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» On the Structure of Valiant's Complexity Classes
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JC
2008
92views more  JC 2008»
13 years 5 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
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
13 years 11 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod
FCT
2009
Springer
14 years 3 days ago
Small-Space Analogues of Valiant's Classes
In the uniform circuit model of computation, the width of a boolean circuit exactly characterises the “space” complexity of the computed function. Looking for a similar relatio...
Meena Mahajan, B. V. Raghavendra Rao
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