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» Proving Bounds on Real-Valued Functions with Computations
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STOC
1999
ACM
85views Algorithms» more  STOC 1999»
15 years 2 months ago
A Theorem on Sensitivity and Applications in Private Computation
In this paper we prove a theorem that gives an (almost) tight upper bound on the sensitivity of a multiple-output Boolean function in terms of the sensitivity of its coordinates an...
Anna Gál, Adi Rosén
DAGSTUHL
2007
14 years 11 months ago
Diagonal Circuit Identity Testing and Lower Bounds
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
Nitin Saxena
STOC
1993
ACM
141views Algorithms» more  STOC 1993»
15 years 2 months ago
Bounds for the computational power and learning complexity of analog neural nets
Abstract. It is shown that high-order feedforward neural nets of constant depth with piecewisepolynomial activation functions and arbitrary real weights can be simulated for Boolea...
Wolfgang Maass
ENTCS
2008
87views more  ENTCS 2008»
14 years 10 months ago
Integral of Fine Computable functions and Walsh Fourier series
We de ne the e ective integrability of Fine-computable functions and e ectivize some fundamental limit theorems in the theory of Lebesgue integral such as Bounded Convergence Theo...
Takakazu Mori, Mariko Yasugi, Yoshiki Tsujii
FCT
2005
Springer
15 years 3 months ago
On the Incompressibility of Monotone DNFs
We prove optimal lower bounds for multilinear circuits and for monotone circuits with bounded depth. These lower bounds state that, in order to compute certain functions, these cir...
Matthias P. Krieger