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10,853
Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
, 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
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Cited by 1226 (15 self)
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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
- SCIENCE
, 2000
"... Many areas of science ..."
Dimensionality Reduction
"... 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 ..."
Abstract
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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 . . .
, 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 ..."
Abstract
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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
, 1980
"... A dimensionality reduction technique for enhancing information context. ..."
Application of Dimensionality Reduction in Recommender System -- A Case Study
- 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
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Cited by 323 (14 self)
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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
- 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
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Cited by 316 (33 self)
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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
"... reduction for energies with linear growth involving the bending moment ..."
Dimensionality Reduction
, 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
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Cited by 1 (0 self)
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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
, 2011
"... All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."
Abstract
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All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.
Results 1 - 10
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10,853