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» Algorithms for trigonometric polynomials
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122
Voted
STOC
2009
ACM
119views Algorithms» more  STOC 2009»
16 years 4 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka
WEA
2009
Springer
104views Algorithms» more  WEA 2009»
15 years 10 months ago
Univariate Algebraic Kernel and Application to Arrangements
We present a cgal-based univariate algebraic kernel, which provides certied real-root isolation of univariate polynomials with integer coecients and standard functionalities such...
Sylvain Lazard, Luis Mariano Peñaranda, Eli...
PKC
1999
Springer
96views Cryptology» more  PKC 1999»
15 years 8 months ago
How to Copyright a Function?
This paper introduces a method for tracking different copies of functionally equivalent algorithms containing identification marks known to the attacker. Unlike all previous solu...
David Naccache, Adi Shamir, Julien P. Stern
137
Voted
STOC
2007
ACM
133views Algorithms» more  STOC 2007»
16 years 4 months ago
Interpolation of depth-3 arithmetic circuits with two multiplication gates
In this paper we consider the problem of constructing a small arithmetic circuit for a polynomial for which we have oracle access. Our focus is on n-variate polynomials, over a fi...
Amir Shpilka
SIGMETRICS
2006
ACM
15 years 10 months ago
Optimizing transmission rate in wireless channels using adaptive probes
Abstract— We consider a wireless system with multiple channels where each channel is either on or off, and probing the state of any channel incurs a cost. We present a polynomial...
Sudipto Guha, Kamesh Munagala, Saswati Sarkar