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COMPGEOM
2008
ACM
13 years 11 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
DAGSTUHL
2007
13 years 11 months ago
Sampling-based Approximation Algorithms for Multi-stage Stochastic Optimization
Stochastic optimization problems provide a means to model uncertainty in the input data where the uncertainty is modeled by a probability distribution over the possible realizatio...
Chaitanya Swamy, David B. Shmoys
SODA
2008
ACM
86views Algorithms» more  SODA 2008»
13 years 11 months ago
Parallel monotonicity reconstruction
We investigate the problem of monotonicity reconstruction, as defined in [3], in a parallel setting. We have oracle access to a nonnegative real-valued function f defined on domai...
Michael E. Saks, C. Seshadhri
SODA
2000
ACM
127views Algorithms» more  SODA 2000»
13 years 11 months ago
Dimensionality reduction techniques for proximity problems
In this paper we give approximation algorithms for several proximity problems in high dimensional spaces. In particular, we give the rst Las Vegas data structure for (1 + )-neares...
Piotr Indyk
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 9 months ago
On Extractors and Exposure-Resilient Functions for Sublogarithmic Entropy
We study deterministic extractors for bit-fixing sources (a.k.a. resilient functions) and exposure-resilient functions for small min-entropy. That is, of the n bits given as input...
Yakir Reshef, Salil P. Vadhan