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» Interpolation in Valiant's theory
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CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 4 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
IJCAI
1989
13 years 6 months ago
A Critique of the Valiant Model
This paper considers the Valiant framework as it is applied to the task of learning logical concepts from random examples. It is argued that the current interpretation of this Val...
Wray L. Buntine
CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 5 months ago
A Theory for Valiant's Matchcircuits (Extended Abstract)
Angsheng Li, Mingji Xia
ICALP
2007
Springer
13 years 11 months ago
Holographic Algorithms: The Power of Dimensionality Resolved
Valiant’s theory of holographic algorithms is a novel methodology to achieve exponential speedups in computation. A fundamental parameter in holographic algorithms is the dimens...
Jin-yi Cai, Pinyan Lu
JC
2008
92views more  JC 2008»
13 years 4 months ago
Characterizing Valiant's algebraic complexity classes
Valiant introduced 20 years ago an algebraic complexity theory to study the complexity of polynomial families. The basic computation model used is the arithmetic circuit, which ma...
Guillaume Malod, Natacha Portier