Results 71 to 80 of about 162 (135)

Optimal transport and control of active drops. [PDF]

Proc Natl Acad Sci U S A, 2022
Shankar S, Raju V, Mahadevan L.
europepmc   +1 more source

Regularity of center-outward distribution functions in non-convex domains

Advanced Nonlinear Studies
For a probability P in Rd ${\mathbb{R}}^{d}$ its center outward distribution function F ±, introduced in V. Chernozhukov, A. Galichon, M. Hallin, and M. Henry (“Monge–Kantorovich depth, quantiles, ranks and signs,” Ann. Stat., vol. 45, no. 1, pp.
del Barrio Eustasio, González-Sanz Alberto   +1 more
doaj   +1 more source

Second-order PDEs in four dimensions with half-flat conformal structure. [PDF]

Proc Math Phys Eng Sci, 2020
Berjawi S, Ferapontov EV, Kruglikov B, Novikov V.   +3 more
europepmc   +1 more source

Taming hyperparameter tuning in continuous normalizing flows using the JKO scheme. [PDF]

Sci Rep, 2023
Vidal A, Wu Fung S, Tenorio L, Osher S, Nurbekyan L.   +4 more
europepmc   +1 more source

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.
europepmc   +1 more source

Some applications and maximum principles for multi-term time-space fractional parabolic Monge-Ampère equation

Demonstratio Mathematica
This study first establishes several maximum and minimum principles involving the nonlocal Monge-Ampère operator and the multi-term time-space fractional Caputo-Fabrizio derivative.
Guan Tingting, Wang Guotao, Araci Serkan
doaj   +1 more source

Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]

Entropy (Basel), 2023
Feng Q, Li W.
europepmc   +1 more source

Pseudo-Riemannian geometry encodes information geometry in optimal transport. [PDF]

Inf Geom, 2022
Wong TL, Yang J.
europepmc   +1 more source

The Dirichlet problem for the Monge-Ampere equation in convex (but not strictly convex) domains

Electronic Journal of Differential Equations, 2006
It is well-known that the Dirichlet problem for the Monge-Amp`ere equation $det D^2 u = mu$ in a bounded strictly convex domain $Omega$ in $mathbb{R}^n$ has a weak solution (in the sense of Aleksandrov) for any finite Borel measure $mu$ on $Omega$ and ...
David Hartenstine
doaj  

Regularity of the Dirichlet problem for the complex Monge-Ampère equation. [PDF]

Proc Natl Acad Sci U S A, 1979
Moriyon R.
europepmc   +1 more source