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For: Messenger DA, Bortz DM. Learning mean-field equations from particle data using WSINDy. Physica D 2022;439:133406. [PMID: 37476028 PMCID: PMC10358825 DOI: 10.1016/j.physd.2022.133406] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Indexed: 07/22/2023]
Number Cited by Other Article(s)
1
Messenger DA, Burby JW, Bortz DM. Coarse-graining Hamiltonian systems using WSINDy. Sci Rep 2024;14:14457. [PMID: 38914587 PMCID: PMC11196701 DOI: 10.1038/s41598-024-64730-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/21/2023] [Accepted: 06/12/2024] [Indexed: 06/26/2024]  Open
2
Burby JW. Variable-moment fluid closures with Hamiltonian structure. Sci Rep 2023;13:18286. [PMID: 37880306 PMCID: PMC10600257 DOI: 10.1038/s41598-023-45416-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/07/2023] [Accepted: 10/19/2023] [Indexed: 10/27/2023]  Open
3
Bortz DM, Messenger DA, Dukic V. Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. Bull Math Biol 2023;85:110. [PMID: 37796411 PMCID: PMC10556152 DOI: 10.1007/s11538-023-01208-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2023] [Accepted: 08/30/2023] [Indexed: 10/06/2023]
4
Messenger DA, Wheeler GE, Liu X, Bortz DM. Learning anisotropic interaction rules from individual trajectories in a heterogeneous cellular population. J R Soc Interface 2022;19:20220412. [PMCID: PMC9554727 DOI: 10.1098/rsif.2022.0412] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]  Open
5
Messenger DA, Dall'anese E, Bortz DM. Online Weak-form Sparse Identification of Partial Differential Equations. PROCEEDINGS OF MACHINE LEARNING RESEARCH 2022;190:241-256. [PMID: 38264277 PMCID: PMC10805452] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Subscribe] [Scholar Register] [Indexed: 01/25/2024]
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