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Intenational Book Series
INFORMATION SCIENCE AND COMPUTING
BOOK 25
Mathematics of Distances and Applications

 

Pdf variant of the book can be received here.

 

Table of Contents

page
Front pages
Table of contents 5
Part 1: Theoretical Aspects of Mathematics of Distances
Differential geometry derived from divergence functions: information geometry approach
Shun-ichi Amari
9
Classification results for (v; k; 1) cyclic difference families with small parameters
Tsonka Baicheva, Svetlana Topalova
24
Logarithmic distances in graphs
Pavel Chebotarev
31
Cones of weighted quasimetrics, weighted quasihypermetrics and of oriented cuts
Michel Deza, Vyacheslav P. Grishukhin, Elena Deza
33
Cube-like polytopes and complexes
Andrew Duke, Egon Schulte
54
A brief survey of metrics in coding theory
Ernst Gabidulin
66
Regular inversive polytopes
Norman W. Johnson
85
Construction of geometric divergence on q-exponential family
Hiroshi Matsuzoe
96
Part 2: Applications of Mathematics of Distances
Metric based recommender systems
Ali Akhtarzada, Cristian S. Calude, John Hosking
103
Rank codes over Gaussian integers and space time block codes
Hafiz M. Asif, Ernst M. Gabidulin, Bahram Honary
118
Ultrametric Fechnerian scaling of discrete object sets
Hans Colonius, Ehtibar N. Dzhafarov
129
Symmetrization: ranking and clustering in protein interfaces
Giovanni Feverati, Claire Lesieur, Laurent Vuillon
133
Intervals as ultrametric approximations according to the supremum norm
Bernard Fichet
147
Distances on antimatroids
Yulia Kempner, Vadim E. Levit
148
Distance between objects described by predicate formulas
Tatiana Kosovskaya
153
On the discretization of distance geometry problems
Antonio Mucherino, Carlile Lavor, Leo Liberti, Nelson Maculan
160
Geometrical tools for alpha-Voronoi partitions
Atsumi Ohara and Yuya Nagatani
169
Metric tensor as degree of coherence in the dynamical organization of the central nervous system
Sisir Roy, Rodolfo Llinás
174
Hardware implementation of rank codec
Igor Y. Sysoev, Ernst M. Gabidulin
181