On the optimality of the max-depth and max-rank classifiers for spherical data
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73605281" target="_blank" >RIV/61989592:15310/20:73605281 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.21136/AM.2020.0331-19" target="_blank" >https://link.springer.com/article/10.21136/AM.2020.0331-19</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2020.0331-19" target="_blank" >10.21136/AM.2020.0331-19</a>
Alternative languages
Result language
angličtina
Original language name
On the optimality of the max-depth and max-rank classifiers for spherical data
Original language description
The main goal of supervised learning is to construct a function from labeled training data which assigns arbitrary new data points to one of the labels. Classification tasks may be solved by using some measures of data point centrality with respect to the labeled groups considered. Such a measure of centrality is called data depth. In this paper, we investigate conditions under which depth-based classifiers for directional data are optimal. We show that such classifiers are equivalent to the Bayes (optimal) classifier when the considered distributions are rotationally symmetric, unimodal, differ only in location and have equal priors. The necessity of such assumptions is also discussed.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
—
Continuities
N - Vyzkumna aktivita podporovana z neverejnych zdroju
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of Mathematics
ISSN
0862-7940
e-ISSN
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Volume of the periodical
65
Issue of the periodical within the volume
3
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
12
Pages from-to
331-342
UT code for WoS article
000544260100009
EID of the result in the Scopus database
2-s2.0-85087051786