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» Imaginaries in Hilbert spaces
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APPML
2008
66views more  APPML 2008»
14 years 11 months ago
On unbounded operators and applications
Assume that Au = f (1) is a solvable linear equation in a Hilbert space H, A is a linear, closed, densely defined, unbounded operator in H, which is not boundedly invertible, so p...
Alexander G. Ramm
90
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DCG
2010
76views more  DCG 2010»
14 years 11 months ago
The Euclidean Distortion of the Lamplighter Group
We show that the cyclic lamplighter group C2 Cn embeds into Hilbert space with distortion O log n . This matches the lower bound proved by Lee, Naor and Peres in [14], answering a...
Tim Austin, Assaf Naor, Alain Valette
71
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APAL
2006
62views more  APAL 2006»
14 years 11 months ago
Fundamental notions of analysis in subsystems of second-order arithmetic
We develop fundamental aspects of the theory of metric, Hilbert, and Banach spaces in the context of subsystems of second-order arithmetic. In particular, we explore issues having...
Jeremy Avigad, Ksenija Simic
FSS
2006
102views more  FSS 2006»
14 years 11 months ago
Consistent Sobolev regression via fuzzy systems with overlapping concepts
In this paper we propose a new nonparametric regression algorithm based on Fuzzy systems with overlapping concepts. We analyze its consistency properties, showing that it is capab...
Giancarlo Ferrari-Trecate, Riccardo Rovatti
70
Voted
IJON
2006
104views more  IJON 2006»
14 years 11 months ago
Kernel methods and the exponential family
The success of Support Vector Machine (SVM) gave rise to the development of a new class of theoretically elegant learning machines which use a central concept of kernels and the a...
Stéphane Canu, Alexander J. Smola