Reproducing Kernel Hilbert Spaces on Banach Completions of Virtual Persistence Diagram Groups

Charles Fanning, Mehmet Aktas

Persistent homology maps a simplicial complex filtered by elements in $\mathbb{R}$ to finite formal sums of elements of $\mathbb R_{\leq}^{2} = \{ (b,d) \in \mathbb R^2 \cup \{ \inf…