Reconstruction of dynamical systems from data without time labels

arXiv:2312.04038v2 Announce Type: replace
Abstract: In this paper, we study the method to reconstruct dynamical systems from data without time labels. Data without time labels appear in many applications, such as molecular dynamics, single-cell RNA sequencing etc. Reconstruction of dynamical system from time sequence data has been studied extensively. However, these methods do not apply if time labels are unknown. Without time labels, sequence data becomes distribution data. Based on this observation, we propose to treat the data as samples …

abstract applications arxiv cs.lg cs.na data dynamics etc however labels math.ds math.na molecular dynamics paper rna sequencing study systems type