Trees and Hierarchical Structures

Trees and Hierarchical Structures

Author: Andreas Dress

Publisher: Springer Science & Business Media

ISBN: 9783662106198

Category: Mathematics

Page: 140

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The "raison d'etre" of hierarchical dustering theory stems from one basic phe nomenon: This is the notorious non-transitivity of similarity relations. In spite of the fact that very often two objects may be quite similar to a third without being that similar to each other, one still wants to dassify objects according to their similarity. This should be achieved by grouping them into a hierarchy of non-overlapping dusters such that any two objects in ~ne duster appear to be more related to each other than they are to objects outside this duster. In everyday life, as well as in essentially every field of scientific investigation, there is an urge to reduce complexity by recognizing and establishing reasonable das sification schemes. Unfortunately, this is counterbalanced by the experience of seemingly unavoidable deadlocks caused by the existence of sequences of objects, each comparatively similar to the next, but the last rather different from the first.
Trees and Hierarchical Structures
Language: en
Pages: 140
Authors: Andreas Dress, Arndt van Haeseler
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

The "raison d'etre" of hierarchical dustering theory stems from one basic phe nomenon: This is the notorious non-transitivity of similarity relations. In spite of the fact that very often two objects may be quite similar to a third without being that similar to each other, one still wants to dassify
Systems Engineering
Language: en
Pages: 624
Authors: Andrew P. Sage
Categories: Technology & Engineering
Type: BOOK - Published: 1992-08-07 - Publisher: John Wiley & Sons

Addresses some fundamental considerations associated with the engineering of large scale systems. The first part deals with systems methodology, design and management including a detailed examination of operational and task level system quality assurance through configuration management, audits and reviews, standards and systems integration. The second part discusses a variety
Joe Celko's Trees and Hierarchies in SQL for Smarties
Language: en
Pages: 240
Authors: Joe Celko
Categories: Computers
Type: BOOK - Published: 2004-06-01 - Publisher: Elsevier

Joe Celko's Trees and Hierarchies in SQL is an intermediate to advanced-level practitioner’s guide to mastering the two most challenging aspects of developing database applications in SQL. In this book, Celko illustrates several major approaches to representing trees and hierarchies and related topics that should be of interest to the
Algorithms on Trees and Graphs
Language: en
Pages: 489
Authors: Gabriel Valiente
Categories: Computers
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

Graph algorithms is a well-established subject in mathematics and computer science. Beyond classical application fields, such as approximation, combinatorial optimization, graphics, and operations research, graph algorithms have recently attracted increased attention from computational molecular biology and computational chemistry. Centered around the fundamental issue of graph isomorphism, this text goes beyond
25 Years of Model Checking
Language: en
Pages: 234
Authors: Orna Grumberg, Helmut Veith
Categories: Computers
Type: BOOK - Published: 2008-07-03 - Publisher: Springer

Model checking technology is among the foremost applications of logic to computer science and computer engineering. The model checking community has achieved many breakthroughs, bridging the gap between theoretical computer science and hardware and software engineering, and it is reaching out to new challenging areas such as system biology and