TY - GEN
T1 - Data science
T2 - 5th RAAI Summer School on Artificial Intelligence, 2019
AU - Batyrshin, Ildar Z.
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019
Y1 - 2019
N2 - The lecture presents a new, non-statistical approach to the analysis and construction of similarity, dissimilarity and correlation measures. The measures are considered as functions defined on an underlying set and satisfying the given properties. Different functional structures, relationships between them and methods of their construction are discussed. Particular attention is paid to functions defined on sets with an involution operation, where the class of (strong) correlation functions is introduced. The general methods constructing new correlation functions from similarity and dissimilarity functions are considered. It is shown that the classical correlation and association coefficients (Pearson’s, Spearman’s, Kendall’s, Yule’s Q, Hamann) can be obtained as particular cases.
AB - The lecture presents a new, non-statistical approach to the analysis and construction of similarity, dissimilarity and correlation measures. The measures are considered as functions defined on an underlying set and satisfying the given properties. Different functional structures, relationships between them and methods of their construction are discussed. Particular attention is paid to functions defined on sets with an involution operation, where the class of (strong) correlation functions is introduced. The general methods constructing new correlation functions from similarity and dissimilarity functions are considered. It is shown that the classical correlation and association coefficients (Pearson’s, Spearman’s, Kendall’s, Yule’s Q, Hamann) can be obtained as particular cases.
KW - Kendall’s rank correlation
KW - Pearson’s product-moment correlation
KW - Similarity measure
KW - Spearman’s rank correlation
KW - Yule’s Q
UR - http://www.scopus.com/inward/record.url?scp=85076106679&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-33274-7_2
DO - 10.1007/978-3-030-33274-7_2
M3 - Contribución a la conferencia
AN - SCOPUS:85076106679
SN - 9783030332730
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 13
EP - 28
BT - Artificial Intelligence - 5th RAAI Summer School, 2019, Tutorial Lectures
A2 - Osipov, Gennady S.
A2 - Panov, Aleksandr I.
A2 - Yakovlev, Konstantin S.
PB - Springer
Y2 - 4 July 2019 through 7 July 2019
ER -