TensorProgramsIV:FeatureLearninginInfinite-WidthNeuralNetworksGregYang1EdwardJ.Hu23AbstractFigure1.PCAofWord2VecembeddingsoftopUScitiesandstates,forNTK,width-64,andwidth-∞featurelearningnetworksAs...
TensorProgramsIIb:ArchitecturalUniversalityofNeuralTangentKernelTrainingDynamicsGregYang1EtaiLittwin2AbstractIn(Yang,2020a),theNTKINITpropertywasproventoholdforstandardarchitectures,meaninganycompo...
StreamingBayesianDeepTensorFactorizationShikaiFang1ZhengWang1ZhimengPan1JiLiu23ShandianZhe1Abstractbeabletoestimateallkindsofcomplicated(e.g.,highlynonlinear)mappings.Themostrecentwork(Liuetal.,Des...
Solvinghigh-dimensionalparabolicPDEsusingtheTensortrainformatLorenzRichter123LeonSallandt4NikolasNu¨sken5AbstractonstochasticrepresentationsofthePDEsunderconsidera-tion(Eetal.,2017;Raissietal.,201...
SG-PALM:aFastPhysicallyInterpretableTensorGraphicalModelYuWang1AlfredHero1Abstractsizeisoneifweaimtoestimatethedependencystructureacrossdifferentsensors,timeandexperimentalconditionsWeproposeanewgr...
ImplicitRegularizationinTensorFactorizationNoamRazin1AsafMaman1NadavCohen1Abstracttofittingbypredictorsoflowercomplexity.Amajorchal-lengeinformalizingthisintuitionisthatwelackdefinitionsRecenteffor...
ASampling-BasedMethodforTensorRingDecompositionOsmanAsifMalik1StephenBecker1Abstractthateachhavestrengthsandweaknesses(Kolda&Bader,2009).ThenumberofparametersintheCPdecompositionWeproposeasampling-...
UncertaintyquantificationfornonconvexTensorcompletion:Confidenceintervals,heteroscedasticityandoptimalityChangxiaoCai1H.VincentPoor1YuxinChen1AbstractinformationabouttheunknownTensorplaysapivotalro...
TensordenoisingandcompletionbasedonordinalobservationsChanwooLee1MiaoyanWang1AbstractTensor,therebyefficientlyreducingtheintrinsicdimensioninbothproblems.Higher-orderTensorsarisefrequentlyinapplica...
StreamingCoresetsforSymmetricTensorFactorizationRachitChhaya1JayeshChoudhari1AnirbanDasgupta1SupratimShit1Abstractmatrixforthe2normif,∀x∈Rd,FactorizingTensorshasrecentlybecomeanimpor-(a˜Tjx)2−(...
PolynomialTensorSketchforElement-wiseFunctionofLow-RankMatrixInsuHan1HaimAvron2JinwooShin31Abstractside,weobtainao(n2)-timeapproximationschemeoff(A)x≈TUTVxforanarbitraryvectorx∈RndueThispaperstud...
MultiresolutionTensorLearningforEfficientandInterpretableSpatialAnalysisJungYeonPark1KennethTheoCarr1StephanZheng2YisongYue3RoseYu14AbstractWeareinterestedinlearn-Efficientandinterpretablespatialan...
InexactTensorMethodswithDynamicAccuraciesNikitaDoikov1YuriiNesterov2Abstractberg,2018;Doikov&Richta´rik,2018;Wangetal.,2018;Zhouetal.,2019),whichhavebetterconvergencerate,thanInthispaper,westudyin...
EvolutionaryTopologySearchforTensorNetworkDecompositionChaoLi1ZhunSun1AbstractMorerecently,somestudiesbroughttheideafromphysicstoextendTDintoamoresophisticatedform,i.e.,Tensornet-Tensornetwork(TN)d...
TensorVariableEliminationforPlatedFactorGraphsFritzObermeyer1EliBingham1MartinJankowiak1JustinChiu2NeerajPradhan1AlexanderM.Rush2NoahGoodman13AbstractInrecentyearsresearchershaveexploitedtheequival...
EfficientNonconvexRegularizedTensorCompletionwithStructure-awareProximalIterationsQuanmingYao12JamesT.Kwok2BoHan3AbstractInmanyapplications,onlyafewTensorentriesareob-served.Forexample,ofteneachYou...
Shampoo:PreconditionedStochasticTensorOptimizationVineetGupta1TomerKoren1YoramSinger21AbstractNocedal,1980)thatcanbeusedwheneversecond-orderinformationisunavailableortooexpensivetocompute.Precondit...
ProbabilisticBooleanTensorDecompositionTammoRukat12ChrisC.Holmes12ChristopherYau23AbstractFigure1:Graphicalintuitionfor3-wayBooleanTensordecomposition.Logicalconjunction(∧)ofBooleanvectorsBooleant...
LearningBinaryLatentVariableModels:ATensorEigenpairApproachArielJaffe1RoiWeiss1ShaiCarmi2YuvalKluger3BoazNadler1AbstractForsimplicityweassumeitisGaussian,thoughourmethodcanbemodifiedtohandleotherno...
CoVeR:LearningCovariate-SpecificVectorRepresentationswithTensorDecompositionsKevinTian1TengZhang2JamesZou3Abstract1.IntroductionWordembeddingisausefulapproachtocap-Theuseoffactorizationsofco-occurr...