2024
Wu, Yantao; Maggioni, Mauro
Conditional Regression for the Nonlinear Single-Variable Model Journal Article
In: arXiv, 2024.
Links | BibTeX | Tags: Machine learning, regression, statistics, supervised learning
@article{nokey,
title = {Conditional Regression for the Nonlinear Single-Variable Model},
author = {Yantao Wu and Mauro Maggioni},
url = {https://doi.org/10.48550/arXiv.2411.09686},
year = {2024},
date = {2024-11-14},
urldate = {2024-11-14},
journal = {arXiv},
keywords = {Machine learning, regression, statistics, supervised learning},
pubstate = {published},
tppubtype = {article}
}
2022
Zhou, Jin; Maggioni, Mauro
Learning Multiscale Approximations of Functions between Manifolds PhD Thesis
2022.
Abstract | Links | BibTeX | Tags: geometric wavelets, Machine learning, Manifold Learning, statistics, supervised learning
@phdthesis{nokey,
title = {Learning Multiscale Approximations of Functions between Manifolds},
author = {Jin Zhou and Mauro Maggioni},
url = {https://jscholarship.library.jhu.edu/items/3a61646e-3c03-47a4-9768-180cf67e5fc4/full},
year = {2022},
date = {2022-07-18},
urldate = {2022-07-18},
abstract = {In many machine learning applications, data sets are in a high dimensional space but have a low-dimensional structure. The intrinsic dimension of the structure is often much smaller than the ambient dimension. This has given rise to the studies on manifold learning, when the low-dimensional structure is a manifold, and dictionary learning, when the low-dimensional structure is a set of sparse linear combinations of vectors from a finite dictionary. However, there has been very limited research for transformations between two high dimensional data sets. These transformations can be hard and expensive to store and compute. Furthermore, the existing algorithms are limited to be applied due to the high dimensionality of the two data sets. This thesis considers the problem of estimating a function between two high dimensional data sets. Both the domain and the range are supported on low-dimensional manifolds, given random samples in the domain and corresponding samples in the range perturbed by bounded noise. Geometric Multi-Resolution Analysis (GMRA) constructs low-dimensional geometric multiscale approximations of the data set lying on or near a manifold. We estimate these two unknown manifolds using GMRA and approximate the functions locally by multiscale linear maps. We obtain the optimal learning rate up to a log factor, depending on the intrinsic dimension of data, and circumvent the curse of dimensionality in the domain and the range.},
keywords = {geometric wavelets, Machine learning, Manifold Learning, statistics, supervised learning},
pubstate = {published},
tppubtype = {phdthesis}
}
2021
Liao, Wenjing; Maggioni, Mauro; Vigogna, Stefano
Multiscale regression on intrinsically low-dimensional sets Journal Article
In: Mathematics in Engineering, vol. 4, no. 4, 2021.
Links | BibTeX | Tags: Machine learning, Manifold Learning, statistics, supervised learning
@article{LiaoMaggioniVigogna:MultiscaleRegressionManifolds,
title = {Multiscale regression on intrinsically low-dimensional sets},
author = {Wenjing Liao and Mauro Maggioni and Stefano Vigogna},
url = {https://arxiv.org/abs/2101.05119v1
http://www.aimspress.com/aimspress-data/mine/2022/4/PDF/mine-04-04-028.pdf},
doi = {DOI:10.3934/mine.2022028},
year = {2021},
date = {2021-08-24},
urldate = {2021-08-24},
journal = {Mathematics in Engineering},
volume = {4},
number = {4},
keywords = {Machine learning, Manifold Learning, statistics, supervised learning},
pubstate = {published},
tppubtype = {article}
}
2020
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
In: Journal of Machine Learning Research, vol. 21, no. 104, pp. 1-39, 2020.
Links | BibTeX | Tags: Machine learning, statistics, supervised learning
@article{SparseObliqueRandomerForestsb,
title = {Sparse Projection Oblique Randomer Forests},
author = {Tyler M Tomita and James Browne and Cencheng Shen and Jaewon Chung and Jesse L Patsolic and Benjamin Falk and Carey E Priebe and Jason Yim and Randal Burns and Mauro Maggioni and Joshua T Vogelstein},
url = {http://jmlr.org/papers/v21/18-664.html},
year = {2020},
date = {2020-01-01},
journal = {Journal of Machine Learning Research},
volume = {21},
number = {104},
pages = {1-39},
keywords = {Machine learning, statistics, supervised learning},
pubstate = {published},
tppubtype = {article}
}
2019
Browne, James Tomita Tyler M.; Shen, Cencheng; Chung, Jaewon; Patsolic, Jesse L; Falk, Benjamin; Priebe, Carey E Yim Jason; RandalMaggioni, Mauro Burns; Vogelstein, Joshua T
Sparse Projection Oblique Randomer Forests Journal Article
In: Journ. Mach. Learn. Res., 2019.
Links | BibTeX | Tags: Machine learning, statistics, supervised learning
@article{SparseObliqueRandomerForests,
title = {Sparse Projection Oblique Randomer Forests},
author = {James Tomita Tyler M. Browne and Cencheng Shen and Jaewon Chung and Jesse L Patsolic and Benjamin Falk and Carey E Yim Jason Priebe and Mauro Burns RandalMaggioni and Joshua T Vogelstein},
url = {https://arxiv.org/pdf/1506.03410.pdf},
year = {2019},
date = {2019-01-01},
journal = {Journ. Mach. Learn. Res.},
keywords = {Machine learning, statistics, supervised learning},
pubstate = {published},
tppubtype = {article}
}
2017
Tomita, Tyler M; Maggioni, Mauro; Vogelstein, Joshua T
ROFLMAO: Robust Oblique Forests with Linear MAtrix Operations Proceedings Article
In: SIAM Data Mining, 2017.
BibTeX | Tags: Machine learning, statistics, supervised learning
@inproceedings{RerF,
title = {ROFLMAO: Robust Oblique Forests with Linear MAtrix Operations},
author = {Tyler M Tomita and Mauro Maggioni and Joshua T Vogelstein},
year = {2017},
date = {2017-01-01},
booktitle = {SIAM Data Mining},
keywords = {Machine learning, statistics, supervised learning},
pubstate = {published},
tppubtype = {inproceedings}
}
Tomita, Tyler; Maggioni, Mauro; Vogelstein, Joshua T
ROFLMAO: Robust Oblique Forests with Linear MAtrix Operations Proceedings Article
In: 2017.
BibTeX | Tags: Machine learning, statistics, supervised learning
@inproceedings{TMJ:ROFLMAO,
title = {ROFLMAO: Robust Oblique Forests with Linear MAtrix Operations},
author = {Tyler Tomita and Mauro Maggioni and Joshua T Vogelstein},
year = {2017},
date = {2017-01-01},
keywords = {Machine learning, statistics, supervised learning},
pubstate = {published},
tppubtype = {inproceedings}
}
2016
Liao, Wenjing; Maggioni, Mauro; Vigogna, S
Learning adaptive multiscale approximations to data and functions near low-dimensional sets Proceedings Article
In: Proceedings of the IEEE Information Theory Workshop, 2016, (Cambridge, UK).
BibTeX | Tags: Machine learning, Manifold Learning, statistics, supervised learning
@inproceedings{LMV:IEEE2016InformationTheory,
title = {Learning adaptive multiscale approximations to data and functions near low-dimensional sets},
author = {Wenjing Liao and Mauro Maggioni and S Vigogna},
year = {2016},
date = {2016-01-01},
booktitle = {Proceedings of the IEEE Information Theory Workshop},
note = {Cambridge, UK},
keywords = {Machine learning, Manifold Learning, statistics, supervised learning},
pubstate = {published},
tppubtype = {inproceedings}
}
2015
Tomita, Tyler M; Maggioni, Mauro; Vogelstein, Joshua T
Randomer Forests Journal Article
In: arXiv preprint arXiv:1506.03410, 2015.
Links | BibTeX | Tags: Machine learning, statistics, supervised learning
@article{Tomita2017b,
title = {Randomer Forests},
author = {Tyler M Tomita and Mauro Maggioni and Joshua T Vogelstein},
url = {https://arxiv.org/abs/1506.03410},
year = {2015},
date = {2015-01-01},
journal = {arXiv preprint arXiv:1506.03410},
keywords = {Machine learning, statistics, supervised learning},
pubstate = {published},
tppubtype = {article}
}
2006
Maggioni, Mauro; Davis, Gus L; Warner, F J; Geshwind, Frank B; Coppi, Andreas C; DeVerse, R A; Coifman, Ronald R
Hyperspectral microscopic analysis of normal, benign and carcinoma microarray tissue sections Conference
vol. 6091, no. 1, SPIE, San Jose, CA, USA, 2006.
BibTeX | Tags: Clustering, hyperspectral imaging, imaging, Machine learning, supervised learning
@conference{maggioni:60910I,
title = {Hyperspectral microscopic analysis of normal, benign and carcinoma microarray tissue sections},
author = {Mauro Maggioni and Gus L Davis and F J Warner and Frank B Geshwind and Andreas C Coppi and R A DeVerse and Ronald R Coifman},
editor = {Robert R Alfano and Alvin Katz},
year = {2006},
date = {2006-01-01},
journal = {Optical Biopsy VI},
volume = {6091},
number = {1},
pages = {60910I},
publisher = {SPIE},
address = {San Jose, CA, USA},
keywords = {Clustering, hyperspectral imaging, imaging, Machine learning, supervised learning},
pubstate = {published},
tppubtype = {conference}
}
- Lectures at Summer School at Peking University, July 2017.
- PCMI Lectures, Summer 2016: Lecture 1, Lecture 2, Problems/discussion points
- Google Scholar
- Papers on the ArXiv
- Papers on MathsciNet
- Tutorials on diffusion geometry and multiscale analysis on graphs at the MRA Internet Program at IPAM: Part I and Part II.
- Diffusion Geometries, Diffusion Wavelets and Harmonic Analysis of large data sets, IPAM, Multiscale Geometric Analysis Program, Fall 2004.
- Diffusion Geometries, global and multiscale, IPAM, 2005.