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COMPGEOM
2006
ACM
14 years 1 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
CODES
2002
IEEE
14 years 12 days ago
Metrics for design space exploration of heterogeneous multiprocessor embedded systems
This paper considers the problem of designing heterogeneous multiprocessor embedded systems. The focus is on a step of the design flow: the definition of innovative metrics for th...
Donatella Sciuto, Fabio Salice, Luigi Pomante, Wil...
FOCS
1999
IEEE
13 years 11 months ago
Approximate Nearest Neighbor Algorithms for Hausdorff Metrics via Embeddings
Hausdorff metrics are used in geometric settings for measuring the distance between sets of points. They have been used extensively in areas such as computer vision, pattern recog...
Martin Farach-Colton, Piotr Indyk
SODA
2008
ACM
125views Algorithms» more  SODA 2008»
13 years 8 months ago
Ultra-low-dimensional embeddings for doubling metrics
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...
T.-H. Hubert Chan, Anupam Gupta, Kunal Talwar
FOCS
2005
IEEE
14 years 1 months ago
Metric Embeddings with Relaxed Guarantees
We consider the problem of embedding finite metrics with slack: we seek to produce embeddings with small dimension and distortion while allowing a (small) constant fraction of al...
Ittai Abraham, Yair Bartal, Hubert T.-H. Chan, Ked...