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» A Characterization of Constructive Dimension
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DM
2010
98views more  DM 2010»
14 years 12 months ago
Idomatic partitions of direct products of complete graphs
In this paper we give a full characterization of the idomatic partitions of the direct product of three complete graphs. We also show how to use such a characterization in order t...
Mario Valencia-Pabon
APAL
1999
70views more  APAL 1999»
14 years 11 months ago
A Geometric Consequence of Residual Smallness
We describe a new way to construct large subdirectly irreducibles within an equational class of algebras. We use this construction to show that there are forbidden geometries of m...
Keith A. Kearnes, Emil W. Kiss, Matthew Valeriote
CORR
2010
Springer
109views Education» more  CORR 2010»
14 years 12 months ago
Polynomial Learning of Distribution Families
Abstract--The question of polynomial learnability of probability distributions, particularly Gaussian mixture distributions, has recently received significant attention in theoreti...
Mikhail Belkin, Kaushik Sinha
SODA
1992
ACM
140views Algorithms» more  SODA 1992»
15 years 1 months ago
Separation and Approximation of Polyhedral Objects
Given a family of disjoint polygons P1, P2, : : :, Pk in the plane, and an integer parameter m, it is NP-complete to decide if the Pi's can be pairwise separated by a polygon...
Joseph S. B. Mitchell, Subhash Suri
VLDB
2007
ACM
174views Database» more  VLDB 2007»
16 years 3 days ago
An adaptive and dynamic dimensionality reduction method for high-dimensional indexing
Abstract The notorious "dimensionality curse" is a wellknown phenomenon for any multi-dimensional indexes attempting to scale up to high dimensions. One well-known approa...
Heng Tao Shen, Xiaofang Zhou, Aoying Zhou