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this is the only vacuum in the regular region of these coordinates , because the metric is regular there . | this is the unique vacuum in the finite region of these coordinates where the metric is regular . |
recent studies on generative adversarial networks have achieved impressive success in generating images . | first proposed by in 2014 , generative adversarial networks have been quite successful at generating realistic images . |
multi-task learning has proven effective in many computer vision problems . | multi-task learning has recently been employed in image classification . |
the iib matrix model is a convincing candidate of non-perturbative type iib superstring theory . | a large n reduced model has been proposed as a nonperturbative formulation of type iib superstring theory . |
cross approximation is a basic reduction technique for the approximation of large low-rank matrices . | cross approximation is an iterative matrix approximation technique . |
weitsman , the cohomology rings of symplectic quotients . | kogan , localization theorems by symplectic cuts . |
the classical limit for quantum mechanical correlation functions . | the classical field limit of nonrelativistic bosons . |
the theory of coherent sheaves over weighted projective lines is due to geigle-lenzing . | indeed , the theory of coherent sheaves on the weighted projective lines of tubular type was constructed by geigle and lenzing in . |
generalized spatial dirichlet process models . | variational inference for dirichlet process mixtures . |
secondly , the critical eigenvalue of the state matrix can be used as a measure of proximity to instability as discussed in extensive literature . | for instance , the critical eigenvalue of the state matrix can be used as a measure of proximity to instability as discussed in extensive literature . |
this fact is known in field theory on curved spaces as an instance of conformal triviality . | this anomaly is relevant for the applications of quantum field theory on curved spacetime . |
the scale rotation is modeled as a linear torsional spring which rotates about a fixed point . | accordingly , the scales rotation is modeled as a linear torsional spring . |
in effect , academic recruitment is often described as an informal process , in which a few powerful professors promote or select new professors through mechanisms of cooptation . | in effect , academic recruitment is often reported as an informal process in which a few powerful professors select new ones through cooptation mechanisms . |
these points are in the first brillouin zone shown in the inset . | these points are in the first brilp louin zone shown on the right of the figure . |
in particular , the random code capacity region is not necessarily achievable using deterministic codes . | in particular , the divided-randomness capacity region is not necessarily achievable using deterministic codes . |
powerful deep neural networks have been created and investigated for high-level computer vision tasks such as image classification . | deep neural networks have achieved significant improvements in many computer vision tasks . |
the physical basis of this assumption is a spatial finiteness of the many-nucleon system . | the physical basis for this assumption is the general uniformity of h ii region abundances in dwarf galaxies . |
we use a generative advasarial network to model the stochastic distribution . | to build such a generator we use a generative adversarial network structure . |
the deep learning models are trained by using the adam optimizer . | the network is trained using the adam optimizer over the ccc metric . |
for example , donahue et al propose long-term recurrent convolution network for activity recognition and video captioning . | donahue et al combine convolutional layers and long-range temporal recursion to propose long-term recurrent convolutional networks for visual recognition and description . |
the multi-column deep neural network was the first cnn used for hccr . | the multi-column deep neural network , composed of several cnns , was the first cnn used for hccr . |
the cms particle-flow event algorithm reconstructs and identifies individual particles with an optimized combination of information from the various elements of the cms detector . | events are processed using the particle-flow algorithm , which is designed to reconstruct and identify all particles using the optimal combination of information from the elements of the cms detector . |
hd 168076 hd 168076 is a member of the young open cluster ngc 6611 which we use in this analysis . | hd 161796 hd 161796 is a high galactic latitude f3 ib supergiant . |
in , goodfellow et al proposed the fast gradient sign method for generating adversarial samples . | goodfellow et al introduced the fast gradient sign method to find adversarial perturbations . |
our aim in the remainder of this subsection is to clarify when these frobenius algebras are canonical . | the aim of the next two subsections will be to show how frobenius algebras arise in category theory and subfactor theory . |
the ssb of laser beams coupled into an effective transverse dwp created in the self-focusing photorefractive medium was demonstrated in ref . | on the other hand , the ssb of laser beams coupled into an effective transverse dwp created in a self-focusing photorefractive medium has been demonstrated in ref . |
all the convolutional layers , apart from the last one , are followed by batch normalization units . | every convolutional layers are followed by a batch normalization layer and a relu . |
li et al proved that for a multicast session , symbol-wise linear algebraic coding over a finite field is always sufficient . | li et al further showed that linear network coding with finite alphabet size is sufficient for this multicast . |
now we can define substructures in interval polynomial semirings . | we can define substructures and special elements in group interval semirings . |
it is an experimental fact that the bosons do not show generational behavior . | this is because the bosons do not show generational behavior . |
the physics objects are jets , clustered using the jet finding algorithm with the tracks assigned to the vertex as inputs , and the associated missing transverse momentum , taken as the negative vector sum of the p t of those jets . | the physics objects are the objects reconstructed by a jet finding algorithm applied to all charged particle tracks associated with the vertex and also the corresponding missing transverse momentum . |
welded knotted objects first appeared in a work of fenn-rimanyi-rourke in the more algebraic context of braids . | these welded knotted objects first appeared in a work of fenn-rimanyi-rourke in the more algebraic context of braids . |
compact examples of manifolds with holonomy g 2 were obtained first by joyce . | complete examples of riemannian 7-manifolds with holonomy g 2 were constructed by bryant and salamon . |
deep neural networks have been widely applied and achieved state-of-art performance on a variety of tasks including image recognition . | recently , deep neural networks have substantially improved the state-of-the-art performances of various challenging classification tasks , including image based object recognition . |
liu , electromagnetic fields in ferrofluids , phys . | liu , shear excited sound in magnetic fluid , phys . |
in recent years , deep convolutional neural networks have been shown to be exceptionally effective for image classification . | specifically , convolutional neural networks have shown their powerful abilities on image representation . |
the ergodic hypothesis implies the difference between two subactions is always constant in the set π 1 , . | the ergodic hypothesis implies the difference between two subactions is always constant on the set π 1 , . |
without loss of generalization , we compare our proposed algorithm with two main-stream baselines trained using neural networks , u-net . | we compare performance of the proposed architecture for the per-pixel classification task at hand with two well-adopted cnns for segmentation , fcn-8 . |
deep neural networks have been significantly successful in many artificial intelligence tasks such as im- age classification . | convolutional neural networks have achieved significant progress in computer vision tasks such as image classification . |
these modulated standing virtual waves form the virtual replica systems . | the interference of bivacuum reference waves with the object waves forms the primary virtual replica . |
string theory is a central candidate , with the feature that the assumptions underlying the cpt theorem are invalid for strings , which are extended objects . | however , string theory is a theory which is still under construction . |
the rp sterile neutrino parameters required to produce this signal have been recently calculated . | the sterile neutrino parameters required to produce this signal have been recently calculated . |
recent work has shown the benefits of rdma for specific relational operators and key-value stores . | recent research has shown the benefits of rdma for specific operators and key-value stores . |
since f -gravity is a gauge theory , like general relativity , it is crucial the choice of suitable coordinates in order to correctly formulate the problem . | since gravity is the universal force which couples to all energy sources , the decay of the inflaton is necessarily 3 accompanied by non-thermal emission of kk gravitons with masses comparable to mφ . |
moreover , because the jced factor graph is loopy , even non-approximate spa is not guaranteed to yield the correct output distributions , because exact inference is np hard . | due to the cycles within the factor graph , exact inference is np-hard , and so we settle for approximate mmse inference . |
for cub dataset , we use cnn-rnn textual features as class attributes , similar to the approaches mentioned in table 5 and 2 . | for textual stream , we apply cnn-rnn as the text encoder to learn a correspondence function with images . |
generative adversarial networkis a generative model composed of two neural networks which are trained in opposite directions . | a generative adversarial network consists of two neural networks trained in opposition to each other . |
deep convolutional neural networks have recently shown immense success for various image recognition tasks , such as object recognition . | deep neural networks have achieved impressive accuracy in many application domains such as image classification and localization , object detection , speech recognition and video classification . |
very close analogues of x i in h n are used in where they represent the murphy operators . | the element p m is used in for describing the mth power sum of the murphy operators in h n , independently of n . |
the segmentation part of our model is a modified version of the u-net architecture . | the first part of our network loosely follows the idea of an autoencoder with the u-net architecture . |
the monoid m is a group if and only if each mapping in m is a bijection . | we say that a monoid m is a gaussian monoid if it is atomic , gcd definition 2 point 3 . |
in 1994 peter shor developed a polynomial time quantum algorithm for factoring integers and solving discrete logarithm problems . | in 1994 , peter shor described an efficient , polynomial time , quantum algorithm for the discrete logarithm problem . |
recently , deep convolutional neural networks has been successfully applied for tracking . | representative methods include convolutional neural networks based trackers . |
we use the following five real dtns data-sets gathered by over almost two years , referred to as kaist , ncsu , new york city , orlando and north carolina state fair . | we use the following three real data-sets gathered by , referred to as north carolina state fair , ncsu , and kaist . |
while the axion is a priori a goldstone boson of the spontaneously broken peccei-quinn symmetry u p q , qcd instanton effects induce an axion potential with residual zn symmetry . | axion is a possible candidate of light particle and might show the long-distance interference phenomenon . |
the face from each frame of videos was automatically detected using viola and jones face detection algorithm . | the face from each frame of videos was automatically detected using the viola and jones face detection algorithm . |
batch normalization and leaky relu activations are applied after every convolution . | batch normalization is applied right after each convolution and before the activation following . |
normalized cut is a common objective in the context of spectral clustering . | spectral clustering is a standard application of spectral embedding . |
the em algorithm is the canonical algorithm to use in the case of unobserved variables . | in this case we can use the hard em algorithm for parameter estimation with latent variables . |
for comparison , we obtained null distributions from 100 random networks with equivalent degree and strength distributions 29 . | for comparison , we constructed benchmark distributions from 100 random networks with equivalent size , degree distribution , and strength distribution 19 . |
since f is non-convex and only lipschitz differentiable away from zero , convergence analysis of admm in this case is beyond the current theory . | since f is non-convex and only lipschitz differentiable away from zero , convergence analysis of admm is beyond the current theory . |
optical quantum computation using clus ter states . | ensemble quantum computing by nmr spectroscopy . |
to train a thinner and deeper student network using kd , romero et al propose hint training that trains a hidden layer with a convolutional regressor . | in romero et al , the approach uses knowledge distillation with an intermediate hint layer to train a thinner but deeper student network containing fewer parameters to outperform the teacher network . |
to mitigate this effect , charged candidates associated with vertices other than the primary one are discarded from clustering , and an offset correction is applied to the p t of the jet to subtract the remaining contributions . | to mitigate this effect , tracks identified to be originating from pileup vertices are discarded prior to the clustering , and an offset correction is applied to correct for remaining contributions . |
according to the brown-henneaux analysis , for generic ads 3 gravity theories the asymptotic symmetry group consists of two copies of the virasoro algebra corresponding to the two-dimensional conformal symmetry . | in the three dimensional asymptotic ads 3 cases , this symmetry algebra consists of two copies of virasoro algebra at the brown-henneaux central charge . |
convolutional neural networks have achieved state-of-the-art results on several computer vision tasks . | deep convolutional neural networks have been prevailed in various computer vision tasks , such as objection classification . |
a hopf algebra h in z2-mod is called a super hopf algebra . | a hopf algebra is a bialgebra h with an antipode s . |
in the present paper we give some basic theory of these maps . | here we give some basic theory for these maps . |
the residual learning framework fixes this problem and achieves precise classification . | the residual network model is selected for learning robust features and increasing its efficiency . |
recent progress in string theory has stimulated interest in solitons in noncommutative field theories . | there has recently been much interest , particularly from string theorists , in noncommutative geometry . |
the chirality is a variable whose absolute value corresponds to a volume of a parallelepiped spanned by three spins , and whose sign represents the handedness of the spin structure . | the chirality is a discrete vortices , which can have an arbitrary integer winding number . |
let us first study the hypersurface case more closely . | let us treat the first case exemplarily with more details . |
herwigver this variable must to be set equal to the name of the object file corresponding to the version of herwig linked to the package . | the former variable must be set equal to the object file name of the version of herwig currently adopted . |
the performance of visual scene recognition tasks has been significantly boosted by recent advances of deep learning algorithms . | visual recognition has made a significant progress due to the widespread use of deep learning architectures . |
convolutional neural networks have become the dominant approach for many computer vision tasks . | deep neural networks have shown remarkable success in many computer vision tasks such as image classification . |
following , we apply bn on the output of each convolutional layer before applying relu non-linearity . | we use batch normalization between each convolutional layer and which is followed by relu non-linearity . |
we adopt the 56-layer resnet as the feature extractor network where the dimension is 64 . | for a resnet architecture , we use the final pooling layer . |
examples of such kbs are freebase , wikipedia , google knowledge graph and yago . | examples of such kbs are freebase , yago and wikidata . |
these architectures learn hierarchical layers of representations to perform pattern recognition and have demonstrated impressive results on many pattern recognition tasks . | in recent years , the deep learning models like the cnns have been shown to achieve superior performance in numerous visual perception tasks . |
any other orbit consists of precisely one cofinality class . | this orbit is the innermost boundary of circular orbits for all particles . |
this higgs field is the remnant of the a0 field in the four-dimensional theory . | the higgs field is the a0 field of the 4d-theory , and therefore the number of degrees of freedom is conserved in this process . |
since nobody knows for sure what strategy is the best one , different approaches should be investigated . | since nobody knows for sure which strategy is the best one , different approaches should be investigated . |
more recently , convolutional neural networks have achieved unprecedented performance in a wide range of image classification problems . | convolutional neural networks have become a highly active area of research due to strong results in areas such as image classification , among others . |
the red , green and blue points show these different analyses using the true , elliptical and circular beams , respectively . | the dark and light blue points are from the analysis of the first data set , with the circular and elliptical beams respectively . |
qi extended some nice properties of matrices to higher order tensors . | qi extended some nice properties of symmetric matrices to higher order symmetric tensors . |
in the case thatt is approximately low-rank , one can instead compute only the top r singular values and singular vectors either using deterministic methods , such as lanczos bidiagonalization , at a reduced cost of oflops . | in the case that t is approximately low-rank , one can instead compute only the top r singular values and singular vectors either using deterministic methods , such as lanczos bidiagonalization , at a reduced cost of oflops . |
the free energy on t 4 is a function of the ratio r of the noncommutativity and r of the matrix size . | furthermore , the free energy is a concave function of the distance between the defects . |
deep convolutional neural networks are very successful at performing visual tasks such as image classification . | in recent years , deep convolutional neural networks have been shown to be exceptionally effective for image classification . |
cosmological inflation manifests itself as the most appealing scenario for solving the problems of the big bang initial conditions , namely , the flatness and horizon problems . | cosmic inflation is a plausible solution for the problems of the standard big bang scenario , such as the flatness and the horizon problems . |
for the office-31 and visda dataset , we utilize the resnet-50 with an embedding layer to represent the generator g . | for the rgb branch we use the convolutional layers of a pre-trained resnet-18 network . |
this suggests that controllability can be cast as a structural property of the graph defined by a and b , as captured in the graph-theoretic concept of structural controllability described by lin in . | the controllability property is thus at its core a structural property of the graph defined by a and b , as captured in the graph-theoretic concept of structural controllability described by lin in . |
finally , we show experimental results that confirm the theoretical predictions . | these theoretical predictions are confirmed by experimental results . |
solar , atmospheric , reactor and accelerator neutrino experiments have confirmed the existence of flavour oscillations of active neutrinos , implying that neutrinos have non-zero mass . | in the last decades , neutrino oscillation experiments have provided conclusive evidence that neutrinos have non-zero masses . |
jade alglave , daniel kroening , john lugton , vincent nimal , and michael tautschnig . | susmit sarkar , kayvan memarian , scott owens , mark batty , peter sewell , luc maranget , jade alglave , and derek williams . |
it is shown that all possible transitions can be described in terms of one universal invariant function whose explicit expression is lorenz structure dependent . | next , we show that all possible transitions can be described in terms of only one universal invariant function . |
szegedy et al showed that training on a combination of discovered adversarial examples and clean examples somewhat regularizes the deep neural network . | szegedy et al found that deep neural networks learn input-output mappings that are fairly discontinuous . |
yang et al represented person-specific and age-specific factors independently using sparse representation hidden factor analysis . | represented person-specific and age-specific factors independently using sparse representation hidden factor analysis . |
a distinctive example of this type of particles is the axion , which arises when the strong cp problem is solved through the pecceiquinn mechanism . | the prime example of this is the axion , a scalar particle originally proposed to explain the strong constraints on the existence of charge-parity violating terms in the strong nuclear force sector . |
guruswami and vardy later proved in that this problem applied to the family of reed-solomon codes is also np-hard . | when the error distance increases , guruswami and vardy showed that that maximum-likelihood decoding is np-hard for the family of reed-solomon codes . |
deep convolutional neural networks have shown tremendous success in a variety of computer vision tasks , such as image classification . | deep convolutional neural networks have been successful in many computer vision tasks including image classification . |