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 "spectral independence in high dimensional expanders and applications to the hardcore model"):
  Abstract: We say a probability distribution $\mu$ is spectrally independent if an associated correlation matrix has a bounded largest eigenvalue for the distribution and all of its conditional distributions. We prove that if $\mu$ is spectrally independent, then the corresponding high dimensional simplicial complex is a local spectral expander. Using a line of recent works on mixing time of high dimensional walks on simplicial complexes \cite{KM17,DK17,KO18,AL19}, this implies that the corresponding Glauber dynamics mixes rapidly and generates (approximate) samples from $\mu$. #R##N#As an application, we show that natural Glauber dynamics mixes rapidly (in polynomial time) to generate a random independent set from the hardcore model up to the uniqueness threshold. This improves the quasi-polynomial running time of Weitz's deterministic correlation decay algorithm \cite{Wei06} for estimating the hardcore partition function, also answering a long-standing open problem of mixing time of Glauber dynamics \cite{LV97,LV99,DG00,Vig01,EHSVY16}.

Includes members:
  Member "improved analysis of higher order random walks and applications":
    also connected through other hyperedges:
      (none)
  Member "log concave polynomials ii high dimensional walks and an fpras for counting bases of a matroid":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "improved analysis of higher order random walks and applications")
  Member "high dimensional random walks and colorful expansion":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "improved analysis of higher order random walks and applications")
  Member "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "fast sampling and counting k sat solutions in the local lemma regime")
  Member "computing the independence polynomial from the tree threshold down to the roots":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "dynamic sampling from graphical models")
  Member "spatial mixing and the connective constant optimal bounds":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "sampling in uniqueness from the potts and random cluster models on random regular graphs")
  Member "spatial mixing and approximation algorithms for graphs with bounded connective constant":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "sampling in uniqueness from the potts and random cluster models on random regular graphs")
  Member "improved bounds on the phase transition for the hard core model in 2 dimensions":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model")

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.DS(Data Structures and Algorithms)