human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "on the connection between learning two layers neural networks and tensor decomposition"
  Abstract: We establish connections between the problem of learning a two-layers neural network with good generalization error and tensor decomposition. We consider a model with input $\boldsymbol x \in \mathbb R^d$, $r$ hidden units with weights $\{\boldsymbol w_i\}_{1\le i \le r}$ and output $y\in \mathbb R$, i.e., $y=\sum_{i=1}^r \sigma(\left \langle \boldsymbol x, \boldsymbol w_i\right \rangle)$, where $\sigma$ denotes the activation function. #R##N#First, we show that, if we cannot learn the weights $\{\boldsymbol w_i\}_{1\le i \le r}$ accurately, then the neural network does not generalize well. More specifically, the generalization error is close to that of a trivial predictor with access only to the norm of the input. This result holds for any activation function, and it requires that the weights are roughly isotropic and the input distribution is Gaussian, which is a typical assumption in the theoretical literature. Then, we show that the problem of learning the weights $\{\boldsymbol w_i\}_{1\le i \le r}$ is at least as hard as the problem of tensor decomposition. This result holds for any input distribution and assumes that the activation function is a polynomial whose degree is related to the order of the tensor to be decomposed. By putting everything together, we prove that learning a two-layers neural network that generalizes well is at least as hard as tensor decomposition. It has been observed that neural network models with more parameters than training samples often generalize well, even if the problem is highly underdetermined. This means that the learning algorithm does not estimate the weights accurately and yet is able to yield a good generalization error. This paper shows that such a phenomenon cannot occur when the input distribution is Gaussian and the weights are roughly isotropic. We also provide numerical evidence supporting our theoretical findings.

Connected through hyperedge HE-1 (induced by source paper "taylorized training towards better approximation of neural network training at finite width"):
  with members:
    - "simple and effective regularization methods for training on noisily labeled data with generalization guarantee"
    - "beyond linearization on quadratic and higher order approximation of wide neural networks"
    - "tensor programs i wide feedforward or recurrent neural networks of any architecture are gaussian processes"
    - "harnessing the power of infinitely wide deep nets on small data tasks"
    - "enhanced convolutional neural tangent kernels"
    - "towards explaining the regularization effect of initial large learning rate in training neural networks"
    - "on exact computation with an infinitely wide neural net"
    - "fine grained analysis of optimization and generalization for overparameterized two layer neural networks"

Connected through hyperedge HE-2 (induced by source paper "no spurious local minima in deep quadratic networks"):
  with members:
    - "polynomial regression as an alternative to neural nets"
    - "universal approximation with quadratic deep networks"
    - "beating the perils of non convexity guaranteed training of neural networks using tensor methods"
    - "globally optimal gradient descent for a convnet with gaussian inputs"
    - "recovery guarantees for one hidden layer neural networks"
    - "theoretical insights into the optimization landscape of over parameterized shallow neural networks"
    - "convergence results for neural networks via electrodynamics"
    - "an analytical formula of population gradient for two layered relu network and its applications in convergence and critical point analysis"

Connected through hyperedge HE-3 (induced by source paper "revisiting landscape analysis in deep neural networks eliminating decreasing paths to infinity"):
  with members:
    - "towards moderate overparameterization global convergence guarantees for training shallow neural networks"
    - "on exact computation with an infinitely wide neural net"
    - "elimination of all bad local minima in deep learning"
    - "on the convergence of adaptive gradient methods for nonconvex optimization"
    - "on the optimization of deep networks implicit acceleration by overparameterization"
    - "learning one hidden layer neural networks under general input distributions"
    - "over parameterized deep neural networks have no strict local minima for any continuous activations"
    - "gradient descent finds global minima of deep neural networks"

Connected through hyperedge HE-4 (induced by source paper "sub optimal local minima exist for almost all over parameterized neural networks"):
  with members:
    - "an improved analysis of training over parameterized deep neural networks"
    - "towards moderate overparameterization global convergence guarantees for training shallow neural networks"
    - "depth creates no more spurious local minima"
    - "on connected sublevel sets in deep learning"
    - "small nonlinearities in activation functions create bad local minima in neural networks"
    - "learning one hidden layer neural networks under general input distributions"
    - "over parameterized deep neural networks have no strict local minima for any continuous activations"
    - "gradient descent finds global minima of deep neural networks"

Connected through hyperedge HE-5 (induced by source paper "robust and resource efficient identification of two hidden layer neural networks"):
  with members:
    - "deep neural network approximation theory"
    - "beating the perils of non convexity guaranteed training of neural networks using tensor methods"
    - "size independent sample complexity of neural networks"
    - "energy propagation in deep convolutional neural networks"
    - "towards evaluating the robustness of neural networks"
    - "finding a low rank basis in a matrix subspace"
    - "guaranteed non orthogonal tensor decomposition via alternating rank 1 updates"
    - "breaking the curse of dimensionality with convex neural networks"

Connected through hyperedge HE-6 (induced by source paper "on the convergence rate of training recurrent neural networks"):
  with members:
    - "can sgd learn recurrent neural networks with provable generalization"
    - "a generalization theory of gradient descent for learning over parameterized deep relu networks"
    - "non asymptotic identification of lti systems from a single trajectory"
    - "robust spectral filtering and anomaly detection"
    - "learning and generalization in overparameterized neural networks going beyond two layers"
    - "learning overparameterized neural networks via stochastic gradient descent on structured data"
    - "learning long term dependencies via fourier recurrent units"
    - "spectral filtering for general linear dynamical systems"

Connected through hyperedge HE-7 (induced by source paper "learning two layer rectified neural networks in polynomial time"):
  with members:
    - "complexity of training relu neural networks"
    - "learning one convolutional layer with overlapping patches"
    - "the computational complexity of training relu s"
    - "improved learning of one hidden layer convolutional neural networks with overlaps"
    - "learning two layer neural networks with symmetric inputs"
    - "learning one hidden layer neural networks with landscape design"
    - "beating the perils of non convexity guaranteed training of neural networks using tensor methods"
    - "learning relus via gradient descent"

Connected through hyperedge HE-8 (induced by source paper "decoupling gating from linearity"):
  with members:
    - "towards moderate overparameterization global convergence guarantees for training shallow neural networks"
    - "fine grained analysis of optimization and generalization for overparameterized two layer neural networks"
    - "a comparative analysis of the optimization and generalization property of two layer neural network and random feature models under gradient descent dynamics"
    - "learning and generalization in overparameterized neural networks going beyond two layers"
    - "overparameterized nonlinear learning gradient descent takes the shortest path"
    - "the global optimization geometry of shallow linear neural networks"
    - "a convergence analysis of gradient descent for deep linear neural networks"
    - "a convergence theory for deep learning via over parameterization"

Question: Please tell me which class the center node belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.LG(Machine Learning)