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DAM
1998
61views more  DAM 1998»
13 years 7 months ago
On Trees and Noncrossing Partitions
We give a simple and natural proof of (an extension of) the identity P(k, l, n) = P2(k − 1, l − 1, n − 1). The number P(k, l, n) counts noncrossing partitions of {1, 2, . . ...
Martin Klazar
LPAR
2012
Springer
12 years 3 months ago
Querying Proofs
We motivate and introduce a query language PrQL designed for inspecting machine representations of proofs. PrQL natively supports hiproofs which express proof structure using hiera...
David Aspinall, Ewen Denney, Christoph Lüth
LPAR
2010
Springer
13 years 5 months ago
Automated Proof Compression by Invention of New Definitions
State-of-the-art automated theorem provers (ATPs) are today able to solve relatively complicated mathematical problems. But as ATPs become stronger and more used by mathematicians...
Jirí Vyskocil, David Stanovský, Jose...
CVPR
2008
IEEE
14 years 9 months ago
Learning stick-figure models using nonparametric Bayesian priors over trees
We present a fully probabilistic stick-figure model that uses a nonparametric Bayesian distribution over trees for its structure prior. Sticks are represented by nodes in a tree i...
Edward Meeds, David A. Ross, Richard S. Zemel, Sam...
CSDA
2004
81views more  CSDA 2004»
13 years 7 months ago
A note on split selection bias in classification trees
A common approach to split selection in classification trees is to search through all possible splits generated by predictor variables. A splitting criterion is then used to evalu...
Y.-S. Shih