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» Imaginaries in Hilbert spaces
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MOC
2010
13 years 2 months ago
Dynamical systems method for solving nonlinear equations with monotone operators
A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper. An a posteriori stopp...
N. S. Hoang, Alexander G. Ramm
ICDE
2003
IEEE
97views Database» more  ICDE 2003»
14 years 9 months ago
Spectral LPM: An Optimal Locality-Preserving Mapping using the Spectral (not Fractal) Order
For the past two decades, fractals (e.g., the Hilbert and Peano space-filling curves) have been considered the natural method for providing a locality-preserving mapping. The idea...
Mohamed F. Mokbel, Walid G. Aref, Ananth Grama
DEXA
2000
Springer
98views Database» more  DEXA 2000»
14 years 7 hour ago
Optimal Page Ordering for Region Queries in Static Spatial Databases
Page ordering is to define the order of pages in one-dimensional storage for storing two-dimensional spatial data to reduce the number of disk seeks. Previous works relating to pag...
Daesoo Cho, Bonghee Hong
NIPS
2000
13 years 9 months ago
The Kernel Trick for Distances
A method is described which, like the kernel trick in support vector machines (SVMs), lets us generalize distance-based algorithms to operate in feature spaces, usually nonlinearl...
Bernhard Schölkopf
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 7 months ago
Metric Structures and Probabilistic Computation
Abstract. Continuous first-order logic is used to apply model-theoretic analysis to analytic structures (e.g. Hilbert spaces, Banach spaces, probability spaces, etc.). Classical co...
Wesley Calvert