very nice...
please note this work (numerical manifold method/deep manifold) has connection with Prof. Chern, The Founder of MSRI (Now SLMath, Simons Laufer Mathematical Sciences Institute)
Before James Simons left academia to start his hedge fund, he was deeply immersed in geometry and topology. In 1974, Chern and Simons collaborated to publish a landmark paper. Together, they introduced what is now known as Chern-Simons theory (or Chern-Simons forms).
Originally a purely mathematical construction in topology and differential geometry, Chern-Simons theory unexpectedly became the mathematical foundation for much of modern theoretical physics, including quantum field theory, string theory, and condensed matter physics.