A Review of Manifold Learning Algorithms

A Review of Manifold Learning Algorithms

碩士 === 國立臺灣大學 === 數學研究所 === 107 === Manifold learning algorithms are techniques utilized to reduce the dimen­ sion of data sets. These methods includes the nonlinear (implicit) ones, and the linear (projective) ones. Among the nonlinear are Laplacian eigenmaps and locally linear embeddings (LLE); an...

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Main Authors: Yi-Ping Huang, 黃毅平
Other Authors: Ai-Nung Wang
Format: Others
Language:en_US
Published: 2019
Online Access:http://ndltd.ncl.edu.tw/handle/rhb4m3
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spelling ndltd-TW-107NTU054790032019-11-16T05:27:58Z http://ndltd.ncl.edu.tw/handle/rhb4m3 A Review of Manifold Learning Algorithms 流形學習回顧 Yi-Ping Huang 黃毅平 碩士 國立臺灣大學 數學研究所 107 Manifold learning algorithms are techniques utilized to reduce the dimen­ sion of data sets. These methods includes the nonlinear (implicit) ones, and the linear (projective) ones. Among the nonlinear are Laplacian eigenmaps and locally linear embeddings (LLE); and among the linear are metric multi­ dimensional scaling (MDS), ISOMAP, locally preserving projections (LPP) and derivatives of them. All these methods give rise to trace minimization problems and, as a result, eigenvalue problems. We give a common frame­ work for them and discuss their relationships. Ai-Nung Wang 王藹農 2019 學位論文 ; thesis 43 en_US
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language en_US
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description 碩士 === 國立臺灣大學 === 數學研究所 === 107 === Manifold learning algorithms are techniques utilized to reduce the dimen­ sion of data sets. These methods includes the nonlinear (implicit) ones, and the linear (projective) ones. Among the nonlinear are Laplacian eigenmaps and locally linear embeddings (LLE); and among the linear are metric multi­ dimensional scaling (MDS), ISOMAP, locally preserving projections (LPP) and derivatives of them. All these methods give rise to trace minimization problems and, as a result, eigenvalue problems. We give a common frame­ work for them and discuss their relationships.
author2 Ai-Nung Wang
author_facet Ai-Nung Wang
Yi-Ping Huang
黃毅平
author Yi-Ping Huang
黃毅平
spellingShingle Yi-Ping Huang
黃毅平
A Review of Manifold Learning Algorithms
author_sort Yi-Ping Huang
title A Review of Manifold Learning Algorithms
title_short A Review of Manifold Learning Algorithms
title_full A Review of Manifold Learning Algorithms
title_fullStr A Review of Manifold Learning Algorithms
title_full_unstemmed A Review of Manifold Learning Algorithms
title_sort review of manifold learning algorithms
publishDate 2019
url http://ndltd.ncl.edu.tw/handle/rhb4m3
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