Publications

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2019

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

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

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

Bouvrie, Jake; Maggioni, Mauro

Geometric Multiscale Reduction for Autonomous and Controlled Nonlinear Systems Inproceedings

IEEE Conference on Decision and Control (CDC), 2012.

BibTeX | Tags: control theory, geometric wavelets, Machine learning, multiscale analysis

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

2011

Chen, Guangliang; Little, Anna V; Maggioni, Mauro

Multi-Resolution Geometric Analysis for data in high dimensions Journal Article

Proc. FFT 2011, 2011.

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

Maggioni, Mauro

Multiscale Geometric Dictionaries for Point-Cloud Data, Presented at SPARS 11, http://www.math.duke.edu/~mauro/research.html#Talks Journal Article

2011, (Presented at SPARS 11).

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

Chen, Guangliang; Maggioni, Mauro

Multiscale Geometric Dictionaries for Point-Cloud Data Inproceedings

Proc. SampTA, 2011.

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

2010

Monson, Eric; Chen, Guangliang; Brady, Rachel; Maggioni, Mauro

Data representation and exploration with Geometric Wavelets Inproceedings

Visual Analytics Science and Technology (VAST), 2010 IEEE Symposium, pp. 243–244, 2010.

Links | BibTeX | Tags: geometric wavelets, visualization

Monson, Eric; Chen, Guangliang; Brady, Rachel; Maggioni, Mauro

Data Representation and Exploration with Geometric Wavelets Inproceedings

Proceedings of the IEEE Symposium on Visual Analytics Science and Technology (VAST), 2010.

BibTeX | Tags: geometric wavelets, visualization

Chen, Guangliang; Maggioni, Mauro

Multiscale Geometric Wavelets for the Analysis of Point Clouds Journal Article

Proc. CISS 2010, 2010.

BibTeX | Tags: geometric wavelets, Machine learning, Manifold Learning, multiscale analysis, spectral graph theory

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