An improved LSI dimension reduction algorithm based on vector space modal

2012 ◽  
Author(s):  
Donghui Zhan ◽  
Hongjun Zhang ◽  
Wenning Hao ◽  
Gang Chen ◽  
Dawei Jin
Keyword(s):  
Vector Space ◽  
Dimension Reduction ◽  
Reduction Algorithm

scholarly journals Submodule of free Z-module

2013 ◽  
Vol 21 (4) ◽  
pp. 273-282 ◽  
Author(s):  
Yuichi Futa ◽  
Hiroyuki Okazaki ◽  
Yasunari Shidama
Keyword(s):  
Vector Space ◽  
Reduction Algorithm ◽  
Rational Field

Abstract In this article, we formalize a free Z-module and its property. In particular, we formalize the vector space of rational field corresponding to a free Z-module and prove formally that submodules of a free Z-module are free. Z-module is necassary for lattice problems - LLL (Lenstra, Lenstra and Lov´asz) base reduction algorithm and cryptographic systems with lattice [20]. Some theorems in this article are described by translating theorems in [11] into theorems of Z-module, however their proofs are different.

Text mining of news-headlines for FOREX market prediction: A Multi-layer Dimension Reduction Algorithm with semantics and sentiment

2015 ◽  
Vol 42 (1) ◽  
pp. 306-324 ◽  
Author(s):  
Arman Khadjeh Nassirtoussi ◽  
Saeed Aghabozorgi ◽  
Teh Ying Wah ◽  
David Chek Ling Ngo
Keyword(s):  
Text Mining ◽  
Dimension Reduction ◽  
Reduction Algorithm ◽  
News Headlines
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