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 "perfect sampling from spatial mixing"):
  Abstract: We show that strong spatial mixing with a rate faster than the growth of neighborhood implies the existence of efficient perfect samplers for spin systems. Our new resampling based algorithm bypasses a major barrier of previous work along this line, namely that our algorithm works for general spin systems and does not require additional structures of the problem. In addition, our framework naturally incorporates spatial mixing properties to obtain linear expected running time. Using this new technique, we give the currently best perfect sampling algorithms for colorings in bounded degree graphs and in graphs with sub-exponential neighborhood growth.

Includes members:
  Member "dynamic sampling from graphical models":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "distributed metropolis sampler with optimal parallelism")
  Member "on local distributed sampling and counting":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "distributed symmetry breaking in sampling optimal distributed randomly coloring with fewer colors")
  Member "approximately counting bases of bicircular matroids":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "log concave polynomials ii high dimensional walks and an fpras for counting bases of a matroid")
  Member "improved bounds for randomly sampling colorings via linear programming":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "counting independent sets and colorings on random regular bipartite graphs")
  Member "a polynomial time approximation algorithm for all terminal network reliability":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "dynamic sampling from graphical models")
  Member "inapproximability of the partition function for the antiferromagnetic ising and hard core models":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "lower bounds for testing graphical models colorings and antiferromagnetic ising models")
  Member "approximate counting via correlation decay on planar graphs":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "detecting and counting small patterns in planar graphs in subexponential parameterized time")
  Member "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "efficient distance approximation for structured high dimensional distributions via learning")

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)