2021
VERTIcal Grid lOgistic regression with Confidence Intervals (VERTIGO-CI).
Kim J, Li W, Bath T, Jiang X, Ohno-Machado L. VERTIcal Grid lOgistic regression with Confidence Intervals (VERTIGO-CI). AMIA Joint Summits On Translational Science Proceedings 2021, 2021: 355-364. PMID: 34457150, PMCID: PMC8378611.Peer-Reviewed Original ResearchConceptsDual spaceCovariance matrixVariance estimationSpace modelTest statisticKernel matrixLinear modelReal dataTolerable performanceNovel extensionDual-space modelPoint estimatesEquivalent accuracyCentralized versionStatisticsRegression modelsModelMatrixExtensionDual objectivesCentralized settingFederated LearningEstimationPrivacy-preserving mannerSpace
2020
Mixed-effects models for the design and analysis of stepped wedge cluster randomized trials: An overview
Li F, Hughes JP, Hemming K, Taljaard M, Melnick ER, Heagerty PJ. Mixed-effects models for the design and analysis of stepped wedge cluster randomized trials: An overview. Statistical Methods In Medical Research 2020, 30: 612-639. PMID: 32631142, PMCID: PMC7785651, DOI: 10.1177/0962280220932962.Peer-Reviewed Original Research
2016
PRINCESS: Privacy-protecting Rare disease International Network Collaboration via Encryption through Software guard extensionS
Chen F, Wang S, Jiang X, Ding S, Lu Y, Kim J, Sahinalp S, Shimizu C, Burns J, Wright V, Png E, Hibberd M, Lloyd D, Yang H, Telenti A, Bloss C, Fox D, Lauter K, Ohno-Machado L. PRINCESS: Privacy-protecting Rare disease International Network Collaboration via Encryption through Software guard extensionS. Bioinformatics 2016, 33: 871-878. PMID: 28065902, PMCID: PMC5860394, DOI: 10.1093/bioinformatics/btw758.Peer-Reviewed Original ResearchConceptsSoftware Guard ExtensionsHomomorphic encryptionDistributed ComputationCollaboration frameworkTrustworthy computationCollaboration modelSupplementary dataNetwork collaborationEncryptionExperimental resultsHealth informationAlternative solutionComputationInternational collaboration frameworkHardwareAccurate analysisPerformanceBioinformaticsImplementationFrameworkDataExtensionInformationCollaboration
2013
Multiscale data sampling and function extension
Bermanis 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.Peer-Reviewed Original ResearchSequence of approximationsGaussian kernel matrixData pointsAdaptive gridSpecial decompositionMultiscale schemeKernel matrixMultiscale decompositionGaussian kernelInterpolation methodMutual distanceData samplingFine hierarchyExtension methodEmpirical functionHierarchical procedureFunction extensionApproximationExtensionDecompositionPointKernelSchemeSubsamplingGrid
2011
The Yale cTAKES extensions for document classification: architecture and application
Garla V, Re V, Dorey-Stein Z, Kidwai F, Scotch M, Womack J, Justice A, Brandt C. The Yale cTAKES extensions for document classification: architecture and application. Journal Of The American Medical Informatics Association 2011, 18: 614-620. PMID: 21622934, PMCID: PMC3168305, DOI: 10.1136/amiajnl-2011-000093.Peer-Reviewed Original ResearchConceptsDocument classificationFeature extractionProcessing systemKnowledge Extraction SystemDocument classification systemClinical Text AnalysisDocument classifierFeature representationRadiology reportsOpen sourceClinical textText analysisTechnical challengesClassificationExtraction systemClassification systemRepresentationClassifierSemanticsSystemArchitectureRetrievalExtractionSyntaxExtension
2006
Geometric harmonics: A novel tool for multiscale out-of-sample extension of empirical functions
Coifman 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.Peer-Reviewed Original ResearchEntire space RnProlate spheroidal wave functionsLaplace-Beltrami operatorSpheroidal wave functionsFunction fSubmanifold of RnNyström methodSpace RnFourier modesSample extensionGeometric harmonicsEmpirical functionWave functionsSimple schemeExtension schemeLarge domainsSpecific familySchemeRnIntrinsic frequency spectrumExtensionFrequency spectrumSubmanifoldsEigenfunctionsSlepian
2005
A skewed Kalman filter
Naveau P, Genton M, Shen X. A skewed Kalman filter. Journal Of Multivariate Analysis 2005, 94: 382-400. DOI: 10.1016/j.jmva.2004.06.002.Peer-Reviewed Original ResearchState-space modelKalman filterKalman filtering operationSkew-normal distributionMultivariate normal distributionKalman filter operationAssumption of normalityMultivariate caseComputational advantagesNormal distributionFiltering operationFilter operationSkewnessFilterExtensionLarge varietyModelApplicabilityDistributionNormalityWide rangeAssumption
2002
Applying Hidden Markov Models to the Analysis of Single Ion Channel Activity
Venkataramanan L, Sigworth F. Applying Hidden Markov Models to the Analysis of Single Ion Channel Activity. Biophysical Journal 2002, 82: 1930-1942. PMID: 11916851, PMCID: PMC1301989, DOI: 10.1016/s0006-3495(02)75542-2.Peer-Reviewed Original ResearchConceptsCorrelated background noiseHidden Markov ModelDigital inverse filterMarkov model parametersDiscrete timeBaum-Welch algorithmMarkov modelComputational intensityDeterministic interferenceModel parametersInverse filterMultiple data setsAlgorithmPrevious resultsPractical applicationsNoise ratioState transitionsSharp frequencyData setsChannel dataSingle ion channel currentsNoiseExtensionRandomnessBackground noise
1997
Distribution functions for clusters of galaxies from N-body simulations
Natarajan P, Hjorth J, van Kampen E. Distribution functions for clusters of galaxies from N-body simulations. Monthly Notices Of The Royal Astronomical Society 1997, 286: 329-343. DOI: 10.1093/mnras/286.2.329.Peer-Reviewed Original ResearchCosmological N-body simulationsClusters of galaxiesN-body simulationsAccessible phase spaceDistribution function formalismAnisotropic distribution functionsLarge-scale structureGalaxy clustersStellar dynamicsVirialized regionsFunction formalismMotivated extensionPhase spaceDistribution functionGalaxiesFormalismClustersSpaceDynamicsSimulationsExtension
1994
Selection of best bases for classification and regression
Coifman R, Saito N. Selection of best bases for classification and regression. 1994, 51. DOI: 10.1109/wits.1994.513882.Peer-Reviewed Original Research
1985
Some new function spaces and their applications to Harmonic analysis
Coifman 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.Peer-Reviewed Original ResearchTent spacesHarmonic analysisHardy spacesFamily of spacesNew function spaceLipschitz curvesFunction spacesAtomic decompositionCauchy integralCarleson inequalitySquare functionMaximal functionSpaceTheoryBasic techniquesInequalitySimplificationIntegralsCorollaryMultilinear analysisApplicationsFunctionExtensionUnification
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