2026-04-14T03:07:43Zhttps://recercat.cat/oai/request

oai:recercat.cat:10256/125612024-06-18T12:16:28Zcom_2072_452955com_2072_2054col_2072_453069

00925njm 22002777a 4500 dc Fort, Marta author Sellarès i Chiva, Joan Antoni author info:eu-repo/date/embargoEnd/2026-01-01 info:eu-repo/date/embargoEnd/2026-01-01 2016-09-20 The kth smallest dissimilarity of a query point with respect to a given set is the dissimilarity that ranks number k when we sort, in increasing order, the dissimilarity value of the points in the set with respect to the query point. A multiple kth smallest dissimilarity query determines the kth smallest dissimilarity for several query points simultaneously. Although the problem of solving multiple kth smallest dissimilarity queries is an important primitive operation used in many areas, such as spatial data analysis, facility location, text classification and content-based image retrieval, it has not been previously addressed explicitly in the literature. In this paper we present three parallel strategies, to be run on a Graphics Processing Unit, for computing multiple kth smallest dissimilarity queries when non-metric dissimilarities, that do not satisfy the triangular inequality, are used. The strategies are theoretically and experimentally analyzed and compared among them and with an efficient sequential strategy to solve the problem Work partially supported by the Spanish Ministerio de Economía y Competitividad under Grant TIN2014-52211-C2-2-R. We also gratefully acknowledge the support of NVIDIA Corporation with the donation of the Tesla K40 GPU used for this research http://hdl.handle.net/10256/12561 Infografia Computer graphics Sistemes d'ajuda a la decisió Decision support system Solving multiple kth smallest dissimilarity queries for non-metric dissimilarities with the GPU