UnitaryBranchingPrograms:LearnabilityandLowerBoundsFidelErnestoD´ıazAndino1MariaKokkou2MateusdeOliveiraOliveira3FarhadVadiee3AbstractdepthBooleancircuitscanbecomputedbywidth-5branch-ingprogramsof...
OnLowerBoundsforStandardandRobustGaussianProcessBanditOptimizationXuCai1JonathanScarlett12Abstractgunovicetal.,2016;Wang&Jegelka,2017;Janzetal.,2020),andalgorithm-independentLowerboundshavebeenInth...
LowerBoundsonCross-EntropyLossinthePresenceofTest-timeAdversariesArjunNitinBhagoji1DanielCullina2VikashSehwag3PrateekMittal3Abstractonestablishingfundamentalboundsonlearninginthepres-enceoftest-tim...
ExponentialLowerBoundsforBatchReinforcementLearning:BatchRLcanbeExponentiallyHarderthanOnlineRLAndreaZanette1AbstractweconsidertwoclassicalbatchRLproblems:1)theoff-policyevaluation(OPE)problem,wher...
ALowerBoundfortheSampleComplexityofInverseReinforcementLearningAbiKomanduru1JeanHonorio2AbstractproblemcanbeembeddedinLMDP,solutionstostandardMDPproblemsbasedonstandardMDPsareguaranteedtoInverserei...
SuperpolynomialLowerBoundsforLearningOne-LayerNeuralNetworksusingGradientDescentSurbhiGoel1AravindGollakota1ZhihanJin2SushrutKarmalkar1AdamKlivans1AbstractOurResults.Inthispaperwegivethefirstsuperp...
LowerComplexityBoundsforFinite-SumConvex-ConcaveMinimaxOptimizationProblemsGuangzengXie1LuoLuo2YijiangLian3ZhihuaZhang45AbstractconvexsuchthatX⊆RdxandY⊆Rdy.Thisformula-tioncontainsseveralpopularm...
LinearLowerBoundsandConditioningofDifferentiableGamesAdamIbrahim1WaïssAzizian2GauthierGidel1IoannisMitliagkas1Abstractmind(Meschederetal.,2017),andtomakemattersworse,havebeenoftentunedsuboptimally...
Continuous-timeLowerBoundsforGradient-basedAlgorithmsMichaelMuehlebach1MichaelI.Jordan1AbstractindependentLowerboundsthenresultfromanunboundedincreaseintheproblemdimension.Thisestablishes,forThisar...
LowerBoundsforSmoothNonconvexFinite-SumOptimizationDongruoZhou1QuanquanGu1Abstractoffirst-orderalgorithmsforsolving(1.1),whichhaveac-cessestotheIncrementalFirst-orderOracle(IFO)(AgarwalSmoothfinite...
PartialOptimalityandFastLowerBoundsforWeightedCorrelationClusteringJan-HendrikLange12AndreasKarrenbauer1BjoernAndres134Abstractsolution.Weightedcorrelationclusteringingeneralgraphsishardtosolveexac...