Publications

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2021

Felix X.-F. Ye Sichen Yang, Mauro Maggioni

Nonlinear model reduction for slow-fast stochastic systems near manifolds Journal Article

2021.

Abstract | Links | BibTeX | Tags: inverse problems, Machine learning, Manifold Learning, model reduction, random walks, statistics, stochastic systems

Mauro Maggioni Jason Miller, Hongda Qiu Ming Zhong

Learning Interaction Kernels for Agent Systems on Riemannian Manifolds Online

2021.

Abstract | Links | BibTeX | Tags: agent-based models, interacting particle systems, Machine learning, model reduction, statistics

2020

Lu, Fei; Li, Zhongyang; Maggioni, Mauro; Tang, Sui; Zhang, Cheng

On the identifiability of interaction functions in systems of interacting particles Journal Article Forthcoming

to appear in Stochastic Processes and their Applications, Forthcoming.

Links | BibTeX | Tags: agent-based models, interacting particle systems, inverse problems, Machine learning, model reduction, statistics

2019

Maggioni, Mauro; Miller, Jason; Zhong, Ming

Data-driven Discovery of Emergent Behaviors in Collective Dynamics Journal Article

Physica D: Nonlinear Phenomena, 2019.

Links | BibTeX | Tags: agent-based models, interacting particle systems, inverse problems, Machine learning, model reduction, statistics

Lu, Fei; Zhong, Ming; Tang, Sui; Maggioni, Mauro

Nonparametric inference of interaction laws in systems of agents from trajectory data Journal Article

Proceedings of the National Academy of Sciences, 116 (29), pp. 14424–14433, 2019, ISSN: 0027-8424.

Links | BibTeX | Tags: agent-based models, interacting particle systems, inverse problems, Machine learning, model reduction, statistics

2008

Coifman, Ronald R; Kevrekidis, Ioannis G; Lafon, Stephane; Maggioni, Mauro; Nadler, Boaz

Diffusion Maps, reduction coordinates and low dimensional representation of stochastic systems Journal Article

SIAM J.M.M.S., 7 (2), pp. 842–864, 2008.

BibTeX | Tags: diffusion geometry, dynamical systems, Laplacian eigenfunctions, Machine learning, model reduction, stochastic systems

0000

Lu, Fei; Maggioni, Mauro; Tang, Sui

Learning interaction kernels in heterogeneous systems of agents from multiple trajectories Journal Article

Journ. Mach. Learn. Res., 22 (32), pp. 1–67, 0000.

Links | BibTeX | Tags: agent-based models, interacting particle systems, inverse problems, Machine learning, model reduction, statistics