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» The Arithmetical Complexity of Dimension and Randomness
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CORR
2000
Springer
134views Education» more  CORR 2000»
13 years 5 months ago
Learning Complexity Dimensions for a Continuous-Time Control System
This paper takes a computational learning theory approach to a problem of linear systems identification. It is assumed that inputs are generated randomly from a known class consist...
Pirkko Kuusela, Daniel Ocone, Eduardo D. Sontag
FOCS
1997
IEEE
13 years 9 months ago
Randomized and Deterministic Algorithms for the Dimension of Algebraic Varieties
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
Pascal Koiran
DCG
1998
59views more  DCG 1998»
13 years 5 months ago
A Probabilistic Analysis of the Power of Arithmetic Filters
The assumption of real-number arithmetic, which is at the basis of conventional geometric algorithms, has been seriously challenged in recent years, since digital computers do not...
Olivier Devillers, Franco P. Preparata
FOCS
2006
IEEE
13 years 11 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
CPC
2000
93views more  CPC 2000»
13 years 5 months ago
Fast Unimodular Counting
This paper describes methods for counting the number of non-negative integer solutions of the system Ax = b when A is a non-negative totally unimodular matrix and b an integral ve...
John Mount