Affine subspace clustering with nearest subspace neighbor

Author(s):  
Katsuya Hotta ◽  
Haoran Xie ◽  
Chao Zhang
Author(s):  
Bernhard M¨uhlherr ◽  
Holger P. Petersson ◽  
Richard M. Weiss

This chapter presents some results about groups generated by reflections and the standard metric on a Bruhat-Tits building. It begins with definitions relating to an affine subspace, an affine hyperplane, an affine span, an affine map, and an affine transformation. It then considers a notation stating that the convex closure of a subset a of X is the intersection of all convex sets containing a and another notation that denotes by AGL(X) the group of all affine transformations of X and by Trans(X) the set of all translations of X. It also describes Euclidean spaces and assumes that the real vector space X is of finite dimension n and that d is a Euclidean metric on X. Finally, it discusses Euclidean representations and the standard metric.


2012 ◽  
Vol 35 (10) ◽  
pp. 2116 ◽  
Author(s):  
Zhi-Sheng BI ◽  
Jia-Hai WANG ◽  
Jian YIN

Author(s):  
Guo ◽  
Xiaoqian Zhang ◽  
Zhigui Liu ◽  
Xuqian Xue ◽  
Qian Wang ◽  
...  

2021 ◽  
Author(s):  
Shuqin Wang ◽  
Yongyong Chen ◽  
Yigang Ce ◽  
Linna Zhang ◽  
Viacheslav Voronin

Author(s):  
Zhihua Cui ◽  
Xuechun Jing ◽  
Peng Zhao ◽  
Wensheng Zhang ◽  
Jinjun Chen

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