MAURO MAGGIONI

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Teaching
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Curriculum Vitae

RESEARCH INTERESTS

My interests are in harmonic analysis, wavelets, multiscale analysis in general, and in particular with applications to the analysis of graphs and data sets viewed as discrete or sampled continuous geometric structures embedded in high-dimensional spaces. I am interested in machine learning problems, mostly from the point of view of approximation and fitting of functions under random noise and random sampling.

1. Diffusion Wavelets: a recent construction of new families of wavelets and Multi-resolution Analyses on graphs, manifolds and point clouds. Pictures, papers and presentations available.

2. Diffusion Geometries: here are some links to the use of diffusion geometries in data analysis.
3. Multiscale Analysis of Markov Decision Processes
4. Modeling of neural activity.
5. Harmonic Analysis and Wavelets: here I talk a bit about Harmonic Analysis and provide links to related web pages.
6. HyperSpectral Imaging and Pathology: hyper-spectral imaging applied to pathology
7. Modeling of the behavior of small networks of neurons, and interactions with glia cells

COLLABORATORS

Ronald R. Coifman, David Brady, Sridhar Mahadevan, Raanan Schul, Sayan Mukherjee, Andreas Coppi, Frank B. Geshwind, Richard DeVerse, Gustave L. Davis, Francis Woolfe, Peter W. Jones, Stephane Lafon, Sridhar Mahadevan, M. Mahoney, Francois Meyer, Hrushikesh Mhaskar, Arthur D. Szlam, Johan Walden, Frederick J. Warner, Steven W. Zucker, Petros Drineas, James C. Bremer Jr., Anna Lin, Eric Monson, Xilin Shen, William Goetzmann