Mauro Maggioni
Research Professor of Mathematics
I am interested in novel constructions inspired by classical harmonic analysis that allow to analyse the geometry of manifolds and graphs and functions on such structures. These constructions are motivated by several important applications across many fields. In many situations we are confronted with large amounts of apparently unstructured highdimensional data. I find fascinating to study the intrinsic geometry of such data, and exploiting in order to study, explore, visualize, characterize statistical properties of the data. Oftentimes such data is modeled as a manifold (or something "close to a manifold") or a graph, and functions on these spaces need to approximated or "learned" from the data and experiments on the data. For example each data point could be a document, a graph associated with the documents could be given by for example hyperlinks, or by similarity of word frequencies, and a function on the set of documents would be how interesting I personally score a document. One may wish to learn how to predict how much I would score documents I have not seen yet. This can be cast as an approximation problem on the graph of documents, and it turns out that one can generalize Euclideantype approximation techniques (in particular multiscale regression techniques) to tackle this problem. An application of the above techniques that I find particularly interesting is Markov Decision Processes and Reinforcement Learning, where the problem of learning a behaviour from experience is cast in a rather general optimization and learning framework that involves approximations of functions and operators on graphs and manifolds. I am also interested in imaging, in particular I am working on novel classes of nonlinear denoising algorithms, based on diffusion processes on graphs of features built from images. Another interest is in the geometry of multiscale dynamical systems, and the construction of algorithms for the empirical construction of approximate equations for such systems. I also work on hyperspectral imaging, in particular in building automatic classifiers for discriminating normal from cancerous biopsies, for automated diagnostics and pathology.
Current Appointments & Affiliations
 Research Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2016
Contact Information
 117 Physics Bldg, Office #293, Durham, NC 27708
 319 Gross Hall, Information Initiative At Duke, Durham, NC 27708
 (919) 6602825
 http://www.math.duke.edu/~mauro
 Background

Education, Training, & Certifications
 Ph.D., Washington University 2002
 M.S., Washington University 2000

Duke Appointment History
 Professor in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2012  2016
 Professor in the Department of Electrical and Computer Engineering, Electrical and Computer Engineering, Pratt School of Engineering 2013  2016
 Professor in the Department of Computer Science, Computer Science, Trinity College of Arts & Sciences 2014  2016
 Assistant Professor in the Department of Computer Science, Computer Science, Trinity College of Arts & Sciences 2006  2014
 Assistant Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2006  2012
 Recognition

Awards & Honors
 AMS Fellow. AMS. January 2013
 Fellow. American Mathematical Society. 2013
 Faculty Early Career Development (CAREER) Program. National Science Foundation. 2009
 Sloan Fellowship. Sloan Foundation. March 2008
 Sloan Research FellowshipMathematics. Alfred P. Sloan Foundation. 2008
 Popov Prize. Popov Foundation. 2007
 Research

Selected Grants
 Dimension Reduction for Open Quantum Systems awarded by Stanford University 2016  2020
 BIGDATA:Collaborative Research:F:From Data Geometries to Information Networks awarded by National Science Foundation 2016  2019
 Statistical learning for highdimensional stochastic dynamical systems awarded by National Science Foundation 2015  2018
 EMSW21RTG: Geometric, Topological awarded by National Science Foundation 2011  2018
 Collaborative Research: SI2CHEExTASY Extensible Tools for Advanced Sampling and AnalYsis awarded by National Science Foundation 2013  2017
 ATD: Online Multiscale Algorithms for Geometric Density Estimation in HighDimensions and Persistent Homology of Data fo awarded by National Science Foundation 2012  2017
 Structured Dictionary Models and Learning for High Resolution Images awarded by National Science Foundation 2013  2017
 Geometric Approximation and Estimation of Probability Measures in High Dimensions awarded by Air Force Office of Scientific Research 2013  2016
 Multiscale Analysis of Dynamic Graphs awarded by Office of Naval Research 2012  2016
 XRay Scatter and Phase Imaging for Explosive Detection awarded by US Department of Homeland Security 2011  2015
 Mathematical Foundations of Multiscale Graph Representations and Interactive Learning awarded by National Science Foundation 2008  2014
 CAREER awarded by National Science Foundation 2009  2014
 Collaborative Proposal awarded by National Science Foundation 2008  2013
 NeTS: Small: Collaborative Research: awarded by National Science Foundation 2009  2013
 Collaborative Research: Learning Multiscale Representaions Using Harmonic Analysis on Graphs awarded by National Science Foundation 2008  2012
 Geometric Modeling OF and Function Approximation ON High Dimensional, MultiModal Data Sets awarded by Office of Naval Research 2007  2010
 Towards multiscale geometric awarded by Office of Naval Research 2009
 Diffusion awarded by National Science Foundation 2006  2009
 Publications & Artistic Works

Selected Publications

Academic Articles
 Murphy, JM, and Maggioni, M. "Unsupervised Clustering and Active Learning of Hyperspectral Images With Nonlinear Diffusion." Ieee Transactions on Geoscience and Remote Sensing (2018): 117. Full Text
 Little, AV, Maggioni, M, and Rosasco, L. "Multiscale geometric methods for data sets I: Multiscale SVD, noise and curvature." Applied and Computational Harmonic Analysis 43, no. 3 (November 2017): 504567. Full Text
 "Multiscale strategies for computing optimal transport." Journal of Machine Learning Research 18 (August 1, 2017): 132.
 Bongini, M, Fornasier, M, Hansen, M, and Maggioni, M. "Inferring interaction rules from observations of evolutive systems I: The variational approach." Mathematical Models and Methods in Applied Sciences 27, no. 05 (May 2017): 909951. Full Text
 Crosskey, M, and Maggioni, M. "ATLAS: A Geometric Approach to Learning HighDimensional Stochastic Systems Near Manifolds." Multiscale Modeling & Simulation 15, no. 1 (January 2017): 110156. Full Text
 Goetzmann, WN, Jones, PW, Maggioni, M, and Walden, J. "Beauty is in the bid of the beholder: An empirical basis for style." Research in Economics 70, no. 3 (September 2016): 388402. Full Text
 Wang, Y, Chen, G, and Maggioni, M. "HighDimensional Data Modeling Techniques for Detection of Chemical Plumes and Anomalies in Hyperspectral Images and Movies." Ieee Journal of Selected Topics in Applied Earth Observations and Remote Sensing 9, no. 9 (September 2016): 43164324. Full Text
 "Multiscale dictionary learning: Nonasymptotic bounds and robustness." Journal of Machine Learning Research 17 (January 1, 2016).
 Maggioni, M. "Geometry of Data and Biology." Notices of the American Mathematical Society 62, no. 10 (November 1, 2015): 11851188. Full Text
 Altemose, N, Miga, KH, Maggioni, M, and Willard, HF. "Genomic characterization of large heterochromatic gaps in the human genome assembly." Plos Computational Biology 10, no. 5 (May 15, 2014): e1003628null. Full Text
 Maggioni, M. "Geometric estimation of probability measures in highdimensions." 2013 Asilomar Conference on Signals, Systems and Computers (November 2013). Full Text
 Coppola, A, Wenner, BR, Ilkayeva, O, Stevens, RD, Maggioni, M, Slotkin, TA, Levin, ED, and Newgard, CB. "Branchedchain amino acids alter neurobehavioral function in rats." Am J Physiol Endocrinol Metab 304, no. 4 (February 15, 2013): E405E413. Full Text Link to Item
 "Multiscale, dictionarybased speckle denoising." Optics Infobase Conference Papers (January 1, 2013).
 Bouvrie, J, and Maggioni, M. "Efficient solution of Markov decision problems with multiscale representations." 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton) (October 2012). Full Text
 Allard, WK, Chen, G, and Maggioni, M. "Multiscale geometric methods for data sets II: Geometric MultiResolution Analysis." Applied and Computational Harmonic Analysis 32, no. 3 (May 2012): 435462. Full Text
 Maggioni, M. "What is..data mining?." A.M.S. Notices (April 2012). (Academic Article) Link to Item
 Chen, G, and Maggioni, M. "Multiscale geometric and spectral analysis of plane arrangements." Cvpr 2011 (June 2011). Full Text
 Zheng, W, Rohrdanz, MA, Maggioni, M, and Clementi, C. "Polymer reversal rate calculated via locally scaled diffusion map." The Journal of Chemical Physics 134, no. 14 (April 2011): 144109null. Full Text
 Rohrdanz, MA, Zheng, W, Maggioni, M, and Clementi, C. "Determination of reaction coordinates via locally scaled diffusion map." The Journal of Chemical Physics 134, no. 12 (March 2011): 124116null. Full Text
 Allard, WK, Chen, G, and Maggioni, M. "Multiscale Geometric Methods for Data Sets II: Geometric Wavelets." CoRR abs/1105.4924 (2011).
 Monson, EE, Chen, G, Brady, R, and Maggioni, M. "Data representation and exploration with Geometric Wavelets." 2010 Ieee Symposium on Visual Analytics Science and Technology (October 2010). Full Text
 Wu, Q, Guinney, J, Maggioni, M, and Mukherjee, S. "Learning gradients: Predictive models that infer geometry and statistical dependence." Journal of Machine Learning Research 11 (August 1, 2010): 21752198. Open Access Copy
 Chen, G, and Maggioni, M. "Multiscale geometric wavelets for the analysis of point clouds." 2010 44th Annual Conference on Information Sciences and Systems (Ciss) (March 2010). Full Text
 Jones, PW, Maggioni, M, and Schul, R. "Universal local parametrizations via heat kernels and eigenfunctions of the Laplacian." Annales Academiae Scientiarum Fennicae Mathematica 35 (March 1, 2010): 131174. Full Text
 Willinger, W, Rejaie, R, Torkjazi, M, Valafar, M, and Maggioni, M. "Research on online social networks." Acm Sigmetrics Performance Evaluation Review 37, no. 3 (January 21, 2010): 4949. Full Text
 Guinney, J, Febbo, P, Maggioni, M, and Mukherjee, S. "Multiscale factor models for molecular networks." JSM Proc. (2010): 48874901. (Academic Article)
 "Multiscale estimation of intrinsic dimensionality of data sets." Aaai Fall Symposium Technical Report FS0904 (December 1, 2009): 2633.
 Little, AV, Lee, J, Jung, YM, and Maggioni, M. "Estimation of intrinsic dimensionality of samples from noisy lowdimensional manifolds in high dimensions with multiscale SVD." 2009 Ieee/Sp 15th Workshop on Statistical Signal Processing (August 2009). Full Text
 "Regularization on graphs with functionadapted diffusion processes." Journal of Machine Learning Research 9 (August 1, 2008): 17111739.
 Szlam, AD, Coifman, RR, and Maggioni, M. "A general framework for adaptive regularization based on diffusion processes." Journ. Mach. Learn. Res. , no. 9 (August 2008): 17111739. (Academic Article)
 Maggioni, M, and Mhaskar, HN. "Diffusion polynomial frames on metric measure spaces." Applied and Computational Harmonic Analysis 24, no. 3 (May 2008): 329353. Full Text
 Jones, PW, Maggioni, M, and Schul, R. "Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels." Proceedings of the National Academy of Sciences of the United States of America 105, no. 6 (February 7, 2008): 18031808. Full Text
 Coifman, RR, Kevrekidis, IG, Lafon, S, Maggioni, M, and Nadler, B. "Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems." Multiscale Modeling & Simulation 7, no. 2 (January 2008): 842864. Full Text
 Mahoney, MW, Maggioni, M, and Drineas, P. "TensorCUR Decompositions for TensorBased Data." Siam Journal on Matrix Analysis and Applications 30, no. 3 (January 2008): 957987. Full Text
 "Protovalue functions: A Laplacian framework for learning representation and control in Markov decision processes." Journal of Machine Learning Research 8 (October 1, 2007): 21692231.
 Mahadevan, S, and Maggioni, M. "Protovalue Functions: A Laplacian Framework for Learning Representation and Control." Journ. Mach. Learn. Res. , no. 8 (September 2007). (Academic Article)
 Jacquin, A, John, ER, Maggioni, M, and Warner, FJ. "QEEGbased classification with wavelet packet and microstate features for triage applications in the ER." Icassp, Ieee International Conference on Acoustics, Speech and Signal Processing Proceedings 3 (December 1, 2006).
 Ferguson, K, and Osentoski, S. "Learning representation and control in continuous Markov decision processes." Proceedings of the National Conference on Artificial Intelligence 2 (November 13, 2006): 11941199.
 "TensorCUR decompositions for tensorbased data." Proceedings of the Acm Sigkdd International Conference on Knowledge Discovery and Data Mining 2006 (October 16, 2006): 327336.
 "Fast direct policy evaluation using multiscale analysis of Markov diffusion processes." Icml 2006 Proceedings of the 23rd International Conference on Machine Learning 2006 (October 6, 2006): 601608.
 Bremer, JC, Coifman, RR, Maggioni, M, and Szlam, AD. "Diffusion wavelet packets." Applied and Computational Harmonic Analysis 21, no. 1 (July 2006): 95112. Full Text
 Coifman, RR, and Maggioni, M. "Diffusion wavelets." Applied and Computational Harmonic Analysis 21, no. 1 (July 2006): 5394. Full Text
 Coifman, RR, Lafon, S, Maggioni, M, Keller, Y, Szlam, AD, Warner, FJ, and Zucker, SW. "Geometries of sensor outputs, inference, and information processing." Intelligent Integrated Microsystems (May 5, 2006). Full Text
 Maggioni, M, Davis, GL, Warner, FJ, Geshwind, FB, Coppi, AC, DeVerse, RA, and Coifman, RR. "Hyperspectral microscopic analysis of normal, benign and carcinoma microarray tissue sections." Optical Biopsy Vi (February 9, 2006). Full Text
 Maggioni, M, and Mahadevan, S. "Fast direct policy evaluation using multiscale analysis of Markov diffusion processes." Proceedings of the 23rd International Conference on Machine Learning Icml '06 (2006). Full Text
 "Value function approximation with diffusion wavelets and Laplacian eigenfunctions." Advances in Neural Information Processing Systems (December 1, 2005): 843850.
 Coifman, RR, Maggioni, M, Zucker, SW, and Kevrekidis, IG. "Geometric diffusions for the analysis of data from sensor networks." Curr Opin Neurobiol 15, no. 5 (October 2005): 576584. (Review) Full Text Link to Item
 Maggioni, M, BremerJr., JC, Coifman, RR, and Szlam, AD. "Biorthogonal diffusion wavelets for multiscale representations on manifolds and graphs." Wavelets Xi (August 18, 2005). Full Text
 Szlam, AD, Maggioni, M, Coifman, RR, and BremerJr., JC. "Diffusiondriven multiscale analysis on manifolds and graphs: topdown and bottomup constructions." Wavelets Xi (August 18, 2005). Full Text
 Coifman, RR, Lafon, S, Lee, AB, Maggioni, M, Nadler, B, Warner, F, and Zucker, SW. "Geometric diffusions as a tool for harmonic analysis and structure definition of data: multiscale methods." Proceedings of the National Academy of Sciences of the United States of America 102, no. 21 (May 17, 2005): 74327437. Full Text
 Coifman, RR, Lafon, S, Lee, AB, Maggioni, M, Nadler, B, Warner, F, and Zucker, SW. "Geometric diffusions as a tool for harmonic analysis and structure definition of data: diffusion maps." Proceedings of the National Academy of Sciences of the United States of America 102, no. 21 (May 17, 2005): 74267431. Full Text
 Berger, J, Lee, K, Maggioni, M, and Coifman, RR. "Analysis of hyperspectral colon tissue images using vocal synthesis models." Conference Record Asilomar Conference on Signals, Systems and Computers 2 (December 1, 2004): 16111615.
 Maggioni, M. "Wavelet Frames on Groups and Hypergroups via Discretization of Calder�n Formulas." Monatshefte F�R Mathematik 143, no. 4 (December 2004): 299331. Full Text
 Davis, GL, Maggioni, M, Coifman, RR, Levinson, R, and Rimm, D. "SpatialSpectral Analysis of Colon Carcinoma." Mod. Path. (2004). (Academic Article)
 Davis, GL, Maggioni, M, Warner, FJ, Geshwind, FB, Coppi, AC, DeVerse, RA, and Coifman, RR. "Spectral Analysis of normal and Malignant Microarray Tissue Sections using a novel microoptoelectrialmechanical system." Mod Pathol 17, no. 1:358A (2004). (Academic Article)
 Ferrari, S, Maggioni, M, and Borghese, NA. "Multiscale approximation with hierarchical radial basis functions networks." IEEE Trans Neural Netw 15, no. 1 (January 2004): 178188. Full Text Link to Item
 Chui, CK, Czaja, W, Maggioni, M, and Weiss, G. "Characterization of General Tight Wavelet Frames with Matrix Dilations and Tightness Preserving Oversampling." Journal of Fourier Analysis and Applications 8, no. 2 (March 1, 2002): 173200. Full Text
 Katz, NH, Krop, E, and Maggioni, M. "On the box problem." Math. Research Letters 4 (2002): 515519. (Academic Article)
 Katz, NH, Krop, E, and Maggioni, M. "Remarks on the box problem." Mathematical Research Letters 9, no. 4 (2002): 515519. Full Text
 Maggioni, M. "Critical Exponent of Short Even Filters andBurtAdelson Biorthogonal Wavelets." Monatshefte F�R Mathematik 131, no. 1 (November 15, 2000): 4969. Full Text
 Maggioni, M. "MBand Burt–Adelson Biorthogonal Wavelets." Applied and Computational Harmonic Analysis 9, no. 3 (October 2000): 286311. Full Text
 Mauro Maggioni, . "Critical Exponent of Short Even Filters and Biorthogonal BurtAdelson Wavelets." Monats. Math. 131, no. 1 (2000): 4970. (Academic Article)
 Mauro Maggioni, . "MBand {B}urt{A}delson Wavelets." Appl. Comput. Harm. Anal. 3 (2000): 286311. (Academic Article)
 Iwen, MA, and Maggioni, M. "Approximation of Points on LowDimensional Manifolds Via Random Linear Projections." Link to Item
 Jones, PW, Maggioni, M, and Schul, R. "Universal local parametrizations via heat kernels and eigenfunctions of the laplacian." Annales Academiae Scientiarum Fennicae Mathematica 35, no. 1 (October 20, 2010): 131174. Full Text

Book Sections
 Chen, G, Little, AV, and Maggioni, M. "MultiResolution Geometric Analysis for Data in High Dimensions." In Excursions in Harmonic Analysis, Volume 1, 259285.: Birkhäuser Boston, 2013. Full Text
 Chen, G, Little, AV, Maggioni, M, and Rosasco, L. "Some Recent Advances in Multiscale Geometric Analysis of Point Clouds." In Wavelets and Multiscale Analysis, 199225.: Birkhäuser Boston, 2011. Full Text

Conference Papers
 Murphy, JM, and Maggioni, M. "Diffusion geometric methods for fusion of remotely sensed data." Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XXIV. April 15, 2018  April 19, 2018.: SPIE, May 8, 2018. Full Text
 Escande, P, Debarnot, V, Maggioni, M, Mangeat, T, and Weiss, P. "Learning and Exploiting Physics of Degradations." Mathematics in Imaging. 2018.: OSA, 2018. Full Text
 "ROFLMAO: Robust oblique forests with linear MAtrix operations." January 1, 2017.
 Liao, W, Maggioni, M, and Vigogna, S. "Learning adaptive multiscale approximations to data and functions near lowdimensional sets." 2016 IEEE Information Theory Workshop (ITW). September 11, 2016  September 14, 2016.: IEEE, September 2016. Full Text
 Yin, R, Monson, E, Honig, E, Daubechies, I, and Maggioni, M. "Object recognition in art drawings: Transfer of a neural network." 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). March 20, 2016  March 25, 2016.: IEEE, March 2016. Full Text
 Maggioni, M, Minsker, S, and Strawn, N. "Geometric multiresolution analysis for dictionary learning." SPIE Optical Engineering + Applications.: SPIE, September 11, 2015. Full Text
 Wang, YG, Maggioni, M, and Chen, G. "Enhanced detection of chemical plumes in hyperspectral images and movies throughimproved backgroundmodeling." 2015 7th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS). June 2, 2015  June 5, 2016.: IEEE, June 2015. Full Text
 Maggioni, M, and Gerber, S. "Multiscale dictionaries, transforms, and learning in highdimensions." SPIE Optical Engineering + Applications.: SPIE, October 5, 2013. Full Text
 Bouvrie, J, and Maggioni, M. "Geometric multiscale reduction for autonomous and controlled nonlinear systems." 2012 IEEE 51st Annual Conference on Decision and Control (CDC). December 10, 2012  December 13, 2012.: IEEE, December 2012. Full Text
 Chen, G, Iwen, M, Chin, S, and Maggioni, M. "A fast multiscale framework for data in highdimensions: Measure estimation, anomaly detection, and compressive measurements." 2012 Visual Communications and Image Processing (VCIP). November 27, 2012  November 30, 2012.: IEEE, November 2012. Full Text

 Scholarly, Clinical, & Service Activities

Presentations & Appearances
 Multiscale Methods for Analysis of Data Sets and Machine Learning. December 18, 2013 2013
 Multiscale Analysis of TimeVarying Graphs. December 5, 2013 2013
 ￼Geometric MultiResolution Analysis and Approximation. November 18, 2013 2013
 Geometric Estimation of Probability Measures in HighDimensions. November 5, 2013 2013
 MultiResolution Invariant Manifold Learning and Dictionaries for Target Recognition. October 3, 2013 2013
 Multiscale Analysis of Graphs and TimeVarying Graphs. September 16, 2013 2013
 Multiscale dictionaries, transforms, and learning in highdimensions. August 30, 2013 2013
 ￼Fast algorithms for multiscale analysis on graphs. August 30, 2013 2013
 Geometric Analysis of Intrinsically LowDimensional Dynamical Systems in High Dimension. July 10, 2013 2013
 Data Representations. June 17, 2013 2013
 Multiscale Estimation of Probability Measures in High Dimensions. May 22, 2013 2013
 Geometry and Analysis of HighDimensional Data. April 17, 2013 2013
 Geometric Analysis of Intrinsically LowDimensional Dynamical Systems in High Dimension. March 1, 2013 2013
 Multiscale Geometric Methods for Data in High Dimensions. March 1, 2013 2013
 Highdimensional data: geometry, statistical learning and computation. February 5, 2013 2013
 Geometric Multiscale Analysis of Data in HighDimensions Measure Estimation, Anomaly Detection, and Compressive Measurements. December 1, 2012 2012
 On the Complexity of Highdimensional Data: From Hyperspectral Images to Molecular Dynamics Data. December 1, 2012 2012
 Multiscale Geometric Methods for Data in High Dimensions. November 19, 2012 2012
 Multiscale Analysis of Dynamic Graphs. November 1, 2012 2012
 Exploiting Geometry of HighDimensional Data. October 1, 2012 2012
 Multiscale geometric estimation of lowdimensional probability measures in high dimensions. September 1, 2012 2012
 Diffusion and Geometric methods for the Analysis of Molecular Dynamics data. July 1, 2012 2012
 Geometric estimation of intrinsically lowdimensional probability measures in high dimensions. July 1, 2012 2012
 Geometric estimation of intrinsically lowdimensional probability measures in high dimensions. July 1, 2012 2012
 Geometric Multiscale Methods for HighDimensional Data. June 1, 2012 2012
 Geometric estimation of intrinsically lowdimensional probability measures in high dimensions. June 1, 2012 2012
 Geometry and Approximation for Data in Highdimension. June 1, 2012 2012
 Multiscale SVD and Geometric MultiResolution Analysis for noisy point clouds in high dimensions. June 1, 2012 2012
 Geometric analysis of molecular dynamics data, diffusion geometry and reaction coordinates. May 1, 2012 2012
 Multiscale Geometric Methods for Noisy Point Clouds in High Dimensions. April 1, 2012 2012
 Multiscale geometric methods for noisy point clouds in high dimensions. April 1, 2012 2012
 Digital data sets: Geometry, random walks, multiscale analysis, and applications.. March 10, 2012 2012
 Multiscale geometric methods for noisy point clouds in high dimensions. March 1, 2012 2012
 Geometry and Analysis of HighDimensional Data Sets and Graphs. January 1, 2012 2012
 Multiscale geometric methods for noisy point clouds in high dimensions. December 1, 2011 2011
 Multiscale Analysis of Dynamic Graphs. October 1, 2011 2011
 Graphbased and multiscale geometric methods for the analysis of data sets in high dimensions. September 1, 2011 2011
 Data sets in high dimensional spaces: Geometry and Random Walks. August 1, 2011 2011
 Multiscale Analysis of Dynamic Graphs. July 1, 2011 2011
 Multiscale Geometric Analysis of Data Sets and Dictionary Learning. July 1, 2011 2011
 Multiscale geometric methods for noisy point clouds in high dimensions. July 1, 2011 2011
 Graphs, Highdimensional Data Sets, and Multiscale Analysis. June 1, 2011 2011
 Multiscale Geometric Dictionaries for Pointcloud Data. June 1, 2011 2011
 Geometric MultiResolution Analysis and Dictionary Learning. May 17, 2011 2011
 MultiResolution Geometric Analysis and Dictionary Learning. May 1, 2011 2011
 Multiscale Analysis of Dynamic Graphs. May 1, 2011 2011
 Multiscale geometric methods for noisy point clouds in high dimensions. May 1, 2011 2011
 Multiscale geometric methods for noisy point clouds: intrinsic dimension estimation. May 1, 2011 2011
 Multiscale geometric methods for noisy point clouds in high dimensions. April 4, 2011 2011
 Geometric analysis of molecular dynamics data, diffusion geometry and reaction coordinates. April 1, 2011 2011
 Multiscale geometric methods for noisy lowdimensional point clouds in high dimensions. April 1, 2011 2011
 Multiscale geometric methods for noisy point clouds in high dimensions. April 1, 2011 2011
 Multiscale geometric methods for noisy point clouds in high dimensions. March 28, 2011 2011
 Multiscale geometric methods for noisy point clouds in high dimensions. March 18, 2011 2011
 Multiscale geometric methods for noisy point clouds in high dimensions. February 19, 2011 2011
 Geometric MultiResolution Analysis. February 18, 2011 2011
 Multiscale geometric methods for noisy point clouds in high dimensions. January 14, 2011 2011
 Multiscale Geometric Analysis of Data Sets. Workshop on Sparsity and Computation. December 21, 2010 2010
 Multiscale methods for the analysis of dynamic graphs. Workshop on Statistics of Networks. December 21, 2010 2010
 Multiscale Geometric Analysis of Data Sets. December 1, 2010 2010
 Multiscale Geometric Analysis of Data Sets. November 1, 2010 2010
 Multiscale methods for the analysis of dynamic graphs. November 1, 2010 2010
 Multiple scales in highdimensional noisy data sets and images. October 1, 2010 2010
 Novel multiscale representations of data sets for interactive learning. October 1, 2010 2010
 Intrinsic dimension of data sets in highdimensions. September 1, 2010 2010
 Multiscale geometric methods for point clouds in highdimensions. September 1, 2010 2010
 Multiscale methods for the analysis of dynamic graphs. August 1, 2010 2010
 Intrinsic dimensionality estimation and multiscale geometry of data sets. June 1, 2010 2010
 Multiscale geometric methods for lowdimensional point clouds in high dimensions. June 1, 2010 2010
 Intrinsic dimension of data sets in highdimensions. May 1, 2010 2010
 Intrinsic dimension of data sets in highdimensions. April 1, 2010 2010
 Multiple scales in highdimensional noisy data sets and images. April 1, 2010 2010
 On the intrinsic dimensionality of data sets in highdimensions". March 1, 2010 2010
 Intrinsic dimension of data sets in highdimensions. February 1, 2010 2010
 Multiscale Geometric Analysis of Data Sets. February 1, 2010 2010
 Geometry and Analysis of point sets in high dimensions. Princeton. December 14, 2009 2009
 Harmonic and Multiscale Analysis of, and on, Data Sets. December 14, 2009 2009
 Harmonic and Multiscale Analysis on lowdimensional data sets in highdimensions. A.M.S. nat. meeting. A.M.S.. December 14, 2009 2009
 Harmonic and Multiscale Analysis on lowdimensional data sets in highdimensions. December 14, 2009 2009
 Harmonic and geometric analysis of data sets in highdimensions. A.F.O.S.R.. December 14, 2009 2009
 Harmonic and geometric multiscale analysis of data sets in high dimensions. T.T.I.. December 14, 2009 2009
 On estimating the intrinsic dimensionality of noisy data sets in high dimensions. A.A.A.I. Workshop. December 14, 2009 2009
 Parametrizations of manifolds via Laplacian eigenfunctions and heat kernels. I.P.A.M.. December 14, 2009 2009
 Multiscale analysis on graphs. November 17, 2008 2008
 Harmonic and Multiscale Analysis on lowdimensional data sets in high dimensions. October 27, 2008 2008
 Multiscale harmonic analysis on graphs and data sets. September 23, 2008 2008
 Math Foundations of Multiscale Graph Representations and Interactive Learning. September 16, 2008 2008
 Tutorial  Random Walks on Graphs Largetime Behavior and Applications to Analysis of Large Data Sets, Tutorial II: Random Walks on Graphs Multiscale Aspects. September 10, 2008 2008
 High Dimensional Data Sets. September 6, 2008 2008
 Harmonic and multiscale analysis of and on data sets in high dimensions. June 10, 2008 2008
 Multiscale Analysis on graphs via Diffusion. May 14, 2008 2008
 Analysis of, and on, data sets with diffusion operators. April 24, 2008 2008
 Analysis of and analysis on data sets with diffusion operators. April 14, 2008 2008
 Geometry of data sets in high dimensions and learning. April 11, 2008 2008
 Geometry of data sets in high dimensions and learning. April 8, 2008 2008
 Harmonic Analysis on data sets in highdimensional space, I and II. March 13, 2008 2008
 Analysis of and on data sets with diffusion processes. March 1, 2008 2008
 Analysis of and on data sets with diffusion processes. January 15, 2008 2008
 Random Media and High Dimensional Data. January 13, 2008 2008
 Analysis of and on data sets with diffusion processes. January 7, 2008 2008

Service to the Profession
 Doctoral Thesis referee for Ph.D. candidate at Tel Aviv University. December 2013 2013
 Organizer for M.B.I. imaging workshop in Spring 2014. 2013 2013
 SAMSIFODAVA Workshop on Interactive Visualization and Analysis of Massive Data. December 10, 2012 2012
 AFOSR grant proposal evaluator. November 7, 2012 2012
 Associate editor : Associate Editor for "Information and Inference, a Journal of the IMA". January 1, 2012 2012
 Coorganizer IPAM workshop on Chemical Compound Space 2011. December 21, 2010 2010
 Organizer of opening workshop in the Complex Networks program at SAMSI. December 21, 2010 2010
 Organizer special session at ICIAM 2011. December 21, 2010 2010
 Organizer special session at SAMPTA 2011. December 21, 2010 2010
 Symposium of Knowledge Extraction at A.M.S. nat. meeing 2010. January 13, 2010 2010
 Large Data Workshop, C.T.M.S., Duke. November 13, 2009 2009
 A.A.A.I. workshop on manifold learning. November 5, 2009 2009
 Organizer : Internet MultiResolution Analysis: Foundations, Applications and Practice. September 2008  December 2008 2008
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