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IPPS
1998
IEEE
13 years 11 months ago
Processor Lower Bound Formulas for Array Computations and Parametric Diophantine Systems
Using a directed acyclic graph (dag) model of algorithms, we solve a problem related to precedenceconstrained multiprocessor schedules for array computations: Given a sequence of ...
Peter R. Cappello, Ömer Egecioglu
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
13 years 11 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
STOC
2004
ACM
177views Algorithms» more  STOC 2004»
14 years 7 months ago
Lower bounds for linear degeneracy testing
Abstract. In the late nineties, Erickson proved a remarkable lower bound on the decision tree complexity of one of the central problems of computational geometry: given n numbers, ...
Nir Ailon, Bernard Chazelle
ICALP
2007
Springer
14 years 1 months ago
Lower Bounds for Quantile Estimation in Random-Order and Multi-pass Streaming
We present lower bounds on the space required to estimate the quantiles of a stream of numerical values. Quantile estimation is perhaps the most studied problem in the data stream ...
Sudipto Guha, Andrew McGregor
ECCC
2011
188views ECommerce» more  ECCC 2011»
13 years 2 months ago
Three Query Locally Decodable Codes with Higher Correctness Require Exponential Length
Locally decodable codes are error correcting codes with the extra property that, in order to retrieve the correct value of just one position of the input with high probability, it...
Anna Gál, Andrew Mills