The Duality of Similarity and Metric Spaces
We introduce a new mathematical basis for similarity space. For the first time, we describe the relationship between distance and similarity from set theory. Then, we derive generally valid relations for the conversion between similarity and a metric and vice versa. We present a general solution for...
Main Authors: | Ondřej Rozinek, Jan Mareš |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-02-01
|
Series: | Applied Sciences |
Subjects: | |
Online Access: | https://www.mdpi.com/2076-3417/11/4/1910 |
Similar Items
-
INFORMATIVE ENERGY METRIC FOR SIMILARITY MEASURE IN REPRODUCING KERNEL HILBERT SPACES
by: Songhua Liu, et al.
Published: (2012-02-01) -
Optimizing the spatial approximation tree from the root
by: Alejandro J. Gómez, et al.
Published: (2008-07-01) -
Efficient Similarity Search on Quasi-Metric Graphs
by: Tianming Zhang, et al.
Published: (2019-01-01) -
Spatial selection of sparse pivots for similarity search in metric spaces
by: Nieves Rodríguez Brisaboa, et al.
Published: (2007-03-01) -
User Similarity Determination in Social Networks
by: Sadia Tariq, et al.
Published: (2019-04-01)