scholarly journals Optimal transport over nonlinear systems via infinitesimal generators on graphs

2018 ◽  
Vol 0 (0) ◽  
pp. 1-32 ◽  
Author(s):  
Karthik Elamvazhuthi ◽  
◽  
Piyush Grover ◽  
Keyword(s):  
Nonlinear Systems ◽  
Optimal Transport ◽  
Infinitesimal Generators

scholarly journals Nonlinear systems coupled through multi-marginal transport problems

2019 ◽  
Vol 31 (3) ◽  
pp. 450-469
Author(s):  
M. LABORDE
Keyword(s):  
Nonlinear Systems ◽  
Optimal Transport ◽  
Gradient Flow ◽  
Uniqueness Result ◽  
System Of Nonlinear Equations ◽  
Planning Model ◽  
Highly Nonlinear ◽  
Transport Problems ◽  
Dimension One ◽  
Monge Ampere

In this paper, we introduce a dynamical urban planning model. This leads to the study of a system of nonlinear equations coupled through multi-marginal optimal transport problems. A first example consists in solving two equations coupled through the solution to the Monge–Ampère equation. We show that theWasserstein gradient flow theory provides a very good framework to solve these highly nonlinear systems. At the end, a uniqueness result is presented in dimension one based on convexity arguments.

Identification of Continuous-time Nonlinear Systems via Local Gaussian Process Models

2014 ◽  
Vol 134 (11) ◽  
pp. 1708-1715
Author(s):  
Tomohiro Hachino ◽  
Kazuhiro Matsushita ◽  
Hitoshi Takata ◽  
Seiji Fukushima ◽  
Yasutaka Igarashi
Keyword(s):  
Nonlinear Systems ◽  
Gaussian Process ◽  
Continuous Time ◽  
Process Models ◽  
Gaussian Process Models

Modeling of Nonlinear Systems using Genetic Algorithm

2012 ◽  
Vol 132 (6) ◽  
pp. 913-918 ◽  
Author(s):  
Kayoko Hayashi ◽  
Toru Yamamoto ◽  
Kazuo Kawada
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Systems
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