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fretwork gauge theory quantum computer quantum linkcitebrowerha hamiltonian introduce two decade ago alternative wilson euclidian grille qcd gauge field present bi additive fermionanti fermion operator generalized new microscopic histrionics lattice field possibility referred tt theorycitebrowervy recast hamiltonian minkowski space real time development theory lead nature quantum qubit algorithm explore digital quantum computing gauge theory simplest example compact qed triangular fretwork delimitate gauge invariant kernel suzuki trotting horse expansion expressed qubit circuit capable tested ibm existing noisy intermediate scale leaf quantum nisq hardware lowly step exploring quantum complexity theory guide succeeding application high spirit vim cathartic condense topic quantum orbit theory | 19 | 471,548 | [
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evaluation energy resolution change angle view incident photon lyso calorimeter paper investigate effect energy resolution changing angle position relative incidence photon crystal intercellular substance built mm lyso scintillating crystal crystal offer electromagnetic calorimeter turkish accelerator center particle manufactory tac pf sensing element vim resolution obtained center matrix energy range mev gev examined dependence energy resolution relative incidence angle photon resolution begin deteriorate angle greater crystal matrix moreover energy resolve corner primal crystal worse middle fundamental crystal factor mev gev | 17 | 375,133 | [
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spontaneously scalarized black hole dynamical chern simon gravity dynamic equilibrium solution present paper construct spontaneously scalarized rotating black hole solution dynamical chern simon dc gravity following scalar field evolution decoupling limit range parameter kerr black hole becomes unstable within dc gravity scalar field grows exponentially reach equilibrium configuration independent initial perturbation interestingly symmetry scalar field broken strong maximum around one rotational ax observed black hole scalar charge calculated two coupling function suggesting main observation would remain qualitatively correct even one considers coupling functionscoupling parameter producing large deviation kerr solution beyond decoupling limit approximation | 10 | 1,434,546 | [
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fitting odd pull quint residual answer new result appendage underlying quark transition recently reported lhcb belle collaboration note show main entailment handful new mensuration understood tool introduced recent paper arxiv without need redo globular convulsion see main wallop new result due lhcb decrease reduced uncertainty validate conclusion presenting result novel global fit | 17 | 369,040 | [
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modmax meet susy give prescription supersymmetrization four dimensional nonlinear electrodynamics theory lagrangian density satisfying convex shape condition relate semi classical unitarity apply ane parameter modmax extension maxwell electrodynamics preserve electromagnetic duality conformal invariance born infeld like generalization proving wave particle duality invariance preserved set superconformal invariance supermodmax hypothesis showing coupling supergravity superintendent weyl invariant higher derivative photino field battle interaction appear supersymmetric nonlinear electrodynamics hypothesis removed invertible nonlinear superfield redefinition | 9 | 1,665,678 | [
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stock leontyne price forecast deep learning paper compare versatile approach stock price prediction using neural network analyze performance full connected convolutional recurrent architecture predicting next day value sp index found previous value exposit analysis including leash different optimisation technique stochastic slope descent root mean second power multiplication adaptative moment estimate numerical experimentation reveal single bed recurrent neural meshing rmsprop optimizer acquire optimal event validation trial mean absolute error respectively | 15 | 1,189,282 | [
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socioeconomic well index annual well index constructed xiii socioeconomic cistron pop question order dynamically measure mood citizenry econometric model fitted log return index parliamentary law quantify tail risk perform option pricing risk budget ply statistically sound assessment socioeconomic substance index consistent noetic finance hypothesis enabling construction valuation insurance type financial instrumental role serve contract written endogenously vxo volatility step stock marketplace appears greatest contributor tail hazard exogenously stress testing index politically important factor trade imbalance effectual immigration quantify systemic risk probability story range value trade threshold associated larger downward cause index immigration level main design index ply early monition negatively charged change mode citizen thus alerting policy maker private agent potential future market downturn | 18 | 1,591,808 | [
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estimate time scale current relaxation percolative random resistor cum tunneling network model random resistor cum tunneling network rrtn model proposed group considering extra phenomenological semi classical tunneling process classical rrn bond percolation model earlier reported early stage two inverse power law followed large time purely exponential tail rrtn macroscopic current relaxation paper investigate broader perspective current relaxation present analytical argument behind strong convergence irrespective initial voltage configuration bulk current towards steady state mapping problem special kind gauss seidel method find two phenomenological time scale referred emerge variation macroscopic quantity current dynamic show one independent thus exists single scale time control entire dynamic | 4 | 1,453,004 | [
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adic generalized gibbs measure ising poser cayley tree composition consider adic ising model cayley tree order give full verbal description adic translation invariant generalize gibbs measure moreover show existence stage passage adic ising model | 8 | 694,530 | [
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deeper wider network point cloud self attention prevalence deeper network driven self attention stark contrast underexplored point based method paper propose groupwise self attention basic block construct network sepnet proposed module effectively capture local global dependency module computes feature group based summation weighted feature point within group convenience generalize groupwise operation assemble module facilitate network deepen widen sepnet task segmentation classification respectively verify practicality specifically sepnet achieves state art task classification segmentation datasets show empirical evidence sepnet obtain extra accuracy classification segmentation increased width depth respectively | 0 | 77,086 | [
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face detection feature pyramid landmark accurate face detection facial landmark localization crucial face recognition system present series three single stage rcnns different sized backbone mobilenetv mobilenetv resnet six layer feature pyramid trained exclusively wider face dataset compare face detection landmark accuracy using eight context module architecture four proposed previous research four modified version find evidence proposed architecture significantly overperform postulate random initialization additional layer least equal importance show present model achieves near state art performance wider face also provides high accuracy landmark simple context module also present result using mobilenetv backbone achieve average precision wider face hard validation set able run real time comparing author show model exceed state art similar sized rcnns match performance much heavier network | 3 | 129,275 | [
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integrate forecasting mean variability portfolio optimization many problem quantitative finance necessitate predictive forecasting decision base optimisation traditionally predictive model optimise unique prediction based nonsubjective restraint therefore unaware prediction ultimately apply context final decision based optimization present stochastic optimization framework integrating statistical regression based predictive model average variance portfolio optimization define closed form analytical solution provided unconstrained equality constrained character ecumenical inequality constrained example shuffling use recent rise neural network architecture efficient optimization batch quadratic programme noesis first tight study integrate prevision mean variance portfolio optimisation setting present several historical simulation using global future information demonstrate benefit integrated approach comparison decoupled alternative | 15 | 1,113,208 | [
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baryon production probability via nuclear configurational entropy study nett baryon output forward rapidity within color crank condensate paradigm high spirit energy regime lead baryon production mechanic show change recombination independent fragmentation nuclear configurational entropy nce constructed upon forward scattering bounty allows predict two free parameter govern anomalous attribute target gluon distribution global minimal nce indicate direct stability pppaaa collision lhc zip corroborating twin data hadron spectrum valuate pp dau collision rhic energy accuracy respectively two free parameter | 7 | 1,647,233 | [
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emersion innovation complexity different geographical technological scurf define novel quantitative strategy inspired ecological notion nestedness single scale innovation complexness emerges assembling specialized edifice blocking psychoanalysis intimate innovation outer space interpreted rude system advantageous capableness selected evolutionary pressure also emerging bodily structure capability independent scale observation observed inflate brainwave reserve understand whether capability characterizing introduction blank given scale compatible complex evolutionary moral force rather set essentially independent activity allowing thin system scale set disjoint non interacting sub system take measure innovation complexity system ie degree mutuality set capability underlying organization building block | 15 | 1,190,887 | [
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one dependent coloring star graph paper concerned symmetric dependent coloring ray star graph compute critical point dependent hard core process give lower bound number color needed dependent coloring provide explicit construction dependent coloring infinite subgraph symmetric color whose restriction copy symmetric dependent coloring also prove coloring color list open problem presented | 1 | 517,566 | [
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exploring new physic phase angle scenario neutrino oscillation experimentation various global analysis available neutrino oscillation data indicate presence standard neutrino cycle picture however short baseline anomaly point possible macrocosm fourth neutrino mass ev scale basically sterile nature sterile neutrino exist nature presence taken considerateness properly analytic thinking neutrino data interference full term come due additional cp form presence sterile neutrino gravely impact physic hunt long baseline lbl neutrino oscillation experiment current work consider one light electron volt scale sterile neutrino investigation three cp phase angle context upcoming deep metro neutrino experiment dune estimate result improve information nova tk thk added analysis illustrate correlation cp phase among also three active uninspired mixing angle finally briefly illustrate relevant parametric quantity space context neutrinoless double beta decay get modified tripping bound bearing twinkle sterile neutrino | 17 | 340,420 | [
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wicket investigating nonuniform phase dimensional arrant neveu fashion model demarcation infinitely many flavor investigate phase structure dimensional egregious neveu model big nf limit nf denotes earpiece number fermion sapidity discus two different fermion representation consequence edition distinct symmetricalness action present numerical termination indicate existence nonuniform phase slant similar dimensional gross neveu mannequin | 19 | 438,610 | [
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subspace packing construction bound grassmannian set dimensional subspace vector space kotter kschischang showed code grassmannian space used error correction random network coding hand code analog code johnson scheme ie constant dimension code code grassmannian also form family analog block design called subspace design paper examine one last family analog block design considered family called subspace packing analog packing considered recently network coding solution family multicast network called generalized combination network subspace packing set subspace subspace contained element goal work consider largest size subspace packing derive sequence lower upper bound maximum size packing analyse bound identify important problem research area | 1 | 557,807 | [
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trucking rig closed form solution barrier american choice spell time dependent ornstein uhlenbeck process newspaper publisher develop semi shut form root barrier perhaps time dependent american option written underlying gunstock come time dependent ou process logarithm normal drift role model tantamount familiar cordell hull white mannequin fi clip dependent ou model fx semi closed form mean give time dependent interest charge per unit continuous dividend volatility function one need solve numerically linear roadblock option nonlinear american option fredholm equality first form option price case presented one dimensional integral combination solution jacobi theta function besides demonstrate computationally method efficient backward finite difference method used solving problem also efficient forward finite deviation solver providing good truth stability | 15 | 1,140,634 | [
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old technique new time rmaczek package producing czekanowskis diagram inspired maczek visual basic program provide package rmaczek produce czekanowskis diagram package permit seriation distance method user provides paper focus olo qapsum method seriation package illustrate possibility package three anthropological study one socio economical one phylogenetically motivated simulation study | 5 | 1,015,753 | [
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recursion relation point conformal block consider point function conformal field theory dimension using weight shifting operator derive recursion relation allow computation arbitrary conformal block appearing point function scalar operator reducing linear combination block scalar exchanged additionally derive recursion relation conformal block appear one external operator point function spin result allow u formulate positivity constraint using point function describe expectation value energy operator bilocal state created two scalar | 1 | 522,194 | [
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macroeconomic forecasting statistically validate cognition graph study leverage narrative global paper concept theme based noesis graph world event demonstrate characteristic extracted graph better prognosis industrial production three large thriftiness compared number benchmark analysis relies filtering methodological analysis selection backbone statistically significant edge large graph information set find alteration eigenvector centrality node backbone capture shift relative importance different theme importantly better graph similarity measure supplement result interpretability psychoanalysis showing theme category disease economical strongest predictive power sentence period consider work serf design construction penurious yet informative theme establish knowledge graph monitor material clip phylogenesis relevant phenomenon socio economic system | 18 | 1,634,591 | [
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automated femur segmentation computed tomography image using deep neural network osteoporosis common bone disease occurs creation new bone keep loss old bone resulting increased fracture risk adult age especially risk see quality life diminished limited mobility lead isolation depression developing robust screening method capable identifying individual predisposed hip fracture address clinical challenge method us finite element analysis relies segmented computed tomography ct image hip presently segmentation proximal femur requires manual input tedious task prone human error severely limit practicality method clinical context present novel approach segmenting proximal femur us deep convolutional neural network produce accurate automated robust fast segmentation femur ct scan network architecture based renowned net consists downsampling path extract increasingly complex feature input patch upsampling path convert acquired low resolution image high resolution one skipped connection allow u recover critical spatial information lost downsampling model trained manually segmented ct image evaluated ground truth manual segmentation method delivers mean dice similarity coefficient dsc th percentile hausdorff distance hd mm respectively | 3 | 119,440 | [
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living femtometre edge heavy particle transport enrico fermi condensation transfer training function baryon power spectrum redshift today recently first prison term determine data point pardo spergel observe remarkable coincidence function conveyance office cold ideal enrico fermi gas dissimilar redshift point unveil infinite go vital temperature relativistic ideal fermi gas depend finely quantized long aloofness cutoff audio horizon scale baryon acoustic oscillation bao seems set cutoff dial critical temperature subsequently make redshift critical point enrico fermi gas get scale invariant may condense subsequently undergo gravitative prostration seeding small ordered series social organization mention profound implication including apparent quantisation fermi momentum conjugate cutoff corresponding gapping temperature | 7 | 1,761,636 | [
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subleading contribution three nucleon impinging interaction obtain minimal form ii derivative three nucleon contact lagrangian imposing restraint deduce distinct symmetry fierz identity poincare covariance result interaction depending unidentified low energy constant lead three nucleon potential give local form constellation space also consider leading derivative quaternion nucleon fundamental interaction show exists one independent manipulator | 14 | 918,298 | [
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low rank binary matrix approximation column sum norm consider rank approximation gf binary matrix positive integer one seek binary matrix rank minimizing column sum norm show every randomized approximation algorithm rank approximation gf running time first polynomial time approximation scheme ptas problem | 0 | 79,217 | [
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algebro geometric investigation shape supercoiled dna euler elastica ideal elastic rod plane two kind closed shape circle figure eight realized minimum euler bernoulli energy although closed supercoiled dna modeled elastic rod model even considering effect elastica model provides much simpler shape observed via atomic force microscope afm since minimal point energy expressed elliptic function letter generalization elastica demonstrate shape determined data hyperelliptic curve partially reproduce shape property dna | 2 | 1,374,301 | [
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titan dynamic love number implies stably stratified ocean dynamic quadrupole love number titan measured cassini strongly indicating global subsurface ocean however theoretical love number due equilibrium tide absence ice shell top ocean reality outer ice shell thickness reducing equilibrium tide love number therefore type tidal response like dynamic tide may also present titan propose ocean stably stratified result exist standing ocean wave gravity mode eigen frequency close tidal frequency gravity mode mode resonantly excited bend outer ice shell radially thus enhances dynamic love number order account discrepancy brunt vaisala frequency ocean required compatible volatile rich model titan proposed explain methane rich atmosphere three component tidal potential azimuthal degree correspond three component quadrupole love number excite retrograde axisymmetric prograde mode equally absence rotation however coriolis force induced titan rotation break symmetry among mode likely one love number component significantly enhanced g mode two still attributed equilibrium tide prediction testable observation confirmed smaller component love number used constrain thickness outer ice shell | 10 | 1,509,472 | [
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extracting magnitude magnetised field freeze heavy ion collision secure magnetic flying field influence significantly mass charged light meson lesson sight charged pion tone magnetic field study increase propose mechanism possible way extract magnitude magnetic field freeze heavy ion hit therefore help tighten lifetime shortly major subject question adjudicate specifically designate ratio take charged pion charged rho sore magnetised field value freeze using sticky hydrodynamic fabric iebe vishnu simulate sound ion collision go magnetised field operation hook meson mass compute proceeds predict dependence proportion magnetic field suggest use good overhaul ratio charge rho yield institutionalise pion yield experimental evident extract possible charismatic field battle frost ponderous ion collision | 16 | 801,173 | [
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trigonal toda lattice equation article give trigonal toda lattice equating fracfracdd qellt eqellt eqellzetat eqellzetat eqellt lattice spot directed regular graph elliptic solvent breaking ball | 12 | 745,632 | [
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harnessing heterogeneity learning decomposed feedback bayesian modeling significant interest learning optimizing complex system composed multiple sub component component may agent autonomous sensor among rich literature topic agent based domain specific simulation capture complex dynamic subgroup interaction optimizing simulation computationally algorithmically challenging bayesian approach gaussian process gps used learn computationally tractable approximation underlying dynamic typically neglect detailed information subgroup complicated system attempt find best world proposing idea decomposed feedback capture group based heterogeneity dynamic introduce novel decomposed gp regression incorporate subgroup decomposed feedback modified regression provably lower variance thus accurate posterior compared previous approach also allows u introduce decomposed gp ucb optimization algorithm leverage subgroup feedback bayesian nature method make optimization algorithm trackable theoretical guarantee convergence regret property demonstrate wide applicability work execute algorithm two disparate social problem infectious disease control heterogeneous population allocation distributed weather sensor experimental result show new method provides significant improvement compared state art | 6 | 1,439,957 | [
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mass spectrum heavy pseudoscalars using instantaneous bethe salpeter equation dissimilar heart soul solved instantaneous bethe salpeter equation clayey pseudoscalars unlike nitty gritty kernel find using elongate scalar potential plus one gluon exchange transmitter potential feynman gauge landau gage coulomb standard measurement sentence component gauge obtained multitude spectrum heavy pseudoscalars compared leave different kernel found apply parameter obtain smallest mass splitting time component ampere second gauge interchangeable largest mass carve feynman coulomb gauge middle sizing splitting landau gauge | 7 | 1,645,787 | [
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powerfully coupled qft dynamic via tqft coupling consider stratum quantum field hypothesis quantum mechanic duo topological qfts order classify non perturbative essence original theory tqft structure arise naturally turning classical background field manikin globular symmetry yang mill theory pair tqft non perturbative expansion disceptation semi classical debile coupling domain potent coupling noesis domain corresponding fractional topological direction shape classify non perturbative effect original theory mustiness use bundle facelift conformation critical point infinity impediment back provide shade instanton sum integer topological flush crucially fractional military natural process configuration contribute provide tqft protect generalization resurgent semi classical expansion hard coupling monopole instantons fractional instantons interpreted tunneling event hooft flux density background knowledge bundle building provides newfangled position firm coupling authority qfts purpose number quondam standing issue especially fix conflict large instanton analysis derive mass gap gaplessness model mass disruption arbitrary | 19 | 444,004 | [
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relative wealth vexation partial information heterogeneous prior instal nash chemical equilibrium market agent operation criterion relative wealth level market return unobservable investor random prior belief return rate risky asset investor heterogeneous beggarly variance prior separation result martingale disputation show optimum investment scheme stochastic return rate modelling characterized fully coupled linear fbsde deuce set deep neural network employ numerical calculation first time encounter investor estimation mean return rate solve fbsdes establish existence uniqueness result class fbsdes stochastic coefficient solve utility game fond information using deep neural network function approximators demonstrate efficiency accuracy base case comparison solution finite difference scheme analogue case employ algorithm general case nonlinear hidden variable physical process model investment strategy show herd effect investor trade aggressively relativeness concern statistical property investing strategy portfolio performance including sharpe ratio variance risk ratio vrrs examed observe agent accurate prior estimate likely wind herd effect contender heterogenous agent varies food market characteristic compared homogeneous case | 15 | 1,142,855 | [
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mynd unsupervised evaluation novel bci control strategy consumer computer hardware neurophysiological bailiwick typically direct laboratory limited ecological validity scalability generalizability finding substantial challenge development brain electronic computer user interface bcis ultimately need function unsupervised setting consumer grade hardware introduce mynd framework couple consumer grade recording ironware easy use application unsupervised rating bci controller strategy national guided experiment choice hardware fitting recording data upload order self administer multi day study include neurophysiological recording questionnaire use case valuate ii bci ascendance strategy prescribed memory music imagery naturalistic scenario combining mynd four channel electroencephalogram encephalogram thirty subject record hour electroencephalogram data organization home median headset meet time second medial signal quality retained recordingsneural activity control scheme could decoded average offline accuracy across day reiterate unsupervised execution strategy affected performance could tackled implementing feedback let subject switch scheme devise new strategy platform | 5 | 1,065,169 | [
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momentum blank space chance denseness halo effectual study theory compute momentum space probability density go order halo eft framework nucleus treated three body job core deuce valence neutron demand matrix well force input faddeev equating since matrix corresponds energy dependent potential consider consequent modification standard normalization perpendicularity circumstance find little momentum within domain validity halo eft regime probability density regulator independent provided shortcut significantly eft equipment failure scurf | 14 | 946,278 | [
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thin air read towards event structure model relaxed memory model relaxed memory propose confusion free event structure alphabet justification relation execution modeled justified configuration every read event justifying write event justification alone weak criterion since allows cycle kind result called thin air read acyclic justification forbids cycle also invalidates event reordering result compiler optimization dynamic instruction scheduling propose notion well justification based game like model strike middle ground show well justified configuration satisfy drf theorem data race free program well justified configuration sequentially consistent also show rely guarantee reasoning sound well justified configuration justified configuration example well justified configuration type safe well justification allows many reordering performed relaxed memory particular fails validate commutation independent read discus variation may address shortcoming | 0 | 27,847 | [
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optimal ascendency disease prison house universe screening policy novel inmate paper study optimum ascendancy problem communicable disease prison population order control bed covering disease inside prison consider active fount finding strategy consisting screen proportion new inmate entry point followed treatment depending result procedure control variable consists coverage screen applied new inmate disease dynamic modeled si susceptible infected susceptible model typically put upon represent disease confer immunity contagion determine optimal scheme understate combination cost screeningtreatment entrance cost maintaining infected individual privileged prison house given metre horizon using pontryagin maximal rationale hamilton jacobi bellman equation among tool supply complete synthesis optimal feedback ascendency consisting bang bang strategy two shift time rum arc trajectory characterise different profile depending theoretical account parameter | 5 | 1,063,155 | [
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potent coupling lattice qcd uninterrupted clip boundary present resolution lattice qcd staggered fermion limit non finite gage couple obtain worm role three card monte carlo algorithmic program distinct spacial wicket uninterrupted euclidean time obtained commit anisotropy parameter number time slice timeless existence keep open ratio fix obvious increment continuum extrapolation carried moreover algorithm faster sign problem vanish derive continuous meter partition role match hamiltonian conceptualization compare computation distinct lattice study nix finite temperature property grille quantum chromodynamics regime | 19 | 459,663 | [
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explicit analytical solution planer elastostatic problem rigid cellular inclusion arbitrary shape subject arbitrary far field load provide analytical solution pliant field ii dimensional limitless isotropic body rigid inclusion depth psychology based boundary inbuilt formulation elastostatic problem geometric office theory specifically use coordinate system provided exterior conformal mapping cellular inclusion define density basis use boundary inclusion use faber polynomial associated inclusion base inside inclusion latter represent main novelty approach allow obtain explicit serial publication solution plane elastostatic trouble inclusion arbitrary condition full term afford arbitrary far field loading | 8 | 670,171 | [
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accurate mapping spherically symmetric black hole parameterised framework rezzolla zhidenko rz framework provides efficient approach characterize spherically symmetric black hole spacetimes arbitrary metric theory gravitational force using small number variable rezzolla zhidenko phys rev variable obtained principle near horizon measurement various astrophysical process thus potentially enabling efficient test black cakehole property possibility general relativity strong field regime extend framework allow parametrization arbitrary asymptotically flat spherically symmetric metric introduce notion dimensional parametrization blank solution visualised curve surface norm infinite used measure deflexion finicky compact object solution schwarzschild black market maw solution calculate various observables tie particle photon arena within framework demonstrate relative error obtain low particular obtain innermost stable circular orbit isco frequency unstable photon orbit impact parameter shadow entire orbital angular speed profile circular kepler observer entire lensing digression angle curve various type compact object including non singular singular black hole boson sensation naked singularity various theory gravity finally provide tabular signifier first coefficient fourth monastic order rz parameterization needed describe variety commonly used black hole spacetimes liken first orderliness rz parameterization astrophysical observables isco frequency coefficient provided increase truth two order magnitude | 11 | 208,780 | [
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normalizing flow deep anomaly detection anomaly detection complex data challenging task perspective machine learning work weconsider case missing certain kind anomaly training dataset significant statistic normal class isavailable scenario conventional supervised method might suffer class imbalance unsupervised methodstend ignore difficult anomalous example extend idea supervised classification approach class imbalanceddatasets exploiting normalizing flow proper bayesian inference posterior probability | 0 | 30,362 | [
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independent set semi random hypergraphs set vertex hypergraph called independent set hyperedge completely contained inside set given hypergraph computing largest size independent set np hard problem work study independent set problem hypergraphs natural semi random family instance semi random model inspired feige kilian model fk popular model also studied work fk ste mmt etc mckenzie mehta trevisan mmt gave algorithm computing independent set semi random family graph algorithm mckenzie et al mmt based rounding crude sdp generalize result technique hypergraphs analogous family hypergraph instance algorithm based rounding crude sdp mckenzie et al mmt augmented lasserresos like hierarchy constraint analogous result mckenzie et al mmt study range input parameter recover planted independent set large independent set | 0 | 91,389 | [
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quantum tomography measure entanglement collider reaction entanglement high energy nuclear reaction receiving great attention proper description reaction us density matrix express entanglement term separability quantum tomography bypass field theoretic formalism determine density matrix term experimental observables review recent work applying quantum tomography practical experimental data analysis discus relation separability defined quantum information science factorization defined high energy physic factorization applies come using separable probe tomographically determine separable projection entangled density matrix | 7 | 1,552,711 | [
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bridge single collective cell migration review model connect experiment mathematical computational model assistance gaining infer cell behavior many level organization follow model literature focus eucaryotic cell motion size scale intracellular signaling regulates cell shape movement single cell motility collective cell behavior cell tissue paper survey recent literature summarize distinct computational method acting phase field polygonal cellular potts orbicular cell saucer model span level organization describe level detail biochemical geometric let model highlight link mock experiment rule model span level however minority | 5 | 1,047,800 | [
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numerical solvent active portfolio optimization dealing cost apply numerical dynamic computer programming technique work discrete time multi plus dynamic portfolio optimization job relative transaction cost shortingborrowing constraint example let problem multiple asset many trading period finite apparent horizon problem also solve active stochastic trouble portfolio including ane risk free asset selection underlying risky asset creation transaction cost constraint lesson demonstrate tractable solve trouble | 15 | 1,145,064 | [
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foreground cleaning template free stochastic background extraction lisa based rate resolved astral line black hole neutron star merger measured ligo virgo expect detector also observe unresolved stochastic gravitational wave background sgwb sentence reach blueprint sensitivity since binary observed ligo virgo pa lisa mhz frequency band first place stage orbital evolutionit foreseen sgwb also observable lisa signal noise ratio snr unlike stochastic sign galactic white dwarf binary subtraction expected potential exploiting yearly modulation induced motion lisa constellation background unresolved stellar origin black hole neutron mavin binary act foreground stochastic signal cosmogonic astrophysical origin may also present lisa band employ principal component analysis role model extract extra hypothetical sgwb lisa band without making priori assumption phantasmal shape time account presence spotlight stellar origin inglorious hole neutron star well possible doubtfulness lisa noise standardization find technique lead linear problem consequently suitable fast reliable origin sgwbs snr ten prison term weak ligovirgo foreground quite severally spectral shape | 11 | 283,823 | [
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colour transparency mesotron produced inclusive reply nucleus people discolor transparency studied meson produced ascribable large four impulse transfer reaction nucleus magnetic variation mesotron coloring material transparency ct photon virtuality kaon impulse investigate calculated outcome nutmeg state compared data reported jefferson laboratory | 16 | 894,025 | [
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hierarchy parsing image captioning always well believed parsing image constituent visual pattern would helpful understanding representing image nevertheless evidence support idea describing image natural language utterance paper introduce new design model hierarchy instance level segmentation region level detection whole image delve thorough image understanding captioning specifically present hierarchy parsing hip architecture novelly integrates hierarchical structure image encoder technically image decomposes set region region resolved finer one region regress instance ie foreground region process naturally build hierarchal tree tree structured long short term memory tree lstm network employed interpret hierarchal structure enhance instance level region level image level feature hip appealing view pluggable neural captioning model extensive experiment coco image captioning dataset demonstrate superiority hip remarkably hip plus top attention based lstm decoder increase cider performance coco karpathy test split endowing instance level region level feature hip semantic relation learnt graph convolutional network gcn cider boosted | 0 | 26,409 | [
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constraining asymptotically safe cosmology cosmic speedup without dark energy recently proposed asymptotically dependable cosmology provides elegant mechanism towards understanding nature dark energy associated cosmic coincidence problem underlying idea speed expansion universe come due infrared quantum solemnity modification average astrophysical scale galaxy galaxy clustering produce local anti soberness seed cosmological model extra unproven energy scale fine tuning use study asymptotically safe example face recent observational data low spirited redshift probe namely measurement hubble parametric quantity standard standard candle pantheon snia quasi astral object baryonic acoustical cycle baos high redshift probe cmb shift parameter performing overall likelihood psychoanalysis restrain costless parameter model tryout performance concordance model insipid cdm utilizing large family information criterion detect asymptotically safe model statistically equivalent cdm hence seen viable efficient cosmological alternative | 9 | 1,797,527 | [
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dominance successive transfer large yield liv system rule inclusive output cross plane section measure liv system cheeseparing coulomb roadblock theoretical calculation contribute reaction channel using finite kitchen stove coupled chemic response method acting acting fresco code understand answer chemical mechanism cross incision breakupd serial np pn transfer statistical radioactive decay line lead output calculate gravel accumulative production cross section observed channel could reproduce entire production angulate distribution quite well sequential transfer display dominant contribution compared unmediated transfer channel | 16 | 896,880 | [
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decipher correlator search chiral magnetic effect relativistic heavy ion collision background chiral magnetic effect cme extensively studied heavy ion collision rhic lhc azimuthal correlator called proposed measure cme observing convex distribution multi phase ecstasy ampt model contrasting data model well large small system event shape engineering ese recent preprint arxivv virtuoso suggest discernible sensible cme signal relatively insensitive background knowledge auau data inconsistent known background contribution purpose examine claim studying validity observable using ampt well toy theoretical account simulation compare wide employ azimuthal correlator identify commonality difference method acting use ampt simulate auau pau dau collision subject area response anisotropic flow background model also utilize toy model simulate resonance flow background input cme signal investigate gist additionally use toy exemplar perform ese analysis compare star data well predict degree sensitiveness isobar collision event statistic taken rhic | 14 | 990,634 | [
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accurate autonomous nigh real fourth dimension reconstruction period expend drone drone revolutionize modeling mannikin represents accurate reconstruction object structure paper explores design implementation provides near real time accurate reconstruction model expend drone mounted lidar capability utile document expression check aircraft wholeness flight accurate reconstruction requires high drone positioning accuracy global positioning system accurate u slam however must deal respective competing constraint drone battery compute resource slam erroneousness assemblage lidar resolution u deliberate trajectory design rule sweet spot restraint space fast reconnaissance mission flight narrow search arena body structure unload expensive computation cloud streaming compressed lidar data lte comprise reconstructs large structure within cm incurs le compute latency | 3 | 185,488 | [
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uv photometry spotted star horizontal branch globular cluster ngc using astrosat recent study hot extreme horizontal branch ehb star globular cluster gc led discovery variability suggested variability driven projected rotation magnetic spot stellar surface expected higher amplitude shorter wavelength present analysis hot star massive gc ngc using ultraviolet imaging telescope uvit aboard astrosat use uvit data combination hubble space telescope uv globular cluster survey hug data central region within ground based optical photometry outer part cluster generate far uv fuv optical colour magnitude diagram cmds find population hot ehb star fainter zero age horizontal branch zahb model comparison fuv magnitude already reported variable ehb star vehbs show longest period vehbs faintest along tentative correlation rotation period uv magnitude spotted star order firmly establish correlation study essential | 10 | 1,318,866 | [
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hyperspherical approach dipolar bose einstein condensate beyond mean field limit apply hyperspherical formulation trapped bose einstein condensate dipolar contact interaction central approach general correspondence harmonic hyperspherical method suitable gaussian ansatz gross pitaevskii equation regardless form interparticle potential correspondence allows one obtain hyperspherical potential energy wide variety physical problem case dipolar bose einstein condensate motivates inclusion beyond mean field term within hyperspherical picture allows u describe energy wavefunctions excitation self bound dipolar droplet outside mean field limit | 4 | 1,447,804 | [
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novel formulation unintegrated gluon statistical distribution orcus provide semi classical description inclusive gluon cause deep inelastic scattering cross section way account lead power regge bjorken limit approach thus allows taxonomic play small temperate regimen gluon proton structure function line new unintegrated gluon distribution explicit dependency longitudinal impulse fraction entirely span dipole hustler gluonic parton dispersion function computing caliber invariant gluon manipulator lattice could allow probe energy dependence intensity scale first precept | 14 | 942,282 | [
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blockchain transaction graph based machine learning method bitcoin price prediction bitcoin one popular cryptocurrency late attracting much tending investor bitcoin price forecasting project therefore rising academic topic providing valuable insight suggestion existing bitcoin prediction body work mostly base footling feature engineering manually design characteristic factor multiple area include bticoin blockchain information finance social medium sentiment feature engineering requires much human effort effectiveness intuitively design feature guaranteed paper heading excavation abundant pattern encoded bitcoin transaction offer order transaction graph reveal pattern different scope propose dealing graph based feature mechanically encode pattern fresh foretelling method propose accept feature make price prediction adopt advantage particular pattern dissimilar chronicle menstruum result comparison experiment demonstrate propose method outperforms recent state art method | 15 | 1,181,444 | [
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past present future precision decision qcd coupling lattice qcd perturbative scale dependent renormalization problem omnipresent lattice qcd enter many relevant phenomenological application require solving non perturbatively renormalization group equality qcd parameter matrix element involvement order relate non perturbative decision low energy high vitality counterpart needed phenomenology bridging large energy separation hadronic perturbative government qcd however notoriously difficult task contribution focus case qcd coupling critically address common challenge state art lattice determination face rule order significantly improved increase review novel scheme recently put forward order solve non perturbative renormalization job discus implication future precision determination novel idea feat decoupling heavy quark match flavor qcd pure yang pulverization theory matching reckoning non perturbative running coupling qcd shifted computationally much well situated solve pure gauge theory shall present result determination parameter flavor qcd strategy applied proven successful result demonstrate technique likely unlock unprecedented precision determination qcd coupling lattice idea moreover quite ecumenical considered solve non perturbative renormalization problem | 19 | 433,458 | [
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absorption primordial black hole source baryon asymmetry propose new mechanism baryogenesis baryon asymmetry generated absorption new particle carrying baryon number onto primordial black hole pbhs due cp violation scattering plasma surrounding pbhs two conjugate particle differently absorbed pbhs leading production asymmetry sector production halted pbh evaporation asymmetry transferred baryonic sector via decay show mechanism produce correct amount asymmetry without violating known constraint pbhs concentration furthermore provide systematic study parameter space identifying region leading production correct baryon asymmetry | 10 | 1,517,828 | [
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global adaptive generative adjustment many traditional signal recovery approach comport well base penalized likelihood however meet difficulty selection hyperparameters tuning parameter penalization article propose global adaptative procreative adjustment gaga algorithm signal recovery multiple hyperpameters mechanically learned alternatively updated signal prove output algorithm immediately guarantee eubstance model selection asymptotic normality signal estimate moreover well propose variant gaga algorithm improving computational efficiency gamey dimensional data depth psychology finally simulate experiment consider consistency output signal algorithm compare algorithm punish likeliness method adaptative lasso scad mcp simulation result support efficiency algorithm signal recovery demonstrate algorithm outperform algorithm | 3 | 117,109 | [
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eigenvalue gap hyperbolic group semigroups given locally constant linear cocycle subshift finite type show existence uniform gap th th lyapunov exponent invariant measure implies existence dominated splitting index establish similar result sofic subshifts coming word hyperbolic group relation anosov representation group discus case finitely generated semigroups propose notion anosov representation setting | 1 | 572,236 | [
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cosmic variance light forthcoming high red shift survey forthcoming survey extend understanding cosmological large scale structure unprecedented redshift accord perspective nowadays amply relativistic framework evaluate impact stochastic inhomogeneity determination hubble constant target work within linear perturbation theory relate fluctuation luminosity distance redshift relation cosmic concord model intrinsic uncertainty associated measurement high redshift survey first present detailed derivation brightness distance redshift relation point correlation social function provide analytical result involved relativistic burden peculiar velocity lensing time delay integrated sachs wolfe angular spectrum hence apply analytical solvent study high redshift hubble diagram harmonize latterly claimed literature following specific euclid deep survey lsst conclude cosmic variance associated measurement hubble constant work extends analytic thinking already coiffure literature nearer reservoir peculiar velocity taken score conclude deep survey provide estimation precise one obtained local source least regard intrinsic uncertainty related stochastic dispersion inhomogeneity | 11 | 248,969 | [
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director galloping prediction imbalanced datasets svm smart sampling conductor galloping high amplitude low frequence oscillation overhead power demarcation due wind movement crataegus laevigata lead severe damage transmission line hence mannerism significant risk power system operation paper target design prevision model conductor gallop difficulty come imbalanced dataset galloping occur rarely examining impact data residual data volume prediction performance propose employ proper sample adjustment method attain better performance numerical written report evoke using ternion feature article together sampling svm base forecasting model achieves score | 3 | 167,591 | [
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classification scfts determine scfts upto rank three studying rg flow kk theory analysis reveals existence new rank one rank two scfts captured previous classification addition provide first time systematic conjecturally complete classification rank three scfts method based recently studied geometric description kk theory thus demonstrating utility geometric description straightforward though computationally intensive extend work systematically classify scfts higher rank greater equal four using geometric description kk theory | 9 | 1,585,688 | [
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tensor renormalization mathematical group bosonic field hypothesis compute sectionalisation function monolithic detached boson square toe lattice using tensor network algorithmic program introduce singular value disintegration svd uninterrupted matrix lead accurate numerical resultant record emergence cdl fixed point bodily structure massless limit regurgitate result conformal field possibility including precise economic value central charge | 9 | 1,791,849 | [
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max min fair precoder design power allocation mu mimo noma paper downlink multiple input multiple output mimo non orthogonal multiple access noma wireless communication system considered noma system base station unicast data user multiple user group share resource objective design transmit precoders power allocation coefficient jointly provide max min fairness mmf among strongest user group maintaining minimum target rate user problem solved via two main iterative approach first method based semi definite relaxation sdr successive convex approximation sca second method based equivalency achievable rate minimum mean square error mmse expression latter approach karush kuhn tucker kkt optimality condition derived expression satisfied optimal receiver mmse weight optimal precoders obtained proposed algorithm compared rate splitting r orthogonal multiple access oma multi user linear precoding mulp scheme term mmf rate energy efficiency complexity shown r best mmf rate energy efficiency mmse approach based kkt optimality condition least complexity moreover sdrsca approach offer excellent tradeoff offer high mmf rate low complexity superior energy efficiency | 1 | 509,895 | [
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global polarisation hyperon pb pebibyte hit lhc planetary polarisation hyperon measure pb pb hit tev commemorate alice lhc result reported differentially function bang centrality hyperon transverse momentum range centrality gev rapidity hyperon world polarization averaged pb pb collision tev found consistent zero stat syst hit centrality range largest signaling gestate resultant role compatible expected value based extrapolation measuring lower collision vim rhic hydrodynamical mannikin calculation empiric estimation based slay energy dependence guide flow predict global polarization value lhc section energy rule order | 16 | 812,168 | [
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covid difficulty inferring epidemiologic parameter clinical data know infection fatality ratio ifr important importance evidence base epidemic management immediate planning poise life class saved life year lost ascribable consequence management pas judgment ethical issue link understood willingness pay substantially life story year turn loss epidemic disease background verity et al lancet infection disease quickly assembled casing data used statistical modelling infer ifr covid attempted depth statistical review approach name extent data sufficiently informative ifr play greater function modelling assumption try identify assumption come along play key role given difficulty data source provide crude alternative analysis ground diamond princess cruise ship data causa information china argue given data problem modelling clinical data incur ifr stop gap measure needed near direct measurement epidemic size pcr andor antibody testing random sample distribution risk population | 5 | 1,070,793 | [
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femtoscopy stopped proton longitudinal proton proton femtoscopy hbt correlational statistic function base idea heavy ion collision gev stopped proton likelihood distinguish configuration outer space evaluate show characteristic oscillation appears sufficiently pronounced accessible experiment labor measurement essential figure heavy atom tightness fundamental celerity area besides view nearly direct verification hendrik antoon lorentz muscle contraction fast move nucleus | 16 | 871,532 | [
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independent security analysis commercial quantum random identification number author turnaround locomotive engineer tryout analyse computer hardware firmware commercial quantum optical random number generator quantis id quantique show end product data originates physically random process random timing photon preoccupancy semiconductor unit material random growing avalanche owe impact ionisation likewise found minor non random contribution imperfection detector electronics inner processing algorithm work show design quality commercial quantum optical randomness reservoir verified without cooperation manufacturing business without accession engineering documentation | 13 | 1,255,801 | [
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parameterization stoner wohlfarth model magnetised hysteresis stoner wohlfarth used model magnetic hysteresis computing time eat economic consumption machine learning approximate piecewise model easy compute analytic affair parametrization desirable tight quantitative valuation fitting experimental data point exemplify | 8 | 698,556 | [
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identification nutrient deficiency bean plant prompt chlorophyll fluorescence measurement artificial neural network deficiency macro p ca mg micro zn cu mo cl mn fe mineral major effect plant development lack nutrient mineral especially nitrogen potassium calcium phosphorus iron huge problem agriculture early warning prevention problem useful agro industry method currently used determine nutritional deficiency plant soil analysis plant tissue analysis combined method method slow expensive study new method determining nutrient deficiency plant based prompt fluorescence chlorophyll proposed paper bean plant grown complete nutrient solution control compared grown medium lacked one element n k ca fe article mineral deficiency nutrient solution evaluated stress response plant estimated leaf photosynthetic activity photosynthetic activity estimated analysis chlorophyll fluorescence using jip test approach reflects functional activity photosystems ii electron transfer chain well physiological state photosynthetic apparatus whole next fluorescence transient recorded plant grown nutrient solution deficiency p ca iron input data artificial neural network used ann train recognise deficiency p ca iron bean plant result obtained high recognition accuracy ann fluorescence transient presented possible approach identifypredict nutrient deficiency using fast chlorophyll fluorescence record | 2 | 1,338,163 | [
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calibration reference pretense auditory periphery model verhulst et al version paper describes comprehensive procedure biophysical model published verhulst et al calibrated basis reference auditory brain stem response additionally filter design used two model stage cochlear nucleus cn inferior colliculus ic distinguish detail description valid new release verhulst et al model version substantially previous version model version earlier difference model version explicitly mentioned simulation basic auditory stimulation shown model version short variant role model includes fresh implementation cn united state intelligence community stage stage previous model stage stage outer mediate ear transmission line cochlear filter bank inner hair cell model auditory nervus model remained unaltered new release model version addition updated cn ninety nine stage employed different calibration subprogram match human reference abr amplitude wave iii faithfully release note show significance mock adjustment simulation presented original model newspaper purpose result two model version reported new model release version labelled model previous model release practice verhulst et al labelled model main departure ic model stage bear degree ic inhibition applied inhibition implemented sentence domain simulation presented document show change inhibition strength drastically change issue presented original paper however correctly capture physiologically derived cn ic inhibitionexcitation strength | 3 | 104,095 | [
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strengthener learning expert trajectory quantitative trading recent year quantitative investment method combined artificial tidings attracted attention investor researcher existing related method acting base supervised learning suitable learning problem long term finish delayed reward real future trading paper therefore model damage prediction problem markov decision process mdp optimize reinforcement learning expert trajectory proposed method employ short full term alpha factor instead price volume various technical factor used exist method describe state mdp moreover dissimilar dqn deep learning bc behaviour cloning related method introduce expert experience training stage believe expert environment interaction factor environment fundamental interaction design temporal difference erroneousness factor adaptable inevitable noise financial data experimental result evaluated share monetary value index succeeding china including csi ic csi show advantage proposed method acting compared trey typical technical analysis two deep leaning base method | 15 | 1,148,759 | [
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emergent hydrodynamics strongly interacting dipolar spin ensemble conventional wisdom hold back macroscopical classical phenomenon naturally emerge microscopic quantum law however despite mantra building direct connection deuce description remained enduring scientific challenge particular difficult quantitatively predict emergent classical property system eg diffusivity viscosity compressibility generic microscopic quantum hamiltonian introduce hybrid solid state twist platform underlying perturb dipolar quantum hamiltonian give ascending emergence unconventional spin diffusion millimicron duration scale particular combining positional upset site random field lead dispersive dynamic fickian yet non gaussian finally tune underlying parameter within spin hamiltonian via compounding static driven battleground demonstrate unmediated control emergent spin diffusion coefficient workplace open door investigating hydrokinetics many eubstance quantum spin system | 13 | 1,248,054 | [
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] | [
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direction reversing active brownian particle harmonic potential study two dimensional motion active brownian particle speed intermittent directional reversal presence harmonic trap strength presence trap ensures position particle eventually reach steady state bounded within circular region radius centered minimum trap due interplay rotational diffusion constant reversal rate trap strength steady state distribution show four different type shape refer active ii passive ii phase active phase weight distribution concentrated along annular region close circular boundary whereas active ii additional central diverging peak appears giving rise mexican hat like shape distribution passive marked single boltzmann like centrally peaked distribution large limit hand passive ii phase also show single central peak distinguished passive non boltzmann like divergence near origin characterize phase calculating exact analytical form distribution various limiting case particular show shape transition two dimensional position distribution active ii passive ii occurs compliment analytical result numerical simulation beyond limiting case obtain qualitative phase diagram space | 4 | 1,524,193 | [
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epidemic behavior study equipoise distancing epidemic distancing reduces individual chance getting infected come cost creates single peaked epidemic flattens curve decrease size epidemic examine closely force distancing outset peak last size epidemic st define behavioural basic fact life number show concave transmission rate infection therefore spread transmission rate average region second peak epidemic non monotonic transmission system rate reduction transmission system rate lead increase peak hired hand drop cost distancing always flattens curve third increase infection rate well increase toll distancing gain sizing epidemic result important implication modeling interposition imposing restriction contagion rate qualitatively dissimilar consequence trajectory epidemic imposing assumption price distancing intervention affect interaction sooner transmission charge per unit therefore modeled change cost distancing | 15 | 1,126,328 | [
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conformal disturbance hypothesis confronts lattice outcome locality decisive detail study truth prognostic might conformal disruption hypothesis comparison grille issue locality finite temperature deconfinement transition su yang mill hypothesis assuming infrared property non abelian gauge hypothesis near criticality described ising model final result equivalence show conformal perturbation possibility take quantitatively precise prediction broad temperature range dish antenna implication finding verbal verbal description critical point belong universality class another strongly coupled non supersymmetric non abelian standard measuring theory critical remainder point phase diagram quantum chromodynamics finite temperature finite quark chemical substance potential | 19 | 401,220 | [
2,
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] |
new fat tail normality trial based conditional second mo application finance paper introduce effective fat measurement framework based conditional second moment construct goodness fit statistic direct interpretation used piece as impact fat tail central data conditional diffusion adjacent show use fabric construct powerful normality test particular equivalence methodology various popular normalcy test including jarque bera test establish third fourth moment show many case framework outperforms others simulated market place line descent data finally derive asymptotic distribution conditional mean value variance computer use appearance asymptotic proposed test statistic | 15 | 1,128,002 | [
2,
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459,
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] | [
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operator spectrum xxz framework root unity whirl heisenberg xxz chain paradigmatic quantum integrable model although solved exactly via bethe ansatz technique still open issuance consider spectrum root unity economic value anisotropy construct baxters operator arbitrary anisotropy two parameter transfer matrix associated complex spin supplementary space decomposition transfer matrix provides simple proof transfer matrix nuclear fusion wronskian relation root unity shortness allows construct wheeler dealer explicitly term finite dimensional matrix decomposition derive truncated spinal fusion wronskian relation well insertion type formula hypothesize antecedently elucidate fabricius mccoy fm string exponential degeneration spectrum six vertex transfer matrix root unity use semicyclic adjuvant mental representation give conjecture creation disintegration operator fm string root unity link finding string charge duality thermodynamical limit result conjecture imaginary part fm string centre possible application equilibrium physic | 8 | 662,758 | [
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beyond ohm law bernoulli effect streaming electron hydrodynamics recent observation non local transport ultraclean material raised tantalizing possibility accessing hydrodynamic correlated transport many electron state however pointed non local transport also arise impurity scattering rather interaction crux ambiguity focus linear effect ie ohm law cannot easily differentiate among different mode transport propose experiment reveal rich hydrodynamic feature system tapping non linearity navier stokes equation three experiment propose manifest unique phenomenon well known classical fluid bernoulli effect eckart streaming rayleigh streaming analysis known parameter confirms proposed experiment feasible hydrodynamic signature within reach graphene based device experimental realization one three phenomenon provide stepping stone formulating exploring notion nonlinear electron fluid dynamic eye celebrated example classical non laminar flow eg pattern formation turbulence | 4 | 1,534,266 | [
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] | [
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large yang mill theory milder topological freezing simulate pure gauge possibility large using parallel tempering scheme combine pretence open periodic boundary consideration follow algorithm originally proposed martin hasenbusch model allows dramatically suppress topologic freeze suffered standard local algorithm reducing autocorrelation time two ordering order magnitude use algorithm combining simulation non zero imaginary able bodied refine department state art result large behaviour quartic coefficient dependence vacuity energy reaching accuracy comparable large limit topological susceptibility | 19 | 455,276 | [
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secure quantum key distribution realistic device principle quantum key distribution qkd offer information theoretic security based law physic practice however imperfection realistic device might introduce deviation idealized model used security analysis quantum code breaker successfully hack real system exploiting side channel quantum code maker design innovative counter measure foil quantum code breaker article review theoretical experimental progress practical security aspect quantum code making quantum code breaking numerous attempt researcher thoroughly understand able manage practical imperfection recent advance measurement device independent protocol closed critical side channel physical implementation paving way secure qkd realistic device | 13 | 1,264,780 | [
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unreasonable effectiveness optimal transport economics optimal transport become part standard quantitative political economy toolbox model choice describe fashion model matching transfer beyond allows extend quantile simple regression discover discrete choice model provide new algorithmic rule computing random coefficient logit model generalize gravity fashion model trade paper offer brief followup basic theory application economic science reference | 18 | 1,624,898 | [
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w representation rainbow tensor role model analyze rainbow tensor modeling present virasoro constraint constraint hustler obey witt algebra null algebra generalize method representation ground substance modelling rainbow tensor model wheeler dealer preserving increasing grading play crucial purpose shown rainbow tensor modeling realized acting elementary function exponent operator increasing grade derive compact expression correlators apply respective model ie ruby tensor manikin aristotelian tensor mannequin rainbow tensor model furthermore discus event non gaussian scarlet tensor manikin present dual locution sectionalization function differentiation | 9 | 1,748,592 | [
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packaging connection favor info connection appear helpful many context get job promotion cary grant loanword publishing paper may due favouritism data conveyed connection endeavor identifying consequence relied measure true quality generally built data gather long promotion empirical strategy face important limit edifice originally oeuvre discrimination propose new method key favor information classical information collected time publicity natural assumption show promotion decision look random connected campaigner due entropy channel obtain new identification result show probit fashion model heteroscedasticity used estimate strength two effect apply method data academic promotion kingdom spain studied zinovyeva bagues recover evidence favor information effect work empirical result consistent ground get quality criterion collected five year promotion | 15 | 1,102,849 | [
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reality causality ii retrocausality energetic causal set describe new contour retrocausality found behaviour class causal set theory called energetic causal set ec discrete typeset case connected causal relative triplet order giving birth order order event generated full rule order dead target causal order dynamical partial order prescribes flow energy momentum amongst event emergent causal order defined geometry emergent minkowski spacetime event causal set embedded however embedding event emergent hermann minkowski spacetime may preserve neither true causal order correspond whole microscopic partial club vociferation disordered causality demonstrate occurrence specific ec model second series newspaper centered around question accept violation causality le price pay parliamentary procedure keep realist formulation quantum possibility begin address first newspaper continue giving explicit object lesson ec model classical regime causality disordered | 11 | 236,913 | [
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fast ultra luminous ray burst tidal strip white dwarf intermediate mass black yap two ray source recently learn irwin et al compact companion elliptical galaxy show ultra luminous flare tight resurrect minute decay hour eyeshade luminosity erg together ii source found earlier constitute new character fast transient cannot attributed neutron star might due average mass black hole imbhs msun flaring behavior recurrent least two source flare represents short period accretion onto imbh periastron passage donor star eccentric explorer repeating parabolical non retell orbit argue solar flare ascent time corresponds duration donor tidally stripped mass join residual disk pericenter duration turn adequate three time scale continuance stripping sound crossing time donor circular orbit time pericenter radius white gnome sound crossing time short peerless minute therefore donor mustiness white dwarf ransack msun upon passage several ten schwarzschild radius imbh flux decay corresponds viscous drain supplied mass toward hole aided long term ray monitoring type fast transient would ideal target next generation gravitational wave demodulator | 11 | 268,908 | [
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improving text persona genesis using modal value seeking function productive adversarial network gans long used understand semantic relationship text image however problem mood burst image generation ground prefer output mode aim improve training net using specialized mode seeking loss function avoid issue text trope synthesis loss social function tell two point latent space generation distinct range function validate model caltech bird cub dataset microsoft coconut dataset switch intensity level loss function grooming experimental result demonstrate model work well compare state fine art approach | 3 | 194,493 | [
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learning discretize solving scalar conservation law via deep reinforcement learning conservation law considered fundamental law nature broad application many field including physic chemistry biology geology engineering solving differential equation associated conservation law major branch computational mathematics recent success machine learning especially deep learning area computer vision natural language processing attracted lot attention community computational mathematics inspired many intriguing work combining machine learning traditional method paper first view numerical pde solver mdp use deep rl learn new solver proof concept focus dimensional scalar conservation law deploy machinery deep reinforcement learning train policy network decide numerical solution approximated sequential spatial temporal adaptive manner show problem solving conservation law naturally viewed sequential decision making process numerical scheme learned way easily enforce long term accuracy furthermore learned policy network carefully designed determine good local discrete approximation based current state solution essentially make proposed method meta learning approach word proposed method capable learning discretize given situation mimicking human expert finally provide detail policy network trained well performs compared state art numerical solver weno scheme supervised learning based approach ld pinn well generalizes | 2 | 1,428,741 | [
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emergence heavy quark spin symmetry multiplet seven molecular pentaquarks light latest lhcb analysis recent analytic thinking lhcb collaboration suggest existence three narrow pentaquark like state alternatively one premature analysis closeness threshold one suggests molecular interpretation plangency show three pentaquark like resonance naturally accommodated contact range effective field honor theory description incorporates heavy quark spin symmetry verbal description lead prediction seven possible wave heavy antimeson baryon molecule four extra molecular pentaquarks addition providing first good example expectant quark spin symmetry molecular multiplet complete confirmed give telling example application toilsome quark cheese correspondence effectual field possibility hadron physic also uncover clear powerful consecrate rule molecular spectrum reminiscent su flavor multiplets abstemious hadron spectrum conforms | 7 | 1,695,878 | [
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statistical signature vortex filament classic turbulence dog tail title paper echo title paragraph famous book frisch classical turbulence relevant chapter author discus role statistical dynamic vortex filament fascinating problem turbulence possibility breakthrough constructing advanced theory aspect arose due large amount evidence experimental numerical vorticity field turbulent flow pronounced filamentary structure fact unquestionably strong relationship dynamic chaotic vortex filament turbulent phenomenon however question arises whether basic property turbulence cascade scaling law etc consequence dynamic vortex filament dog concept whether latter marginal significance tail concept based well established result regarding dynamic quantized vortex filament superfluids illustrate dynamic lead main element theory turbulence cover key topic exchange energy different scale possible origin kolmogorov type spectrum free decay behavior | 2 | 1,439,597 | [
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free energy node embedding via generalized skip gram negative sampling widely established set unsupervised node embedding method interpreted consisting two distinctive step definition similarity matrix based graph interest followed ii explicit implicit factorization matrix inspired viewpoint propose improvement step framework one hand propose encode node similarity based free energy distance interpolates shortest path commute time distance thus providing additional degree flexibility hand propose matrix factorization method based loss function generalizes skip gram model negative sampling arbitrary similarity matrix compared factorization based widely used loss proposed method better preserve node pair associated higher similarity score moreover easily implemented using advanced automatic differentiation toolkits computed efficiently leveraging gpu resource node clustering node classification link prediction experiment real world datasets demonstrate effectiveness incorporating free energy based similarity well proposed matrix factorization compared state art alternative | 0 | 49,969 | [
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beamspace channel estimation massive mimo mmwave system algorithm vlsi design millimeter wave mmwave communication combination massive multiuser multiple input multiple output mu mimo enables high bandwidth data transmission multiple user time frequency resource strong path release wave propagation high frequency necessitates accurate channel state information ensure dependable data transmission project novel channel approximation algorithm called beamspace channel estimation beach leverage fact wave propagation mmwave frequency predominantly directing beach adaptively denoises communication channel vector beamspace domain using adaptive shrinkage procedure relies stein unbiased risk infection estimator sure pretense result railway line sight los non los mmwave channel reveal beach performs par state art channel estimation method need order magnitude lower complexness demonstrate effectiveness beach pattern acquire large scale integration vlsi architecture provide field programmable gate array fpga execution outcome result appearance adaptive channel denoising performed high throughput hardware friendly manner monolithic mu mimo mmwave system hundred antenna | 3 | 121,918 | [
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equilibrium arbitrary bunch train presence multiple resonator wake field higher harmonic cavity hhc used cause bunch lengthening increase touschek lifetime feature several fourth generation synchrotron light source desired bunch lengthening complicated presence required gap bunch train recent paper author venturini studied effect various fill pattern calculating charge density equilibrium state coupled haissinski equation assumed collective force beam loading wake field harmonic cavity lowest mode present paper improves notation organization equation allow easy inclusion multiple resonator wake field allows one study effect beam loading main accelerating cavity higher order mode cavity short range geometric wake represented low resonator example effect explored al compensation induced voltage main cavity achieved practice feedback system modeled adjustment generator voltage new iterative scheme except case complete fill compensated main cavity beam loading substantial effect bunch profile touschek lifetime resonator approximating effect realistic short range wake also consequential bunch form | 2 | 1,378,733 | [
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dirac born infeld realization sound speed resonance mechanism aboriginal black hole present concrete realisation sound speed resonance ssr mechanism primordial black hole pbh constitution within specific model dirac born infeld dbi inflation perform perturbative approach phenomenologically construct viable dbi inflation model need nonoscillating stage oscillating stage type specific form deflection constituent potential show uninterrupted nonsmooth conjunction sound speed two stage yield manifest essence phenomenology ssr thus model give rise pbh mass spectrum original prediction ssr additionally besides demonstrate violation adiabaticity mukhanov sasaki equating affect comoving curve perturbation hubble crossing nonresonant area fashioning use observational data point derive versatile cosmogenic constraint parameter space analysis show predicted tensor scalar proportion typically little amplitude primordial non gaussianity sport meeting cosmic microwave background bandaged additionally consistency relation single field ho hum roll splashiness softly violated case referable small sound speed variation | 11 | 253,266 | [
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hadronic light swooning contribution lattice qcd ended calculation compute hadronic light light scattering contribution muon unknown quark sphere directly using latticework qcd figuring feature valuation possible wick contraction relevant hadronic four point function incorporates respective dissimilar pion mass volume lattice spacing receive value adding statistical taxonomic erroneous belief quadrature consistent current phenomenological estimate previous lattice decision appear conclusive hadronic lighting light part cannot explicate current tension possibility experiment muon | 19 | 453,446 | [
2,
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internal calibration process using chirp pulse application adam learning algorithm propose new internal calibration process using chirp pulse method utilized mitigate thermal drift unwanted change usually occurs active element high power amplifier low noise amplifier proposed method advantage two distinct aspect calibration signal algorithm respect calibration signal method contain additional signal source chirp pulse normally used remote sensing used calibration signal moreover method solve ambiguity problem analyzing phase shift occurs sinusoidal signal used calibration signal regard algorithm adam learning algorithm avoids learning wrong direction unlike conventional gradient descent using method mathematical form received signal acquired successfully method show better effectivity compared conventional gradient descent algorithm compensation maximum difference gain phase become db degree respectively | 3 | 111,848 | [
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robust output feedback vfo adr control underactuated spatial vehicle task following non parametrized path article headache development transmitter field study preference active disturbance rejection vfo adr cascade path following controller underactuated vehicle moving dimensional space proposed concept cascaded control structure decouple system kinematics system dynamic resembling coming utilized nonholonomic system thanks use adr control approach active level controller proposed control structure robust even significant model uncertainty external perturbation application mistake based form gallop state percipient eso implemented within adr inner loop controller implies output feedback characteristic controller social structure ie berth attitude vehicle body expected measured kinematic level controller designed fit vfo method employ non parametrized path theatrical calculate commanded velocity description proposed control construction followed theoretical analysis utilise input state stableness ace theorem simulation check proposed solution | 3 | 111,347 | [
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wickop grille cubic gyration manipulator author text file outline utilization series python script design advantageously efficiently establish chemical compound manipulator accomplished computing tensor mathematical product belittled construction pulley stoppage transform irreducibly lattice three dimensional rotational translational symmetry special code power handle representation cubic revolution mathematical group spatial momentum key paradigm course momentum separately rotation fully utilizing abelian social organization translation subgroup run wigner footling group method classify subgroup rotation leave momentum direction unaltered using little group circumvents issue volume ingredient number representation matrix needed instead requiring cubic rotary motion histrionics ground substance tensor intersection figure character table clebsch gordan coefficient bring vector decomposition tensor product code also build operator coherent base insure operator transform representation holding | 19 | 463,640 | [
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3
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] |
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