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FOCM
2008
76views more  FOCM 2008»
13 years 9 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
STOC
2012
ACM
221views Algorithms» more  STOC 2012»
12 years 2 days ago
From query complexity to computational complexity
We consider submodular optimization problems, and provide a general way of translating oracle inapproximability results arising from the symmetry gap technique to computational co...
Shahar Dobzinski, Jan Vondrák
SAT
2004
Springer
99views Hardware» more  SAT 2004»
14 years 3 months ago
Mapping Problems with Finite-Domain Variables into Problems with Boolean Variables
We define a collection of mappings that transform many-valued clausal forms into satisfiability equivalent Boolean clausal forms, analyze their complexity and evaluate them empir...
Carlos Ansótegui, Felip Manyà
IPL
2011
131views more  IPL 2011»
13 years 4 months ago
The regularized least squares algorithm and the problem of learning halfspaces
We provide sample complexity of the problem of learning halfspaces with monotonic noise, using the regularized least squares algorithm in the reproducing kernel Hilbert spaces (RKH...
Ha Quang Minh
FCS
2007
13 years 11 months ago
The Complexity of Futile Questioning
Instances of the futile questioning problem abound in applications, especially, in the area of artificial intelligence. The problem can be represented by a particular quantified ...
Anja Remshagen, Klaus Truemper