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Differential geometry and stochastic dynamics with deep learning numerics

  • Published:2019-09 Issue: Volume:356 Page:411-437
  • ISSN:0096-3003
  • Container-title:Applied Mathematics and Computation
  • language:en
  • Short-container-title:Applied Mathematics and Computation

Author:

Kühnel LineORCID,Sommer Stefan,Arnaudon Alexis

Funder

CSGB

Villum Foundation

EPSRC

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference38 articles.

1. Introduction to smooth manifolds;Lee,2003

2. Theano: a python framework for fast computation of mathematical expressions;Theano Development Team;arXiv e-prints,2016

3. Tensorflow: a system for large-scale machine learning;Abadi,2016

4. Julia: a fresh approach to numerical computing;Bezanson;SIAM Rev.,2017

5. Pymanopt: a python toolbox for optimization on manifolds using automatic differentiation;Townsend;J. Mach. Learn. Res.,2016

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