Publications

@article{LiaoMaggioni:GMRA,

title = {Adaptive Geometric Multiscale Approximations for Intrinsically Low-dimensional Data},

author = {Wenjing Liao and Mauro Maggioni},

url = {http://jmlr.org/papers/v20/17-252.html},

year  = {2019},

date = {2019-01-01},

journal = {Journal of machine learning Research},

volume = {20},

number = {98},

pages = {1-63},

keywords = {geometric wavelets, Machine learning, multiscale analysis, statistics},

pubstate = {published},

tppubtype = {article}

}

@article{LMR:MGM1,

title = {Multiscale geometric methods for data sets I: Multiscale SVD, noise and curvature},

author = {Anna V Little and Mauro Maggioni and Lorenzo Rosasco},

year  = {2017},

date = {2017-01-01},

journal = {Applied and Computational Harmonic Analysis},

volume = {43},

number = {3},

pages = {504 - 567},

note = {Submitted: 2012, MIT-CSAIL-TR-2012-029/CBCL-310},

keywords = {geometric wavelets, Machine learning, Manifold Learning, multiscale analysis, statistics},

pubstate = {published},

tppubtype = {article}

}

@article{CIM:geometricdensityestimation,

title = {Geometric Measure Estimation},

author = {Mauro Maggioni},

year  = {2017},

date = {2017-01-01},

journal = {in preparation},

keywords = {geometric wavelets, statistics},

pubstate = {published},

tppubtype = {article}

}

@article{CM:MGM2,

title = {Multi-scale geometric methods for data sets II: Geometric Multi-Resolution Analysis},

author = {William K Allard and Guangliang Chen and Mauro Maggioni},

year  = {2012},

date = {2012-01-01},

journal = {Applied and Computational Harmonic Analysis},

volume = {32},

number = {3},

pages = {435--462},

keywords = {geometric wavelets, Machine learning, Manifold Learning, multiscale analysis, statistics},

pubstate = {published},

tppubtype = {article}

}

@article{FFT2011,

title = {Multi-Resolution Geometric Analysis for data in high dimensions},

author = {Guangliang Chen and Anna V Little and Mauro Maggioni},

year  = {2011},

date = {2011-08-01},

journal = {Proc. FFT 2011},

keywords = {geometric wavelets, Machine learning, Manifold Learning, multiscale analysis},

pubstate = {published},

tppubtype = {article}

}

@article{MM:Spars11talk,

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

author = {Mauro Maggioni},

url = {http://www.math.duke.edu/~mauro/research.html#Talks},

year  = {2011},

date = {2011-06-01},

note = {Presented at SPARS 11},

keywords = {dictionary learning, geometric wavelets, Machine learning, Manifold Learning, multiscale analysis},

pubstate = {published},

tppubtype = {article}

}

@article{CM:geometricwaveletsciss,

title = {Multiscale Geometric Wavelets for the Analysis of Point Clouds},

author = {Guangliang Chen and Mauro Maggioni},

year  = {2010},

date = {2010-01-01},

journal = {Proc. CISS 2010},

keywords = {geometric wavelets, Machine learning, Manifold Learning, multiscale analysis, spectral graph theory},

pubstate = {published},

tppubtype = {article}

}