Fetching the paper…
Reading the bibliography…
This study examines the identifiability of interaction kernels in mean-field equations of interacting particles or agents, an area of growing interest across various scientific and engineering fields.
Harmonic analysis on semigroups: theory of positive definite and related functions
C. Berg, J. P. R. Christensen, and P. Ressel · 1984
Earlier work this paper cites.
Maximum Likelihood Theory for Large Interacting Systems
R. A. Kasonga · 1990
Earlier work this paper cites.
Topics in Propagation of Chaos
A.-S. Sznitman · 1991
Earlier work this paper cites.
REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems
P. C. Hansen · 1994
Earlier work this paper cites.
Asymptotic Behaviour of Some Interacting Particle Systems; McKean-Vlasov and Boltzmann Models
S. Méléard · 1996
Earlier work this paper cites.
The L-curve and its use in the numerical treatment of inverse problems
P. C. Hansen · 2000
Earlier work this paper cites.
Nonlinear Time Series: Nonparametric and Parametric Methods
J. Fan and Q. Yao · 2003
Earlier work this paper cites.
Convergence to equilibrium for granular media equations and their Euler schemes
F. Malrieu · 2003
Earlier work this paper cites.
Gaussian processes in machine learning
C. E. Rasmussen · 2003
Earlier work this paper cites.
Particle-based simulation of granular materials
N. Bell, Y. Yu, and P. J. Mucha · 2005
Earlier work this paper cites.
Mercer theorem for RKHS on noncompact sets
H. Sun · 2005
Earlier work this paper cites.
Learning theory: an approximation theory viewpoint
F. Cucker and D. X. Zhou · 2007
Cited alongside, same era.
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
J. A. Carrillo, M. DiFrancesco, A. Figalli, T. Laurent, and D. Slepčev · 2011
Cited alongside, same era.
Collective motion
T. Vicsek and A. Zafeiris · 2012
Cited alongside, same era.
Heterophilious Dynamics Enhances Consensus
S. Mostch and E. Tadmor · 2014
Cited alongside, same era.
Inferring interaction rules from observations of evolutive systems I: The variational approach
M. Bongini, M. Fornasier, M. Hansen, and M. Maggioni · 2017
Cited alongside, same era.
Mean Field Limit for Stochastic Particle Systems
P.-E. Jabin and Z. Wang · 2017
Cited alongside, same era.
Maximum likelihood estimation of potential energy in interacting particle systems from single-trajectory data
X. Chen · 2021
Closest in time.
On the identifiability of interaction functions in systems of interacting particles
Z. Li, F. Lu, M. Maggioni, S. Tang, and C. Zhang · 2021
Closest in time.
Learning interaction kernels in heterogeneous systems of agents from multiple trajectories
F. Lu, M. Maggioni, and S. Tang · 2021
Closest in time.
Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories
F. Lu, M. Maggioni, and S. Tang · 2021
Closest in time.
Parameter estimation for the McKean-Vlasov stochastic differential equation
L. Sharrock, N. Kantas, P. Parpas, and G. A. Pavliotis · 2021
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Quantitative estimates of propagation of chaos for stochastic systems with
P.-E. Jabin and Z. Wang · 2018
Cited alongside, same era.
A general constitutive model for dense, fine-particle suspensions validated in many geometries
A. S. Baumgarten and K. Kamrin · 2019
Cited alongside, same era.
Aggregation-diffusion equations: dynamics, asymptotics, and singular limits
J. A. Carrillo, K. Craig, and Y. Yao · 2019
Cited alongside, same era.
Nonparametric inference of interaction laws in systems of agents from trajectory data
F. Lu, M. Zhong, S. Tang, and M. Maggioni · 2019
Cited alongside, same era.
On the coercivity condition in the learning of interacting particle systems
Z. Li and F. Lu · 2020
Cited alongside, same era.
The LAN property for McKean-Vlasov models in a mean-field regime, 2022
L. Della Maestra and M. Hoffmann · 2022
Closest in time.
Nonparametric estimation for interacting particle systems: McKean–Vlasov models
L. Della Maestra and M. Hoffmann · 2022
Closest in time.
Learning interaction kernels in mean-field equations of first-order systems of interacting particles
Q. Lang and F. Lu · 2022
Closest in time.
Data adaptive RKHS Tikhonov regularization for learning kernels in operators
F. Lu, Q. Lang, and Q. An · 2022
Closest in time.
Mean-field nonparametric estimation of interacting particle systems
R. Yao, X. Chen, and Y. Yang · 2022
Closest in time.