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: "approximate counting via correlation decay in spin systems"
  Abstract: We give the first deterministic fully polynomial-time approximation scheme (FPTAS) for computing the partition function of a two-state spin system on an arbitrary graph, when the parameters of the system satisfy the uniqueness condition on infinite regular trees. This condition is of physical significance and is believed to be the right boundary between approximable and inapproximable. #R##N#The FPTAS is based on the correlation decay technique introduced by Bandyopadhyay and Gamarnik [SODA 06] and Weitz [STOC 06]. The classic correlation decay is defined with respect to graph distance. Although this definition has natural physical meanings, it does not directly support an FPTAS for systems on arbitrary graphs, because for graphs with unbounded degrees, the local computation that provides a desirable precision by correlation decay may take super-polynomial time. We introduce a notion of computationally efficient correlation decay, in which the correlation decay is measured in a refined metric instead of graph distance. We use a potential method to analyze the amortized behavior of this correlation decay and establish a correlation decay that guarantees an inverse-polynomial precision by polynomial-time local computation. This gives us an FPTAS for spin systems on arbitrary graphs. This new notion of correlation decay properly reflects the algorithmic aspect of the spin systems, and may be used for designing FPTAS for other counting problems.

Connected through hyperedge HE-1 (induced by source paper "spectral independence in high dimensional expanders and applications to the hardcore model"):
  with members:
    - "improved analysis of higher order random walks and applications"
    - "log concave polynomials ii high dimensional walks and an fpras for counting bases of a matroid"
    - "high dimensional random walks and colorful expansion"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "spatial mixing and the connective constant optimal bounds"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"
    - "improved bounds on the phase transition for the hard core model in 2 dimensions"

Connected through hyperedge HE-2 (induced by source paper "bis hardness for 2 spin systems on bipartite bounded degree graphs in the tree non uniqueness region"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "the complexity of approximating conservative counting csps"
    - "approximating the partition function of planar two state spin systems"
    - "the complexity of ferromagnetic two spin systems with external fields"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "inapproximability for antiferromagnetic spin systems in the tree non uniqueness region"
    - "inapproximability after uniqueness phase transition in two spin systems"
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-3 (induced by source paper "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "fptas for bis with degree bounds on one side"
    - "a simple fptas for counting edge covers"
    - "spatial mixing and the connective constant optimal bounds"
    - "loopy belief propagation for approximate inference an empirical study"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"
    - "improved bounds on the phase transition for the hard core model in 2 dimensions"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"

Connected through hyperedge HE-4 (induced by source paper "how to calculate partition functions using convex programming hierarchies provable bounds for variational methods"):
  with members:
    - "rounding sum of squares relaxations"
    - "convexifying the bethe free energy"
    - "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"
    - "rounding semidefinite programming hierarchies via global correlation"
    - "computational transition at the uniqueness threshold"
    - "complexity of combinatorial market makers"

Connected through hyperedge HE-5 (induced by source paper "an fptas for the volume of a cal v polytope it is hard to compute the volume of the intersection of two cross polytopes"):
  with members:
    - "a fully polynomial time approximation scheme for approximating a sum of random variables"
    - "a simple fptas for counting edge covers"
    - "near optimal deterministic algorithms for volume computation via m ellipsoids"
    - "correlation decay up to uniqueness in spin systems"
    - "a deterministic polynomial time approximation scheme for counting knapsack solutions"
    - "polynomial time approximation schemes for knapsack and related counting problems using branching programs"

Connected through hyperedge HE-6 (induced by source paper "a complexity trichotomy for approximately counting list h colourings"):
  with members:
    - "on the switch markov chain for perfect matchings"
    - "the complexity of approximating conservative counting csps"
    - "computational transition at the uniqueness threshold"

Connected through hyperedge HE-7 (induced by source paper "an fptas for counting proper four colorings on cubic graphs"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "fptas for counting monotone cnf"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-8 (induced by source paper "counting hypergraph matchings up to uniqueness threshold"):
  with members:
    - "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"
    - "counting independent sets in hypergraphs when strong spatial mixing fails"
    - "fptas for hardcore and ising models on hypergraphs"
    - "the complexity of approximately counting in 2 spin systems on k uniform bounded degree hypergraphs"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "fptas for weighted fibonacci gates and its applications"
    - "a simple fptas for counting edge covers"

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)