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AML
2004
54views more  AML 2004»
13 years 6 months ago
Imaginaries in Hilbert spaces
We characterise imaginaries (up to interdefinability) in Hilbert spaces using a Galois theory for compact unitary groups.
Itay Ben-Yaacov, Alexander Berenstein
ISSAC
1989
Springer
87views Mathematics» more  ISSAC 1989»
13 years 11 months ago
An Improved Las Vegas Primality Test
: We present a modification of the Goldwasser-Kilian-Atkin primality test, which, when given an input n, outputs either prime or composite, along with a certificate of correctnes...
Erich Kaltofen, T. Valente, Norika Yui
COCOON
1998
Springer
13 years 11 months ago
On Multi-dimensional Hilbert Indexings
Indexing schemes for grids based on space- lling curves (e.g., Hilbert indexings) nd applications in numerous elds. Hilbert curves yield the most simple and popular scheme. We exte...
Jochen Alber, Rolf Niedermeier
CISST
2004
133views Hardware» more  CISST 2004»
13 years 8 months ago
Algebraic Formulation and Program Generation of Three-Dimensional Hilbert Space-Filling Curves
: We use a tensor product based multi-linear algebra theory to formulate three-dimensional Hilbert space-filling curves. A 3-D Hilbert space-filling curve is specified as a permuta...
Chih-Sheng Chen, Shen-Yi Lin, Chua-Huang Huang
ADCM
2006
74views more  ADCM 2006»
13 years 7 months ago
Linearly constrained reconstruction of functions by kernels with applications to machine learning
This paper investigates the approximation of multivariate functions from data via linear combinations of translates of a positive definite kernel from a reproducing kernel Hilbert...
Robert Schaback, J. Werner