Lipschitz top-n truncation for persistence diagrams
Construct a genuinely 1-Lipschitz replacement for top-$N$ persistence-bar truncation under the bottleneck metric, while retaining a computationally manageable representation for the COMPLEX embedding.
References
A soft, genuinely $1$-Lipschitz alternative to top-$n$ is the clean fix and we leave it open.
— COMPLEX: A Closed-Form Certified Embedding of Multiparameter Persistence Modules
(2609.22012 - Majhi et al., 18 Sep 2026) in Remark 2.3, “What the guarantees are about”