human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "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.

Includes members:
  Member "learning one hidden layer neural networks with landscape design":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "backward feature correction how deep learning performs deep learning")
  Member "beating the perils of non convexity guaranteed training of neural networks using tensor methods":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "no spurious local minima in deep quadratic networks")
  Member "globally optimal gradient descent for a convnet with gaussian inputs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "backward feature correction how deep learning performs deep learning")
  Member "recovery guarantees for one hidden layer neural networks":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "backward feature correction how deep learning performs deep learning")
  Member "theoretical insights into the optimization landscape of over parameterized shallow neural networks":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "backward feature correction how deep learning performs deep learning")
  Member "the power of sum of squares for detecting hidden structures":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "average case lower bounds for learning sparse mixtures robust estimation and semirandom adversaries")
  Member "fast and robust tensor decomposition with applications to dictionary learning":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "analysis of the optimization landscapes for overcomplete representation learning")
  Member "polynomial time tensor decompositions with sum of squares":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "efficiently learning structured distributions from untrusted batches")

Question: Please tell me which class the source paper 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)