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it follows that it is indeed sufficient to provide the transition probabilities from the left boundary vertices for positive nl only .

if nl and nr are both nonnegative , then it only remains to specify the transition probabilities from the boundary vertices .

when the kinetic energy is a positive definite quadratic form , this map is a diffeomorphism .

because the kinetic energy is the same for all electrons and holes in the lowest landau level , bec at strong fields is just as likely to occur in electron-electron bilayers as in electron-hole bilayers .

in section 2 , we briefly recall the definition of a vertex algebra and our main object , lattice vertex algebras .

we recall the definitions of vertex operator algebras and their modules in this section .

we consider a periodic arrangement of infinitely long superconducting strips in the bean critical-state , where an exact solution was obtained by mawatari .

for an infinitely high stack of equally spaced strips obeying the bean critical-state model an analytical solution was found by mawatari .

our general approach follows wang et al , which is a state of the art method for learning a similarity metric between images .

this process follows wang et al , which is a state of the art method for learning a similarity metric between images .

deep neural networks have achieved excellent performance in many areas , such as computer vision , speech processing , and language modelling .

neural networks are revolutionizing numerous fields including image and speech recognition , language processing , and robotics .

previous work in the field of browser fingerprinting was based on analyzing the javascript behavior of browsers .

previous work in the field of browser fingerprinting was based on analyzing the javascript behavior of a browser .

in principle , on the quasi-particle mass shell the gap parameter is an observable quantity , and thus must be independent of the choice of gauge .

the identity implies that , on the quasi-particle mass shell , the gap function and the quasi-particle dispersion relation are independent of the gauge parameter in covariant gauge up to subleading order .

to the laplacian is the laplacian of a massless scalar field with an arbitrary endomorphism .

however , because the laplacian is a scalar and thus spherically symmetric , it can not produce a torque on our pendulum .

random walks in complex networks have been heavily studied in the past years .

as a paradigmatic transport process , random walks on complex networks have been intensively studied .

generalized complex geometry , oxford dphil thesis .

new aspects of the ddc-lemma , oxford dphil thesis .

in addition , we apply dropout to the non-recurrent layers in our lstm network .

besides l 2 regularization , we also use dropout to reduce overfitting .

mnih et al proposed a deep qnetwork that combines q-learning with a flexible deep neural network .

mnih et al proposed the deep q-network architecture which learns to estimate q-values using deep neural networks .

recently , deep neural network based methods have lead to breakthroughs in several vision tasks , such as classification .

deep convolutional neural networks have successfully revolutionized various challenging tasks , eg , image classification .

we use batch-normalization to estimate the uncertainty of super-resolution network .

additionally , we use batch-normalization to regularize the network .

however , the quantum computer is a theoretical construct currently .

such a computer consists of a number of processors connected together in a network .

the cms detector response for generated events is simulated using geant4 , which aims to reconstruct and identify each individual particle in an event , with an optimized combination of information from the various elements of the detector .

the particle-flow event algorithm reconstructs and identifies each individual particle with an optimized combination of information from the various elements of the cms detector .

it was shown in that , under list-decoding , polar codes can achieve remarkably good performance at short code lengths .

for polar codes , it was shown in that a performance close to the one of an maximum likelihood decoder can be attained with a sufficiently large list size .

hence the q-operator is the cpm transfer matrix in , however the degenerate forms are necessarily included .

the transfer chiral-potts matrix arises as the q-operator of the corresponding τ -matrix .

the residual connection makes gradient propagation more fluent , allowing training deeper networks .

they improve the back-propagation of the gradient to the bottom layers , thus easing the training on very deep networks .

cosmic strings are topologically stable gravitational defects which may have been created in the early universe after planck time by a vacuum phase transition .

cosmic strings are a special kind of topological defects , which could have been formed in a symmetry breaking phase transition in the early universe .

for synthesis network , we follow the fully convolutional bottom-up approach .

using previous work , we augment the encoder network with the bottomup refinement approach .

the idea gained widespread recognition with the bb84 quantum key-exchange protocol by bennett and brassard .

a quantum version of the protocol was invented by bennett and brassard .

perfectly matched layers are absorbing boundary conditions commonly used for this purpose .

this treatment is equivalent to the use of perfectly matched layers .

dislocations are line defects that play a central role in the mechanical deformation behavior of crystalline solids .

dislocations are linear defects whose motion is responsible for plastic deformation in crystalline materials .

there are many types of neural networks , such as multilayer perceptrons , convolutional neural networks and recurrent neural networks .

recently , many studies have explored various deep neural networks such as convolutional neural networks or recurrent neural networks .

moreover , because wt 0 , the tachyon is a natural candidate for dark energy and inflation .

thus , the tachyon is the unique field of level 0 , the gauge field aµ is the unique field of level 1 , etc .

non-orthogonal multiple access is a promising multiple access technique for 5g networks which has the potential to address the issues associated with the exponential growth of data traffic such as spectrum scarcity and massive connectivity .

recently , non-orthogonal multiple access has drawn significant attention in both industry and academia as a promising multiple access technique for the fifth-generation wireless newtworks .

in this case , we can describe empty spacetime but we must add matter ad hoc .

in general case , we can not determine this structure unambiguously .

the cable trays can be disconnected from the cradle and chamber stack when the detectors need to be moved out of the experimental area for service or tests .

these cable trays are removable , to allow removal of the cradle and detectors from the seven racks of readout electronics and other services .

since the beams consist of discrete bunches of particles , the size of the luminous region is defined by the size of the bunches .

since each of the two entangled beams is a noisy channel , they need to be recombined in order to decrypt the message .

theory of recursive functions and effective computability .

stability , simplicity and the model theory of bilinear forms .

the first term on the right-hand side of eq .

the first integral on the right-hand side of eq .

answer failed to answer image vanishes image becomes less sharp image becomes bigger image becomes darker image does not change image upside , not upside down .

answer failed to answer image vanishes image becomes less sharp image becomes half image does not change image upside , not upside down image becomes darker .

the categories thus obtained can be shown to be equivalent to the representation categories of the corresponding quantum groups .

now , the wzw categories coincide with the representation categories of quantum groups at root-of-unity deformation parameter .

since unitarity is a concept in minkowski space only , violation of hermiticity of a euclidean action poses no problem .

thus , unitarity is a serious consideration .

the proposed learning framework is implemented using pytorch library .

the neural network architecture are implemented using pytorch framework .

this model is generally referred to as the double degenerate .

this sn ia model is known as the single degenerate model .

among these are proofs of the positivity of transport coefficients , whose hydrodynamic version eq .

among these are proofs of the positivity of transport coefficients whose hydrodynamic version is given below , eq .

in order to apply the local lemma in a constructive manner , we resort to a recent result by moser and tardos .

we build on the constructive proof of the local lemma by moser and tardos .

the incident wave packet is linearly polarized .

the wave packet propagates in the direction of positive z .

the research in this paper is built upon the existence results for solitons in semi-linear wave equations given in .

see also , the method in this paper has an application to the system of quasi-linear wave equations with quadratic nonlinear terms in 2d .

cognitive radio is an emerging paradigm for efficiently exploiting the limited spectral resources .

dynamic spectrum access is one of the most important applications of cognitive radio .

convolutional neural networks are the state of the art in image classification problems .

recently , convolutional neural networks have been effectively applied to image classification .

the shanghaitech dataset contains 1198 annotated images with a total of 330,165 persons .

the shanghaitech dataset consists of 1198 images , with 330,165 annotated people .

density-functional calculations were performed in the vasp pseudo-potential code utilizing the projectoraugmented wave method .

these calculations were performed within the local-density approximation to dft , without modeling the stm tip code .

as described in the introduction , to compute this false alarm rate , it is typically assumed that the residuals are independent .

to compute this false alarm rate for classic anomaly detectors , it is typically assumed that the residuals are independent .

convolutional neural networks have shown its great effectiveness in computer vision tasks .

convolutional neural networks have achieved superior performance in many visual tasks , such as object detection and segmentation .

deep neural networks play an increasingly central role in a wide variety of state of the art machine learning applications .

convolutional neural networks have been instrumental to the recent breakthroughs in computer vision .

for policy-gradient , we use the clipped-surrogate based ppo algorithm .

we use a policy gradient algorithm , proximal policy optimization , described previously .

convolutional neural networks have seen tremendous success across different problems including image classification .

deep learning or deep neural networks have achieved extraordinary performance in many application domains such as image classification .

given its similarity with an stp , we refer to a convex scsp as an ssp .

given its similarity to an stp , we refer to a convex scsp as an ssp .

convolutional neural networks have achieved great success in grid structure data such as image and video .

large-scale deep neural networks or dnns have made breakthroughs in many fields , such as image recognition .

positrons were detected following chemical separation .

decay and absorption curves were measured following chemical separation .

however , this is not generally true since jorgensen recently found two non-isomorphic mixed moore graphs of diameter 2 , out-degree 7 , undirected degree 3 and order 108 .

however , this is not generally true sincejorgensen recently found two non-isomorphic mixed moore graphs of diameter 2 , out-degree 7 , undirected degree 3 and order 108 .

deep convolutional neural networks have achieved dramatic accuracy improvements in many areas of computer vision .

recently , deep learning methods have made remarkable progress in computer vision and machine learning .

additionally , danelljan et al exploit fast scale pyramid estimation to deal with scale variations .

danelljan et al proposed a separable scale filter based on a scale pyramid representation to estimate the scale variation of target .

fu et al propose a recurrent attention convolutional neural network for fine-grained recognition , which recursively learns discriminative region attention and region-based feature representation at multiple scales .

fu et al introduce a recurrent attention convolutional neural network which recursively explores discriminative spatial regions and harvests multi-scale region based features for fine-grained image recognition .

the modification is a chern-simons term that does not exist in even dimensions 1 as due to the coupling of the 4-d bulk theory to a defect 3-d cft .

the simplest modification is a noncovariant frequency cutoff .

while gans have been applied to the image super-resolution frame in numerous ways , they have not been applied to the problem of video super-resolution yet .

while gans have been applied to the image super-resolution in numerous ways , they have not been applied to the problem of video super-resolution yet .

the xavier initialization was implemented to randomly initialize the weights of the convolution kernels .

the xavier initialization method is used to initialize the weights for the first subproblem .

moreover , we apply a batch normalization layer before each convolutional layer to improve the training speed and overall accuracy .

we also use batch normalization after each convolutional layer and before the relu layer .

convolutional neural networks have achieved great success on visual recognition tasks .

deep neural networks have significantly improved the state of the art on many supervised tasks .

therefore , we apply batch-normalization to the output activations of the layer to alleviate this problem .

in order to mitigate this effect , we use spatial batch normalization at each layer .

we refer to and references cited therein for some early works on this subject .

we refer to and references cited therein for some early works in this respect .

a quiver a is a finite oriented graph with no oriented cycles .

a quiver is a finite directed graph q , consisting of a finite set of vertices q0 and a finite set of arrows q1 between them .

deep convolutional neural networks have become wider and deeper to achieve high performance on different applications .

in recent years , deep neural networks have been applied to many areas and have achieved huge success in different domains such as image classification .

in this paper , we propose a novel market mechanism to price the the energy , uncertainty , and flexibility simultaneously based on the rscuc in .

in this paper , we propose a novel mechanism to price the energy , uncertainty , and flexibility simultaneously based on the ruc in .

we demonstrate improved results using our approach for person detection on the pascal voc dataset .

we empirically evaluate our localization models on pas-cal voc detection challenge .

we can only illustrate this situation by examples .

however we illustrate this concept by the following example .

exchange-correlation was considered within the generalized gradient approximation , as proposed by perdew , burke , and ernzerhof .

the generalized gradient approximation of perdew , burke and ernzerhof was employed for the exchange-correlation potential .

experiments with different levels of noise .

experiments with different numbers of modes .

algorithm for the multiterminal cut problem has been proposed in .

an algorithm with a significantly improved runtime has been proposed in .

collective cell migration is crucial to many physiological and pathological processes such as tissue regeneration , immune response and cancer progression .

collective cell migration in a complex micro-environment is crucial to many physiological and pathological processes including tissue regeneration , immune response and cancer progression .

for instance , candes et al proposed a form of robust principal component analysis by introducing an additional sparse matrix to model the outliers .

for instance , candes et al proposed a form of robust principal component analysis by modeling outliers using a sparse matrix .

however , rather surprisingly , certain ensembles exist consisting of unentangled states that can not be distinguished optimally using locc .

there exist sets of orthogonal product states that can not be discriminated perfectly by locc .

however , the commonly used cnn models such as alexnet have a huge number of parameters , and their performance heavily depends on the availability of a large number of labeled training examples .

current commonly used cnn architectures such as alexnet have large numbers of parameters that require vast amounts of training data to achieve reasonably good performance .

fe doped samples show ferromagnetic behavior at room temperature .

measurements reveal room temperature ferromagnetic behavior in fe doped .

the dark square denotes the connected four-point function .

the dark shaded square denotes an insertion of the weak vertex , hλ from eq .

such a genotype is a called the wild-type .

the genotype is the genetic constitution of an individual .

this strongly suggests that friction is the primary cause of heat dissipation in the rotator , which is expected given the nature of the inertial drive mechanism by which the rotator operates .

friction is the only limitation for the predictability of the system .

hove et al observed that when inflow and outflow tracts are obstructed in 37 hpf zebrafish , peristaltic myocardial contractions continue to persist and neither valvulogenesis , cardiac looping , nor chamber ballooning occur .

hove et al observed that when inflow and outflow tracts are obstructed in 37 hpf zebrafish , regular waves of myocardial contractions continue to persist and neither valvulogenesis , cardiac looping , nor chamber ballooning occur .

zavertyaev , for the hera-b collaboration , these proceedings .

zhang , for the belle collaboration , these proceedings .

the dimension of the coherent component is also invariant under seiberg duality .

for chiral four dimensional theories the master space is not isomorphic among seiberg dual phases .

front propagation in complex fluid flows arises in many scientific areas such as combustion , population growth of ecological communities in the ocean .

front propagation in complex fluid flows arises in many areas of science , including combustion , growth of populations in the ocean .

furthermore , this foliation is a riemannian foliation whose transverse metric coincides with the metric of v .

a foliation is a lamination for which the union of the leaves is all of m and a geodesic lamination is a lamination whose leaves are geodesics .

the most common approach for quantifying probabilities are bayesian networks .

the most widely used probabilistic models are perhaps bayesian networks and markov networks .

effect algebras and unsharp quantum logics .

effect algebras and para boolean manifolds .

we can further assume that the meaning of a short text can be captured by averaging the representations of its words .

we can further assume that the meaning of a text can be captured by averaging the representations of its words .

e matrix elements of the chromoelectric dipole and the weinberg operator are estimated using qcd sum rules and chiral techniques .

e matrix elements of the chromoelectric dipole operator are estimated using qcd sum rules and chiral techniques .

reinforcement learning is a promising adaptive decision-making method in many fields .

reinforcement learning is a powerful algorithmic paradigm encompassing a wide array of contemporary algorithmic approaches .

the ionelectron interaction was treated using the projector augmented wave .

the interactions between valence electrons and ionic were treated within the projector augmented wave basis .

on the complexity side , it has been shown that it is ppad-complete to compute a nash equilibrium , even for bimatrix games .

it has recently been shown that the famous problem of finding a nash equilibrium in a bimatrix game is ppad-complete .

as was noted in section 1 , one of the most interesting classes of matrices for which the finiteness conjecture holds , both for the generalized and lower spectral radius , is the so-called class of non-negative matrices with independent row uncertainty .

one of the most interesting classes of matrices for which the finiteness conjecture is valid , for both the generalized and the lower spectral radius , is the so-called class of non-negative matrices with independent row uncertainty .

fan et al introduced point clouds as an output representation for 3d reconstruction .

fan et al use point clouds to reconstruct 3d objects from a given image .

convolution-based deep neural networks have performed exceedingly well on 2d representation learning tasks .

convolutional neural networks have proved their dominating spot in various machine learning tasks , such as speech recognition .

the batter with the fifth highest scoring index should bat first , second or between the fifth and seventh positions .

the batter with the second highest scoring index should bat between the first and fifth positions .

the instability is the signature to a phase transition into a state with coherent radiation .

this instability is the precursor of a structural transition and prevents the direct evolution from a distorted to an undistorted cubic structure .

later , meeks and rosenberg generalized this result to complete , embedded minimal surfaces with positive injectivity radius in r 3 in .

based on the proof of this result , meeks and rosenberg showed that complete , connected minimal surfaces with positive injectivity radius embedded in r 3 are proper .

the security of their scheme relies on the dcr assumption and as a result , in the security reduction they can remove a factor which is cubic in the number of users .

the security of their scheme relies on the decisional composite residuosity assumption and as a result , in the security reduction they can remove a factor which is cubic in the number of users .