Optimal Transport (OT) theory investigates the cost-minimizing transport map that moves a source distribution to a target distribution.
Existing methods for learning the optimal transport map using neural networks often experience training instability and sensitivity to hyperparameters.
A novel method called Displacement Interpolation Optimal Transport Model (DIOTM) is proposed to improve stability and achieve a better approximation of the OT Map.
DIOTM outperforms existing OT-based models on image-to-image translation tasks.