Publications

110 entries « 2 of 3 »

2013

Iwen, Mark A; Maggioni, Mauro

Approximation of points on low-dimensional manifolds via random linear projections Journal Article

In: Inference and Information, vol. 2, no. 1, pp. 1–31, 2013, (arXiv:1204.3337v1, 2012).

BibTeX | Tags: Machine learning, Manifold Learning, multiscale analysis

2012

Allard, William K; Chen, Guangliang; Maggioni, Mauro

Multi-scale geometric methods for data sets II: Geometric Multi-Resolution Analysis Journal Article

In: Applied and Computational Harmonic Analysis, vol. 32, no. 3, pp. 435–462, 2012.

BibTeX | Tags: geometric wavelets, Machine learning, Manifold Learning, multiscale analysis, statistics

Chen, Guangliang; Iwen, Mark A; Chin, Peter S; Maggioni, Mauro

A fast multiscale framework for data in high-dimensions: Measure estimation, anomaly detection, and compressive measurements Proceedings Article

In: Visual Communications and Image Processing (VCIP), 2012 IEEE, pp. 1-6, 2012.

BibTeX | Tags: Clustering, diffusion geometry, Machine learning, Unsupervised Learning

Bouvrie, Jake; Maggioni, Mauro

Geometric Multiscale Reduction for Autonomous and Controlled Nonlinear Systems Proceedings Article

In: IEEE Conference on Decision and Control (CDC), 2012.

BibTeX | Tags: control theory, geometric wavelets, Machine learning, multiscale analysis

Bouvrie, Jake; Maggioni, Mauro

Efficient Solution of Markov Decision Problems with Multiscale Representations Proceedings Article

In: Proc. 50th Annual Allerton Conference on Communication, Control, and Computing, 2012.

BibTeX | Tags: Machine learning, reinforcement learning, representation learning

Bouvrie, Jake; Maggioni, Mauro

Multiscale Markov Decision Problems: Compression, Solution, and Transfer Learning Journal Article

In: 2012.

Links | BibTeX | Tags: Machine learning, multiscale analysis, reinforcement learning, representation learning, spectral graph theory, transfer learning

Chen, Guangliang; Iwen, Mark A; Chin, Peter S; Maggioni, Mauro

A Fast Multiscale Framework for Data in High Dimensions: Measure Estimation, Anomaly Detection, and Compressive Measurements Proceedings Article

In: Visual Communications and Image Processing (VCIP), 2012 IEEE, pp. 1-6, 2012.

Links | BibTeX | Tags: Clustering, diffusion geometry, Machine learning, Unsupervised Learning

2011

Chen, Guangliang; Little, Anna V; Maggioni, Mauro

Multi-Resolution Geometric Analysis for data in high dimensions Journal Article

In: Proc. FFT 2011, 2011.

BibTeX | Tags: geometric wavelets, Machine learning, Manifold Learning, multiscale analysis

Maggioni, Mauro

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

In: 2011, (Presented at SPARS 11).

Links | BibTeX | Tags: dictionary learning, geometric wavelets, Machine learning, Manifold Learning, multiscale analysis

Lee, J; Maggioni, Mauro

Multiscale Analysis of Time Series of Graphs Conference

Proc. SampTA, 2011.

BibTeX | Tags: random walks, spectral graph theory

Zheng, W; Rohrdanz, M A; Maggioni, Mauro; Clementi, Cecilia

Polymer reversal rate calculated via locally scaled diffusion map Journal Article

In: J. Chem. Phys., no. 134, pp. 144108, 2011.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, molecular dynamics, stochastic systems

Rohrdanz, M A; Zheng, W; Maggioni, Mauro; Clementi, Cecilia

Determination of reaction coordinates via locally scaled diffusion map Journal Article

In: J. Chem. Phys., no. 134, pp. 124116, 2011.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, molecular dynamics, stochastic systems

Chen, Guangliang; Maggioni, Mauro

Multiscale Geometric Dictionaries for Point-Cloud Data Proceedings Article

In: Proc. SampTA, 2011.

BibTeX | Tags: dictionary learning, geometric wavelets, Machine learning, Manifold Learning, multiscale analysis

Chen, Guangliang; Maggioni, Mauro

Multiscale Geometric and Spectral Analysis of Plane Arrangements Proceedings Article

In: Conference on Computer Vision and Pattern Recognition, 2011.

BibTeX | Tags: Machine learning, Manifold Learning, multiscale analysis

2010

Monson, Eric; Chen, Guangliang; Brady, Rachel; Maggioni, Mauro

Data representation and exploration with Geometric Wavelets Proceedings Article

In: Visual Analytics Science and Technology (VAST), 2010 IEEE Symposium, pp. 243–244, 2010.

Links | BibTeX | Tags: geometric wavelets, visualization

Jones, Peter W; Maggioni, Mauro; Schul, Raanan

Universal local manifold parametrizations via heat kernels and eigenfunctions of the Laplacian Journal Article

In: Ann. Acad. Scient. Fen., vol. 35, pp. 1–44, 2010, (http://arxiv.org/abs/0709.1975).

BibTeX | Tags: diffusion geometry, heat kernels, Laplacian eigenfunctions, Manifold Learning, multiscale analysis, random walks, spectral graph theory

Guinney, J; Febbo, P; Maggioni, Mauro; Mukherjee, S

Multiscale factor models for molecular networks Journal Article

In: Proc. JSM, 2010.

BibTeX | Tags: spectral clustering

Chen, Guangliang; Maggioni, Mauro

Multiscale Geometric Methods for Data Sets III: multiple planes Journal Article

In: in preparation, 2010.

BibTeX | Tags: Machine learning, Manifold Learning, multiscale analysis, statistics

Chen, Guangliang; Maggioni, Mauro

Multiscale Geometric Wavelets for the Analysis of Point Clouds Journal Article

In: Proc. CISS 2010, 2010.

BibTeX | Tags: geometric wavelets, Machine learning, Manifold Learning, multiscale analysis, spectral graph theory

Monson, Eric; Chen, Guangliang; Brady, Rachel; Maggioni, Mauro

Data Representation and Exploration with Geometric Wavelets Proceedings Article

In: Proceedings of the IEEE Symposium on Visual Analytics Science and Technology (VAST), 2010.

BibTeX | Tags: geometric wavelets, visualization

2009

Little, Anna V; Jung, Y -M; Maggioni, Mauro

Multiscale Estimation of Intrinsic Dimensionality of Data Sets Proceedings Article

In: Proc. A.A.A.I., 2009.

BibTeX | Tags: Machine learning, Manifold Learning, multiscale analysis, statistics

Little, Anna V; Lee, J; Jung, Y -M; Maggioni, Mauro

Estimation of intrinsic dimensionality of samples from noisy low-dimensional manifolds in high dimensions with multiscale $SVD$ Proceedings Article

In: Proc. S.S.P., 2009.

BibTeX | Tags: Machine learning, Manifold Learning, multiscale analysis, statistics

Willinger, Walter; Rejaie, Reza; Torkjazi, M; Valafar, M; Maggioni, Mauro

Research on Online Social Networks: Time to Face the Real Challenges Proceedings Article

In: Proc. 2nd Workshop on Hot Topics in Measurement and Modeling of Computer Systems (HotMetrics’09), 2009.

BibTeX | Tags:

2008

Coifman, Ronald R; Maggioni, Mauro

Geometry Analysis and Signal Processing on Digital Data, Emergent Structures, and Knowledge Building Miscellaneous

SIAM News, 2008.

BibTeX | Tags: diffusion geometry, heat kernels, Laplacian eigenfunctions, Manifold Learning, multiscale analysis, random walks, spectral graph theory

Szlam, Arthur D; Maggioni, Mauro; Coifman, Ronald R

Regularization on Graphs with Function-adapted Diffusion Processes Journal Article

In: Jour. Mach. Learn. Res., no. 9, pp. 1711–1739, 2008, ((YALE/DCS/TR1365, Yale Univ, July 2006)).

Links | BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, random walks, semisupervised learning, spectral graph theory

Maggioni, Mauro; Mhaskar, Hrushikesh

Diffusion polynomial frames on metric measure spaces Journal Article

In: ACHA, vol. 3, pp. 329–353, 2008.

BibTeX | Tags: approximation theory, diffusion geometry, heat kernels, Laplacian eigenfunctions, multiscale analysis

Jones, Peter W; Maggioni, Mauro; Schul, Raanan

Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels Journal Article

In: Proc. Nat. Acad. Sci., vol. 105, no. 6, pp. 1803–1808, 2008.

BibTeX | Tags: diffusion geometry, heat kernels, Laplacian eigenfunctions, Manifold Learning, multiscale analysis, random walks, spectral graph theory

Coifman, Ronald R; Kevrekidis, Ioannis G; Lafon, Stephane; Maggioni, Mauro; Nadler, Boaz

Diffusion Maps, reduction coordinates and low dimensional representation of stochastic systems Journal Article

In: SIAM J.M.M.S., vol. 7, no. 2, pp. 842–864, 2008.

BibTeX | Tags: diffusion geometry, dynamical systems, Laplacian eigenfunctions, Machine learning, model reduction, stochastic systems

2007

Coifman, Ronald R; Maggioni, Mauro

Multiscale Data Analysis with Diffusion Wavelets Journal Article

In: Proc. SIAM Bioinf. Workshop, Minneapolis, 2007.

BibTeX | Tags: diffusion geometry, diffusion wavelets, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems

Mahadevan, Sridhar; Maggioni, Mauro

Proto-value Functions: A Spectral Framework for Solving Markov Decision Processes Journal Article

In: JMLR, vol. 8, pp. 2169–2231, 2007.

BibTeX | Tags: diffusion geometry, Laplacian eigenfunctions, Machine learning, Manifold Learning, random walks, reinforcement learning, representation learning, spectral graph theory

2006

Coifman, Ronald R; Maggioni, Mauro

Diffusion Wavelets Journal Article

In: Appl. Comp. Harm. Anal., vol. 21, no. 1, pp. 53–94, 2006, ((Tech. Rep. YALE/DCS/TR-1303, Yale Univ., Sep. 2004)).

BibTeX | Tags: diffusion geometry, diffusion wavelets, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems

Bremer, James Jr. C; Coifman, Ronald R; Maggioni, Mauro; Szlam, Arthur D

Diffusion Wavelet Packets Journal Article

In: Appl. Comp. Harm. Anal., vol. 21, no. 1, pp. 95–112, 2006, ((Tech. Rep. YALE/DCS/TR-1304, 2004)).

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems

Coifman, Ronald R; Lafon, Stephane; Maggioni, Mauro; Keller, Y; Szlam, A D; Warner, F J; Zucker, S W

Geometries of sensor outputs, inference, and information processing Proceedings Article

In: Athale, John Zolper; Eds. C Intelligent Integrated Microsystems; Ravindra A. (Ed.): Proc. SPIE, pp. 623209, 2006.

BibTeX | Tags: diffusion geometry, Laplacian eigenfunctions, Machine learning, Manifold Learning, random walks, spectral graph theory, stochastic systems

Causevic, E; Coifman, Ronald R; Isenhart, R; Jacquin, A; John, E R; Maggioni, Mauro; Prichep, L S; Warner, F J

QEEG-based classification with wavelet packets and microstate features for triage applications in the ER Proceedings Article

In: ICASSP Proc., 2006, (10.1109/ICASSP.2006.1660859).

BibTeX | Tags: Clustering, hidden Markov models, Machine learning

Coifman, Ronald R; Maggioni, Mauro

Multiscale Analysis of Document Corpora Unpublished

2006, (Technical Report).

BibTeX | Tags: Machine learning, Manifold Learning, multiscale analysis, Unsupervised Learning

Maggioni, Mauro; Mahadevan, Sridhar

Fast Direct Policy Evaluation using Multiscale Analysis of Markov Diffusion Processes Proceedings Article

In: ICML 2006, pp. 601–608, 2006.

BibTeX | Tags: diffusion geometry, Laplacian eigenfunctions, Machine learning, Manifold Learning, random walks, reinforcement learning, representation learning, spectral graph theory

Mahadevan, Sridhar; Ferguson, Kim; Osentoski, Sarah; Maggioni, Mauro

Simultaneous Learning of Representation and Control In Continuous Domains Proceedings Article

In: AAAI, AAAI Press, 2006.

BibTeX | Tags: diffusion geometry, Laplacian eigenfunctions, Machine learning, Manifold Learning, random walks, reinforcement learning, representation learning, spectral graph theory

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

Mahoney, Michael W; Maggioni, Mauro; Drineas, Petros

Tensor-CUR Decompositions For Tensor-Based Data Proceedings Article

In: Proc 12-th Annual SIGKDD, 2006.

BibTeX | Tags: computational mathematics

2005

Coifman, Ronald R; Maggioni, Mauro; Zucker, Steven W; Kevrekidis, Ioannis G

Geometric diffusions for the analysis of data from sensor networks Journal Article

In: Curr Opin Neurobiol, vol. 15, no. 5, pp. 576–84, 2005.

BibTeX | Tags: diffusion geometry, Laplacian eigenfunctions, Machine learning, Manifold Learning, random walks, spectral graph theory, stochastic systems

Coifman, Ronald R; Lafon, Stephane; Lee, Ann B; Maggioni, Mauro; Nadler, B; Warner, Frederick; Zucker, Steven W

Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps Journal Article

In: Proceedings of the National Academy of Sciences of the United States of America, vol. 102, no. 21, pp. 7426-7431, 2005.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, random walks, spectral graph theory, stochastic systems

Coifman, Ronald R; Lafon, S; Lee, A B; Maggioni, Mauro; Nadler, B; Warner, Frederick; Zucker, Steven W

Geometric diffusions as a tool for harmonic analysis and structure definition of data: Multiscale methods Journal Article

In: Proceedings of the National Academy of Sciences of the United States of America, vol. 102, no. 21, pp. 7432–7438, 2005.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems

Mahadevan, Sridhar; Maggioni, Mauro

Value Function Approximation with Diffusion Wavelets and Laplacian Eigenfunctions Proceedings Article

In: University of Massachusetts, Department of Computer Science Technical Report TR-2005-38; Proc. NIPS 2005, 2005.

BibTeX | Tags: diffusion geometry, diffusion wavelets, Laplacian eigenfunctions, Machine learning, Manifold Learning, random walks, reinforcement learning, representation learning, spectral graph theory

Maggioni, Mauro; Bremer, James Jr. C; Coifman, Ronald R; Szlam, Arthur D

Biorthogonal diffusion wavelets for multiscale representations on manifolds and graphs Conference

vol. 5914, no. 1, SPIE, San Diego, CA, USA, 2005.

Links | BibTeX | Tags: diffusion geometry, diffusion wavelets, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory

Szlam, Arthur D; Maggioni, Mauro; Coifman, Ronald R; Bremer, James Jr. C

Diffusion-driven multiscale analysis on manifolds and graphs: top-down and bottom-up constructions Conference

vol. 5914-1, SPIE, San Diego, CA, USA, 2005.

Links | BibTeX | Tags: diffusion geometry, diffusion wavelets, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory

2004

Goetzmann, William; Jones, Peter W; Maggioni, Mauro; Walden, Johan

Beauty is in the eye of the beholder Journal Article

In: submitted, 2004.

BibTeX | Tags:

Davis, Gus L; Maggioni, Mauro; Warner, F J; Geshwind, Frank B; Coppi, Andreas C; DeVerse, R A; Coifman, Ronald R

Hyper-spectral Analysis of normal and malignant colon tissue microarray sections using a novel DMD system Miscellaneous

Poster, Optical Imaging NIH workshop, to app. in proc., 2004.

BibTeX | Tags: hyperspectral imaging, imaging, medical imaging

Coifman, Ronald R; Maggioni, Mauro

Multiresolution Analysis associated to diffusion semigroups: construction and fast algorithms Technical Report

Dept. Comp. Sci., Yale University no. YALE/DCS/TR-1289, 2004.

BibTeX | Tags: diffusion geometry, Machine learning, Manifold Learning, multiscale analysis, random walks, spectral graph theory, stochastic systems

Maggioni, Mauro; Warner, F J; Davis, Gus L; Coifman, Ronald R; Geshwind, Frank B; Coppi, Andreas C; DeVerse, R A

Algorithms from Signal and Data Processing Applied to Hyperspectral Analysis: Application to Discriminating Normal and Malignant Microarray Colon Tissue Sections Technical Report

Yale University Dept. Comp. Sci., no. 1311, 2004.

BibTeX | Tags: Clustering, diffusion geometry, hyperspectral imaging, imaging, Machine learning, Unsupervised Learning

Ferrari, S; Maggioni, Mauro; Borghese, N A

Multi-Scale Approximation with Hierarchical Radial Basis Functions Networks, Journal Article

In: IEEE Trans. on Neural Networks, vol. 15, no. 1, pp. 178–188, 2004.

BibTeX | Tags: approximation theory, multiscale analysis, radial basis functions

110 entries « 2 of 3 »
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