Fetching the paper…
Reading the bibliography…
Nonparametric estimation of nonlocal interaction kernels is crucial in various applications involving interacting particle systems.
Funzione caratteristica di un fenomeno aleatorio
Bruno De Finetti · 1929
Earlier work this paper cites.
Finite exchangeable sequences
P. Diaconis and D. Freedman · 1980
Earlier work this paper cites.
The role of exchangeability in inference
D. V. Lindley and Melvin R. Novick · 1981
Earlier work this paper cites.
Deux remarques sur l’estimation
Patrice Assouad · 1983
Earlier work this paper cites.
The truncated SVD as a method for regularization
Per Christian Hansen · 1987
Earlier work this paper cites.
Maximum likelihood theory for large interacting systems
Raphael A. Kasonga · 1990
Earlier work this paper cites.
On the optimal rates of convergence for nonparametric deconvolution problems
Jianqing Fan · 1991
Earlier work this paper cites.
Applications of the van trees inequality: a bayesian cramér-rao bound
Richard D Gill and Boris Y Levit · 1995
Earlier work this paper cites.
Assouad, fano, and Le Cam
Bin Yu · 1997
Earlier work this paper cites.
Asymptotic statistics
Aad W Van der Vaart · 2000
Earlier work this paper cites.
Best Choices for Regularization Parameters in Learning Theory: On the Bias—Variance Problem
Felipe Cucker and Steve Smale · 2002
Earlier work this paper cites.
On the mathematical foundations of learning
Felipe Cucker and Steve Smale · 2002
Earlier work this paper cites.
Kinetic equilibration rates for granular media and related equations: Entropy dissipation and mass transportation estimates
José Carrillo, Robert McCann, and Cédric Villani · 2003
Earlier work this paper cites.
Concentration inequalities and model selection
Pascal Massart · 2003
Earlier work this paper cites.
Probabilistic symmetries and invariance principles
Olav Kallenberg · 2005
Earlier work this paper cites.
A distribution-free theory of nonparametric regression
László Györfi, Michael Kohler, Adam Krzyzak, and Harro Walk · 2006
Earlier work this paper cites.
Probabilistic approach for granular media equations in the non-uniformly convex case
P. Cattiaux, A. Guillin, and F. Malrieu · 2007
Earlier work this paper cites.
Emergent behavior in flocks
Felipe Cucker and Steve Smale · 2007
Earlier work this paper cites.
Introduction to Nonparametric Estimation
Alexandre B. Tsybakov · 2008
Earlier work this paper cites.
A first course in Bayesian statistical methods
Peter D. Hoff · 2009
Earlier work this paper cites.
Deconvolution problems in nonparametric statistics
Alexander Meister · 2009
Earlier work this paper cites.
Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
Shin Mi Ahn and Seung-Yeal Ha · 2010
Earlier work this paper cites.
A reproducing kernel Hilbert space approach to functional linear regression
Ming Yuan and T Tony Cai · 2010
Earlier work this paper cites.
Minimax and adaptive prediction for functional linear regression
T. Tony Cai and Ming Yuan · 2012
Cited alongside, same era.
Hitchhiker’s guide to the fractional Sobolev spaces
Eleonora Di Nezza, Giampiero Palatucci, and Enrico Valdinoci · 2012
Cited alongside, same era.
On the singular values of random matrices
Shahar Mendelson and Grigoris Paouris · 2014
Cited alongside, same era.
Heterophilious Dynamics Enhances Consensus
Sebastien Motsch and Eitan Tadmor · 2014
Cited alongside, same era.
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
Matteo Bonforte, Yannick Sire, and Juan Luis Vázquez · 2015
Cited alongside, same era.
Bounding the smallest singular value of a random matrix without concentration
Vladimir Koltchinskii and Shahar Mendelson · 2015
Cited alongside, same era.
Marchenko-Pastur law with relaxed independence conditions
Jennifer Bryson, Roman Vershynin, and Hongkai Zhao · 2021
Later among the works it cites.
Maximum likelihood estimation of potential energy in interacting particle systems from single-trajectory data
Xiaohui Chen · 2021
Later among the works it cites.
On the identifiability of interaction functions in systems of interacting particles
Zhongyang Li, Fei Lu, Mauro Maggioni, Sui Tang, and Cheng Zhang · 2021
Later among the works it cites.
The smallest singular value of inhomogeneous square random matrices
Galyna V. Livshyts, Konstantin Tikhomirov, and Roman Vershynin · 2021
Later among the works it cites.
Learning interaction kernels in heterogeneous systems of agents from multiple trajectories
Fei Lu, Mauro Maggioni, and Sui Tang · 2021
Later among the works it cites.
Parameter stimation for the McKean-Vlasov stochastic differential equation
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
An introduction to matrix concentration inequalities
Joel A Tropp et al · 2015
Cited alongside, same era.
Sharp lower bounds on the least singular value of a random matrix without the fourth moment condition
Pavel Yaskov · 2015
Cited alongside, same era.
Variational methods for nonlocal fractional problems
Giovanni Molica Bisci, Vicentiu D. Radulescu, and Raffaella Servadei · 2016
Cited alongside, same era.
The lower tail of random quadratic forms with applications to ordinary least squares
Roberto Imbuzeiro Oliveira · 2016
Cited alongside, same era.
Stochastic Cucker–Smale models: Old and new
Patrick Cattiaux, Fanny Delebecque, and Laure Pédèches · 2018
Cited alongside, same era.
Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions
Nicole Cusimano, Félix del Teso, Luca Gerardo-Giorda, and Gianni Pagnini · 2018
Cited alongside, same era.
Louis Sharrock, Nikolas Kantas, Panos Parpas, and Grigorios A. Pavliotis · 2021
Later among the works it cites.
Nonparametric estimation for interacting particle systems: McKean-Vlasov models
Laetitia Della Maestra and Marc Hoffmann · 2022
Later among the works it cites.
Learning interaction kernels in mean-field equations of first-order systems of interacting particles
Quanjun Lang and Fei Lu · 2022
Later among the works it cites.
Parameter estimation of path-dependent McKean-Vlasov stochastic differential equations
Meiqi Liu and Huijie Qiao · 2022
Later among the works it cites.
Data adaptive RKHS Tikhonov regularization for learning kernels in operators
Fei Lu, Quanjun Lang, and Qingci An · 2022
Later among the works it cites.
Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories
Fei Lu, Mauro Maggioni, and Sui Tang · 2022
Later among the works it cites.
Random Toeplitz matrices: the condition number under high stochastic dependence
Paulo Manrique-Mirón · 2022
Later among the works it cites.
Learning swarm interaction dynamics from density evolution
Christos N Mavridis, Amoolya Tirumalai, and John S Baras · 2022
Later among the works it cites.
Learning mean-field equations from particle data using wsindy
Daniel A Messenger and David M Bortz · 2022
Later among the works it cites.
Exact minimax risk for linear least squares, and the lower tail of sample covariance matrices
Jaouad Mourtada · 2022
Later among the works it cites.
Mean-field nonparametric estimation of interacting particle systems
Rentian Yao, Xiaohui Chen, and Yun Yang · 2022
Later among the works it cites.
Parameter estimation of discretely observed interacting particle systems
Chiara Amorino, Akram Heidari, Vytautė Pilipauskaitė, and Mark Podolskij · 2023
Closest in time.
Semiparametric estimation of McKean–Vlasov SDEs
Denis Belomestny, Vytautė Pilipauskaitė, and Mark Podolskij · 2023
Closest in time.
The lan property for mckean–vlasov models in a mean-field regime
Laetitia Della Maestra and Marc Hoffmann · 2023
Closest in time.
On the coercivity condition in the learning of interacting particle systems
Zhongyang Li and Fei Lu · 2023
Closest in time.
On singular values of data matrices with general independent columns
Tianxing Mei, Chen Wang, and Jianfeng Yao · 2023
Closest in time.
Minimax rate for learning kernels in operators, 2025
Sichong Zhang, Xiong Wang, and Fei Lu · 2025
Closest in time.