AbstractThe sharp asymptotics for the (metric) entropy numbers of large ellipsoids in a Hilbert space is derived. The condition imposed is slow variation of the lengths of the semi-axes
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t — a(u, &...
summary:To study the asymptotic properties of entropy estimates, we use a unified expression, called...
AbstractLet U denote the unit ball of the Cameron–Martin space of a Gaussian measure on a Hilbert sp...
In [1] it is shown that recurrent neural networks (RNNs) can learn - in a metric entropy optimal man...
AbstractWe establish a first-order asymptotic for the entropy integrals∫Ipn2(logpn2)W2and∫Ipn2(log(p...
AbstractUnder some non-degeneracy condition we show that sequences of entropy solutions of a semi-li...
The relative entropy is the basic concept underlying various information measures like entropy, cond...
Exponential decay of correlation for the Stochastic Process associated to the Entropy Penalized Meth...
AbstractWe associate to every function space, and to every entropy function E, a scale of spaces Λp,...
AbstractThe Dirichlet form on the loop group Le(G) with respect to the heat measure defines a Laplac...
We consider the linear convection-diffusion equation associated to higher order elliptic operators (...
AbstractLet (X,H,μ) be an abstract Wiener space, E(ɛ,K) denote the metric entropy of a set K⊂X. If K...
AbstractLet A be a subset of a type p Banach space E, 1<p⩽2, such that its entropy numbers satisfy (...
AbstractThis paper is devoted to refinements of convex Sobolev inequalities in the case of power law...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t — a(u, &...
summary:To study the asymptotic properties of entropy estimates, we use a unified expression, called...
AbstractLet U denote the unit ball of the Cameron–Martin space of a Gaussian measure on a Hilbert sp...
In [1] it is shown that recurrent neural networks (RNNs) can learn - in a metric entropy optimal man...
AbstractWe establish a first-order asymptotic for the entropy integrals∫Ipn2(logpn2)W2and∫Ipn2(log(p...
AbstractUnder some non-degeneracy condition we show that sequences of entropy solutions of a semi-li...
The relative entropy is the basic concept underlying various information measures like entropy, cond...
Exponential decay of correlation for the Stochastic Process associated to the Entropy Penalized Meth...
AbstractWe associate to every function space, and to every entropy function E, a scale of spaces Λp,...
AbstractThe Dirichlet form on the loop group Le(G) with respect to the heat measure defines a Laplac...
We consider the linear convection-diffusion equation associated to higher order elliptic operators (...
AbstractLet (X,H,μ) be an abstract Wiener space, E(ɛ,K) denote the metric entropy of a set K⊂X. If K...
AbstractLet A be a subset of a type p Banach space E, 1<p⩽2, such that its entropy numbers satisfy (...
AbstractThis paper is devoted to refinements of convex Sobolev inequalities in the case of power law...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t — a(u, &...
summary:To study the asymptotic properties of entropy estimates, we use a unified expression, called...
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