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» Characterizing Valiant's algebraic complexity classes
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JC
2008
92views more  JC 2008»
13 years 11 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
FCT
2009
Springer
14 years 5 months 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
CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 11 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
FOCS
2009
IEEE
14 years 6 months ago
A Complete Characterization of Statistical Query Learning with Applications to Evolvability
Statistical query (SQ) learning model of Kearns is a natural restriction of the PAC learning model in which a learning algorithm is allowed to obtain estimates of statistical prop...
Vitaly Feldman
ECCC
2010
89views more  ECCC 2010»
13 years 11 months ago
Estimating the unseen: A sublinear-sample canonical estimator of distributions
We introduce a new approach to characterizing the unobserved portion of a distribution, which provides sublinear-sample additive estimators for a class of properties that includes...
Gregory Valiant, Paul Valiant