Data-driven gradient flows
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Publication:2100871
DOI10.1553/etna_vol57s193zbMath1502.49031arXiv2205.12172OpenAlexW4312867156MaRDI QIDQ2100871
Jan-Frederik Pietschmann, Matthias Schlottbom
Publication date: 25 November 2022
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.12172
Inverse problems for PDEs (35R30) Inverse problems in optimal control (49N45) Optimal transportation (49Q22)
Cites Work
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- Minimizing movements along a sequence of functionals and curves of maximal slope
- Numerical solution of the optimal transportation problem using the Monge-Ampère equation
- Local minimization, variational evolution and \(\Gamma\)-convergence
- Second-order in time schemes for gradient flows in Wasserstein and geodesic metric spaces
- \{Euclidean, metric, and Wasserstein\} gradient flows: an overview
- Gradient flows of the entropy for finite Markov chains
- On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals
- A new class of transport distances between measures
- Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory
- An interpolating distance between optimal transport and Fisher-Rao metrics
- A new primal-dual algorithm for minimizing the sum of three functions with a linear operator
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit
- Some application examples of minimization based formulations of inverse problems and their regularization
- Primal dual methods for Wasserstein gradient flows
- On Fokker-Planck equations with in- and outflow of mass
- A variational finite volume scheme for Wasserstein gradient flows
- Fokker-Planck equations for a free energy functional or Markov process on a graph
- Convergence of a Newton algorithm for semi-discrete optimal transport
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- A Nonparametric Ensemble Transform Method for Bayesian Inference
- Optimal Transport with Proximal Splitting
- A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
- An augmented Lagrangian approach to Wasserstein gradient flows and applications
- Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model
- The Variational Formulation of the Fokker--Planck Equation
- Minimization Based Formulations of Inverse Problems and Their Regularization
- Volume Filling Effect in Modelling Chemotaxis
- A variational formulation of the BDF2 method for metric gradient flows
- Simulation of multiphase porous media flows with minimising movement and finite volume schemes
- Data Assimilation
- Identification of Chemotaxis Models with Volume-Filling
- Proximité et dualité dans un espace hilbertien
