Publications

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2021

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

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

In: 2021.

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

Mauro Maggioni Fei Lu, Sui Tang

Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories Journal Article

In: Foundation of Computational Mathematics, 2021.

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

2017

Crosskey, Miles C; Maggioni, Mauro

ATLAS: A geometric approach to learning high-dimensional stochastic systems near manifolds Journal Article

In: Journal of Multiscale Modeling and Simulation, 15 (1), pp. 110–156, 2017, (arxiv: 1404.0667).

Links | BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, statistics, stochastic systems

2013

Crosskey, Miles C; Maggioni, Mauro

Learning of intrinsically low-dimensional stochastic systems in high-dimensions, I Technical Report

2013, (in preparation).

BibTeX | Tags: Manifold Learning, stochastic systems

2011

Zheng, W; Rohrdanz, M A; Maggioni, Mauro; Clementi, Cecilia

Polymer reversal rate calculated via locally scaled diffusion map Journal Article

In: J. Chem. Phys., (134), pp. 144108, 2011.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, molecular dynamics, stochastic systems

Rohrdanz, M A; Zheng, W; Maggioni, Mauro; Clementi, Cecilia

Determination of reaction coordinates via locally scaled diffusion map Journal Article

In: J. Chem. Phys., (134), pp. 124116, 2011.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, molecular dynamics, stochastic systems

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

In: 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

2007

Coifman, Ronald R; Maggioni, Mauro

Multiscale Data Analysis with Diffusion Wavelets Journal Article

In: Proc. SIAM Bioinf. Workshop, Minneapolis, 2007.

BibTeX | Tags: diffusion geometry, diffusion wavelets, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems

2006

Coifman, Ronald R; Maggioni, Mauro

Diffusion Wavelets Journal Article

In: Appl. Comp. Harm. Anal., 21 (1), pp. 53–94, 2006, ((Tech. Rep. YALE/DCS/TR-1303, Yale Univ., Sep. 2004)).

BibTeX | Tags: diffusion geometry, diffusion wavelets, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems

Bremer, James Jr. C; Coifman, Ronald R; Maggioni, Mauro; Szlam, Arthur D

Diffusion Wavelet Packets Journal Article

In: Appl. Comp. Harm. Anal., 21 (1), pp. 95–112, 2006, ((Tech. Rep. YALE/DCS/TR-1304, 2004)).

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems

Coifman, Ronald R; Lafon, Stephane; Maggioni, Mauro; Keller, Y; Szlam, A D; Warner, F J; Zucker, S W

Geometries of sensor outputs, inference, and information processing Inproceedings

In: Athale, John Zolper; Eds. C Intelligent Integrated Microsystems; Ravindra A. (Ed.): Proc. SPIE, pp. 623209, 2006.

BibTeX | Tags: diffusion geometry, Laplacian eigenfunctions, Machine learning, Manifold Learning, random walks, spectral graph theory, stochastic systems

2005

Coifman, Ronald R; Maggioni, Mauro; Zucker, Steven W; Kevrekidis, Ioannis G

Geometric diffusions for the analysis of data from sensor networks Journal Article

In: Curr Opin Neurobiol, 15 (5), pp. 576–84, 2005.

BibTeX | Tags: diffusion geometry, Laplacian eigenfunctions, Machine learning, Manifold Learning, random walks, spectral graph theory, stochastic systems

Coifman, Ronald R; Lafon, Stephane; Lee, Ann B; Maggioni, Mauro; Nadler, B; Warner, Frederick; Zucker, Steven W

Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps Journal Article

In: Proceedings of the National Academy of Sciences of the United States of America, 102 (21), pp. 7426-7431, 2005.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, random walks, spectral graph theory, stochastic systems

Coifman, Ronald R; Lafon, S; Lee, A B; Maggioni, Mauro; Nadler, B; Warner, Frederick; Zucker, Steven W

Geometric diffusions as a tool for harmonic analysis and structure definition of data: Multiscale methods Journal Article

In: Proceedings of the National Academy of Sciences of the United States of America, 102 (21), pp. 7432–7438, 2005.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems

2004

Coifman, Ronald R; Maggioni, Mauro

Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms Technical Report

Dept. Comp. Sci., Yale University (YALE/DCS/TR-1289), 2004.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems