Geodesic
Cluster networks and Bruhat--Tits buildings
Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 2, pp. 234-244

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a clustering procedure in the case where a family of metrics is used instead of a fixed metric. In this case, a classification network (a directed acyclic graph with nondirected cycles) is obtained instead of a classification tree. We discuss the relation to Bruhat–Tits buildings and introduce the notion of the dimension of a general cluster network.
Keywords: clustering, cluster network, Bruhat–Tits building. 
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     author = {S. V. Kozyrev},
     title = {Cluster networks and {Bruhat--Tits} buildings},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {234--244},
     publisher = {mathdoc},
     volume = {180},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_180_2_a5/}
}
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S. V. Kozyrev. Cluster networks and Bruhat--Tits buildings. Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 2, pp. 234-244. http://geodesic.mathdoc.fr/item/TMF_2014_180_2_a5/