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Publications

• Papers : Math/Applied math, Hyperspectral pathology and Medicine , Markov Devision Processes, Finance, Miscellanea.
• Talks
• Tutorials

PAPERS

Math/Applied Math

• Universal Local Parametrizations via Heat Kernels and Eigenfunctions of the Laplacian, P.W. Jones, M. Maggioni, R. Schul, submitted, 2007. A short version has been accepted to P.N.A.S, and a short preprint is available here. Localized eigenfunctions appear incidentally in this paper. See Terry Tao's discussion on scarring for the Bunimovich stadium and the pictures by Denis Grebenkov here. More pictures and talks about Laplacian eigenfunctions can be found on Naoki Saito's page on the ICIAM minisymposium on Laplacian eigenfunctions and their applications. See also D. Stone's page, and in particular his paper on Modes of wave-chaotic dielectric resonators.
• A general framework for adaptive regularization based on diffusion processes on graphs, A.D. Szlam, M. Maggioni, R.R. Coifman. To appear in J.M.L.R., 2006.
• Multiscale Analysis of Data Sets using Diffusion Wavelets, M.Maggioni and R.R. Coifman, Proc. Data Mining for BIOmedical Informatics.
• Diffusion Polynomial Frames on measure metric spaces, M. Maggioni, H.N. Mhaskar. To appear in ACHA, 2007.
• Tensor-CUR Decompositions for Tensor-Based Data, M Mahoney, M Maggioni, and P Drineas. to appear in SIAM Jour. on Mat. Anal. and Appl., 2007.
• Geometries of sensor outputs, inference and information processing, R.R. Coifman, S Lafon, M Maggioni, Y Keller, AD Szlam, F J Warner, S W Zucker. Proc. SPIE, Vol. 6232, 623204, May 2006.
• Geometric diffusions for the analysis of data from sensor networks, RR Coifman, M Maggioni, SW Zucker, and IG Kevrekidis. Curr. Opin. Neurobiol., 15(5):576--84, October 2005.
• Biorthogonal diffusion wavelets for multiscale representations on manifolds and graphs, M Maggioni, JC Bremer Jr, RR Coifman, and AD Szlam. Proc. SPIE Wavelet XI, Vol 5914, 59141M, Sep 2005.
• Diffusion-driven multiscale analysis on manifolds and graphs:top-down and bottom-up constructions, M Maggioni, AD Szlam, RR Coifman, and JC Bremer Jr. Proc. SPIE Wavelet XI, Vol 5914, 59141D, Sep 2005.
• Diffusion wavelet packets, JC Bremer, RR Coifman, M Maggioni, and AD Szlam. Appl. Comp. Harm. Anal., 15(1): 95--112.
• Diffusion wavelets for multiscale analysis on graphs and manifolds, RR Coifman and M Maggioni. Proc. Conf. Interactions Splines and Wavelets, Oct. 2005.
• Diffusion wavelets, RR Coifman and M Maggioni. Appl. Comp. Harm. Anal., 21(1):53--94, July 2006.
• Geometric diffusions as a tool for harmonic analysis and structure definition of data. part i: Diffusion maps, RR Coifman, S Lafon, A Lee, M Maggioni, B Nadler, FJ Warner, and SW Zucker. Proc. of Nat. Acad. Sci., 102:7426--7431, May 2005.
• Geometric diffusions as a tool for harmonic analysis and structure definition of data. part ii: Multiscale methods, RR Coifman, S Lafon, A Lee, M Maggioni, B Nadler, FJ Warner, and SW Zucker. Proc. of Nat. Acad. Sci., 102:7432--7438, May 2005.
• Multiresolution analysis associated to diffusion semigroups: construction and fast algorithms, RR Coifman and M Maggioni. Tech. Rep. YALE/DCS/TR-1292, Dept. Comp. Sci., Yale University, June 2004. This has been superceded by Diffusion Wavelets.
• Wavelet frames on groups and hypergroups via discretization of Calder\'on formulas, M Maggioni. Monats. Mat., (143):299--331, 2004.
• On the box problem, NH Katz, E Krop, and M Maggioni, Math. Research Letters, 4:515--519, 2002.
• M-band Burt-Adelson wavelets, M Maggioni, Appl. Comput. Harm. Anal., 3:286--311, 2000.
• Characterization of tight wavelet frames with arbitrary matrix dilations and tightness preserving oversampling, CK Chui, W Czaja, M Maggioni, and GL Weiss, J Four Anal App, 8(2):173--200, 2002.
• Critical exponent of short even filters and biorthogonal Burt-Adelson wavelets, M Maggioni, Monats. Math., 131(1):49--70, 2000.
  

Hyperspectral Imaging, Pathology & Medical Applications

• Hyper-spectral microscopic discrimination between normal and cancerous colon biopsies, Franco Woolfe, Mauro Maggioni, Gustave Davis, Frederick Warner, Ronald Coifman, and Steven Zucker, submitted, 2006.
• Hyperspectral Microscopic Analysis of Normal, Adenoma and Carcinoma Microarray Tissue Sections, M Maggioni, FJ Warner, GL Davis, RR Coifman, FB Geshwind, AC Coppi, and RA DeVerse, SPIE Optical Biopsy, 2006, Vol. 6091, 60910I .
• QEEG-based classification with wavelet packets and microstate features for triage applications in the ER, E Causevic, RR Coifman, R Isenhart, A Jacquin, ER John, M Maggioni, LS Prichep, FJ Warner, ICASSP, 2006. Here is a preprint of the poster.
• Algorithms from signal and data processing applied to hyperspectralanalysis: Application to discriminating normal and malignant microarray colon tissue sections, M Maggioni, FJ Warner, GL Davis, RR Coifman, FB Geshwind, AC Coppi, and RA DeVerse, submitted, 2004.
• Algorithms from signal and data processing applied to hyperspectral analysis: Application to discriminating normal and malignant microarray colon tissue sections, M Maggioni, FJ Warner, GL Davis, RR Coifman, FrankB Geshwind, AndreasC Coppi, and RichardA DeVerse, Tech. Rep. 1311, Yale University, Dept. Comp. Sci., Feb 2004.
• Spectral analysis of normal and malignant microarray tissue sections using a novel micro-optoelectrialmechanical system, GL Davis, M Maggioni, FJ Warner, FB Geshwind, AC Coppi, RA DeVerse, and RR Coifman, Mod. Pathol., 17(1:358A), 2004.
• Hyper-spectral analysis of normal and malignant colon tissue microarray sections using a novel dmd system, GL Davis, M Maggioni, FJ Warner, FB Geshwind, AC Coppi, RA DeVerse, and RR Coifman, Poster, Optical Imaging NIH workshop, to appear in Proc., Sep 2004.
• Spatial-spectral analysis of colon carcinoma, GL Davis, M Maggioni, RR Coifman, R Levinson, and D Rimm, Mod. Path., 2004. In print.
  

Markov Decision Processes, Learning, Artificial Intelligence

• Proto-value Functions: A Laplacian Framework for Learning Representation and Control in Markov Decision Processes, S Mahadevan, M Maggioni. J.M.L.R., 2007.
• Multiscale Diffusion Bases for Policy Iteration in Markov Decision Processes, M Maggioni, S Mahadevan. Submitted, 2006.
• Simultaneous Learning of Representation and Control In Continuous Domains, S Mahadevan, Kimberly Ferguson, Sarah Osentoski and M Maggioni, AAAI 2006.
• Value function approximation with diffusion wavelets and Laplacian eigenfunctions, S Mahadevan and M Maggioni, Univ. of Massachusetts, Dept. of Computer Science TR-2005-38, and NIPS, accepted}, 2005.
• Fast direct policy evaluation using multiscale analysis of Markov diffusion processes, M Maggioni and S Mahadevan, Univ. of Mass., Dept. of Computer Science TR-2005-39, and ICML 2005.
  

Finance

• Beauty is in the bid of the beholder: an empirical basis for style, W N Goetzmann, P W Jones, M Maggioni, J Walden, submitted, Sept. 2004.

Miscellanea

• Auditory display of hyperspectral colon tissue images using vocal synthesis models, RJ Cassidy, JBerger, M Maggioni, and RR Coifman, Proc. 2004 Intern. Conf. Auditory Display}, 2004.
• Multi-scale approximation with hierarchical radial basis functions networks, S Ferrari, M Maggioni, and NA Borghese, IEEE Trans. on Neural Networks, 15(1):178--188, January 2004.
  

TALKS

• Harmonic and multiscale analysis of and on data sets in high dimensions, 6/12/08, I.M.S. at N.U.S. in Singapore.
• Multiscale Analysis on graphs via diffusion, 5/14/08, DIMACS.
• Analysis on and analysis of data sets with diffusion operators, 4/14/08, CAAM, Rice Univ, 4/24/08, Univ. of Maryland College Park.
• Geometry of data sets in high dimensions and learning, 4/11/08, Visualization Forum, Duke Univ.
• Geometry of data sets in high dimensions and learning, 4/8/08, O.N.R. workshop, Naval Postgraduate School, Monterey, CA.
• Harmonic Analysis on data sets in high-dimensional space, 3/3/08, Parametrizations of manifolds with heat kernels, multiscale analysis on graphs, and applications to analysis of data sets, 3/5/08, SC/IMI, Columbia, SC.
• Diffusion analysis of and on data sets through diffusion operators, 1/07/08, AMS, San Diego.
• Diffusion analysis of and on data sets through diffusion operators, 11/02/07, UNC.
• CDI NSF program panelist short presentation, 10/29/07, IPAM in UCLA.
• Diffusion analysis of and on data sets through diffusion operators, conference on Geometric and Topological Approaches to Data Analysis, 10/08/07, TTI.
• Diffusion analysis of and on graphs, and high-dimensional data , conference on Dynamic Searches and Knowledge Building, 10/03/07, IPAM in UCLA.
• Diffusion analysis of and on graphs, and high-dimensional data , conference on Trends in Applied Harmonic Analysis, 9/27/07, Banff International Research Station in Banff.
• Diffusion analysis of and on graphs, and high-dimensional data , talk given at the minisymposium on Eigenfunctions of the Laplacian, held at ICIAM 2007.
• Diffusion processes on graphs and multiscale analysis on data sets in high-dimensions, talk given at the Twelth International Conference in Approximation Theory in San Antonio, Texas, March 6th, 2007.
• Analisi armonica multiscala applicata all'analisi di dati digitali in alte dimensioni e su grafi, Universita' degli Studi Milano-Bicocca, Dec. 20th, 2006.
• Diffusion processes on graphs, analysis of high-dimensional data, applications to imaging, Duke Univ., Oct. 11th, 2006
• Diffusion Wavelets for multiscale analysis on manifolds and graphs: constructions and applications, Duke Univ., Nov. 7th, 2005
• Diffusion Wavelets on Graphs and Manifolds, TTI Chicago, 2005.
  

TUTORIALS

• 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.

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