2018/06/30 by Alex McCleary, Amit Patel · 23 citations
Computer Science · Engineering · Mathematics · Medicine · #Abelian group #Algebraic structures and combinatorial models #Bottleneck #Calculus (dental) #Computer science #Embedded system #Engineering #Geotechnical engineering #Homotopy and Cohomology in Algebraic Topology #Machine learning #Mathematics #Medicine #Persistence (discontinuity) #Pure mathematics #Stability (learning theory) #Theoretical computer science #Topological and Geometric Data Analysis #math.AT
paper · pdf · doi:10.1090/proc/14929
published in Proceedings of the American Mathematical Society 148(7), 3149-3161 (American Mathematical Society) · We have made major revisions to this paper. We have streamlined our arguments and cleaned up the appalling number of typos
arxiv created 2019/04/06 · openalex publication_date 2019/11/20 · arxiv updated 2020/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we extend bottleneck stability to the setting of one dimensional constructible persistence modules valued in any skeletally small abelian category.