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» On the Complexity of Hilbert's 17th Problem
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FSTTCS
2004
Springer
13 years 10 months ago
On the Complexity of Hilbert's 17th Problem
Nikhil R. Devanur, Richard J. Lipton, Nisheeth K. ...
FOCM
2008
76views more  FOCM 2008»
13 years 4 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
SIAMCO
2002
70views more  SIAMCO 2002»
13 years 4 months ago
Lossless and Dissipative Distributed Systems
This paper deals with linear shift-invariant distributed systems. By this we mean systems described by constant coefficient linear partial differential equations. We define dissipa...
Harish K. Pillai, Jan C. Willems
ISAAC
2009
Springer
132views Algorithms» more  ISAAC 2009»
13 years 11 months ago
Hilbert's Thirteenth Problem and Circuit Complexity
We study the following question, communicated to us by Mikl´os Ajtai: Can all explicit (e.g., polynomial time computable) functions f : ({0, 1}w )3 → {0, 1}w be computed by word...
Kristoffer Arnsfelt Hansen, Oded Lachish, Peter Br...
IPL
2011
131views more  IPL 2011»
12 years 11 months ago
The regularized least squares algorithm and the problem of learning halfspaces
We provide sample complexity of the problem of learning halfspaces with monotonic noise, using the regularized least squares algorithm in the reproducing kernel Hilbert spaces (RKH...
Ha Quang Minh