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» Partitioning into Sets of Bounded Cardinality
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FOCS
2006
IEEE
14 years 1 months ago
Inclusion--Exclusion Algorithms for Counting Set Partitions
Given an n-element set U and a family of subsets S ⊆ 2U we show how to count the number of k-partitions S1 ∪ · · · ∪ Sk = U into subsets Si ∈ S in time 2nnO(1). The only...
Andreas Björklund, Thore Husfeldt
PAMI
2006
141views more  PAMI 2006»
13 years 7 months ago
Diffusion Maps and Coarse-Graining: A Unified Framework for Dimensionality Reduction, Graph Partitioning, and Data Set Parameter
We provide evidence that non-linear dimensionality reduction, clustering and data set parameterization can be solved within one and the same framework. The main idea is to define ...
Stéphane Lafon, Ann B. Lee
SIGMOD
2003
ACM
158views Database» more  SIGMOD 2003»
14 years 7 months ago
Processing Set Expressions over Continuous Update Streams
There is growing interest in algorithms for processing and querying continuous data streams (i.e., data that is seen only once in a fixed order) with limited memory resources. In ...
Sumit Ganguly, Minos N. Garofalakis, Rajeev Rastog...
IPL
2002
107views more  IPL 2002»
13 years 7 months ago
Binary space partitions for axis-parallel line segments: Size-height tradeoffs
We present worst-case lower bounds on the minimum size of a binary space partition (BSP) tree as a function of its height, for a set S of n axis-parallel line segments in the plan...
Sunil Arya
ORDER
2006
128views more  ORDER 2006»
13 years 7 months ago
Algebras Defined from Ordered Sets and the Varieties they Generate
We investigate ways of representing ordered sets as algebras and how the order relation is reflected in the algebraic properties of the variety (equational class) generated by the...
Joel Berman, Willem J. Blok