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» Computing Hilbert Class Polynomials
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IANDC
2006
83views more  IANDC 2006»
13 years 7 months ago
Implicit complexity over an arbitrary structure: Quantifier alternations
We provide machine-independent characterizations of some complexity classes, over an arbitrary structure, in the model of computation proposed by L. Blum, M. Shub and S. Smale. We...
Olivier Bournez, Felipe Cucker, Paulin Jacob&eacut...
STOC
1991
ACM
84views Algorithms» more  STOC 1991»
13 years 11 months ago
Self-Testing/Correcting for Polynomials and for Approximate Functions
The study of self-testing/correcting programs was introduced in [8] in order to allow one to use program P to compute function f without trusting that P works correctly. A self-te...
Peter Gemmell, Richard J. Lipton, Ronitt Rubinfeld...
JC
2008
92views more  JC 2008»
13 years 7 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
JMLR
2006
118views more  JMLR 2006»
13 years 7 months ago
Learning Factor Graphs in Polynomial Time and Sample Complexity
We study the computational and sample complexity of parameter and structure learning in graphical models. Our main result shows that the class of factor graphs with bounded degree...
Pieter Abbeel, Daphne Koller, Andrew Y. Ng
CSR
2007
Springer
14 years 1 months ago
Inverting Onto Functions and Polynomial Hierarchy
The class TFNP, defined by Megiddo and Papadimitriou, consists of multivalued functions with values that are polynomially verifiable and guaranteed to exist. Do we have evidence ...
Harry Buhrman, Lance Fortnow, Michal Koucký...