Ronald Coifman, PhD

Sterling Professor of Mathematics and Professor of Electrical Engineering

Research & Publications
Biography
News

Research Summary

Ronald Coifman's research interests include: Nonlinear Harmonic Analysis of high dimensional digital data. He is currently developing analysis tools for organization and information extraction in both biological and physical data sets including; hyperspectral imaging of biopsies, patient hematology profiles, psychological questionnaires, EEG etc.

Extensive Research Description

Professor Coifman is currently developing
analysis tools for massive medical signatures analysis, such as spectrometric diagnostics and hyperspectral imaging.

Coauthors

Selected Publications

Robust Estimation of Position-Dependent Anisotropic Diffusivity Tensors from Molecular Dynamics TrajectoriesDomingues T, Coifman R, Haji-Akbari A. Robust Estimation of Position-Dependent Anisotropic Diffusivity Tensors from Molecular Dynamics Trajectories. The Journal Of Physical Chemistry B 2023, 127: 8644-8659. PMID: 37757480, DOI: 10.1021/acs.jpcb.3c03581.
Robust Estimation of Position-Dependent Anisotropic Diffusivity Tensors from Stochastic TrajectoriesDomingues T, Coifman R, Haji-Akbari A. Robust Estimation of Position-Dependent Anisotropic Diffusivity Tensors from Stochastic Trajectories. The Journal Of Physical Chemistry B 2023, 127: 5273-5287. PMID: 37261948, DOI: 10.1021/acs.jpcb.3c00670.
Guido L. Weiss (1928–2021)Hernández E, Wilson E, Coifman R, Maggioni M, Meyer Y, Ricci F, Šikić H, Soria F, Tabacco A, Torres R. Guido L. Weiss (1928–2021). Notices Of The American Mathematical Society 2023, 70: 1. DOI: 10.1090/noti2607.
Multiscale Decompositions of Hardy SpacesCoifman R, Peyrière J. Multiscale Decompositions of Hardy Spaces. 2022, 445-462. DOI: 10.1007/978-3-030-45847-8_20.
A Common Variable Minimax Theorem for GraphsCoifman R, Marshall N, Steinerberger S. A Common Variable Minimax Theorem for Graphs. Foundations Of Computational Mathematics 2022, 23: 493-517. DOI: 10.1007/s10208-022-09558-8.
Wavelets and adapted waveform analysisCoifman R, Wickerhauser M. Wavelets and adapted waveform analysis. 2021, 399-423. DOI: 10.1201/9781003210450-12.
Diffusion Earth Mover's Distance and Distribution Embeddings.Tong A, Huguet G, Natik A, MacDonald K, Kuchroo M, Coifman R, Wolf G, Krishnaswamy S. Diffusion Earth Mover's Distance and Distribution Embeddings. ArXiv 2021 PMID: 33655017, PMCID: PMC7924278.
Doubly Stochastic Normalization of the Gaussian Kernel Is Robust to Heteroskedastic Noise.Landa B, Coifman RR, Kluger Y. Doubly Stochastic Normalization of the Gaussian Kernel Is Robust to Heteroskedastic Noise. SIAM Journal On Mathematics Of Data Science 2021, 3: 388-413. PMID: 34124607, PMCID: PMC8194191, DOI: 10.1137/20m1342124.
Local conformal autoencoder for standardized data coordinatesPeterfreund E, Lindenbaum O, Dietrich F, Bertalan T, Gavish M, Kevrekidis IG, Coifman RR. Local conformal autoencoder for standardized data coordinates. Proceedings Of The National Academy Of Sciences Of The United States Of America 2020, 117: 30918-30927. PMID: 33229581, PMCID: PMC7733838, DOI: 10.1073/pnas.2014627117.
Some Extensions of E. Stein’s Work on Littlewood–Paley Theory Applied to Symmetric Diffusion SemigroupsCoifman R, Goldberg M. Some Extensions of E. Stein’s Work on Littlewood–Paley Theory Applied to Symmetric Diffusion Semigroups. The Journal Of Geometric Analysis 2020, 31: 6781-6795. DOI: 10.1007/s12220-020-00428-9.
Author Correction: Visualizing structure and transitions in high-dimensional biological dataMoon KR, van Dijk D, Wang Z, Gigante S, Burkhardt DB, Chen WS, Yim K, van den Elzen A, Hirn MJ, Coifman RR, Ivanova NB, Wolf G, Krishnaswamy S. Author Correction: Visualizing structure and transitions in high-dimensional biological data. Nature Biotechnology 2020, 38: 108-108. PMID: 31896828, DOI: 10.1038/s41587-019-0395-5.
Two-sample statistics based on anisotropic kernelsCheng X, Cloninger A, Coifman RR. Two-sample statistics based on anisotropic kernels. Information And Inference A Journal Of The IMA 2019, 9: 677-719. PMID: 32929389, PMCID: PMC7478116, DOI: 10.1093/imaiai/iaz018.
Visualizing structure and transitions in high-dimensional biological dataMoon KR, van Dijk D, Wang Z, Gigante S, Burkhardt DB, Chen WS, Yim K, Elzen AVD, Hirn MJ, Coifman RR, Ivanova NB, Wolf G, Krishnaswamy S. Visualizing structure and transitions in high-dimensional biological data. Nature Biotechnology 2019, 37: 1482-1492. PMID: 31796933, PMCID: PMC7073148, DOI: 10.1038/s41587-019-0336-3.
HARMONIC ANALYTIC GEOMETRY ON SUBSETS IN HIGH DIMENSIONS - EMPIRICAL MODELSCOIFMAN R. HARMONIC ANALYTIC GEOMETRY ON SUBSETS IN HIGH DIMENSIONS - EMPIRICAL MODELS. 2019, 391-424. DOI: 10.1142/9789813272880_0018.
Manifold learning with bi-stochastic kernelsMarshall N, Coifman R. Manifold learning with bi-stochastic kernels. IMA Journal Of Applied Mathematics 2019, 84: 455-482. DOI: 10.1093/imamat/hxy065.
Ad Honorem Yves MeyerCoifman R, Mallat S, Jaffard S, Olevskii A, Cohen A. Ad Honorem Yves Meyer. Notices Of The American Mathematical Society 2018, 65: 1. DOI: 10.1090/noti1756.
Phase Unwinding, or Invariant Subspace Decompositions of Hardy SpacesCoifman R, Peyrière J. Phase Unwinding, or Invariant Subspace Decompositions of Hardy Spaces. Journal Of Fourier Analysis And Applications 2018, 25: 684-695. DOI: 10.1007/s00041-018-9623-5.
Parsimonious representation of nonlinear dynamical systems through manifold learning: A chemotaxis case studyDsilva C, Talmon R, Coifman R, Kevrekidis I. Parsimonious representation of nonlinear dynamical systems through manifold learning: A chemotaxis case study. Applied And Computational Harmonic Analysis 2018, 44: 759-773. DOI: 10.1016/j.acha.2015.06.008.
Provable approximation properties for deep neural networksShaham U, Cloninger A, Coifman R. Provable approximation properties for deep neural networks. Applied And Computational Harmonic Analysis 2018, 44: 537-557. DOI: 10.1016/j.acha.2016.04.003.
Bigeometric organization of deep netsCloninger A, Coifman R, Downing N, Krumholz H. Bigeometric organization of deep nets. Applied And Computational Harmonic Analysis 2018, 44: 774-785. DOI: 10.1016/j.acha.2016.08.001.
Data-Driven Tree Transforms and MetricsMishne G, Talmon R, Cohen I, Coifman RR, Kluger Y. Data-Driven Tree Transforms and Metrics. IEEE Transactions On Signal And Information Processing Over Networks 2017, 4: 451-466. PMID: 30116772, PMCID: PMC6089386, DOI: 10.1109/tsipn.2017.2743561.
Reconstruction of normal forms by learning informed observation geometries from dataYair O, Talmon R, Coifman RR, Kevrekidis IG. Reconstruction of normal forms by learning informed observation geometries from data. Proceedings Of The National Academy Of Sciences Of The United States Of America 2017, 114: e7865-e7874. PMID: 28831006, PMCID: PMC5617245, DOI: 10.1073/pnas.1620045114.
Describing the performance of U.S. hospitals by applying big data analyticsDowning NS, Cloninger A, Venkatesh AK, Hsieh A, Drye EE, Coifman RR, Krumholz HM. Describing the performance of U.S. hospitals by applying big data analytics. PLOS ONE 2017, 12: e0179603. PMID: 28662045, PMCID: PMC5491053, DOI: 10.1371/journal.pone.0179603.
Intrinsic map dynamics exploration for uncharted effective free-energy landscapesChiavazzo E, Covino R, Coifman RR, Gear CW, Georgiou AS, Hummer G, Kevrekidis IG. Intrinsic map dynamics exploration for uncharted effective free-energy landscapes. Proceedings Of The National Academy Of Sciences Of The United States Of America 2017, 114: e5494-e5503. PMID: 28634293, PMCID: PMC5514710, DOI: 10.1073/pnas.1621481114.
Heterogeneity in Early Responses in ALLHAT (Antihypertensive and Lipid-Lowering Treatment to Prevent Heart Attack Trial)Dhruva SS, Huang C, Spatz ES, Coppi AC, Warner F, Li SX, Lin H, Xu X, Furberg CD, Davis BR, Pressel SL, Coifman RR, Krumholz HM. Heterogeneity in Early Responses in ALLHAT (Antihypertensive and Lipid-Lowering Treatment to Prevent Heart Attack Trial). Hypertension 2017, 70: 94-102. PMID: 28559399, DOI: 10.1161/hypertensionaha.117.09221.
TOWARD IDENTIFYING PERSONALIZED PROGNOSIS IN HYPERTENSION: VARIATION IN EARLY RESPONSES IN THE ANTIHYPERTENSIVE AND LIPID-LOWERING TREATMENT TO PREVENT HEART ATTACK TRIAL (ALLHAT)Dhruva S, Huang C, Spatz E, Coppi A, Warner F, Li S, Lin H, Xu X, Furberg C, Davis B, Pressel S, Coifman R, Krumholz H. TOWARD IDENTIFYING PERSONALIZED PROGNOSIS IN HYPERTENSION: VARIATION IN EARLY RESPONSES IN THE ANTIHYPERTENSIVE AND LIPID-LOWERING TREATMENT TO PREVENT HEART ATTACK TRIAL (ALLHAT). Journal Of The American College Of Cardiology 2017, 69: 1762. DOI: 10.1016/s0735-1097(17)35151-3.
Carrier Frequencies, Holomorphy, and UnwindingCoifman R, Steinerberger S, Wu H. Carrier Frequencies, Holomorphy, and Unwinding. SIAM Journal On Mathematical Analysis 2017, 49: 4838-4864. DOI: 10.1137/16m1081087.
Hierarchical Coupled-Geometry Analysis for Neuronal Structure and Activity Pattern DiscoveryMishne G, Talmon R, Meir R, Schiller J, Lavzin M, Dubin U, Coifman R. Hierarchical Coupled-Geometry Analysis for Neuronal Structure and Activity Pattern Discovery. IEEE Journal Of Selected Topics In Signal Processing 2016, 10: 1238-1253. DOI: 10.1109/jstsp.2016.2602061.
Nonlinear Phase Unwinding of FunctionsCoifman R, Steinerberger S. Nonlinear Phase Unwinding of Functions. Journal Of Fourier Analysis And Applications 2016, 23: 778-809. DOI: 10.1007/s00041-016-9489-3.
Data-Driven Reduction for a Class of Multiscale Fast-Slow Stochastic Dynamical SystemsDsilva C, Talmon R, Gear C, Coifman R, Kevrekidis I. Data-Driven Reduction for a Class of Multiscale Fast-Slow Stochastic Dynamical Systems. SIAM Journal On Applied Dynamical Systems 2016, 15: 1327-1351. DOI: 10.1137/151004896.
Hölder–Lipschitz Norms and Their Duals on Spaces with Semigroups, with Applications to Earth Mover’s DistanceLeeb W, Coifman R. Hölder–Lipschitz Norms and Their Duals on Spaces with Semigroups, with Applications to Earth Mover’s Distance. Journal Of Fourier Analysis And Applications 2015, 22: 910-953. DOI: 10.1007/s00041-015-9439-5.
Multivariate time-series analysis and diffusion mapsLian W, Talmon R, Zaveri H, Carin L, Coifman R. Multivariate time-series analysis and diffusion maps. Signal Processing 2015, 116: 13-28. DOI: 10.1016/j.sigpro.2015.04.003.
Intrinsic modeling of stochastic dynamical systems using empirical geometryTalmon R, Coifman R. Intrinsic modeling of stochastic dynamical systems using empirical geometry. Applied And Computational Harmonic Analysis 2015, 39: 138-160. DOI: 10.1016/j.acha.2014.08.006.
Manifold Learning for Latent Variable Inference in Dynamical SystemsTalmon R, Mallat S, Zaveri H, Coifman R. Manifold Learning for Latent Variable Inference in Dynamical Systems. IEEE Transactions On Signal Processing 2015, 63: 3843-3856. DOI: 10.1109/tsp.2015.2432731.
Alternating Diffusion for Common Manifold Learning with Application to Sleep Stage AssessmentLederman R, Talmon R, Wu H, Lo Y, Coifman R. Alternating Diffusion for Common Manifold Learning with Application to Sleep Stage Assessment. 2015, 5758-5762. DOI: 10.1109/icassp.2015.7179075.
Information Integration, Organization, and Numerical Harmonic AnalysisCoifman R, Talmon R, Gavish M, Haddad A. Information Integration, Organization, and Numerical Harmonic Analysis. 2015, 254-271. DOI: 10.1002/9781118853887.ch10.
Quantitative Arbor Analytics: Unsupervised Harmonic Co-Clustering of Populations of Brain Cell Arbors Based on L-MeasureLu Y, Carin L, Coifman R, Shain W, Roysam B. Quantitative Arbor Analytics: Unsupervised Harmonic Co-Clustering of Populations of Brain Cell Arbors Based on L-Measure. Neuroinformatics 2014, 13: 47-63. PMID: 25086878, DOI: 10.1007/s12021-014-9237-2.
Texture separation via a reference setHaddad A, Kushnir D, Coifman R. Texture separation via a reference set. Applied And Computational Harmonic Analysis 2014, 36: 335-347. DOI: 10.1016/j.acha.2013.05.002.
Diffusion methods for aligning medical datasets: Location prediction in CT scan imagesFernández Á, Rabin N, Coifman RR, Eckstein J. Diffusion methods for aligning medical datasets: Location prediction in CT scan images. Medical Image Analysis 2014, 18: 425-432. PMID: 24444669, DOI: 10.1016/j.media.2013.12.009.
Diffusion maps for changing dataCoifman R, Hirn M. Diffusion maps for changing data. Applied And Computational Harmonic Analysis 2014, 36: 79-107. DOI: 10.1016/j.acha.2013.03.001.
Reply to about the electrophysiological basis of resting state networksDuncan D, Duckrow RB, Pincus SM, Goncharova I, Hirsch LJ, Spencer DD, Coifman RR, Zaveri HP. Reply to about the electrophysiological basis of resting state networks. Clinical Neurophysiology 2013, 125: 1713-1714. PMID: 24440225, DOI: 10.1016/j.clinph.2013.12.098.
Nonlinear intrinsic variables and state reconstruction in multiscale simulationsDsilva CJ, Talmon R, Rabin N, Coifman RR, Kevrekidis IG. Nonlinear intrinsic variables and state reconstruction in multiscale simulations. The Journal Of Chemical Physics 2013, 139: 184109. PMID: 24320256, DOI: 10.1063/1.4828457.
Empirical intrinsic geometry for nonlinear modeling and time series filteringTalmon R, Coifman RR. Empirical intrinsic geometry for nonlinear modeling and time series filtering. Proceedings Of The National Academy Of Sciences Of The United States Of America 2013, 110: 12535-12540. PMID: 23847205, PMCID: PMC3732962, DOI: 10.1073/pnas.1307298110.
Bi-stochastic kernels via asymmetric affinity functionsCoifman R, Hirn M. Bi-stochastic kernels via asymmetric affinity functions. Applied And Computational Harmonic Analysis 2013, 35: 177-180. DOI: 10.1016/j.acha.2013.01.001.
Intracranial EEG evaluation of relationship within a resting state networkDuncan D, Duckrow RB, Pincus SM, Goncharova I, Hirsch LJ, Spencer DD, Coifman RR, Zaveri HP. Intracranial EEG evaluation of relationship within a resting state network. Clinical Neurophysiology 2013, 124: 1943-1951. PMID: 23790525, DOI: 10.1016/j.clinph.2013.03.028.
Diffusion Maps for Signal Processing: A Deeper Look at Manifold-Learning Techniques Based on Kernels and GraphsTalmon R, Cohen I, Gannot S, Coifman R. Diffusion Maps for Signal Processing: A Deeper Look at Manifold-Learning Techniques Based on Kernels and Graphs. IEEE Signal Processing Magazine 2013, 30: 75-86. DOI: 10.1109/msp.2013.2250353.
QUANTITATIVE PROFILING OF MICROGLIA POPULATIONS USING HARMONIC CO-CLUSTERING OF ARBOR MORPHOLOGY MEASUREMENTSYanbin L, Trett K, Shain W, Carin L, Coifman R, Roysam B. QUANTITATIVE PROFILING OF MICROGLIA POPULATIONS USING HARMONIC CO-CLUSTERING OF ARBOR MORPHOLOGY MEASUREMENTS. 2013, 1360-1363. DOI: 10.1109/isbi.2013.6556785.
Identifying preseizure state in intracranial EEG data using diffusion kernels.Duncan D, Talmon R, Zaveri HP, Coifman RR. Identifying preseizure state in intracranial EEG data using diffusion kernels. Mathematical Biosciences And Engineering 2013, 10: 579-90. PMID: 23906137, DOI: 10.3934/mbe.2013.10.579.
Multiscale data sampling and function extensionBermanis A, Averbuch A, Coifman R. Multiscale data sampling and function extension. Applied And Computational Harmonic Analysis 2013, 34: 15-29. DOI: 10.1016/j.acha.2012.03.002.
Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical ImagingTalmon R, Shkolnisky Y, Coifman R. Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical Imaging. 2013, 8085: 441-448. DOI: 10.1007/978-3-642-40020-9_48.
Harmonic Analysis of Databases and MatricesCoifman R, Gavish M. Harmonic Analysis of Databases and Matrices. 2012, 297-310. DOI: 10.1007/978-0-8176-8376-4_15.
Sampling, denoising and compression of matrices by coherent matrix organizationGavish M, Coifman R. Sampling, denoising and compression of matrices by coherent matrix organization. Applied And Computational Harmonic Analysis 2012, 33: 354-369. DOI: 10.1016/j.acha.2012.02.001.
The automated malnutrition assessmentDavid G, Bernstein LH, Coifman RR. The automated malnutrition assessment. Nutrition 2012, 29: 113-121. PMID: 23116774, DOI: 10.1016/j.nut.2012.04.017.
Supervised Graph-Based Processing for Sequential Transient Interference SuppressionTalmon R, Cohen I, Gannot S, Coifman R. Supervised Graph-Based Processing for Sequential Transient Interference Suppression. IEEE/ACM Transactions On Audio Speech And Language Processing 2012, 20: 2528-2538. DOI: 10.1109/tasl.2012.2205243.
Heterogeneous datasets representation and learning using diffusion maps and Laplacian pyramidsRabin N, Coifman R. Heterogeneous datasets representation and learning using diffusion maps and Laplacian pyramids. 2012, 189-199. DOI: 10.1137/1.9781611972825.17.
Converting Hematology Based Data into an Inferential InterpretationBernstein L, David G, Rucinski J, Coifman R. Converting Hematology Based Data into an Inferential Interpretation. 2012 DOI: 10.5772/35196.
Anisotropic diffusion on sub-manifolds with application to Earth structure classificationKushnir D, Haddad A, Coifman R. Anisotropic diffusion on sub-manifolds with application to Earth structure classification. Applied And Computational Harmonic Analysis 2012, 32: 280-294. DOI: 10.1016/j.acha.2011.06.002.
Parametrization of Linear Systems Using Diffusion KernelsTalmon R, Kushnir D, Coifman R, Cohen I, Gannot S. Parametrization of Linear Systems Using Diffusion Kernels. IEEE Transactions On Signal Processing 2011, 60: 1159-1173. DOI: 10.1109/tsp.2011.2177973.
Harmonic Analysis of Digital Data BasesCoifman R, Gavish M. Harmonic Analysis of Digital Data Bases. 2011, 161-197. DOI: 10.1007/978-0-8176-8095-4_9.
Coarse Collective Dynamics of Animal GroupsFrewen T, Couzin I, Kolpas A, Moehlis J, Coifman R, Kevrekidis I. Coarse Collective Dynamics of Animal Groups. 2010, 75: 299-309. DOI: 10.1007/978-3-642-14941-2_16.
Diffusion Geometry Based Nonlinear Methods for Hyperspectral Change DetectionCoifman R, Coppi A, Hirn M, Warner F. Diffusion Geometry Based Nonlinear Methods for Hyperspectral Change Detection. 2010 DOI: 10.21236/ada524546.
Reference free structure determination through eigenvectors of center of mass operatorsCoifman RR, Shkolnisky Y, Sigworth FJ, Singer A. Reference free structure determination through eigenvectors of center of mass operators. Applied And Computational Harmonic Analysis 2010, 28: 296-312. PMID: 20436952, PMCID: PMC2860334, DOI: 10.1016/j.acha.2009.11.003.
Extensions of Hardy Spaces and Their Use in AnalysisCoifman R, Weiss G. Extensions of Hardy Spaces and Their Use in Analysis. 2009, 295-371. DOI: 10.1515/9781400827268.295.
Fast wavelet transforms and numerical algorithmsBeylkin G, Coifman R, Rokhlin V. Fast wavelet transforms and numerical algorithms. 2009, 741-783. DOI: 10.1515/9781400827268.741.
Chemical modifier screen identifies HDAC inhibitors as suppressors of PKD modelsCao Y, Semanchik N, Lee SH, Somlo S, Barbano PE, Coifman R, Sun Z. Chemical modifier screen identifies HDAC inhibitors as suppressors of PKD models. Proceedings Of The National Academy Of Sciences Of The United States Of America 2009, 106: 21819-21824. PMID: 19966229, PMCID: PMC2799791, DOI: 10.1073/pnas.0911987106.
Detecting consistent common lines in cryo-EM by votingSinger A, Coifman RR, Sigworth FJ, Chester DW, Shkolnisky Y. Detecting consistent common lines in cryo-EM by voting. Journal Of Structural Biology 2009, 169: 312-322. PMID: 19925867, PMCID: PMC2826584, DOI: 10.1016/j.jsb.2009.11.003.
Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion mapsSinger A, Erban R, Kevrekidis IG, Coifman RR. Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps. Proceedings Of The National Academy Of Sciences Of The United States Of America 2009, 106: 16090-16095. PMID: 19706457, PMCID: PMC2752552, DOI: 10.1073/pnas.0905547106.
Audio-Visual Group Recognition Using Diffusion MapsKeller Y, Coifman R, Lafon S, Zucker S. Audio-Visual Group Recognition Using Diffusion Maps. IEEE Transactions On Signal Processing 2009, 58: 403-413. DOI: 10.1109/tsp.2009.2030861.
Wavelets and their applications past and futureCoifman R. Wavelets and their applications past and future. Proceedings Of SPIE--the International Society For Optical Engineering 2009, 7343: 734302-734302-13. DOI: 10.1117/12.823537.
Diffusion semigroups: A diffusion‐map approach to nonlinear decomposition of seismic data without predetermined basisLau A, Yin C, Coifman R, Vassiliou A. Diffusion semigroups: A diffusion‐map approach to nonlinear decomposition of seismic data without predetermined basis. 2009, 2327-2331. DOI: 10.1190/1.3255326.
Compressive Mahalanobis ClassifiersBarbano P, Coifman R. Compressive Mahalanobis Classifiers. 2008, 345-349. DOI: 10.1109/mlsp.2008.4685504.
Graph Laplacian Tomography from Unknown Random ProjectionsCoifman RR, Shkolnisky Y, Sigworth FJ, Singer A. Graph Laplacian Tomography from Unknown Random Projections. IEEE Transactions On Image Processing 2008, 17: 1891-1899. PMID: 18784036, DOI: 10.1109/tip.2008.2002305.
Non-linear independent component analysis with diffusion mapsSinger A, Coifman R. Non-linear independent component analysis with diffusion maps. Applied And Computational Harmonic Analysis 2008, 25: 226-239. DOI: 10.1016/j.acha.2007.11.001.
Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic SystemsCoifman R, Kevrekidis I, Lafon S, Maggioni M, Nadler B. Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems. Multiscale Modeling And Simulation 2008, 7: 842-864. DOI: 10.1137/070696325.
A Framework for Discrete Integral Transformations IIThe 2D Discrete Radon TransformAverbuch A, Coifman R, Donoho D, Israeli M, Shkolnisky Y, Sedelnikov I. A Framework for Discrete Integral Transformations IIThe 2D Discrete Radon Transform. SIAM Journal On Scientific Computing 2008, 30: 785-803. DOI: 10.1137/060650301.
A Framework for Discrete Integral Transformations IThe Pseudopolar Fourier TransformAverbuch A, Coifman R, Donoho D, Israeli M, Shkolnisky Y. A Framework for Discrete Integral Transformations IThe Pseudopolar Fourier Transform. SIAM Journal On Scientific Computing 2008, 30: 764-784. DOI: 10.1137/060650283.
Diffusion Maps - a Probabilistic Interpretation for Spectral Embedding and Clustering AlgorithmsNadler B, Lafon S, Coifman R, Kevrekidis I. Diffusion Maps - a Probabilistic Interpretation for Spectral Embedding and Clustering Algorithms. 2008, 58: 238-260. DOI: 10.1007/978-3-540-73750-6_10.
Diffusion Maps and Geometric Harmonics for Automatic Target Recognition (ATR). Volume 2. AppendicesZucker S, Coifman R. Diffusion Maps and Geometric Harmonics for Automatic Target Recognition (ATR). Volume 2. Appendices. 2007 DOI: 10.21236/ada476152.
Variable-free exploration of stochastic models: A gene regulatory network exampleErban R, Frewen TA, Wang X, Elston TC, Coifman R, Nadler B, Kevrekidis IG. Variable-free exploration of stochastic models: A gene regulatory network example. The Journal Of Chemical Physics 2007, 126: 155103. PMID: 17461667, DOI: 10.1063/1.2718529.
Validation of low-dimensional models using Diffusion maps and Harmonic AveragingHagen G, Smith T, Banasuk A, Coifman R, Mezić I. Validation of low-dimensional models using Diffusion maps and Harmonic Averaging. 2007, 5353-5357. DOI: 10.1109/cdc.2007.4434821.
Data Fusion and Multicue Data Matching by Diffusion MapsLafon S, Keller Y, Coifman RR. Data Fusion and Multicue Data Matching by Diffusion Maps. IEEE Transactions On Pattern Analysis And Machine Intelligence 2006, 28: 1784-1797. PMID: 17063683, DOI: 10.1109/tpami.2006.223.
Fast and accurate Polar Fourier transformAverbuch A, Coifman R, Donoho D, Elad M, Israeli M. Fast and accurate Polar Fourier transform. Applied And Computational Harmonic Analysis 2006, 21: 145-167. DOI: 10.1016/j.acha.2005.11.003.
Diffusion waveletsCoifman R, Maggioni M. Diffusion wavelets. Applied And Computational Harmonic Analysis 2006, 21: 53-94. DOI: 10.1016/j.acha.2006.04.004.
Diffusion mapsCoifman R, Lafon S. Diffusion maps. Applied And Computational Harmonic Analysis 2006, 21: 5-30. DOI: 10.1016/j.acha.2006.04.006.
Diffusion maps, spectral clustering and reaction coordinates of dynamical systemsNadler B, Lafon S, Coifman R, Kevrekidis I. Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Applied And Computational Harmonic Analysis 2006, 21: 113-127. DOI: 10.1016/j.acha.2005.07.004.
Geometric harmonics: A novel tool for multiscale out-of-sample extension of empirical functionsCoifman R, Lafon S. Geometric harmonics: A novel tool for multiscale out-of-sample extension of empirical functions. Applied And Computational Harmonic Analysis 2006, 21: 31-52. DOI: 10.1016/j.acha.2005.07.005.
Special issue on diffusion mapsCoifman R. Special issue on diffusion maps. Applied And Computational Harmonic Analysis 2006, 21: 3. DOI: 10.1016/j.acha.2006.05.011.
Diffusion wavelet packetsBremer J, Coifman R, Maggioni M, Szlam A. Diffusion wavelet packets. Applied And Computational Harmonic Analysis 2006, 21: 95-112. DOI: 10.1016/j.acha.2006.04.005.
Geometries of sensor outputs, inference, and information processingCoifman R, Lafon S, Maggioni M, Keller Y, Szlam A, Warner F, Zucker S. Geometries of sensor outputs, inference, and information processing. Proceedings Of SPIE--the International Society For Optical Engineering 2006, 6232: 623209-623209-10. DOI: 10.1117/12.669723.
Hyperspectral microscopic analysis of normal, benign and carcinoma microarray tissue sectionsMaggioni M, Davis G, Warner F, Geshwind F, Coppi A, DeVerse R, Coifman R. Hyperspectral microscopic analysis of normal, benign and carcinoma microarray tissue sections. Proceedings Of SPIE--the International Society For Optical Engineering 2006, 6091: 60910i-60910i-9. DOI: 10.1117/12.646078.
Geometric harmonic analysis in high dimensions: Challenges and opportunitiesCoifman R. Geometric harmonic analysis in high dimensions: Challenges and opportunities. 2006, 395: 39-45. DOI: 10.1090/conm/395/7415.
Panel DiscussionCoifman R, Bonami A, Bryant R, D’Angelo J. Panel Discussion. 2006, 395: 133-145. DOI: 10.1090/conm/395/08.
QEEG-Based Classification with Wavelet Packet and Microstate Features for Triage Applications in the ERPrichep L, Causevic E, Coifman R, Isenhart R, Jacquin A, John E, Maggioni M, Warner F. QEEG-Based Classification with Wavelet Packet and Microstate Features for Triage Applications in the ER. 2006, 3: iii - 1136-iii - 1139. DOI: 10.1109/icassp.2006.1660859.
Geometric diffusions for the analysis of data from sensor networksCoifman RR, Maggioni M, Zucker SW, Kevrekidis IG. Geometric diffusions for the analysis of data from sensor networks. Current Opinion In Neurobiology 2005, 15: 576-584. PMID: 16150587, DOI: 10.1016/j.conb.2005.08.012.
Diffusion-driven multiscale analysis on manifolds and graphs: top-down and bottom-up constructionsSzlam A, Maggioni M, Coifman R, BremerJr. J. Diffusion-driven multiscale analysis on manifolds and graphs: top-down and bottom-up constructions. Proceedings Of SPIE--the International Society For Optical Engineering 2005, 5914: 59141d-59141d-11. DOI: 10.1117/12.616931.
Biorthogonal diffusion wavelets for multiscale representations on manifolds and graphsMaggioni M, BremerJr. J, Coifman R, Szlam A. Biorthogonal diffusion wavelets for multiscale representations on manifolds and graphs. Proceedings Of SPIE--the International Society For Optical Engineering 2005, 5914: 59141m-59141m-13. DOI: 10.1117/12.616909.
The prediction error in CLS and PLS: the importance of feature selection prior to multivariate calibrationNadler B, Coifman R. The prediction error in CLS and PLS: the importance of feature selection prior to multivariate calibration. Journal Of Chemometrics 2005, 19: 107-118. DOI: 10.1002/cem.915.
Comparison of Systems using Diffusion MapsVaidya U, Hagen G, Lafon S, Banaszuk A, Mezic I, Coifman R. Comparison of Systems using Diffusion Maps. 2005, 7931-7936. DOI: 10.1109/cdc.2005.1583444.
COSI Plenary SpeakerCoifman R. COSI Plenary Speaker. 2005, ctua3. DOI: 10.1364/cosi.2005.ctua3.
Partial least squares, Beer's law and the net analyte signal: statistical modeling and analysisNadler B, Coifman R. Partial least squares, Beer's law and the net analyte signal: statistical modeling and analysis. Journal Of Chemometrics 2005, 19: 45-54. DOI: 10.1002/cem.906.
Perspectives and Challenges to Harmonic Analysis and Geometry in High Dimensions: Geometric Diffusions as a Tool for Harmonic Analysis and Structure Definition of DataCoifman R. Perspectives and Challenges to Harmonic Analysis and Geometry in High Dimensions: Geometric Diffusions as a Tool for Harmonic Analysis and Structure Definition of Data. 2005, 27: 27-35. DOI: 10.1007/3-540-30434-7_3.
A two‐stage approach to removing noise from recorded musicBerger J, Goldberg M, Coifman R, Goldberg M, Coifman R. A two‐stage approach to removing noise from recorded music. The Journal Of The Acoustical Society Of America 2004, 115: 2493-2494. DOI: 10.1121/1.4782901.
Analysis of Hyperspectral Colon Tissue Images using Vocal Synthesis ModelsCassidy R, Berger J, Lee K, Maggioni M, Coifman R. Analysis of Hyperspectral Colon Tissue Images using Vocal Synthesis Models. 2004, 2: 1611-1615. DOI: 10.1109/acssc.2004.1399429.
Iterative Denoising for Cross-Corpus DiscoveryPriebe C, Marchette D, Park Y, Wegman E, Solka J, Socolinsky D, Karakos D, Church K, Guglielmi R, Coifman R, Lin D, Healy D, Jacobs M, Tsao A. Iterative Denoising for Cross-Corpus Discovery. 2004, 381-392. DOI: 10.1007/978-3-7908-2656-2_31.
Application of spatial light modulators for new modalities in spectrometry and imagingDeVerse R, Coifman R, Coppi A, Fateley W, Geshwind F, Hammaker R, Valenti S, Warner F, Davis G. Application of spatial light modulators for new modalities in spectrometry and imaging. Proceedings Of SPIE--the International Society For Optical Engineering 2003, 4959: 12-22. DOI: 10.1117/12.477941.
An object detection strategy for uncooled infrared imagerySchmitt H, Riddle J, Brucks T, Coifman R, Cohen I. An object detection strategy for uncooled infrared imagery. Journal Of Modern Optics 2003, 50: 1373-1382. DOI: 10.1080/09500340308235211.
Accurate and Fast Discrete Polar Fourier TransformAverbuch A, Coifman R, Donoho D, Elad M, Israeli M. Accurate and Fast Discrete Polar Fourier Transform. 2003, 2: 1933-1937. DOI: 10.1109/acssc.2003.1292319.
An object detection strategy for uncooled infrared imageryBrucks T, Coifman R, Cohen I, Schmitt H, Riddle J. An object detection strategy for uncooled infrared imagery. Journal Of Modern Optics 2003, 50: 1373-1382. DOI: 10.1080/0950034021000011284.
Digital implementation of ridgelet packetsFlesia A, Hel-or H, Averbuch A, Candès E, Coifman R, Donoho D. Digital implementation of ridgelet packets. 2003, 10: 31-60. DOI: 10.1016/s1570-579x(03)80030-7.
Brushlets : Steerable wavelet packetsMeyer F, Coifman R. Brushlets : Steerable wavelet packets. 2003, 10: 61-82. DOI: 10.1016/s1570-579x(03)80031-9.
Discriminant feature extraction using empirical probability density estimation and a local basis librarySaito N, Coifman R, Geshwind F, Warner F. Discriminant feature extraction using empirical probability density estimation and a local basis library. Pattern Recognition 2002, 35: 2841-2852. DOI: 10.1016/s0031-3203(02)00019-5.
Local discontinuity measures for 3-D seismic dataLocal Discontinuity MeasuresCohen I, Coifman R. Local discontinuity measures for 3-D seismic dataLocal Discontinuity Measures. Geophysics 2002, 67: 1933-1945. DOI: 10.1190/1.1527094.
The other spectroscopy: demonstration of a new de-dispersion imaging spectrographFateley W, Hammaker R, DeVerse R, Coifman R, Geshwind F. The other spectroscopy: demonstration of a new de-dispersion imaging spectrograph. Vibrational Spectroscopy 2002, 29: 163-170. DOI: 10.1016/s0924-2031(01)00205-3.
Low-bit-rate efficient compression for seismic dataAverbuch A, Meyer F, Stroemberg J, Coifman R, Vassiliou A. Low-bit-rate efficient compression for seismic data. Proceedings Of SPIE--the International Society For Optical Engineering 2001, 4478: 271-281. DOI: 10.1117/12.449714.
On efficient computation of multidimensional oscillatory integrals with local Fourier basesAverbuch A, Braverman E, Israeli M, Coifman R. On efficient computation of multidimensional oscillatory integrals with local Fourier bases. Nonlinear Analysis 2001, 47: 3491-3502. DOI: 10.1016/s0362-546x(01)00466-7.
A New Basis Selection Paradigm for Wavelet Packet Image CodingRajpoot N, Wilson R, Meyer F, Coifman R. A New Basis Selection Paradigm for Wavelet Packet Image Coding. 2001, 3: 816-819. DOI: 10.1109/icip.2001.958245.
New Methods of Controlled Total Variation Reduction for Digital FunctionsCoifman R, Sowa A. New Methods of Controlled Total Variation Reduction for Digital Functions. SIAM Journal On Numerical Analysis 2001, 39: 480-498. DOI: 10.1137/s0036142999362031.
Low bit-rate efficient compression for seismic dataAverbuch A, Meyer R, Stromberg J, Coifman R, Vassiliou A. Low bit-rate efficient compression for seismic data. IEEE Transactions On Image Processing 2001, 10: 1801-1814. PMID: 18255520, DOI: 10.1109/83.974565.
Multi-Layered Image RepresentationMeyer F, Averbuch A, Coifman R. Multi-Layered Image Representation. 2001, 19: 281-304. DOI: 10.1007/978-94-015-9715-9_10.
Applied and Computational Harmonic Analysis"Applied and Computational Harmonic Analysis," 10,#1, with F. Geshwind, Y. Meyer, Noiselets, Jan 2001, pp. 27-44.
NoiseletsCoifman R, Geshwind F, Meyer Y. Noiselets. Applied And Computational Harmonic Analysis 2001, 10: 27-44. DOI: 10.1006/acha.2000.0313.
Combining the Calculus of Variations and Wavelets for Image EnhancementCoifman R, Sowa A. Combining the Calculus of Variations and Wavelets for Image Enhancement. Applied And Computational Harmonic Analysis 2000, 9: 1-18. DOI: 10.1006/acha.2000.0299.
Efficient Computation of Oscillatory Integrals via Adaptive Multiscale Local Fourier BasesAverbuch A, Braverman E, Coifman R, Israeli M, Sidi A. Efficient Computation of Oscillatory Integrals via Adaptive Multiscale Local Fourier Bases. Applied And Computational Harmonic Analysis 2000, 9: 19-53. DOI: 10.1006/acha.2000.0305.
Challenges in AnalysisCoifman R. Challenges in Analysis. 2000, 471-480. DOI: 10.1007/978-3-0346-0425-3_2.
Adaptive solution of multidimensional PDE via tensor product wavelet decomposition"Adaptive solution of multidimensional PDE via tensor product wavelet decomposition," with A. Averbuch, G. Beylkin, P. Fisher, M. Israeli, To be published in ACHA, 2000.
An improved operator expansion algorithm for direct and inverse scattering computationsCoifman R, Goldberg M, Hrycak T, Israeli M, Rokhlin V. An improved operator expansion algorithm for direct and inverse scattering computations. Waves In Random Media 1999, 9: 441-457. DOI: 10.1088/0959-7174/9/3/311.
On zerotree quantization for embedded wavelet packet image codingRajpoot N, Meyer F, Wilson R, Coifman R. On zerotree quantization for embedded wavelet packet image coding. 1999, 2: 283-287 vol.2. DOI: 10.1109/icip.1999.822901.
The pseudopolar FFT and its applications"The pseudopolar FFT and its applications," with A. Averbuch, R. Coifman, D. Donoho, M. Israeli, J. Walden, Research Report YALEU/DCS/RR-1178, 1999.
On zerotree quantization for embedded wavelet packet image coding"On zerotree quantization for embedded wavelet packet image coding," with N. Rajpoot, F. Meyer, R. Wilson, Proceedings of the 1999 International Conference on Image Processing, Piscataway, NJ, 2:283-7.
Multilayered image compressionMeyer F, Averbuch A, Stroemberg J, Coifman R. Multilayered image compression. Proceedings Of SPIE--the International Society For Optical Engineering 1998, 3458: 128-139. DOI: 10.1117/12.328130.
Adapted waveform analysis in sound processingCoifman R. Adapted waveform analysis in sound processing. The Journal Of The Acoustical Society Of America 1998, 103: 2821-2822. DOI: 10.1121/1.421920.
Multi-layered image representation: application to image compressionMeyer F, Averbuch A, Stromberg J, Coifman R. Multi-layered image representation: application to image compression. 1998, 2: 292-296 vol.2. DOI: 10.1109/icip.1998.723367.
Fast wavelet packet image compressionMeyer F, Averbuch A, Stromberg J, Coifman R. Fast wavelet packet image compression. Proceedings DCC '98 Data Compression Conference (Cat No98TB100225) 1998, 563. DOI: 10.1109/dcc.1998.672305.
Multiscale Inversion of Elliptic OperatorsAverbuch A, Beylkin G, Coifman R, Israeli M. Multiscale Inversion of Elliptic Operators. 1998, 7: 341-359. DOI: 10.1016/s1874-608x(98)80013-7.
Scattering and inverse scatering for first-order systemsBeals R, Coifman R. Scattering and inverse scatering for first-order systems. Journal Of Differential Geometry 1998, 4: 467-519. DOI: 10.4310/sdg.1998.v4.n1.a9.
PrefaceZeevi Y, Coifman R. Preface. 1998, 7: ix-xii. DOI: 10.1016/s1874-608x(98)80001-0.
Extraction of geological information from acoustic well-logging waveforms using time-frequency waveletsSaito N, Coifman R. Extraction of geological information from acoustic well-logging waveforms using time-frequency wavelets. Geophysics 1997, 62: 1921-1930. DOI: 10.1190/1.1444292.
Adapted Waveform Analysis for ATDIR.Coifman R, Rokhlin V. Adapted Waveform Analysis for ATDIR. 1997 DOI: 10.21236/ada326111.
Brushlets: A Tool for Directional Image Analysis and Image CompressionMeyer F, Coifman R. Brushlets: A Tool for Directional Image Analysis and Image Compression. Applied And Computational Harmonic Analysis 1997, 4: 147-187. DOI: 10.1006/acha.1997.0208.
Adapted waveform analysis: a tool for audio, image, and video enhancementCoifman R, Woog L. Adapted waveform analysis: a tool for audio, image, and video enhancement. Proceedings Of SPIE--the International Society For Optical Engineering 1997, 2942: 134-149. DOI: 10.1117/12.267180.
Motion compensation of wavelet coefficients for very low bit rate video codingMeyer F, Averbuch A, Coifman R. Motion compensation of wavelet coefficients for very low bit rate video coding. 1997, 3: 638-641 vol.3. DOI: 10.1109/icip.1997.632202.
Modulated Malvar–Wilson BasesCoifman R, Matviyenko G, Meyer Y. Modulated Malvar–Wilson Bases. Applied And Computational Harmonic Analysis 1997, 4: 58-61. DOI: 10.1006/acha.1996.0198.
Adapted waveform analysis: Wavelet packets as a toolkit for efficient seismic processingCoifman R. Adapted waveform analysis: Wavelet packets as a toolkit for efficient seismic processing. 1997, 1925-1928. DOI: 10.1190/1.1885819.
Directional image compression with brushletsMeyer F, Coifman R. Directional image compression with brushlets. 1996, 189-192. DOI: 10.1109/tfsa.1996.547213.
The local Karhunen-Loeve basesCoifman R, Saito N. The local Karhunen-Loeve bases. 1996, 129-132. DOI: 10.1109/tfsa.1996.546703.
Adaptive directional image compression with oriented waveletsMeyer F, Coifman R. Adaptive directional image compression with oriented wavelets. 1996, 1: 601-604 vol.1. DOI: 10.1109/icip.1996.559568.
Biorthogonal brushlet bases for directional image compressionMeyer F, Coifman R. Biorthogonal brushlet bases for directional image compression. 1996, 219: 285-294. DOI: 10.1007/3-540-76076-8_141.
7. Opérateurs Bilinéaires et RenormalisationCoifman R, Dobyinsky S, Meyer Y. 7. Opérateurs Bilinéaires et Renormalisation. 1995, 146-161. DOI: 10.1515/9781400852949.146.
8. Numerical Harmonic AnalysisCoifman R, Meyer Y, Wickerhauser V. 8. Numerical Harmonic Analysis. 1995, 162-174. DOI: 10.1515/9781400852949.162.
Local discriminant bases and their applicationsSaito N, Coifman R. Local discriminant bases and their applications. Journal Of Mathematical Imaging And Vision 1995, 5: 337-358. DOI: 10.1007/bf01250288.
Adapted waveform analysis, wavelet packets, and local cosine libraries as a tool for image processingCoifman R, Woog L. Adapted waveform analysis, wavelet packets, and local cosine libraries as a tool for image processing. Proceedings Of SPIE--the International Society For Optical Engineering 1995, 2567: 31-39. DOI: 10.1117/12.218485.
Gaussian BasesCoifman R, Meyer Y. Gaussian Bases. Applied And Computational Harmonic Analysis 1995, 2: 299-302. DOI: 10.1006/acha.1995.1022.
Wavelet packets as a tool for sound processingCoifman R. Wavelet packets as a tool for sound processing. The Journal Of The Acoustical Society Of America 1995, 97: 3287-3287. DOI: 10.1121/1.411553.
On local orthonormal bases for classification and regressionSaito N, Coifman R. On local orthonormal bases for classification and regression. 2013 IEEE International Conference On Acoustics, Speech And Signal Processing 1995, 3: 1529-1532 vol.3. DOI: 10.1109/icassp.1995.479852.
Feature Extraction by Best-Basis and Wavelet Methods.Wickerhauser M, Weiss G, Coifman R. Feature Extraction by Best-Basis and Wavelet Methods. 1995 DOI: 10.21236/ada299572.
Adapted waveform "de-noising" for medical signals and imagesCoifman R, Wickerhauser M. Adapted waveform "de-noising" for medical signals and images. IEEE Pulse 1995, 14: 578-586. DOI: 10.1109/51.464774.
Translation-Invariant De-NoisingCoifman R, Donoho D. Translation-Invariant De-Noising. 1995, 103: 125-150. DOI: 10.1007/978-1-4612-2544-7_9.
Local discriminant basesSaito N, Coifman R. Local discriminant bases. Proceedings Of SPIE--the International Society For Optical Engineering 1994, 2303: 2-14. DOI: 10.1117/12.188763.
Adapted waveform analysis as a tool for modeling, feature extraction, and denoisingCoifman R, Wickerhauser M. Adapted waveform analysis as a tool for modeling, feature extraction, and denoising. Optical Engineering 1994, 33: 2170-2174. DOI: 10.1117/12.173206.
Selection of best bases for classification and regressionCoifman R, Saito N. Selection of best bases for classification and regression. 1994, 51. DOI: 10.1109/wits.1994.513882.
Signal processing and compression with wavelet packetsCoifman R, Meyer Y, Quake S, Wickerhauser M. Signal processing and compression with wavelet packets. 1994, 363-379. DOI: 10.1007/978-94-011-1028-0_18.
Fast Numerical Computations of Oscillatory Integrals Related to Acoustic Scattering, IBradie B, Coifman R, Grossmann A. Fast Numerical Computations of Oscillatory Integrals Related to Acoustic Scattering, I. Applied And Computational Harmonic Analysis 1993, 1: 94-99. DOI: 10.1006/acha.1993.1007.
Local cosine transform: a method for the reduction of the blocking effect in JPEGAharoni G, Averbuch A, Coifman R, Israeli M. Local cosine transform: a method for the reduction of the blocking effect in JPEG. Proceedings Of SPIE--the International Society For Optical Engineering 1993, 2034: 205-217. DOI: 10.1117/12.162065.
Adapted waveform analysis, wavelet packets, and local cosine libraries as a tool for image processingCoifman R. Adapted waveform analysis, wavelet packets, and local cosine libraries as a tool for image processing. Proceedings Of SPIE--the International Society For Optical Engineering 1993, 2034: 2-12. DOI: 10.1117/12.162053.
Advanced transformational analysis applied to e-beam proximity effect correctionBarouch E, Coifman R, T. J, Peckerar M, Rokhlin V. Advanced transformational analysis applied to e-beam proximity effect correction. Proceedings Of SPIE--the International Society For Optical Engineering 1993, 1924: 150-170. DOI: 10.1117/12.146501.
The fast multipole method for the wave equation: a pedestrian prescriptionCoifman R, Rokhlin V, Wandzura S. The fast multipole method for the wave equation: a pedestrian prescription. IEEE Antennas And Propagation Magazine 1993, 35: 7-12. DOI: 10.1109/74.250128.
Interpolation of Banach Spaces, Perron Processes, and Yang-MillsCoifman R, Semmes S. Interpolation of Banach Spaces, Perron Processes, and Yang-Mills. American Journal Of Mathematics 1993, 115: 243. DOI: 10.2307/2374859.
Local cosine transform — a method for the reduction of the blocking effect in JPEGAharoni G, Averbuch A, Coifman R, Israeli M. Local cosine transform — a method for the reduction of the blocking effect in JPEG. Journal Of Mathematical Imaging And Vision 1993, 3: 7-38. DOI: 10.1007/bf01248401.
Wavelets and adapted waveform analysis. A toolkit for signal processing and numerical analysisCoifman R, Wickerhauser M. Wavelets and adapted waveform analysis. A toolkit for signal processing and numerical analysis. 1993, 47: 119-153. DOI: 10.1090/psapm/047/1268000.
The fast multipole method for electromagnetic scattering calculationsCoifman R, Rokhlin V, Wandzura S. The fast multipole method for electromagnetic scattering calculations. 1993, 48-51 vol.1. DOI: 10.1109/aps.1993.385405.
Wavelet-Like Bases for the Fast Solution of Second-Kind Integral EquationsAlpert B, Beylkin G, Coifman R, Rokhlin V. Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations. SIAM Journal On Scientific Computing 1993, 14: 159-184. DOI: 10.1137/0914010.
The Inverse Spectral Method on the PlaneCoifman R, Fokas A. The Inverse Spectral Method on the Plane. 1993, 58-85. DOI: 10.1007/978-3-642-58045-1_5.
Local Cosine Transform — A Method for the Reduction of the Blocking Effect in JPEGAharoni G, Averbuch A, Coifman R, Israeli M. Local Cosine Transform — A Method for the Reduction of the Blocking Effect in JPEG. 1993, 7-38. DOI: 10.1007/978-1-4615-3260-6_2.
Adapted waveform analysis, wavelet-packets, and local cosine librariesCoifman R. Adapted waveform analysis, wavelet-packets, and local cosine libraries. Proceedings Of SPIE--the International Society For Optical Engineering 1992, 1826: 14-26. DOI: 10.1117/12.131583.
Hardy Space Estimates for Multilinear Operators, ICoifman R, Grafakos L. Hardy Space Estimates for Multilinear Operators, I. Revista Matemática Iberoamericana 1992, 8: 45-67. DOI: 10.4171/rmi/116.
Entropy-based algorithms for best basis selectionCoifman R, Wickerhauser M. Entropy-based algorithms for best basis selection. IEEE Transactions On Information Theory 1992, 38: 713-718. DOI: 10.1109/18.119732.
Analyse de Fourier adaptée à une partition par des cubes de WhitneyCoifman R, Meyer Y. Analyse de Fourier adaptée à une partition par des cubes de Whitney. Colloquium Mathematicum 1992, 63: 111-117. DOI: 10.4064/cm-63-1-111-117.
Fast wavelet transforms and numerical algorithms IBeylkin G, Coifman R, Rokhlin V. Fast wavelet transforms and numerical algorithms I. Communications On Pure And Applied Mathematics 1991, 44: 141-183. DOI: 10.1002/cpa.3160440202.
L2 Estimates in Nonlinear Fourier AnalysisCoifman R, Semmes S. L2 Estimates in Nonlinear Fourier Analysis. 1991, 79-95. DOI: 10.1007/978-4-431-68168-7_7.
Wavelets for the Fast Solution of Second-Kind Integral EquationsAlpert B, Beylkin G, Coifman R, Rokhlin V. Wavelets for the Fast Solution of Second-Kind Integral Equations. 1990 DOI: 10.21236/ada233650.
The scattering transform for the Benjamin-Ono equationCoifman R, Wickerhauser M. The scattering transform for the Benjamin-Ono equation. Inverse Problems 1990, 6: 825. DOI: 10.1088/0266-5611/6/5/011.
Wavelet Analysis and Signal ProcessingCoifman R. Wavelet Analysis and Signal Processing. 1990, 22: 59-68. DOI: 10.1007/978-1-4684-6393-4_5.
Multiresolution Analysis in Non-Homogeneous MediaCoifman R. Multiresolution Analysis in Non-Homogeneous Media. 1990, 259-262. DOI: 10.1007/978-3-642-75988-8_25.
Two Elementary Proofs of the L 2 Boundedness of Cauchy Integrals on Lipschitz CurvesCoifman R, Jones P, Semmes S. Two Elementary Proofs of the L 2 Boundedness of Cauchy Integrals on Lipschitz Curves. Journal Of The American Mathematical Society 1989, 2: 553. DOI: 10.2307/1990943.
Linear spectral problems, non-linear equations and the δ-methodBeals R, Coifman R. Linear spectral problems, non-linear equations and the δ-method. Inverse Problems 1989, 5: 87. DOI: 10.1088/0266-5611/5/2/002.
Multiresolution analysis in non-homogeneous mediaCoifman R. Multiresolution analysis in non-homogeneous media. 1989, 107. DOI: 10.1109/mdsp.1989.97059.
θ-Calderón-zygmund operatorsCoifman R, David G, Meyer Y, Semmes S. θ-Calderón-zygmund operators. 1989, 1384: 132-145. DOI: 10.1007/bfb0086798.
Multiresolution Analysis in Non-Homogeneous MediaCoifman R. Multiresolution Analysis in Non-Homogeneous Media. 1989, 259-262. DOI: 10.1007/978-3-642-97177-8_25.
Uniform analyticity of orthogonal projectionsCoifman R, Murray M. Uniform analyticity of orthogonal projections. Transactions Of The American Mathematical Society 1989, 312: 779-817. DOI: 10.1090/s0002-9947-1989-0951882-6.
Two elementary proofs of the L 2 L^ 2 boundedness of Cauchy integrals on Lipschitz curvesCoifman R, Jones P, Semmes S. Two elementary proofs of the L 2 L^ 2 boundedness of Cauchy integrals on Lipschitz curves. Journal Of The American Mathematical Society 1989, 2: 553-564. DOI: 10.1090/s0894-0347-1989-0986825-6.
COMMUTATORS ON THE POTENTIAL-THEORETIC ENERGY SPACESCOIFMAN R, MURAI T. COMMUTATORS ON THE POTENTIAL-THEORETIC ENERGY SPACES. Tohoku Mathematical Journal 1988, 40: 397-407. DOI: 10.2748/tmj/1178227981.
NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E.Coifman R, Meyer Y. NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. 1987, 1-46. DOI: 10.1515/9781400882090-002.
Scattering and inverse scattering for first-order systems: IIBeals R, Coifman R. Scattering and inverse scattering for first-order systems: II. Inverse Problems 1987, 3: 577. DOI: 10.1088/0266-5611/3/4/009.
The D-bar approach to inverse scattering and nonlinear evolutionsBeals R, Coifman R. The D-bar approach to inverse scattering and nonlinear evolutions. Physica D Nonlinear Phenomena 1986, 18: 242-249. DOI: 10.1016/0167-2789(86)90184-3.
Some new function spaces and their applications to Harmonic analysisCoifman R, Meyer Y, Stein E. Some new function spaces and their applications to Harmonic analysis. Journal Of Functional Analysis 1985, 62: 304-335. DOI: 10.1016/0022-1236(85)90007-2.
Nonlinear harmonic analysis and analytic dependenceCoifman R, Meyer Y. Nonlinear harmonic analysis and analytic dependence. 1985, 43: 71-78. DOI: 10.1090/pspum/043/812284.
Multidimensional inverse scatterings and nonlinear partial differential equationsBeals R, Coifman R. Multidimensional inverse scatterings and nonlinear partial differential equations. 1985, 43: 45-70. DOI: 10.1090/pspum/043/812283.
Inverse scattering and evolution equationsBeals R, Coifman R. Inverse scattering and evolution equations. Communications On Pure And Applied Mathematics 1985, 38: 29-42. DOI: 10.1002/cpa.3160380103.
2.8. The Cauchy integral and related integral operatorsCoifman R, Meyer Y. 2.8. The Cauchy integral and related integral operators. Journal Of Mathematical Sciences 1984, 26: 2247-2248. DOI: 10.1007/bf01221557.
Singular integrals, BMO, HpCoifman R, Meyer Y, Tumarkin G, Muckenhoupt B, Jones P, Kisliakov S, Verbitsky I, Krupnik N, Semmes S, Rochberg R, Garnett J, Baernstein A, Sarason D, Anderson J, Chang S, Chang S, Ahern P, Jones P, Aleksandrov A, Havin V, Hasumi M, Casazza P. Singular integrals, BMO, Hp. 1984, 1043: 308-352. DOI: 10.1007/bfb0072189.
Scattering and inverse scattering for first order systemsBeals R, Coifman R. Scattering and inverse scattering for first order systems. Communications On Pure And Applied Mathematics 1984, 37: 39-90. DOI: 10.1002/cpa.3160370105.
La solution des conjectures de CalderónCoifman R, David G, Meyer Y. La solution des conjectures de Calderón. Advances In Mathematics 1983, 48: 144-148. DOI: 10.1016/0001-8708(83)90084-1.
Constructive Decomposition of BMO Functions and Factorization of A p WeightsCoifman R, Jones P, de Francia J. Constructive Decomposition of BMO Functions and Factorization of A p Weights. Proceedings Of The American Mathematical Society 1983, 87: 675. DOI: 10.2307/2043357.
Domaine de la racine carrée de certains opérateurs différentiels accrétifsCoifman R, Deng D, Meyer Y. Domaine de la racine carrée de certains opérateurs différentiels accrétifs. Annales De L’institut Fourier 1983, 33: 123-134. DOI: 10.5802/aif.919.
Constructive decomposition of BMO functions and factorization of A p A_{p} weightsCoifman R, Jones P, de Francia J. Constructive decomposition of BMO functions and factorization of A p A_{p} weights. Proceedings Of The American Mathematical Society 1983, 87: 675-676. DOI: 10.1090/s0002-9939-1983-0687639-3.
Un nouveal espace fonctionnel adapte a l'etude des operateurs definis par des integrales singulieresCoifman R, Meyer Y, Stein E. Un nouveal espace fonctionnel adapte a l'etude des operateurs definis par des integrales singulieres. 1983, 992: 1-15. DOI: 10.1007/bfb0069149.
Projections in weighted spaces, skew projections and inversion of Toeplitz operatorsCoifman R, Rochberg R. Projections in weighted spaces, skew projections and inversion of Toeplitz operators. Integral Equations And Operator Theory 1982, 5: 145-159. DOI: 10.1007/bf01694036.
L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes LipschitziennesCoifman R, McIntosh A, Meyer Y. L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes Lipschitziennes. Annals Of Mathematics 1982, 116: 361. DOI: 10.2307/2007065.
A theory of complex interpolation for families of Banach spacesCoifman R, Cwikel M, Rochberg R, Sagher Y, Weiss G. A theory of complex interpolation for families of Banach spaces. Advances In Mathematics 1982, 43: 203-229. DOI: 10.1016/0001-8708(82)90034-2.
Analyse harmonique non linéaireCoifman R, Meyer Y. Analyse harmonique non linéaire. Journées Équations Aux Dérivées Partielles 1982, 1-7. DOI: 10.5802/jedp.250.
Estimations L 2 pour les noyaux singuliersCoifman R, McIntosch A, Meyer Y. Estimations L 2 pour les noyaux singuliers. Journées Équations Aux Dérivées Partielles 1981, 1-7. DOI: 10.5802/jedp.241.
Scattering, scattering inverse et équations d'évolutions non linéairesBeals R, Coifman R. Scattering, scattering inverse et équations d'évolutions non linéaires. Journées Équations Aux Dérivées Partielles 1981, 1-6. DOI: 10.5802/jedp.239.
Another characterization of BMOCoifman R, Rochberg R. Another characterization of BMO. Proceedings Of The American Mathematical Society 1980, 79: 249-254. DOI: 10.1090/s0002-9939-1980-0565349-8.
The complex method for interpolation of operators acting on families of Banach spacesCoifman R, Rochberg R, Weiss G, Cwikel M, Sagher Y. The complex method for interpolation of operators acting on families of Banach spaces. 1980, 779: 123-153. DOI: 10.1007/bfb0087670.
Fourier analysis of multilinear convolutions, Calderón's theorem, and analysis on Lipschitz curvesCoifman R, Meyer Y. Fourier analysis of multilinear convolutions, Calderón's theorem, and analysis on Lipschitz curves. 1980, 779: 104-122. DOI: 10.1007/bfb0087669.
Representation theorems for holomorphic and harmonic functionsCoifman R, Rochberg R. Representation theorems for holomorphic and harmonic functions. 1979, 35.1: 459-460. DOI: 10.1090/pspum/035.1/545288.
Singular integral characterizations of nonisotropic 𝐻^{𝑝} spaces and the F. and M. Riesz theoremCoifman R, Dahlberg B. Singular integral characterizations of nonisotropic 𝐻^{𝑝} spaces and the F. and M. Riesz theorem. 1979, 35.1: 231-234. DOI: 10.1090/pspum/035.1/545260.
On operators of harmonic analysis which are not convolutionsCoifman R. On operators of harmonic analysis which are not convolutions. 1979, 35.1: 21-28. DOI: 10.1090/pspum/035.1/545236.
Complex interpolation for families of Banach spacesCoifman R, Cwikel M, Rochberg R, Sagher Y, Weiss G. Complex interpolation for families of Banach spaces. 1979, 35.2: 269-282. DOI: 10.1090/pspum/035.2/545314.
Book Review: Littlewood-Paley and multiplier theoryCoifman R, Weiss G. Book Review: Littlewood-Paley and multiplier theory. Bulletin Of The American Mathematical Society 1978, 84: 242-250. DOI: 10.1090/s0002-9904-1978-14464-4.
Pointwise estimates for commutator singular integralsBaishanski B, Coifman R. Pointwise estimates for commutator singular integrals. Studia Mathematica 1978, 62: 1-15. DOI: 10.4064/sm-62-1-1-15.
Commutateurs d'intégrales singulières et opérateurs multilinéairesCoifman R, Meyer Y. Commutateurs d'intégrales singulières et opérateurs multilinéaires. Annales De L’institut Fourier 1978, 28: 177-202. DOI: 10.5802/aif.708.
Applications of Transference: The Lp Version of von Neumann’s Inequality and the Littlewood-Paley-Stein TheoryCoifman R, Rochberg R, Weiss G. Applications of Transference: The Lp Version of von Neumann’s Inequality and the Littlewood-Paley-Stein Theory. 1978, 53-67. DOI: 10.1007/978-3-0348-7180-8_8.
Transference Methods in AnalysisCoifman R, Weiss G. Transference Methods in Analysis. 1977, 31 DOI: 10.1090/cbms/031.
Factorization theorems for Hardy spaces of complex spheresCoifman R, Rochberg R, Weiss G. Factorization theorems for Hardy spaces of complex spheres. 1977, 30.1: 119-121. DOI: 10.1090/pspum/030.1/9899.
Extensions of Hardy spaces and their use in analysisCoifman R, Weiss G. Extensions of Hardy spaces and their use in analysis. Bulletin Of The American Mathematical Society 1977, 83: 569-645. DOI: 10.1090/s0002-9904-1977-14325-5.
Factorization Theorems for Hardy Spaces in Several VariablesCoifman R, Rochberg R, Weiss G. Factorization Theorems for Hardy Spaces in Several Variables. Annals Of Mathematics 1976, 103: 611. DOI: 10.2307/1970954.
On commutators of singular integrals and bilinear singular integralsCoifman R, Meyer Y. On commutators of singular integrals and bilinear singular integrals. Transactions Of The American Mathematical Society 1975, 212: 315-331. DOI: 10.1090/s0002-9947-1975-0380244-8.
Characterization of Fourier Transforms of Hardy SpacesCoifman R. Characterization of Fourier Transforms of Hardy Spaces. Proceedings Of The National Academy Of Sciences Of The United States Of America 1974, 71: 4133-4134. PMID: 16592189, PMCID: PMC434343, DOI: 10.1073/pnas.71.10.4133.
A real variable characterization of $H^{p}$Coifman R. A real variable characterization of $H^{p}$. Studia Mathematica 1974, 51: 269-274. DOI: 10.4064/sm-51-3-269-274.
Weighted norm inequalities for maximal functions and singular integralsCoifman R, Fefferman C. Weighted norm inequalities for maximal functions and singular integrals. Studia Mathematica 1974, 51: 241-250. DOI: 10.4064/sm-51-3-241-250.
Central multiplier theorems for compact Lie groupsCoifman R, Weiss G. Central multiplier theorems for compact Lie groups. Bulletin Of The American Mathematical Society 1974, 80: 124-126. DOI: 10.1090/s0002-9904-1974-13384-7.
Maximal Functions and Hp Spaces Defined by Ergodic TransformationsCoifman R, Weiss G. Maximal Functions and Hp Spaces Defined by Ergodic Transformations. Proceedings Of The National Academy Of Sciences Of The United States Of America 1973, 70: 1761-1763. PMID: 16592093, PMCID: PMC433590, DOI: 10.1073/pnas.70.6.1761.
Operators associated with representations of amenable groups singular integrals induced by ergodic flows, the rotation method and multipliersCoifman R, Weiss G. Operators associated with representations of amenable groups singular integrals induced by ergodic flows, the rotation method and multipliers. Studia Mathematica 1973, 47: 285-303. DOI: 10.4064/sm-47-3-285-303.
Operators transferred by representations of an amenable groupCoifman R, Weiss G. Operators transferred by representations of an amenable group. 1973, 26: 369-372. DOI: 10.1090/pspum/026/0340967.
Invariant systems of conjugate harmonic functions associated with compact Lie groupsCoifman R, Weiss G. Invariant systems of conjugate harmonic functions associated with compact Lie groups. Studia Mathematica 1972, 44: 301-308. DOI: 10.4064/sm-44-4-301-308.
Analyse Harmonique Non-Commutative sur Certains Espaces Homogenes, Etude de Certaines Intégrales SingulièresCoifman R, Weiss G. Analyse Harmonique Non-Commutative sur Certains Espaces Homogenes, Etude de Certaines Intégrales Singulières. 1971, 242 DOI: 10.1007/bfb0058946.
On subharmonicity inequalities involving solutions of generalized Cauchy-Riemann equationsCoifman R, Weiss G. On subharmonicity inequalities involving solutions of generalized Cauchy-Riemann equations. Studia Mathematica 1970, 36: 77-83. DOI: 10.4064/sm-36-1-77-83.
Remarks on weak type inequalities for operators commuting with translationsCoifman R. Remarks on weak type inequalities for operators commuting with translations. Bulletin Of The American Mathematical Society 1968, 74: 710-714. DOI: 10.1090/s0002-9904-1968-12007-5.
On singular integralsBajšanski B, Coifman R. On singular integrals. 1967, 10: 1-17. DOI: 10.1090/pspum/010/0238129.
A kernel associated with certain multiply connected domains and its applications to factorization theoremsCoifman R, Weiss G. A kernel associated with certain multiply connected domains and its applications to factorization theorems. Studia Mathematica 1966, 28: 31-68. DOI: 10.4064/sm-28-1-31-68.

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