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APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
16 years 25 days ago
Hierarchy Theorems for Property Testing
Referring to the query complexity of property testing, we prove the existence of a rich hierarchy of corresponding complexity classes. That is, for any relevant function q, we prov...
Oded Goldreich, Michael Krivelevich, Ilan Newman, ...
SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
16 years 15 days ago
Localized Homology
In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
Afra Zomorodian, Gunnar Carlsson
GRC
2005
IEEE
15 years 12 months ago
Semantic based clustering of Web documents
Abstract. A new methodology that structures the semantics of a collection of documents into the geometry of a simplicial complex is developed. A simplicial complex is topologically...
Tsau Young Lin, I-Jen Chiang
COSIT
2003
Springer
133views GIS» more  COSIT 2003»
15 years 11 months ago
Convexity in Discrete Space
This paper looks at axioms for convexity, and shows how they can be applied to discrete spaces. Two structures for a discrete geometry are considered: oriented matroids, and cell c...
Anthony J. Roy, John G. Stell
PAKDD
2001
ACM
104views Data Mining» more  PAKDD 2001»
15 years 10 months ago
Optimizing the Induction of Alternating Decision Trees
The alternating decision tree brings comprehensibility to the performance enhancing capabilities of boosting. A single interpretable tree is induced wherein knowledge is distribute...
Bernhard Pfahringer, Geoffrey Holmes, Richard Kirk...