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Entropic Isoperimetric Inequalities
We discuss optimal bounds on the Rényi entropies in terms of the Fisher information. In Information Theory, such relations are also known as entropic...
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A Modified Secant Method for Entropic Lattice Boltzmann Equations
AbstractStability of lattice Boltzmann equations is governed by a parameter that is responsible for the relaxation time of the nonequilibrium system...
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Entropic Regularization of the Discontinuous Galerkin Method for Two-Dimensional Euler Equations in Triangulated Domains
AbstractAn entropic regularization of the discontinuous Galerkin method in conservative variables is constructed for the two-dimensional Euler...
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The Entropic Barrier Is n-Self-Concordant
For any convex body \(K \subseteq \mathbb {R}^n\) , S....
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Long-time Behaviour of Entropic Interpolations
In this article we investigate entropic interpolations. These measure valued curves describe the optimal solutions of the Schrödinger problem...
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Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration
We study the application of a tailored quasi-Monte Carlo (QMC) method to a class of optimal control problems subject to parabolic partial...
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Entropic Regularization of the Discontinuous Galerkin Method in Conservative Variables for Two-Dimensional Euler Equations
AbstractAn entropic regularization of the conservative stable discontinuous Galerkin method (DGM) in conservative variables for two-dimensional Euler...
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An efficient implementable inexact entropic proximal point algorithm for a class of linear programming problems
We introduce a class of specially structured linear programming (LP) problems, which has favorable modeling capability for important application...
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An Entropic Kinetic Scheme with Compactly Supported Velocities
We introduce a new kinetic model where the equilibrium distribution function has a range of velocities centered about two velocities (...
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Entropic Regularization of Wasserstein Distance Between Infinite-Dimensional Gaussian Measures and Gaussian Processes
This work studies the entropic regularization formulation of the 2-Wasserstein distance on an infinite-dimensional Hilbert space, in particular for...
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Generalized Bakry–Émery Curvature Condition and Equivalent Entropic Inequalities in Groups
We study a generalization of the Bakry–Émery pointwise gradient estimate for the heat semigroup and its equivalence with some entropic inequalities...
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An extension of the entropic chaos degree and its positive effect
The Lyapunov exponent is used to quantify the chaos of a dynamical system, by characterizing the exponential sensitivity of an initial point on the...
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Mean-Field Limits for Entropic Multi-Population Dynamical Systems
The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation...
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New entropic bounds on time scales via Hermite interpolating polynomial
Hermite’s interpolation is utilized to establish a new generalization of an inequality for higher order convex functions containing Csiszár...
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A characterization of generalized multinomial coefficients related to the entropic chain rule
There is an asymptotic correspondence between the multiplicative relations among multinomial coefficients and the (additive) recursive property of...
