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» On the Complexity of Function Learning
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COCO
1991
Springer
112views Algorithms» more  COCO 1991»
14 years 1 months ago
Randomized vs.Deterministic Decision Tree Complexity for Read-Once Boolean Functions
We consider the deterministic and the randomized decision tree complexities for Boolean functions, denoted DC(f) and RC(f), respectively. A major open problem is how small RC(f) ca...
Rafi Heiman, Avi Wigderson
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
14 years 1 months ago
On the Complexity of Boolean Functions in Different Characteristics
Every Boolean function on n variables can be expressed as a unique multivariate polynomial modulo p for every prime p. In this work, we study how the degree of a function in one c...
Parikshit Gopalan, Shachar Lovett, Amir Shpilka
FSS
2010
111views more  FSS 2010»
13 years 8 months ago
The geometry of consonant belief functions: Simplicial complexes of necessity measures
In this paper we extend the geometric approach to the theory of evidence in order to include the class of necessity measures, represented on a finite domain of “frame” by con...
Fabio Cuzzolin
POPL
2008
ACM
14 years 10 months ago
Lightweight semiformal time complexity analysis for purely functional data structures
Okasaki and others have demonstrated how purely functional data structures that are efficient even in the presence of persistence can be constructed. To achieve good time bounds e...
Nils Anders Danielsson
FSTTCS
2009
Springer
14 years 4 months ago
Non-Local Box Complexity and Secure Function Evaluation
ABSTRACT. A non-local box is an abstract device into which Alice and Bob input bits x and y respectively and receive outputs a and b respectively, where a, b are uniformly distribu...
Marc Kaplan, Iordanis Kerenidis, Sophie Laplante, ...