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NN
1998
Springer
148views Neural Networks» more  NN 1998»
14 years 11 months ago
ARTMAP-IC and medical diagnosis: Instance counting and inconsistent cases
For complex database prediction problems such as medical diagnosis, the ARTMAP-IC neural network adds distributed prediction and category instance counting to the basic fuzzy ARTM...
Gail A. Carpenter, Natalya Markuzon
FOCS
2007
IEEE
15 years 6 months ago
Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting
We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our wo...
Daniel Stefankovic, Santosh Vempala, Eric Vigoda
ARSCOM
2008
117views more  ARSCOM 2008»
14 years 12 months ago
Subset Counting in Trees
Various enumeration problems for classes of simply generated families of trees have been the object of investigation in the past. We mention the enumeration of independent subsets,...
Stephan G. Wagner
JCT
1998
122views more  JCT 1998»
14 years 11 months ago
Counting 1-Factors in Regular Bipartite Graphs
We show that any k-regular bipartite graph with 2n vertices has at least ((k−1)k−1 kk−2 )n perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent...
Alexander Schrijver
IWPEC
2009
Springer
15 years 6 months ago
Partitioning into Sets of Bounded Cardinality
Abstract. We show that the partitions of an n-element set into k members of a given set family can be counted in time O((2− )n ), where > 0 depends only on the maximum size am...
Mikko Koivisto