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...
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...
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...
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...
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...