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» Polynomial Vicinity Circuits and Nonlinear Lower Bounds
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EUROCOLT
1997
Springer
13 years 11 months ago
Vapnik-Chervonenkis Dimension of Recurrent Neural Networks
Most of the work on the Vapnik-Chervonenkis dimension of neural networks has been focused on feedforward networks. However, recurrent networks are also widely used in learning app...
Pascal Koiran, Eduardo D. Sontag
FOCS
2009
IEEE
14 years 2 months ago
Linear Systems over Composite Moduli
We study solution sets to systems of generalized linear equations of the form ℓi(x1, x2, · · · , xn) ∈ Ai (mod m) where ℓ1, . . . , ℓt are linear forms in n Boolean var...
Arkadev Chattopadhyay, Avi Wigderson
APPROX
2009
Springer
112views Algorithms» more  APPROX 2009»
14 years 2 months ago
Deterministic Approximation Algorithms for the Nearest Codeword Problem
The Nearest Codeword Problem (NCP) is a basic algorithmic question in the theory of error-correcting codes. Given a point v ∈ Fn 2 and a linear space L ⊆ Fn 2 of dimension k NC...
Noga Alon, Rina Panigrahy, Sergey Yekhanin
SAC
2008
ACM
13 years 7 months ago
Local linear regression with adaptive orthogonal fitting for the wind power application
For short-term forecasting of wind generation, a necessary step is to model the function for the conversion of meteorological variables (mainly wind speed) to power production. Su...
Pierre Pinson, Henrik Aalborg Nielsen, Henrik Mads...
LATIN
2004
Springer
14 years 1 months ago
Approximating the Expressive Power of Logics in Finite Models
Abstract. We present a probability logic (essentially a first order language extended with quantifiers that count the fraction of elements in a model that satisfy a first order ...
Argimiro Arratia, Carlos E. Ortiz