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» General Polynomial Time Decomposition Algorithms
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116
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AI
1999
Springer
15 years 7 days ago
Learning by Discovering Concept Hierarchies
We present a new machine learning method that, given a set of training examples, induces a definition of the target concept in terms of a hierarchy of intermediate concepts and th...
Blaz Zupan, Marko Bohanec, Janez Demsar, Ivan Brat...
RSA
2008
123views more  RSA 2008»
15 years 1 days ago
Generating unlabeled connected cubic planar graphs uniformly at random
We present an expected polynomial time algorithm to generate an unlabeled connected cubic planar graph uniformly at random. We first consider rooted connected cubic planar graphs, ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
79
Voted
ESA
2010
Springer
163views Algorithms» more  ESA 2010»
15 years 1 months ago
On the Huffman and Alphabetic Tree Problem with General Cost Functions
We study a wide generalization of two classical problems, the Huffman Tree and Alphabetic Tree Problem. We assume that the cost caused by the ith leaf is fi(di), where di is its d...
Hiroshi Fujiwara, Tobias Jacobs
DAGSTUHL
2007
15 years 2 months ago
Diagonal Circuit Identity Testing and Lower Bounds
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
Nitin Saxena
108
Voted
FOCS
1992
IEEE
15 years 4 months ago
Maximizing Non-Linear Concave Functions in Fixed Dimension
Consider a convex set P in IRd and a piecewise polynomial concave function F: P IR. Let A be an algorithm that given a point x IRd computes F(x) if x P, or returns a concave po...
Sivan Toledo