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» Ultrametric Distance in Syntax
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TALG
2008
81views more  TALG 2008»
13 years 9 months ago
Ordinal embeddings of minimum relaxation: General properties, trees, and ultrametrics
We introduce a new notion of embedding, called minimum-relaxation ordinal embedding, parallel to the standard notion of minimum-distortion (metric) embedding. In an ordinal embedd...
Noga Alon, Mihai Badoiu, Erik D. Demaine, Martin F...
SODA
2007
ACM
106views Algorithms» more  SODA 2007»
13 years 11 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman
APPROX
2005
Springer
88views Algorithms» more  APPROX 2005»
14 years 3 months ago
Approximating the Best-Fit Tree Under Lp Norms
Abstract. We consider the problem of fitting an n × n distance matrix M by a tree metric T. We give a factor O(min{n1/p , (k log n)1/p }) approximation algorithm for finding the...
Boulos Harb, Sampath Kannan, Andrew McGregor
ICDM
2010
IEEE
198views Data Mining» more  ICDM 2010»
13 years 7 months ago
Hierarchical Ensemble Clustering
Ensemble clustering has emerged as an important elaboration of the classical clustering problems. Ensemble clustering refers to the situation in which a number of different (input)...
Li Zheng, Tao Li, Chris H. Q. Ding
NAACL
2010
13 years 7 months ago
A Direct Syntax-Driven Reordering Model for Phrase-Based Machine Translation
This paper presents a direct word reordering model with novel syntax-based features for statistical machine translation. Reordering models address the problem of reordering source...
Niyu Ge