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APPROX
2010
Springer
148views Algorithms» more  APPROX 2010»
13 years 9 months ago
Learning and Lower Bounds for AC0 with Threshold Gates
In 2002 Jackson et al. [JKS02] asked whether AC0 circuits augmented with a threshold gate at the output can be efficiently learned from uniform random examples. We answer this ques...
Parikshit Gopalan, Rocco A. Servedio
CORR
2008
Springer
143views Education» more  CORR 2008»
13 years 7 months ago
Convergence Thresholds of Newton's Method for Monotone Polynomial Equations
Abstract. Monotone systems of polynomial equations (MSPEs) are systems of fixedpoint equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomia...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
FOCS
2003
IEEE
14 years 22 days ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
MOC
1998
74views more  MOC 1998»
13 years 7 months ago
Diameters of complete sets of conjugate algebraic integers of small degree
We give bounds for the coefficients of a polynomial as functions of the diameter of its roots, hence we obtain polynomials with minimal diameters and small degree
Michel Grandcolas
AUTOMATICA
2005
86views more  AUTOMATICA 2005»
13 years 7 months ago
Sensitivity shaping with degree constraint by nonlinear least-squares optimization
This paper presents a new approach to shaping of the frequency response of the sensitivity function. In this approach, a desired frequency response is assumed to be specified at a...
Ryozo Nagamune, Anders Blomqvist