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» Elusive Functions and Lower Bounds for Arithmetic Circuits
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COCO
2010
Springer
149views Algorithms» more  COCO 2010»
13 years 9 months ago
Trade-Off Lower Bounds for Stack Machines
—A space bounded Stack Machine is a regular Turing Machine with a read-only input tape, several space bounded read-write work tapes, and an unbounded stack. Stack Machines with a...
Matei David, Periklis A. Papakonstantinou
ICALP
2009
Springer
14 years 7 months ago
Bounds on the Size of Small Depth Circuits for Approximating Majority
In this paper, we show that for every constant 0 < < 1/2 and for every constant d 2, the minimum size of a depth d Boolean circuit that -approximates Majority function on n ...
Kazuyuki Amano
DCC
2007
IEEE
14 years 7 months ago
Bounds on Redundancy in Constrained Delay Arithmetic Coding
We address the problem of a finite delay constraint in an arithmetic coding system. Due to the nature of the arithmetic coding process, source sequences causing arbitrarily large ...
Ofer Shayevitz, Eado Meron, Meir Feder, Ram Zamir
STOC
2003
ACM
110views Algorithms» more  STOC 2003»
14 years 7 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio
DATE
1999
IEEE
101views Hardware» more  DATE 1999»
13 years 11 months ago
Polynomial Methods for Allocating Complex Components
Methods for performing component matching by expressing an arithmetic specification and a bit-level description of an implementation as word-level polynomials have been demonstrat...
James Smith, Giovanni De Micheli