Quasiorthogonal dimension
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F20%3A00482536" target="_blank" >RIV/67985807:_____/20:00482536 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-31041-7_35" target="_blank" >http://dx.doi.org/10.1007/978-3-030-31041-7_35</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-31041-7_35" target="_blank" >10.1007/978-3-030-31041-7_35</a>
Alternative languages
Result language
angličtina
Original language name
Quasiorthogonal dimension
Original language description
An interval approach to the concept of dimension is presented. The concept of quasiorthogonal dimension is obtained by relaxing exact orthogonality so that angular distances between unit vectors are constrained to a fixed closed symmetric interval about pi/2. An exponential number of such quasiorthogonal vectors exist as the Euclidean dimension increases. Lower bounds on quasiorthogonal dimension are proven using geometry of high-dimensional spaces and a separate argument is given utilizing graph theory. Related notions are reviewed.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA19-05704S" target="_blank" >GA19-05704S: FoNeCo: Analytical Foundations of Neurocomputing</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy, etc. Methods and Their Applications
ISBN
978-3-030-31040-0
Number of pages of the result
15
Pages from-to
615-629
Number of pages of the book
649
Publisher name
Springer
Place of publication
Cham
UT code for WoS chapter
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