diff --git a/paper.md b/paper.md index 747b1869530eb2b757d3f166febc181971415ff0..3e747be26b149af7706e983d167173603eea9c06 100755 --- a/paper.md +++ b/paper.md @@ -325,7 +325,11 @@ For more details on how to use Adaptive, we recommend reading the tutorial insid # Possible extensions #### Anisotropic triangulation would improve the algorithm. -[@dyn1990data] +The current implementation of choosing the candidate point inside a simplex (triangle for 2D) with the highest loss, for the `LearnerND`, works by either picking a point (1) in the center of the simplex or (2) by picking a point on the longest edge of the simplex. +The choice depends on the shape of the simplex, where the algorithm tries to create regular simplices. +Alternatively, a good strategy is choosing points somewhere on the edge of a triangle such that the simplex aligns with the gradient of the function; creating an anisotropic triangulation[@dyn1990data]. +This is a similar approach to the anisotropic meshing techniques mentioned in the literature review. +We have started to implement this, however, there are still some unsolved problems. #### Learning stochastic functions is a promising direction.