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: "the ising partition function zeros and deterministic approximation"
  Abstract: We study the problem of approximating the partition function of the ferromagnetic Ising model in graphs and hypergraphs. Our first result is a deterministic approximation scheme (an FPTAS) for the partition function in bounded degree graphs that is valid over the entire range of parameters $\beta$ (the interaction) and $\lambda$ (the external field), except for the case $\vert{\lambda}\vert=1$ (the "zero-field" case). A randomized algorithm (FPRAS) for all graphs, and all $\beta,\lambda$, has long been known. Unlike most other deterministic approximation algorithms for problems in statistical physics and counting, our algorithm does not rely on the "decay of correlations" property. Rather, we exploit and extend machinery developed recently by Barvinok, and Patel and Regts, based on the location of the complex zeros of the partition function, which can be seen as an algorithmic realization of the classical Lee-Yang approach to phase transitions. Our approach extends to the more general setting of the Ising model on hypergraphs of bounded degree and edge size, where no previous algorithms (even randomized) were known for a wide range of parameters. In order to achieve this extension, we establish a tight version of the Lee-Yang theorem for the Ising model on hypergraphs, improving a classical result of Suzuki and Fisher.

Connected through hyperedge HE-1 (induced by source paper "zeros and approximations of holant polynomials on the complex plane"):
  with members:
    - "fast algorithms at low temperatures via markov chains"
    - "counting perfect matchings and the eight vertex model"
    - "counting independent sets and colorings on random regular bipartite graphs"
    - "algorithms for bis hard problems on expander graphs"
    - "zeros of holant problems locations and algorithms"
    - "the complexity of approximating the matching polynomial in the complex plane"
    - "algorithmic pirogov sinai theory"
    - "approximability of the six vertex model"

Connected through hyperedge HE-2 (induced by source paper "spectral approximate inference"):
  with members:
    - "the mean field approximation information inequalities algorithms and complexity"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "variable elimination in the fourier domain"
    - "inapproximability for antiferromagnetic spin systems in the tree non uniqueness region"
    - "a new class of upper bounds on the log partition function"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-3 (induced by source paper "a deterministic algorithm for counting colorings with 2 delta colors"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "zeros of holant problems locations and algorithms"
    - "algorithmic pirogov sinai theory"
    - "improved bounds for randomly sampling colorings via linear programming"
    - "approximating the permanent of a random matrix with vanishing mean"
    - "an fptas for counting proper four colorings on cubic graphs"

Connected through hyperedge HE-4 (induced by source paper "zeros of ferromagnetic 2 spin systems"):
  with members:
    - "zeros of holant problems locations and algorithms"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "uniqueness spatial mixing and approximation for ferromagnetic 2 spin systems"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-5 (induced by source paper "approximating the determinant of well conditioned matrices by shallow circuits"):
  with members:
    - "approximating the permanent of a random matrix with vanishing mean"
    - "derandomization beyond connectivity undirected laplacian systems in nearly logarithmic space"
    - "powers of tensors and fast matrix multiplication"

Connected through hyperedge HE-6 (induced by source paper "gauges loops and polynomials for partition functions of graphical models"):
  with members:
    - "belief propagation bethe approximation and polynomials"
    - "a generalization of permanent inequalities and applications in counting and optimization"
    - "how to calculate partition functions using convex programming hierarchies provable bounds for variational methods"
    - "a faster approximation algorithm for the gibbs partition function"
    - "the bethe permanent of a nonnegative matrix"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "a cluster cumulant expansion at the fixed points of belief propagation"
    - "the bethe partition function of log supermodular graphical models"

Connected through hyperedge HE-7 (induced by source paper "algorithmic pirogov sinai theory"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "inapproximability of the independent set polynomial in the complex plane"
    - "computing the number of induced copies of a fixed graph in a bounded degree graph"
    - "bis hardness for 2 spin systems on bipartite bounded degree graphs in the tree non uniqueness region"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "random cluster dynamics for the ising model is rapidly mixing"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "fptas for bis with degree bounds on one side"

Connected through hyperedge HE-8 (induced by source paper "learning restricted boltzmann machines via influence maximization"):
  with members:
    - "beating the perils of non convexity guaranteed training of neural networks using tensor methods"
    - "learning neural networks with two nonlinear layers in polynomial time"
    - "the power of depth for feedforward neural networks"
    - "ell_1 regularized neural networks are improperly learnable in polynomial time"
    - "hardness of parameter estimation in graphical models"
    - "provable bounds for learning some deep representations"
    - "information theoretic limits of selecting binary graphical models in high dimensions"

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.DS(Data Structures and Algorithms)