most citedFast Construction of Nets in Low Dimensional Metrics, and Their Applications

272 citations · 652 across the 10 of their papers we have counts for

collaborators

10 papers

cs.DS200472 cited

Measured descent: A new embedding method for finite metrics

Robert Krauthgamer, James R. Lee, Manor Mendel +1

We devise a new embedding technique, which we call measured descent, based on decomposing a metric space locally, at varying speeds, according to the density of some probability me…

cs.DS2004272 cited

Fast Construction of Nets in Low Dimensional Metrics, and Their Applications

Sariel Har-Peled, Manor Mendel

We present a near linear time algorithm for constructing hierarchical nets in finite metric spaces with constant doubling dimension. This data-structure is then applied to obtain i…

cs.DS20049 cited

Multi-Embedding of Metric Spaces

Yair Bartal, Manor Mendel

Metric embedding has become a common technique in the design of algorithms. Its applicability is often dependent on how high the embedding's distortion is. For example, embedding f…

math.MG200454 cited

Metric structures in L_1: Dimension, snowflakes, and average distortion

James R. Lee, Manor Mendel, Assaf Naor

We study the metric properties of finite subsets of L_1. The analysis of such metrics is central to a number of important algorithmic problems involving the cut structure of weight…

math.CO20046 cited

On Metric Ramsey-type Dichotomies

Yair Bartal, Nathan Linial, Manor Mendel +1

The classical Ramsey theorem, states that every graph contains either a large clique or a large independent set. Here we investigate similar dichotomic phenomena in the context of…

cs.DS200417 cited

Online Companion Caching

Manor Mendel, Steven S. Seiden

This paper is concerned with online caching algorithms for the (n,k)-companion cache, defined by Brehob et. al. In this model the cache is composed of two components: a k-way set-a…