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Laplacian Eigenmaps for Dimensionality Reduction and Data Representation

by Mikhail Belkin, Partha Niyogi , 2003
"... One of the central problems in machine learning and pattern recognition is to develop appropriate representations for complex data. We consider the problem of constructing a representation for data lying on a low-dimensional manifold embedded in a high-dimensional space. Drawing on the correspondenc ..."
Abstract - Cited by 1226 (15 self) - Add to MetaCart
One of the central problems in machine learning and pattern recognition is to develop appropriate representations for complex data. We consider the problem of constructing a representation for data lying on a low-dimensional manifold embedded in a high-dimensional space. Drawing

Nonlinear dimensionality reduction by locally linear embedding

by Sam T. Roweis, Lawrence K. Saul - SCIENCE , 2000
"... Many areas of science ..."
Abstract - Cited by 2416 (20 self) - Add to MetaCart
Many areas of science

Dimensionality Reduction

by Manoranjan Dash, Huan Liu
"... Dimensionality reduction studies methods that effectively reduce data dimensionality for efficient data process-ing tasks such as pattern recognition, machine learning, text retrieval, and data mining. We introduce the field of dimensionality reduction by dividing it into two parts: feature extracti ..."
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Dimensionality reduction studies methods that effectively reduce data dimensionality for efficient data process-ing tasks such as pattern recognition, machine learning, text retrieval, and data mining. We introduce the field of dimensionality reduction by dividing it into two parts: feature

Dimensional reduction of . . .

by Benjamin H. F. Jurke , 2008
"... (Anti-)self-dual instantons are only defined for gauge theories on four-dimensional base spaces. The notion of a gauge instanton can be generalized to dimensions greater than four in the presence of additional geometric structure like special holonomy. Conversely, one can consider the dimensional ..."
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reduction of such higher-dimensional instanton equations. In the particular case of an 8-dimensional Riemannian manifold M with Spin(7)-holonomy, the instanton equations require the vanishing of the curvature component contained in a 7-dimensional subbundle of Λ2T∗M. After a short review

A Dimensionality Reduction Technique

by Maurer Michael Lee, Michael Lee Maurer, Read Instructions, Michael Lee Maurer , 1980
"... A dimensionality reduction technique for enhancing information context. ..."
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A dimensionality reduction technique for enhancing information context.

Application of Dimensionality Reduction in Recommender System -- A Case Study

by Badrul M. Sarwar , George Karypis, Joseph A. Konstan, John T. Riedl - IN ACM WEBKDD WORKSHOP , 2000
"... We investigate the use of dimensionality reduction to improve performance for a new class of data analysis software called "recommender systems". Recommender systems apply knowledge discovery techniques to the problem of making product recommendations during a live customer interaction. T ..."
Abstract - Cited by 323 (14 self) - Add to MetaCart
We investigate the use of dimensionality reduction to improve performance for a new class of data analysis software called "recommender systems". Recommender systems apply knowledge discovery techniques to the problem of making product recommendations during a live customer interaction

Locally Adaptive Dimensionality Reduction for Indexing Large Time Series Databases

by Kaushik Chakrabarti, Eamonn Keogh, Sharad Mehrotra, Michael Pazzani - In proceedings of ACM SIGMOD Conference on Management of Data , 2002
"... Similarity search in large time series databases has attracted much research interest recently. It is a difficult problem because of the typically high dimensionality of the data.. The most promising solutions' involve performing dimensionality reduction on the data, then indexing the reduced d ..."
Abstract - Cited by 316 (33 self) - Add to MetaCart
Similarity search in large time series databases has attracted much research interest recently. It is a difficult problem because of the typically high dimensionality of the data.. The most promising solutions' involve performing dimensionality reduction on the data, then indexing the reduced

Dimensional Reduction

by Hamdi Zorgati
"... reduction for energies with linear growth involving the bending moment ..."
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reduction for energies with linear growth involving the bending moment

Dimensionality Reduction

by Jonathan M. Nichols, Frank Bucholtz, Photonics Technology Branch, Joseph V. Michalowicz , 2009
"... Prescribed by ANSI Std. Z39.18 Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collecti ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Prescribed by ANSI Std. Z39.18 Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway,

Dimensionality reduction for

by Carlos Guerrero-mosquera, Michel Verleysen, Carlos Guerrero-mosquera, Michel Verleysen, Angel Navia Vazquez , 2011
"... All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."
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All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.
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