Intrinsic Dimension, Persistent Homology and Generalization in Neural Networks Supplementary Material

This document supplements our main paper entitled Intrinsic Dimension, Persistent Homology and Generalization in Neural Networks as follows: (i) Sec. S1 firsts gives some of the formal definitions and interpretations omitted from the main paper due to space limitations. Next, it involves a discussion and contrasts our dimension estimator against the commonly used ones. Finally, it provides additional details into the regularizer we devised in the main paper; (ii) we then provide the complement the experimental evaluations given in the main paper and present additional studies on our synthetic diffusion data.