p7math.AP

math.AP

33 papers

Scaling limit of the Stein variational gradient descent: the mean field regime

Jianfeng Lu, Yulong Lu, James Nolen

1805.04035

Functional Inequalities: New Perspectives and New Applications

Nassif Ghoussoub, Amir Moradifam

1201.2976

Rellich inequalities with weights

Paolo Caldiroli, Roberta Musina

1103.6184

Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials

Mousomi Bhakta, Roberta Musina

1112.0154

A new dynamical approach of Emden-Fowler equations and systems

Marie-Françoise Bidaut-Véron, Hector Giacomini

1001.0562

Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis

1711.10566

Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations

Maziar Raissi

1801.06637

Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations

Maziar Raissi, George Em Karniadakis

1708.00588

Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis

1703.10230

Hardy-Poincare' inequalities with boundary singularities

Mouhamed Moustapha Fall, Roberta Musina

1005.3400

On the Convergence of Gradient Descent Training for Two-layer ReLU-networks in the Mean Field Regime

Stephan Wojtowytsch

2005.13530

Stability of Schrödinger Potentials and Convergence of Sinkhorn's Algorithm

Marcel Nutz, Johannes Wiesel

2201.10059

Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations

Liu Yang, Dongkun Zhang, George Em Karniadakis

1811.02033

Uniform convergence to equilibrium for granular media

François Bolley, Ivan Gentil, Arnaud Guillin

1204.4138

Renormalized reduced models for singular PDEs

Panagiotis Stinis

1106.1677

Finite time blowup for an averaged three-dimensional Navier-Stokes equation

Terence Tao

1402.0290

Neural networks-based backward scheme for fully nonlinear PDEs

Huyen Pham, Xavier Warin, Maximilien Germain

1908.00412

A non-adapted sparse approximation of PDEs with stochastic inputs

Alireza Doostan, Houman Owhadi

1006.2151

Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation

Francois Bolley, Arnaud Guillin, Florent Malrieu

0906.1417

Numerical computation of solutions of the critical nonlinear Schrodinger equation after the singularity

Panagiotis Stinis

1010.2246

Smooth solutions for the dyadic model

David Barbato, Francesco Morandin, Marco Romito

1007.3401

Stability of Entropic Optimal Transport and Schrödinger Bridges

Promit Ghosal, Marcel Nutz, Espen Bernton

2106.03670

Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems

Dongkun Zhang, Lu Lu, Ling Guo, George Em Karniadakis

1809.08327

Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system

David Barbato, Francesco Morandin, Marco Romito

1407.6734

On Learning Rates and Schrödinger Operators

Bin Shi, Weijie J. Su, Michael I. Jordan

2004.06977

On the Equivalence of the Entropic Curvature-Dimension Condition and Bochner's Inequality on Metric Measure Spaces

Matthias Erbar, Kazumasa Kuwada, Karl-Theodor Sturm

1303.4382

Data-based stochastic model reduction for the Kuramoto--Sivashinsky equation

Fei Lu, Kevin Lin, Alexandre J. Chorin

1509.09279

Learning Parameters and Constitutive Relationships with Physics Informed Deep Neural Networks

Alexandre M. Tartakovsky, Carlos Ortiz Marrero, Paris Perdikaris, Guzel D. Tartakovsky, David Barajas-Solano

1808.03398

Energy dissipation and self-similar solutions for an unforced inviscid dyadic model

D. Barbato, F. Flandoli, F. Morandin

0811.1689

A blob method for diffusion

José Antonio Carrillo, Katy Craig, Francesco S. Patacchini

1709.09195

Faster high-accuracy log-concave sampling via algorithmic warm starts

Jason M. Altschuler, Sinho Chewi

2302.10249

Iterative Bregman Projections for Regularized Transportation Problems

Jean-David Benamou, Guillaume Carlier, Marco Cuturi, Luca Nenna, Gabriel Peyré

1412.5154

Deep Learning of Vortex Induced Vibrations

Maziar Raissi, Zhicheng Wang, Michael S. Triantafyllou, George Em Karniadakis

1808.08952