12293-009-0030-y
work_keys_str_mv AT chengweichen manifoldconstructionbasedonlocaldistanceinvariance
AT liouchengyuan manifoldconstructionbasedonlocaldistanceinvariance

Ejemplares similares