Title
On Distance Mapping from non-Euclidean Spaces to Euclidean Spaces.
Abstract
Most Machine Learning techniques traditionally rely on some forms of Euclidean Distances, computed in a Euclidean space (typically R-d). In more general cases, data might not live in a classical Euclidean space, and it can be difficult (or impossible) to find a direct representation for it in R-d. Therefore, distance mapping from a non-Euclidean space to a canonical Euclidean space is essentially needed. We present in this paper a possible distance-mapping algorithm, such that the behavior of the pairwise distances in the mapped Euclidean space is preserved, compared to those in the original non-Euclidean space. Experimental results of the mapping algorithm are discussed on a specific type of datasets made of timestamped GPS coordinates. The comparison of the original and mapped distances, as well as the standard errors of the mapped distributions, are discussed.
Year
DOI
Venue
2017
10.1007/978-3-319-66808-6_1
Lecture Notes in Computer Science
DocType
Volume
ISSN
Conference
10410
0302-9743
Citations 
PageRank 
References 
0
0.34
0
Authors
6
Name
Order
Citations
PageRank
Wei Ren121421.37
Yoan Miche2105454.56
Ian Oliver300.68
Silke Holtmanns43410.66
Kaj-Mikael Björk514816.40
Amaury Lendasse61876126.03