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: "pseudocodewords from bethe permanents"
  Abstract: It was recently conjectured that a vector with components equal to the Bethe permanent of certain submatrices of a parity-check matrix is a pseudocodeword. In this paper we prove a stronger version of this conjecture for some important cases and investigate the families of pseudocodewords obtained by using the Bethe permanent. We also highlight some interesting properties of the permanent of block matrices and their effects on pseudocodewords.

Connected through hyperedge HE-1 (induced by source paper "the bethe permanent of a nonnegative matrix"):
  with members:
    - "extropy complementary dual of entropy"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "map estimation linear programming and belief propagation with convex free energies"
    - "a new class of upper bounds on the log partition function"
    - "the bethe partition function of log supermodular graphical models"
    - "belief propagation for weighted b matchings on arbitrary graphs and its relation to linear programs with integer solutions"
    - "partition functions of normal factor graphs"
    - "computing the permanent with belief propagation"

Connected through hyperedge HE-2 (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"
    - "connection between annealed free energy and belief propagation on random factor graph ensembles"
    - "normal factor graphs and holographic transformations"
    - "on the growth rate of the weight distribution of irregular doubly generalized ldpc codes"

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)