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: "connection between annealed free energy and belief propagation on random factor graph ensembles"
  Abstract: Recently, Vontobel showed the relationship between Bethe free energy and annealed free energy for protograph factor graph ensembles. In this paper, annealed free energy of any random regular, irregular and Poisson factor graph ensembles are connected to Bethe free energy. The annealed free energy is expressed as the solution of maximization problem whose stationary condition equations coincide with equations of belief propagation since the contribution to partition function of particular type of variable and factor nodes has similar form of minus Bethe free energy. It gives simple derivation of replica symmetric solution. As consequence, it is shown that on replica symmetric ansatz, replica symmetric solution and annealed free energy are equal for regular ensemble.

Connected through hyperedge HE-1 (induced by source paper "threshold saturation for spatially coupled ldpc and ldgm codes on bms channels"):
  with members:
    - "approaching the rate distortion limit with spatial coupling belief propagation and decimation"
    - "threshold saturation in spatially coupled constraint satisfaction problems"
    - "a proof of threshold saturation for spatially coupled ldpc codes on bms channels"
    - "spatial coupling as a proof technique"
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "chains of mean field models"
    - "a phenomenological study on threshold improvement via spatial coupling"

Connected through hyperedge HE-2 (induced by source paper "a proof of threshold saturation for spatially coupled ldpc codes on bms channels"):
  with members:
    - "threshold saturation for spatially coupled ldpc and ldgm codes on bms channels"
    - "threshold saturation in spatially coupled constraint satisfaction problems"
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "a phenomenological study on threshold improvement via spatial coupling"
    - "threshold saturation on channels with memory via spatial coupling"
    - "information theoretically optimal compressed sensing via spatial coupling and approximate message passing"
    - "threshold saturation via spatial coupling why convolutional ldpc ensembles perform so well over the bec"

Connected through hyperedge HE-3 (induced by source paper "loop calculus for non binary alphabets using concepts from information geometry"):
  with members:
    - "the bethe permanent of a nonnegative matrix"
    - "the matching polytope has exponential extension complexity"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "beyond the bethe free energy of ldpc codes via polymer expansions"
    - "new generalizations of the bethe approximation via asymptotic expansion"
    - "primal view on belief propagation"
    - "partition functions of normal factor graphs"
    - "normal factor graphs and holographic transformations"

Connected through hyperedge HE-4 (induced by source paper "counting in graph covers a combinatorial characterization of the bethe entropy function"):
  with members:
    - "the bethe permanent of a nonnegative matrix"
    - "beyond log supermodularity lower bounds and the bethe partition function"
    - "new generalizations of the bethe approximation via asymptotic expansion"
    - "central approximation in statistical physics and information theory"
    - "the bethe partition function of log supermodular graphical models"
    - "pseudocodewords from bethe permanents"
    - "normal factor graphs and holographic transformations"
    - "on the growth rate of the weight distribution of irregular doubly generalized ldpc codes"

Connected through hyperedge HE-5 (induced by source paper "central approximation in statistical physics and information theory"):
  with members:
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"

Connected through hyperedge HE-6 (induced by source paper "multiple access demodulation in the lifted signal graph with spatial coupling"):
  with members:
    - "threshold saturation via spatial coupling why convolutional ldpc ensembles perform so well over the bec"
    - "tight bounds on the capacity of binary input random cdma systems"
    - "on maximum contention free interleavers and permutation polynomials over integer rings"
    - "a general computation rule for lossy summaries messages with examples from equalization"

Connected through hyperedge HE-7 (induced by source paper "statistical mechanical analysis of low density parity check codes on general markov channel"):
  with members:
    - "the generalized area theorem and some of its consequences"
    - "tight bounds for ldpc and ldgm codes under map decoding"
    - "density evolution for asymmetric memoryless channels"

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.IT(Information Theory)