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: "computing the permanent with belief propagation"
  Abstract: We discuss schemes for exact and approximate computations of permanents, and compare them with each other. Specifically, we analyze and generalize the Belief Propagation (BP) approach to computing the permanent of a non-negative matrix. Known bounds and conjectures are verified in experiments, and some new theoretical relations, bounds and conjectures are proposed. We introduce a fractional free energy functional parameterized by a scalar parameter $\gamma\in[-1;1]$, where $\gamma=-1$ corresponds to the BP limit and $\gamma=1$ corresponds to the exclusion principle Mean-Field (MF) limit, and show monotonicity and continuity of the functional with $\gamma$. We observe that the optimal value of $\gamma$, where the $\gamma$-parameterized functional is equal to the exact free energy (defined as the minus log of the permanent), lies in the $[-1;0]$ range, with the low and high values from the range producing provable low and upper bounds for the permanent. Our experimental analysis suggests that the optimal $\gamma$ varies for different ensembles considered but it always lies in the $[-1;-1/2]$ interval. Besides, for all ensembles considered the behavior of the optimal $\gamma$ is highly distinctive, thus offering a lot of practical potential for estimating permanents of non-negative matrices via the fractional free energy functional approach.

Connected through hyperedge HE-1 (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"
    - "the bethe partition function of log supermodular graphical models"
    - "absdet pseudo codewords and perm pseudo codewords definitions and properties"
    - "approximating the permanent with belief propagation"

Connected through hyperedge HE-2 (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"
    - "pseudocodewords from bethe permanents"
    - "belief propagation for weighted b matchings on arbitrary graphs and its relation to linear programs with integer solutions"
    - "partition functions of normal factor graphs"

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)