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: "partition functions of normal factor graphs"
  Abstract: One of the most common types of functions in mathematics, physics, and engineering is a sum of products, sometimes called a partition function. After "normalization," a sum of products has a natural graphical representation, called a normal factor graph (NFG), in which vertices represent factors, edges represent internal variables, and half-edges represent the external variables of the partition function. In physics, so-called trace diagrams share similar features. We believe that the conceptual framework of representing sums of products as partition functions of NFGs is an important and intuitive paradigm that, surprisingly, does not seem to have been introduced explicitly in the previous factor graph literature. Of particular interest are NFG modifications that leave the partition function invariant. A simple subclass of such NFG modifications offers a unifying view of the Fourier transform, tree-based reparameterization, loop calculus, and the Legendre transform.

Connected through hyperedge HE-1 (induced by source paper "codes on graphs models for elementary algebraic topology and statistical physics"):
  with members:
    - "a factor graph approach to algebraic topology with applications to kramers wannier duality"
    - "the primal versus the dual ising model"
    - "codes on graphs fundamentals"
    - "partition function of the ising model via factor graph duality"
    - "normal factor graphs and holographic transformations"

Connected through hyperedge HE-2 (induced by source paper "a factor graph approach to algebraic topology with applications to kramers wannier duality"):
  with members:
    - "codes on graphs models for elementary algebraic topology and statistical physics"
    - "on stochastic estimation of partition function"
    - "partition function of the ising model via factor graph duality"
    - "a new class of upper bounds on the log partition function"
    - "normal factor graphs and holographic transformations"

Connected through hyperedge HE-3 (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"
    - "the bethe partition function of log supermodular graphical models"
    - "belief propagation and loop calculus for the permanent of a non negative matrix"

Connected through hyperedge HE-4 (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"
    - "the bethe partition function of log supermodular graphical models"
    - "normal factor graphs and holographic transformations"

Connected through hyperedge HE-5 (induced by source paper "kramers wannier duality and factor graphs"):
  with members:
    - "a new class of upper bounds on the log partition function"
    - "normal factor graphs and holographic transformations"

Connected through hyperedge HE-6 (induced by source paper "factor graphs for quantum probabilities"):
  with members:
    - "double edge factor graphs definition properties and examples"
    - "on sparsity by nuv em gaussian message passing and kalman smoothing"
    - "holographic transformation belief propagation and loop calculus for generalized probabilistic theories"
    - "the bethe permanent of a nonnegative matrix"
    - "a factor graph representation of probabilities in quantum mechanics"
    - "normal factor graphs a diagrammatic approach to linear algebra"
    - "monte carlo algorithms for the partition function and information rates of two dimensional channels"
    - "normal factor graphs and holographic transformations"

Connected through hyperedge HE-7 (induced by source paper "holographic transformation belief propagation and loop calculus for generalized probabilistic theories"):
  with members:
    - "normal factor graphs and holographic transformations"

Connected through hyperedge HE-8 (induced by source paper "holographic transformation for quantum factor graphs"):
  with members:
    - "normal factor graphs and holographic transformations"
    - "loop calculus and belief propagation for q ary alphabet loop tower"

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)