Taming hyperparameter tuning in continuous normalizing flows using the JKO scheme. [PDF]
Sci Rep, 2023 Vidal A +4 more
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Information Processing in the Brain as Optimal Entropy Transport: A Theoretical Approach. [PDF]
Entropy (Basel), 2020 Islas C, Padilla P, Prado MA.
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The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces. [PDF]
Calc Var Partial Differ Equ, 2021 Guerra A, Koch L, Lindberg S.
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Second-order PDEs in four dimensions with half-flat conformal structure. [PDF]
Proc Math Phys Eng Sci, 2020 Berjawi S +3 more
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Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]
Entropy (Basel), 2023 Feng Q, Li W.
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Global interval bifurcation and convex solutions for the Monge-Ampere equations
Electronic Journal of Differential Equations, 2018 In this article, we establish the global bifurcation result from the trivial solutions axis or from infinity for the Monge-Ampere equations with non-differentiable nonlinearity. By applying the above result, we shall determine the interval of $\gamma$
Wenguo Shen
doaj
Pseudo-Riemannian geometry encodes information geometry in optimal transport. [PDF]
Inf Geom, 2022 Wong TL, Yang J.
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Removable singular sets of fully nonlinear elliptic equations
Electronic Journal of Differential Equations, 1999 In this paper we consider fully nonlinear elliptic equations, including the Monge-Ampere equation and the Weingarden equation. We assume that $F(D^2u, x) = f(x) quad x in Omega,,$ $u(x) = g(x) quad xin partial Omega $ has a solution $u$ in $C^2(Omega ...
Lihe Wang, Ning Zhu
doaj
Whole-beam self-focusing in fusion-relevant plasma. [PDF]
Philos Trans A Math Phys Eng Sci, 2021 Spiers BT +19 more
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C^{2,alpha} estimates and existence results for a nonconcave PDE
Electronic Journal of Differential Equations, 2016 We establish $C^{2,\alpha}$ estimates for PDE of the form convex + a sum of weakly concave functions of the Hessian, thus generalising a recent result of Collins which is in turn inspired by a theorem of Caffarelli and Yuan.
Vamsi P. Pingal Vamsi P. Pingal
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