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个人简介

学历 -- 研究生 学位 -- 博士 现指导学生 宫达 硕士研究生 070102-计算数学

研究领域

计算调和分析; 逼近论; 压缩感知; 样条函数

近期论文

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66.Performanceboundoftheintensity-basedmodelfornoisyphaseretrieval,withMengHuang. 65.Therecoveryofcomplexsparsesignalsfromfewphaselessmeasurements,withXiaYu. 64.AlmostEverywhereGeneralizedPhaseRetrieval,withMengHuang,YiRongandYangWang. 63.Theminimizersofthe$p$-framepotential,withZiliXu. 62.SubsetSelectionforMatriceswithFixedBlocks,withJiaxinXie. 61.Solvingaperturbedamplitude-basedmodelforphaseretrieval,withB.Gao,YangWang. 60.Theestimationperformanceofnonlinearleastsquaresforphaseretrieval,withM.Huang,toappearinIEEETransactionsonInformationTheory 59.ONDCBASEDMETHODSFORPHASERETRIEVAL,withMengHuang,Ming-junLaiandAbrahamVarghese,ApproximationTheoryXVI,Nashville,2019 58.ImprovedboundsfortheRIPofSubsampledCirculantmatrices,withMengHuang,YuxuanPang,SamplingTheoryinSignalandImageProcessing,(2019),1–8. 57.SolvingSystemsofQuadraticEquationsviaExponential-typeGradientDescentAlgorithm,withMengHuang,JournalofComputationalMathematics,2019. 56.Phaseretrievalfromthenormsofaffinetransformations,withMengHuang. 55.J.-F.Cai,Y.Rong,Y.Wang,andZ.Xu,DataRecoveryonaManifoldfromLinearSamples:TheoryandComputation,AnnalsofMathematicalSciencesandApplicationsVolume3(2018)Number1,pp.337-365 54.Almosteverywhereinjectivityconditionsforthematrixrecoveryproblem,withYiRong,YangWang,toappearinAppliedandComputationalHarmonicAnalysis 53.Ongeneralizationsofp-setsandtheirapplications,withHengZhou,NumericalMathematics:Theory,MethodsandApplications,12(2019),pp.453-466.. 52.Theminimalmeasurementnumberprobleminphaseretrieval:areviewofrecentdevelopments,JournalofMathematicalResearchwithApplications,Jan,2017,Vol37,No.1,pp.40-46. 51.Phaseretrievalbyhyperplanes,withSaraBotelho-Andrade,PeterG.Casazza,DesaiCheng,JohnHaas,TinT.Tran,JanetC.Tremain ContemporaryMathematicsVolume"FramesandHarmonicAnalysis",2017 50.Agradient-enhancedL1approachfortherecoveryofsparsetrigonometricpolynomials,withTaoZhou.Commun.Comput.Phys.Vol.24,No.1,pp.286-308,July2018 49.ImprovementofthelowerboundofthePCMquantizationerrorforvectorsinR^2,withHengZhou,Journalofapproximationtheory.Vol.215,2017,1-12. 48.PhaseRetrievalFromtheMagnitudesofAffineLinearMeasurementswithBingGao,QiyuSunandYangWang,AdvanceinAppliedMathematics,93(2018),121–141. 47.PhaselessrecoveryusingtheGauss-NewtonmethodwithB.Gao,IEEETrans.SignalProcessing.VOL.65,NO.22,NOVEMBER15,2017 46.Generalizedphaseretrieval:measurementnumber,matrixrecoveryandbeyondwithYangWang.AppliedandComputationalHarmonicAnalysis,2019,No.2,423-446 45.Theminimalmeasurementnumberforlow-rankmatricesrecovery,Appl.Comp.Harm.Anal.,2018 44.StableSignalRecoveryfromPhaselessMeasurementswithBingGao,YangWang.JFourierAnalAppl(2016)22:787. 43.RobustnessPropertiesofDimensionalityReductionwithGaussianRandomMatrices,withBinHan,SCIENCECHINAMathematics,2017,60:1753-1778,doi:10.1007/s11425-016-9018-x. 42.Astrongrestrictedisometryproperty,withanapplicationtophaselesscompressedsensing,withV.Voroninski,AppliedComputationalHarmonicAnalysis,Volume40,Issue2,March2016,Pages386–395. 41.One-BitCompressedSensingbyGreedyAlgorithms,withWenhuiLiu,D.Gong,NumericalMathematics:Theory,MethodsandApplications,Vol.9,No.2,pp.169-184,2016. 40.CompressedSensingMatricesfromFourierMatrices,withG.Xu,IEEETransactionsonInformationTheory,61(2015),469-478. 39.ThelowerboundofthePCMquantizationerrorinhighdimension,withH.Zhou,AppliedComputationalHarmonicAnalysis,2015 38.Theperformanceoforthogonalmulti-matchingpursuitunderRIP,J.Comp.Math33(2015),495-516. 37.Multivariatediscreteleast-squaresapproximationswithanewtypeofcollocationgrid,withT.Zhou,A.Narayan,SIAMJ.Sci.Comput.,36(5),A2401–A2422.,2014. 36.Onsparseinterpolationandthedesignofdeterministicinterpolationpoints,withT.Zhou,SIAMJSci.Comp.,Vol.36,1752-1769,2014. 35.PhaseRetrievalforSparseSignals,withYangWang,AppliedComputationalHarmonicAnalysis,Vol37,531-544,2014. 34.Onthe$\ell_1$-NormInvariantConvexk-SparseDecompositionofSignals,withG.Xu,JournaloftheOperationsResearchSocietyofChina,December2013,Volume1,Issue4,pp537-541 33.OnB-splineframeletsderivedfromtheunitaryextensionprinciple,withZuoweiShen,SIAMJournalonMathematicalAnalysis,45(11)2013,127-151. 32.Theregularityofrefinablefunctions,withYangWang,AppliedComputationalHarmonicAnalysis,Volume34,Issue1,Pages1-162,January2013 31.Compressedsensing,AsurveyinChinese,SciSinMath,2012,42(9). 30.ThePerformanceofPCMQuantizationUnderTightFrameRepresentations,withYangWang,SIAMJ.MATH.ANAL,Vol.44,No.4,pp.2802–2823,2012. 29.Aremarkaboutorthogonalmatchingpursuitalgorithm,AdvancesAdaptiveDataAnalysis,2012. 28.Hierarchicalzonotopalspaces,withO.HoltzandA.Ron,Trans.Amer.Math.Soc.,Volume364,Number2,2012. 27.DeterministicSamplingofSparseTrigonometricPolynomials,JournalofComplexity,Volume27,Issue2,April2011,Pages133-140. 26.Multivariatesplinesandpolytopes,JournalofApproximationTheory,Vol.163,Issue3,March2011.. 25.Adaptivenon-uniformB-splinedictionariesonacompactinterval,WithLauraRebollo-Neira,SignalProcessing,Volume90,Issue7,July2010,Pages2308-2313. 24.Subspacemodellingforstructurednoisesuppression,withLauraRebollo-Neira,A.Plastino,PhysicaA:StatisticalMechanicsanditsApplications,Volume389,Issue10,15May2010,Pages2030-2035. 23.SagbibasesofCox-Nagatarings,withBerndSturmfels,JournaloftheEuropeanMathematicalSociety,Volume12,Issue2,2010. 22.Euleriannumbers:asplineinterpretation,WithR.Wang,Y.Xu,JournalofMathematicalAnalysisandApplications,370(2010)486–490. 21.Refinementequationsandsplinefunctions,withA.Dubickas,Adv.Comp.Math.32:1-23,2010. 20.MarginalLikelihoodIntegralsforMixturesofIndependenceModels,withShaoweiLinandBerndSturmfels,JournalofMachineLearningResearch,10(Jul):1611--1631,2009. 19.MultivariateF-splinesandfractionalboxsplines,JournalofFourierAnalysisandApplications,15:723-738,2009. 18.DiscreteSchemesforGaussianCurvatureandTheirConvergence,withGuoliangXu,ComputersandMathematicswithApplications,2009. 17.Applicationofmultivariatesplinestodiscretemathematics,preprint. 16.Anexplicitformulationfortwodimensionalvectorpartitionfunctions,ContemporaryMath:Integerpointsinpolyhedra--Geometry,NumberTheory,RepresentationTheory,Algebra,Optimization,Statistics,2008PDF 15.Letmetellyoumyfavoritelattice-pointproblem,withMATTHIASBECK,BENJAMINNILL,BRUCEREZNICK,CARLASAVAGEandIVANSOPRUNOV,ContemporaryMath:Integerpointsinpolyhedra--Geometry,NumberTheory,RepresentationTheory,Algebra,Optimization,Statistics,2008. 14.Analyticandalgebraicpropertiesofcanalsurfaces,JournalofComputationalandAppliedMathematics.195(2006)(WithJiaguangSun,etc).PDF 13.Multi-dimensionalversionsofaformulaofPopoviciu,ScienceinChinaSeriesA.,2006,PDF 12.Arobustalgorithmforfindingtherealintersectionofthreequadricsurfaces,ComputerAidedGeometricDesign,Vol22,Issue6,1(2005),515-530..(WithXiaoshenWang,etc.)PDF 11.Convergenceanalysisofdiscretedifferentialgeometryoperatorsoversurfaces,LectureNotesinComputerScience,MathematicsofSurfacesXI,2005.PDF 10.TheStructuralCharacterizationandLocallySupportedBasesforBivariateSuperSplines,withRen-hongWang,JournalofComputationalMathematics.6(2004).PS 9.TheEstimationoftheBezoutNumberofPiecewiseAlgebraicCurve,withRen-hongWang,ScienceinChinaSeriesA,2003Vol.46No.5,710-717.PDF 8.DiscreteTruncatedPowerAndLatticePointsInRationalPolytope,withRen-HongWang,JournalofComputationalandAppliedMathematics159(2003)149-159.PDF 7.Onthedimensionformultivariateweaksplinefunctionspaces,withRen-hongWang,Journalofmathematicalresearch&ExpositionVol.22,No.1,7-12,February,2002. 6.Theinstabilitydegreeinthedimensionofspacesofbivariatespline,withRen-hongWang,Approx.Theory&itsAppl.,18:1,2002,68-80.PS 5.Multivariateweaksplinefunctionspace,withRen-hongWang,JournalofComputationalandAppliedMathematics,Vol.144,No.1-2,2002. 4.Somepropertiesaboutcrossingcutpartition,withRen-hongWang,NumericalMathematicsAjournalofChineseUniversities,2001,No.4. 3.Reasonablelayoutofpollutionsourcesinnearshorewaters,withLiuShu-Zhen,FengEn-min,LiuHeng-kui,ActaOceanologicSinica,2000,No.2. 2.Applicationofuniformdesigntocomputerexperiments,withWai-ManHo,JournaloftheChineseStatisticalAssociation,2000,No.4. 1.Numericalsimulationoftidalmotionandparameteridentification,withLiuShu-ZhenFengEn-min,J.DalianUni.Tech.,1999,No.3.

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