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» Imaginaries in Hilbert spaces
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APPML
2008
66views more  APPML 2008»
13 years 7 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
DCG
2010
76views more  DCG 2010»
13 years 7 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
APAL
2006
62views more  APAL 2006»
13 years 7 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»
13 years 7 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
IJON
2006
104views more  IJON 2006»
13 years 7 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