Publications

@article{YYM:ATLAS2,

title = {Nonlinear model reduction for slow-fast stochastic systems near manifolds},

author = {Felix X.-F. Ye and Sichen Yang and Mauro Maggioni},

url = {https://arxiv.org/abs/2104.02120v1},

doi = {https://doi.org/10.1007/s43670-023-00055-9},

year  = {2023},

date = {2023-11-04},

urldate = {2023-11-04},

journal = {J Nonlinear Sci},

volume = {34},

issue = {22},

abstract = {We introduce a nonlinear stochastic model reduction technique for high-dimensional stochastic dynamical systems that have a low-dimensional invariant effective manifold with slow dynamics, and high-dimensional, large fast modes. Given only access to a black box simulator from which short bursts of simulation can be obtained, we estimate the invariant manifold, a process of the effective (stochastic) dynamics on it, and construct an efficient simulator thereof. These estimation steps can be performed on-the-fly, leading to efficient exploration of the effective state space, without losing consistency with the underlying dynamics. This construction enables fast and efficient simulation of paths of the effective dynamics, together with estimation of crucial features and observables of such dynamics, including the stationary distribution, identification of metastable states, and residence times and transition rates between them.},

keywords = {inverse problems, Machine learning, Manifold Learning, model reduction, random walks, statistics, stochastic systems},

pubstate = {published},

tppubtype = {article}

}

@article{IdentifiabilityInteractionFunctions,

title = {On the identifiability of interaction functions in systems of interacting particles},

author = {Fei Lu and Zhongyang Li and Mauro Maggioni and Sui Tang and Cheng Zhang},

url = {https://arxiv.org/abs/1912.11965},

doi = {https://doi.org/10.1016/j.spa.2020.10.005},

year  = {2021},

date = {2021-02-01},

journal = {Stochastic Processes and their Applications},

volume = {132},

keywords = {agent-based models, interacting particle systems, inverse problems, Machine learning, model reduction, statistics},

pubstate = {published},

tppubtype = {article}

}

@article{DiscoveryEmergentBehaviors,

title = {Data-driven Discovery of Emergent Behaviors in Collective Dynamics},

author = {Mauro Maggioni and Jason Miller and Ming Zhong},

url = {https://arxiv.org/abs/1912.11123},

doi = {https://doi.org/10.1016/j.physd.2020.132542},

year  = {2019},

date = {2019-01-01},

journal = {Physica D: Nonlinear Phenomena},

keywords = {agent-based models, interacting particle systems, inverse problems, Machine learning, model reduction, statistics},

pubstate = {published},

tppubtype = {article}

}

@article{LMTZ:AgentsNonParametric,

title = {Nonparametric inference of interaction laws in systems of agents from trajectory data},

author = {Fei Lu and Ming Zhong and Sui Tang and Mauro Maggioni},

url = {https://www.pnas.org/content/116/29/14424},

doi = {10.1073/pnas.1822012116},

issn = {0027-8424},

year  = {2019},

date = {2019-01-01},

journal = {Proceedings of the National Academy of Sciences},

volume = {116},

number = {29},

pages = {14424--14433},

publisher = {National Academy of Sciences},

keywords = {agent-based models, interacting particle systems, inverse problems, Machine learning, model reduction, statistics},

pubstate = {published},

tppubtype = {article}

}

@article{CKLMN:DiffusionMapsReductionCoordinates,

title = {Diffusion Maps, reduction coordinates and low dimensional representation of stochastic systems},

author = {Ronald R Coifman and Ioannis G Kevrekidis and Stephane Lafon and Mauro Maggioni and Boaz Nadler},

year  = {2008},

date = {2008-01-01},

journal = {SIAM J.M.M.S.},

volume = {7},

number = {2},

pages = {842--864},

keywords = {diffusion geometry, dynamical systems, Laplacian eigenfunctions, Machine learning, model reduction, stochastic systems},

pubstate = {published},

tppubtype = {article}

}

@article{LMT:AgentsHeterogeneous,

title = {Learning interaction kernels in heterogeneous systems of agents from multiple trajectories},

author = {Fei Lu and Mauro Maggioni and Sui Tang},

url = {https://jmlr.csail.mit.edu/papers/volume22/19-861/19-861.pdf},

journal = {Journ. Mach. Learn. Res.},

volume = {22},

number = {32},

pages = {1--67},

keywords = {agent-based models, interacting particle systems, inverse problems, Machine learning, model reduction, statistics},

pubstate = {published},

tppubtype = {article}

}