We consider the problem of embedding a metric into low-dimensional Euclidean space. The classical theorems of Bourgain, and of Johnson and Lindenstrauss say that any metric on n p...
For various 3D shape analysis tasks, the LaplaceBeltrami(LB) embedding has become increasingly popular as it enables the efficient comparison of shapes based on intrinsic geometry...
Rongjie Lai, Yonggang Shi, Kevin Scheibel, Scott F...
A low-distortion embedding between two metric spaces is a mapping which preserves the distances between each pair of points, up to a small factor called distortion. Low-distortion...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...
Social networks support efficient decentralized search: people can collectively construct short paths to a specified target in the network. Rank-based friendship—where the prob...
David Barbella, George Kachergis, David Liben-Nowe...
The min-sum k-clustering problem is to partition a metric space (P, d) into k clusters C1, . . . , Ck ⊆ P such that k i=1 p,q∈Ci d(p, q) is minimized. We show the first effi...