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The classical approach to linear system identification is given by parametric Prediction Error Methods (PEM). In this context, model complexity is often unknown so that a model order selection step is...
Let (V,A) be a weighted graph with a finite vertex set V,with a symmetric matrix of nonnegative weightsAand with Laplacian ∆. LetS∗: V ×V 7→ R be a symmetric kernel defined on the vertex s...
Kernel methods are among the most popular techniques in machine learning. From a frequentist/discriminative perspective they play a central role in regularization theory as they provide a natural choi...
Given a Reproducing Kernel Hilbert Space (H, h., .i) of real-valued functions and a suitable measure \mu over the source space, we decompose H as sum of a subspace of centered functions for {\mu} and ...
We study positive measures that are solutions to an abstract optimisation problem, which is a generalisation of a classical variational problem with a constraint on information of a Kullback-Leibler t...
A Hilbert space embedding for probability measures has recently been proposed, wherein any probability measure is represented as a mean element in a reproducing kernel Hilbert space (RKHS). Such an ...
The aim of the paper is to give a description of linear kernds of symmetric p-stable measures in terms of Pettis-typeintegral of some operatom.
Using a probabilistic technique we obtain upper and lower estimates for the Poisson kernels of the second order diflerential operators on a homogeneous manifold of negative curvature. Our results i...
In this note we give an improvement of the estimate of the Poisson kernels for second order differential operators on homogeneous manifolds of negative curvature obtained for the first time, using ...
Fill, Machida, Murdoch, and Rosenthal (2000) presented their algorithm and its variants to extend the perfect sampling algorithm of Fill (1998) to chains on continuous state spaces. We consider their ...
We build a Markovian system of particles entirely characterized by their masses, in which each pair of particles with masses x and y coalesce at rate (approximately) xa+ya, for some a in (0,1), and su...
We build a Markovian system of particles entirely characterized by their masses, in which each pair of particles with masses x and y coalesce at rate (approximately) xa+ya, for some a in (0,1), and su...
We show how the evolving set methodology of Morris and Peres can be used to show Cheeger inequalities for bounding the spectral gap of a finite Markov kernel. This leads to sharp versions of several p...
A reduced-bias nonparametric estimator of the cumulative distribution function (CDF) and the survival function is proposed using infinite-order kernels. Fourier transform theory on generalized funct...

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