Stable Invariants for Multidimensional Persistence
Year: 2017
Type: preprint
Abstract: In this paper we explain how to convert discrete invariants into stable ones via what we call hierarchical stabilization. We illustrate this process by constructing stable invariants for multi parameter persistence modules with respect to so called simple noise systems. For one parameter we recover the standard bar code information. For more than one parameter we prove that the constructed invariants are in general NP-hard to calculate.
Source: arXiv (Cornell University)
Authors: Oliver Gäfvert, Wojciech Chachólski
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2607072673