On the identifiability of nonlocal interaction kernels in first-order systems of interacting particles on Riemannian manifolds
DOI10.1137/23M1599835MaRDI QIDQ6620727
Hanming Zhou, Sui Tang, Malik Tuerkoen
Publication date: 17 October 2024
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
manifoldintegral operatornonparametric regressionparticle systemidentifiabilityminimax optimalitystatistical inverse problemnon local particle model on manifold
Linear regression; mixed models (62J05) Nonparametric estimation (62G05) Linear operators on function spaces (general) (47B38) Inverse problems for systems of particles (70F17) Relations of manifolds and cell complexes with computer and data science (57Z25)
Cites Work
- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Opinion dynamics on a general compact Riemannian manifold
- Machine learning of linear differential equations using Gaussian processes
- On the identifiability of interaction functions in systems of interacting particles
- Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds
- Maximum likelihood estimation of potential energy in interacting particle systems from single-trajectory data
- The LAN property for McKean-Vlasov models in a mean-field regime
- Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories
- Learning mean-field equations from particle data using WSINDy
- Data driven governing equations approximation using deep neural networks
- Self-organization on Riemannian manifolds
- The Methods of Distances in the Theory of Probability and Statistics
- Heterophilious Dynamics Enhances Consensus
- Identifiability of Linear and Linear-in-Parameters Dynamical Systems from a Single Trajectory
- Inferring interaction rules from observations of evolutive systems I: The variational approach
- On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics
- Maximum Likelihood Theory for Large Interacting Systems
- Extracting Sparse High-Dimensional Dynamics from Limited Data
- Emergent behaviors of Cucker–Smale flocks on the hyperboloid
- Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds
- The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation
- Identification of affine dynamical systems from a single trajectory
- Weak SINDy: Galerkin-Based Data-Driven Model Selection
- Nonparametric inference of interaction laws in systems of agents from trajectory data
- Parameter Estimation for Macroscopic Pedestrian Dynamics Models from Microscopic Data
- Advanced Transport Phenomena
- Riemannian geometry
- Learning theory for inferring interaction kernels in second-order interacting agent systems
- Learning particle swarming models from data with Gaussian processes
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