Optimization Methods for W2 Gradient Flows

We covered and implemented the algorithms of the paper 'Optimal Transport with Proximal Splitting' on complex scenarios.

We analyzed and presented the paper ‘Optimal Transport with Proximal Splitting’ (Papadakis et al., 2014) for a graduate gradient flows course at the University of Washington, benchmarking the proposed algorithms on novel experiments. A detailed report with the appropriate background can be found here, and the presentation slides can be found here.

References

2014

  1. Optimal Transport with Proximal Splitting
    Nicolas Papadakis, Gabriel Peyré, and Edouard Oudet
    SIAM Journal on Imaging Sciences, Jan 2014