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 "loop calculus for non binary alphabets using concepts from information geometry"):
  Abstract: The Bethe approximation is a well-known approximation of the partition function used in statistical physics. Recently, an equality relating the partition function and its Bethe approximation was obtained for graphical models with binary variables by Chertkov and Chernyak. In this equality, the multiplicative error in the Bethe approximation is represented as a weighted sum over all generalized loops in the graphical model. In this paper, the equality is generalized to graphical models with non-binary alphabet using concepts from information geometry.

Includes members:
  Member "the bethe permanent of a nonnegative matrix":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "gauges loops and polynomials for partition functions of graphical models")
  Member "the matching polytope has exponential extension complexity":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "extended formulation lower bounds for refuting random csps")
  Member "counting in graph covers a combinatorial characterization of the bethe entropy function":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "pseudocodeword based decoding of quantum stabilizer codes")
  Member "beyond the bethe free energy of ldpc codes via polymer expansions":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "concentration to zero bit error probability for regular ldpc codes on the binary symmetric channel proof by loop calculus")
  Member "new generalizations of the bethe approximation via asymptotic expansion":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "counting in graph covers a combinatorial characterization of the bethe entropy function")
  Member "primal view on belief propagation":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "zero temperature limit of a convergent algorithm to minimize the bethe free energy")
  Member "connection between annealed free energy and belief propagation on random factor graph ensembles":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "threshold saturation for spatially coupled ldpc and ldgm codes on bms channels")
  Member "partition functions of normal factor graphs":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "codes on graphs models for elementary algebraic topology and statistical physics")

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.IT(Information Theory)