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Electronic Colloquium on Computational Complexity

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All reports by Author Gerhard J. Woeginger:

TR01-085 | 1st October 2001
Gerhard J. Woeginger

Resource augmentation for online bounded space bin packing

We study online bounded space bin packing in the resource
augmentation model of competitive analysis.
In this model, the online bounded space packing algorithm has
to pack a list L of items in (0,1] into a small number of
bins of size b>=1.
Its performance is measured by comparing the ... more >>>

TR01-084 | 1st October 2001
Gerhard J. Woeginger

When does a dynamic programming formulation guarantee the existence of an FPTAS?

We derive results of the following flavor:
If a combinatorial optimization problem can be formulated via a dynamic
program of a certain structure and if the involved cost and transition
functions satisfy certain arithmetical and structural conditions, then
the optimization problem automatically possesses a fully polynomial time
approximation scheme (FPTAS).

... more >>>

TR00-050 | 13th July 2000
Peter Auer, Philip M. Long, Gerhard J. Woeginger

On the Complexity of Function Learning

The majority of results in computational learning theory
are concerned with concept learning, i.e. with the special
case of function learning for classes of functions
with range {0,1}. Much less is known about the theory of
learning functions with a larger range such
as N or R. In ... more >>>

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