个人简介
教育背景
TexasA&MUniversity,Mathematics,Ph.D.|2007.9-2012.8
四川大学,数学系,学士|2003.8-2007.6
工作经历
中国科学院数学与系统科学研究院,副研究员|2017.9-至今
UniversityofChicaago,DepartmentofStatistics,Postdoctoralscholar|2015.9-2017.8
UniversityofChicaago,DepartmentofMathematics,L.E.DicksonInstructor|2012.9-2015.8
研究领域
ResearchInterests:ComputationalMathematics,Optimization,appliedalgebraicgeometry
项目
2019-2022,国家自然科学基金青年项目-11801548,26万元(负责人)
2018-2023,国家重点研发计划-2018YFA0306702,1000万元(成员)
近期论文
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期刊论文
P.Comom,L.H.Lim,Y.QiandK.Ye,''Topologyoftensorranks",AdvancesinMathematics,2020,toappear.(doi)
L.H.Lim,S.W.WongandK.Ye,''TheGrassmannianofaffinesubspaces",FoundationsofComputationalMathematics,2020,toappear.(arXiv)
J.W.NieandK.Ye,"Hankeltensordecompositionsandranks",SIAMJournalonMatrixAnalysisandApplications,2019,40(2),pp.486–516.(doi)
L.H.Lim,S.W.WongandK.Ye,''NumericalalgorithmsontheaffineGrassmannian",SIAMJournalonMatrixAnalysisandApplications,2019,40(2),pp.371-393.(doi)
L.H.Lim,R.SepulchreandK.Ye,"Geometricdistancebetweenpositivedefinitematricesofdifferentdimensions",IEEETransactionsonInformationTheory,2019,65(9),pp.5401-5405.(doi)
K.YeandL.H.Lim,''Faststructuredmatrixcomputations:tensorrankandCohn-Umansmethod",FoundationsofComputationalMathematics,2018,18(1),pp.45-95.(doi)
K.YeandS.L.Hu,''Inversetensoreigenvalueproblem",CommunicationsinMathematicalSciences,2017,15(6),pp.1627-1649.(doi)
K.Ye,''Newclassesofmatrixdecompositions",LinearAlgebraanditsApplications,2017,514,pp.47-81.(doi)
K.YeandL.H.Lim,"CohomologyofCryo-ElectronMicroscopy",SIAMJournalonAppliedGeometryandAlgebra,2017,1(1),pp.507-535.(doi)
K.YeandL.H.Lim,''Schubertvarietiesanddistancesbetweenlinearspacesofdifferentdimensions",SIAMJournalonMatrixAnalysisandApplications,2016,37(3),pp.1176-1197.(doi)
S.L.HuandK.Ye,''Multiplicitiesofeigenvaluesoftensors",CommunicationsinMathematicalSciences,2016,14(4),pp.1049-1071.(doi)
K.YeandL.H.Lim,''EverymatrixisaproductofToeplitzmatrices",FoundationsofComputationalMathematics,2016,16(3),pp.577-598.(doi)
J.M.Landsberg,Y.QiandK.Ye,''Onthegeometryoftensornetworkstates",QuantumInformationandComputation,2012,12(3-4),pp.346-354.(doi)
K.Ye,"Thestabilizerofimmanants",LinearAlgebraanditsApplications,2011,435(5),pp.1085-1098.(doi)
会议论文
Y.Qi,P.Comon,L.H.Lim,andK.Ye,"Pathconnectednessoftensorranks",27thEuropeanSignalProcessingConference(EUSIPCO2019),pp.1-5.(doi)
K.YeandL.H.Lim,"Algorithmsforstructuredmatrix-vectorproductofoptimalbilinearcomplexity",2016IEEEInformationTheoryWorkshop(ITW),pp.310-314.(doi)
预印本
J.W.Nie,K.YeandL.H.Zhi,"Tensordecompositionsonalgebraicvarieties",2020,submitted.(arXiv)
S.L.HuandK.Ye,"Linearconvergenceofanalternatingpolardecompositionmethodforlowrankorthogonaltensorapproximations",2020,submitted.(ariXiv)
K.Ye,M.NiuandP.Cheung,"HeatkernelandintrinsicGaussianprocessesonmanifolds",2019,submitted.
K.Ye,S.W.WongandL.H.Lim,"Optimizationonflagmanifolds",2019,submitted.(arXiv)
K.YeandL.H.Lim,"Tensornetworkranks",2018,submitted.(arXiv)
T.R.Gao,L.H.LimandK.Ye,"Semi-Riemannianmanifoldoptimization",2018,inprogress.(arXiv)
K.YeandL.H.Lim,"Thedimensionoftensornetworkstates",2017,inprogress.