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» A note on circuit lower bounds from derandomization
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COCO
2005
Springer
128views Algorithms» more  COCO 2005»
14 years 2 months ago
More on Noncommutative Polynomial Identity Testing
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...
Andrej Bogdanov, Hoeteck Wee
STOC
2009
ACM
120views Algorithms» more  STOC 2009»
14 years 9 months ago
Bit-probe lower bounds for succinct data structures
We prove lower bounds on the redundancy necessary to represent a set S of objects using a number of bits close to the information-theoretic minimum log2 |S|, while answering vario...
Emanuele Viola
PODS
2005
ACM
164views Database» more  PODS 2005»
14 years 8 months ago
Lower bounds for sorting with few random accesses to external memory
We consider a scenario where we want to query a large dataset that is stored in external memory and does not fit into main memory. The most constrained resources in such a situati...
Martin Grohe, Nicole Schweikardt
TOC
2008
94views more  TOC 2008»
13 years 8 months ago
Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector prob
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
Miklós Ajtai
IPL
2007
111views more  IPL 2007»
13 years 8 months ago
Powering requires threshold depth 3
We study the circuit complexity of the powering function, defined as POWm(Z) = Zm for an n-bit integer input Z and an integer exponent m poly(n). Let LTd denote the class of func...
Alexander A. Sherstov