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: "the bethe partition function of log supermodular graphical models"
  Abstract: Sudderth, Wainwright, and Willsky have conjectured that the Bethe approximation corresponding to any fixed point of the belief propagation algorithm over an attractive, pairwise binary graphical model provides a lower bound on the true partition function. In this work, we resolve this conjecture in the affirmative by demonstrating that, for any graphical model with binary variables whose potential functions (not necessarily pairwise) are all log-supermodular, the Bethe partition function always lower bounds the true partition function. The proof of this result follows from a new variant of the "four functions" theorem that may be of independent interest.

Connected through hyperedge HE-1 (induced by source paper "lifted hybrid variational inference"):
  with members:
    - "coarse to fine lifted map inference in computer vision"
    - "lifted tree reweighted variational inference"
    - "beyond log supermodularity lower bounds and the bethe partition function"
    - "belief optimization for binary networks a stable alternative to loopy belief propagation"
    - "lifted relational variational inference"
    - "lifted inference for relational continuous models"
    - "counting belief propagation"
    - "nonparametric variational inference"

Connected through hyperedge HE-2 (induced by source paper "fast convergence of belief propagation to global optima beyond correlation decay"):
  with members:
    - "the mean field approximation information inequalities algorithms and complexity"
    - "mean field approximation convex hierarchies and the optimality of correlation rounding a unified perspective"
    - "belief optimization for binary networks a stable alternative to loopy belief propagation"
    - "bethe bounds and approximating the global optimum"
    - "the dynamics of message passing on dense graphs with applications to compressed sensing"
    - "sufficient conditions for convergence of the sum product algorithm"

Connected through hyperedge HE-3 (induced by source paper "gauges loops and polynomials for partition functions of graphical models"):
  with members:
    - "the ising partition function zeros and deterministic approximation"
    - "belief propagation bethe approximation and polynomials"
    - "a generalization of permanent inequalities and applications in counting and optimization"
    - "how to calculate partition functions using convex programming hierarchies provable bounds for variational methods"
    - "a faster approximation algorithm for the gibbs partition function"
    - "the bethe permanent of a nonnegative matrix"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "a cluster cumulant expansion at the fixed points of belief propagation"

Connected through hyperedge HE-4 (induced by source paper "belief propagation bethe approximation and polynomials"):
  with members:
    - "a generalization of permanent inequalities and applications in counting and optimization"
    - "real stable polynomials and matroids optimization and counting"
    - "effective resistance reducing flows spectrally thin trees and asymmetric tsp"
    - "the bethe permanent of a nonnegative matrix"
    - "entropy optimization and counting"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "partition functions of normal factor graphs"
    - "belief propagation and loop calculus for the permanent of a non negative matrix"

Connected through hyperedge HE-5 (induced by source paper "double edge factor graphs definition properties and examples"):
  with members:
    - "holographic transformation belief propagation and loop calculus for generalized probabilistic theories"
    - "factor graphs for quantum probabilities"
    - "the bethe permanent of a nonnegative matrix"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "a factor graph representation of probabilities in quantum mechanics"

Connected through hyperedge HE-6 (induced by source paper "high dimensional inference with random maximum a posteriori perturbations"):
  with members:
    - "direct optimization through arg max for discrete variational auto encoder"
    - "approximate inference via weighted rademacher complexity"
    - "the concrete distribution a continuous relaxation of discrete random variables"
    - "taming the curse of dimensionality discrete integration by hashing and optimization"
    - "on measure concentration of random maximum a posteriori perturbations"
    - "optimization with parity constraints from binary codes to discrete integration"
    - "on sampling from the gibbs distribution with random maximum a posteriori perturbations"
    - "map estimation linear programming and belief propagation with convex free energies"

Connected through hyperedge HE-7 (induced by source paper "analysis of double covers of factor graphs"):
  with members:
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "partition functions of normal factor graphs"
    - "normal factor graphs and holographic transformations"

Connected through hyperedge HE-8 (induced by source paper "bounding the bethe and the degree m bethe permanents"):
  with members:
    - "hierarchical and high girth qc ldpc codes"
    - "the bethe permanent of a nonnegative matrix"
    - "design of multiple edge protographs for qc ldpc codes avoiding short inevitable cycles"
    - "bounds on the minimum distance of punctured quasi cyclic ldpc codes"
    - "quasi cyclic ldpc codes influence of proto and tanner graph structure on minimum hamming distance upper bounds"
    - "computing the permanent with belief propagation"
    - "absdet pseudo codewords and perm pseudo codewords definitions and properties"
    - "approximating the permanent with belief propagation"

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.DM(Discrete Mathematics)