TY - GEN
T1 - On undecided LP, clustering and active learning
AU - Ashur, Stav
AU - Har-Peled, Sariel
N1 - Publisher Copyright:
© Stav Ashur and Sariel Har-Peled; licensed under Creative Commons License CC-BY 4.0 37th International Symposium on Computational Geometry (SoCG 2021).
PY - 2021/6/1
Y1 - 2021/6/1
N2 - We study colored coverage and clustering problems. Here, we are given a colored point set, where the points are covered by k (unknown) clusters, which are monochromatic (i.e., all the points covered by the same cluster have the same color). The access to the colors of the points (or even the points themselves) is provided indirectly via various oracle queries (such as nearest neighbor, or separation queries). We show that one can correctly deduce the color of all the points (i.e., compute a monochromatic clustering of the points) using a polylogarithmic number of queries, if the number of clusters is a constant. We investigate several variants of this problem, including Undecided Linear Programming and covering of points by k monochromatic balls.
AB - We study colored coverage and clustering problems. Here, we are given a colored point set, where the points are covered by k (unknown) clusters, which are monochromatic (i.e., all the points covered by the same cluster have the same color). The access to the colors of the points (or even the points themselves) is provided indirectly via various oracle queries (such as nearest neighbor, or separation queries). We show that one can correctly deduce the color of all the points (i.e., compute a monochromatic clustering of the points) using a polylogarithmic number of queries, if the number of clusters is a constant. We investigate several variants of this problem, including Undecided Linear Programming and covering of points by k monochromatic balls.
KW - Active learning
KW - Classification
KW - Linear programming
UR - http://www.scopus.com/inward/record.url?scp=85108187065&partnerID=8YFLogxK
U2 - 10.4230/LIPIcs.SoCG.2021.12
DO - 10.4230/LIPIcs.SoCG.2021.12
M3 - Conference contribution
AN - SCOPUS:85108187065
T3 - Leibniz International Proceedings in Informatics, LIPIcs
BT - 37th International Symposium on Computational Geometry, SoCG 2021
A2 - Buchin, Kevin
A2 - de Verdiere, Eric Colin
PB - Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
T2 - 37th International Symposium on Computational Geometry, SoCG 2021
Y2 - 7 June 2021 through 11 June 2021
ER -