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» An Algorithmic Hypergraph Regularity Lemma
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COCO
2010
Springer
144views Algorithms» more  COCO 2010»
13 years 9 months ago
A Regularity Lemma, and Low-Weight Approximators, for Low-Degree Polynomial Threshold Functions
We give a “regularity lemma” for degree-d polynomial threshold functions (PTFs) over the Boolean cube {−1, 1}n . Roughly speaking, this result shows that every degree-d PTF ...
Ilias Diakonikolas, Rocco A. Servedio, Li-Yang Tan...
COCOON
2007
Springer
13 years 11 months ago
Can a Graph Have Distinct Regular Partitions?
The regularity lemma of Szemer´edi gives a concise approximate description of a graph via a so called regular-partition of its vertex set. In this paper we address the following ...
Noga Alon, Asaf Shapira, Uri Stav
ICML
2005
IEEE
14 years 6 months ago
Propagating distributions on a hypergraph by dual information regularization
In the information regularization framework by Corduneanu and Jaakkola (2005), the distributions of labels are propagated on a hypergraph for semi-supervised learning. The learnin...
Koji Tsuda
DAM
2007
79views more  DAM 2007»
13 years 5 months ago
Recognizing splicing languages: Syntactic monoids and simultaneous pumping
We use syntactic monoid methods, together with an enhanced pumping lemma, to investigate the structure of splicing languages. We obtain an algorithm for deciding whether a regular...
Elizabeth Goode, Dennis Pixton
ESA
2009
Springer
107views Algorithms» more  ESA 2009»
14 years 6 days ago
Disproof of the Neighborhood Conjecture with Implications to SAT
We study a special class of binary trees. Our results have implications on Maker/Breaker games and SAT: We disprove a conjecture of Beck on positional games and construct an unsati...
Heidi Gebauer