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Learning Anisotropic Interaction Rules from Individual Trajectories in a Heterogeneous Cellular Population. (arXiv:2204.14141v1 [q-bio.QM])
May 2, 2022, 1:11 a.m. | Daniel A. Messenger (1), Graycen E. Wheeler (2), Xuedong Liu (2), David M. Bortz (1) ((1) Department of Applied Mathematics, University of Colorado, B
cs.LG updates on arXiv.org arxiv.org
Interacting particle system (IPS) models have proven to be highly successful
for describing the spatial movement of organisms. However, it has proven
challenging to infer the interaction rules directly from data. In the field of
equation discovery, the Weak form Sparse Identification of Nonlinear Dynamics
(WSINDy) methodology has been shown to be very computationally efficient for
identifying the governing equations of complex systems, even in the presence of
substantial noise. Motivated by the success of IPS models to describe the …
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