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

Lanteri, Alessandro; Maggioni, Mauro; Vigogna, Stefano

Conditional regression for single-index models Miscellaneous

2020.

Links | BibTeX | Tags: regression, statistics

Tomita, Tyler M; Browne, James; Shen, Cencheng; Chung, Jaewon; Patsolic, Jesse L; Falk, Benjamin; Priebe, Carey E; Yim, Jason; Burns, Randal; Maggioni, Mauro; Vogelstein, Joshua T

Sparse Projection Oblique Randomer Forests Journal Article

Journal of Machine Learning Research, 21 (104), pp. 1-39, 2020.

Links | BibTeX | Tags: Machine learning, statistics, supervised learning

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

Browne, James Tomita Tyler M; Shen, Cencheng; Chung, Jaewon; Patsolic, Jesse L; Falk, Benjamin; Priebe, Carey Yim Jason E; RandalMaggioni, Mauro Burns; Vogelstein, Joshua T

Sparse Projection Oblique Randomer Forests Journal Article

Journ. Mach. Learn. Res., 2019.

Links | BibTeX | Tags: Machine learning, statistics, supervised learning

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

Vogelstein, Joshua T; Bridgeford, Eric W; Wang, Qing; Priebe, Carey E; Maggioni, Mauro; Shen, Cencheng

Discovering and deciphering relationships across disparate data modalities Journal Article

eLife, pp. 8:e41690, 2019.

Links | BibTeX | Tags: Machine learning, statistics, Unsupervised Learning

Liao, Wenjing; Maggioni, Mauro; Vigogna, S

Multiscale regression on intrinsically low-dimensional sets Journal Article

in preparation, 2019.

BibTeX | Tags: Machine learning, Manifold Learning, statistics, supervised learning

Liao, Wenjing; Maggioni, Mauro

Adaptive Geometric Multiscale Approximations for Intrinsically Low-dimensional Data Journal Article

Journal of machine learning Research, 20 (98), pp. 1-63, 2019.

Links | BibTeX | Tags: geometric wavelets, Machine learning, multiscale analysis, statistics

2017

Crosskey, Miles C; Maggioni, Mauro

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

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

Tomita, Tyler M; Maggioni, Mauro; Vogelstein, Joshua T

ROFLMAO: Robust Oblique Forests with Linear MAtrix Operations Inproceedings

SIAM Data Mining, 2017.

BibTeX | Tags: Machine learning, statistics, supervised learning

Tomita, Tyler; Maggioni, Mauro; Vogelstein, Joshua T

ROFLMAO: Robust Oblique Forests with Linear MAtrix Operations Inproceedings

2017.

BibTeX | Tags: Machine learning, statistics, supervised learning

Little, Anna V; Maggioni, Mauro; Rosasco, Lorenzo

Multiscale geometric methods for data sets I: Multiscale SVD, noise and curvature Journal Article

Applied and Computational Harmonic Analysis, 43 (3), pp. 504 – 567, 2017, (Submitted: 2012, MIT-CSAIL-TR-2012-029/CBCL-310).

BibTeX | Tags: geometric wavelets, Machine learning, Manifold Learning, multiscale analysis, statistics

Maggioni, Mauro

Geometric Measure Estimation Journal Article

in preparation, 2017.

BibTeX | Tags: geometric wavelets, statistics

2016

Shen, Cencheng; Priebe, Carey E; Maggioni, Mauro; Vogelstein, Joshua T

Dependence Discovery from Multimodal Data via Multiscale Generalized Correlation Journal Article

Submitted, 2016.

BibTeX | Tags: Machine learning, statistics, Unsupervised Learning

Bongini, Mattia; Fornasier, Massimo; Hansen, M; Maggioni, Mauro

Inferring Interaction Rules From Observations of Evolutive Systems I: The Variational Approach

2016.

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

Liao, Wenjing; Maggioni, Mauro; Vigogna, S

Learning adaptive multiscale approximations to data and functions near low-dimensional sets Inproceedings

Proceedings of the IEEE Information Theory Workshop, 2016, (Cambridge, UK).

BibTeX | Tags: Machine learning, Manifold Learning, statistics, supervised learning

2015

Tomita, Tyler M; Maggioni, Mauro; Vogelstein, Joshua T

Randomer Forests Journal Article

arXiv preprint arXiv:1506.03410, 2015.

Links | BibTeX | Tags: Machine learning, statistics, supervised learning

2013

Maggioni, Mauro

Geometric Estimation of Probability Measures in High Dimensions Inproceedings

IEEE Asilomar Conference on Signals, Systems and Computers, 2013.

BibTeX | Tags: geometric wavelets, statistics

2012

Allard, William K; Chen, Guangliang; Maggioni, Mauro

Multi-scale geometric methods for data sets II: Geometric Multi-Resolution Analysis Journal Article

Applied and Computational Harmonic Analysis, 32 (3), pp. 435–462, 2012.

BibTeX | Tags: geometric wavelets, Machine learning, Manifold Learning, multiscale analysis, statistics

2010

Chen, Guangliang; Maggioni, Mauro

Multiscale Geometric Methods for Data Sets III: multiple planes Journal Article

in preparation, 2010.

BibTeX | Tags: Machine learning, Manifold Learning, multiscale analysis, statistics

2009

Little, Anna V; Jung, Y -M; Maggioni, Mauro

Multiscale Estimation of Intrinsic Dimensionality of Data Sets Inproceedings

Proc. A.A.A.I., 2009.

BibTeX | Tags: Machine learning, Manifold Learning, multiscale analysis, statistics

Little, Anna V; Lee, J; Jung, Y -M; Maggioni, Mauro

Estimation of intrinsic dimensionality of samples from noisy low-dimensional manifolds in high dimensions with multiscale $SVD$ Inproceedings

Proc. S.S.P., 2009.

BibTeX | Tags: Machine learning, Manifold Learning, multiscale analysis, statistics

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