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» Complexity Dimensions and Learnability
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IWPEC
2009
Springer
15 years 9 months ago
The Parameterized Complexity of Some Geometric Problems in Unbounded Dimension
We study the parameterized complexity of the following fundamental geometric problems with respect to the dimension d: i) Given n points in Rd, compute their minimum enclosing cyl...
Panos Giannopoulos, Christian Knauer, Günter ...
110
Voted
ECBS
1996
IEEE
93views Hardware» more  ECBS 1996»
15 years 6 months ago
A Methodology for Designing and Dimensioning Critical Complex Computing Systems
It is widely recognized that real-time,fault-tolerant and distributed computing technologies play a key role in the deployment of many current andfuture (civilian or Defense) crit...
Gérard Le Lann
COCO
2001
Springer
142views Algorithms» more  COCO 2001»
15 years 7 months ago
On the Complexity of Approximating the VC Dimension
We study the complexity of approximating the VC dimension of a collection of sets, when the sets are encoded succinctly by a small circuit. We show that this problem is • Σp 3-...
Elchanan Mossel, Christopher Umans
149
Voted
ALT
2010
Springer
15 years 2 months ago
Recursive Teaching Dimension, Learning Complexity, and Maximum Classes
This paper is concerned with the combinatorial structure of concept classes that can be learned from a small number of examples. We show that the recently introduced notion of recu...
Thorsten Doliwa, Hans-Ulrich Simon, Sandra Zilles
COMPGEOM
2010
ACM
15 years 7 months ago
On the complexity of sets of free lines and line segments among balls in three dimensions
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Marc Glisse, Sylvain Lazard