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COCO
1997
Springer
144views Algorithms» more  COCO 1997»
15 years 2 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
CORR
2010
Springer
249views Education» more  CORR 2010»
14 years 10 months ago
Lower Bounds on Near Neighbor Search via Metric Expansion
In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we loo...
Rina Panigrahy, Kunal Talwar, Udi Wieder
COCO
2007
Springer
85views Algorithms» more  COCO 2007»
15 years 4 months ago
Norms, XOR Lemmas, and Lower Bounds for GF(2) Polynomials and Multiparty Protocols
This paper presents a unified and simple treatment of basic questions concerning two computational models: multiparty communication complexity and GF(2) polynomials. The key is t...
Emanuele Viola, Avi Wigderson
TOC
2008
94views more  TOC 2008»
14 years 10 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
LICS
2009
IEEE
15 years 4 months ago
An Improved Lower Bound for the Complementation of Rabin Automata
Automata on infinite words (ω-automata) have wide applications in formal language theory as well as in modeling and verifying reactive systems. Complementation of ωautomata is ...
Yang Cai, Ting Zhang, Haifeng Luo