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» Imaginaries in Hilbert spaces
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MOC
2010
14 years 5 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
142
Voted
ICDE
2003
IEEE
97views Database» more  ICDE 2003»
16 years 14 days 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»
15 years 3 months 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
15 years 13 days 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»
14 years 11 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