A probabilistic algorithm for global optimization problems with a dimensionality reduction technique

2005 ◽  
pp. 36-42 ◽  
Author(s):  
Francesco Archetti
Keyword(s):  
Global Optimization ◽  
Dimensionality Reduction ◽  
Optimization Problems ◽  
Reduction Technique ◽  
Probabilistic Algorithm ◽  
Dimensionality Reduction Technique

scholarly journals Dimensionality Reduction by Weighted Connections between Neighborhoods

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Fuding Xie ◽  
Yutao Fan ◽  
Ming Zhou
Keyword(s):  
Dimensionality Reduction ◽  
Dimensional Space ◽  
High Dimensional Data ◽  
Reduction Technique ◽  
Experimental Results ◽  
High Dimensional ◽  
Reduced Dimensionality ◽  
Dimensionality Reduction Technique ◽  
Low Dimensionality ◽  
Local Topology

Dimensionality reduction is the transformation of high-dimensional data into a meaningful representation of reduced dimensionality. This paper introduces a dimensionality reduction technique by weighted connections between neighborhoods to improveK-Isomap method, attempting to preserve perfectly the relationships between neighborhoods in the process of dimensionality reduction. The validity of the proposal is tested by three typical examples which are widely employed in the algorithms based on manifold. The experimental results show that the local topology nature of dataset is preserved well while transforming dataset in high-dimensional space into a new dataset in low-dimensionality by the proposed method.

A dimensionality reduction technique for 2D scattering problems in photonics

2010 ◽  
Vol 12 (3) ◽  
pp. 035502 ◽  
Author(s):  
O V (Alyona) Ivanova ◽  
Remco Stoffer ◽  
Manfred Hammer
Keyword(s):  
Dimensionality Reduction ◽  
Reduction Technique ◽  
Scattering Problems ◽  
Dimensionality Reduction Technique
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