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 "algebra of inference in graphical models revisited"):
  Abstract: Graphical Models use the intuitive and well-studied methods of graph theory to implicitly represent dependencies between variables in large systems and model the global behaviour of a complex system by specifying only local factors. The variational perspective poses inference as optimization and provides a rich framework to study inference when the object of interest is a (log) probability. However, graphical models can operate on a much wider set of algebraic structures. This paper builds on the work of Aji and McEliece (2000), to formally and broadly express what constitutes an inference problem in a graphical model. We then study the computational complexity of inference and show that inference in any commutative semiring is NP-hard under randomized reduction. By confining inference to four basic operations of min, max, sum and product, we introduce the inference hierarchy with an eye on computational complexity and establish the limits of message passing using distributive law in solving the problems in this hierarchy.

Includes members:
  Member "on map inference by mwss on perfect graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "message passing and combinatorial optimization")
  Member "loopy belief propagation for approximate inference an empirical study":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "analyzing differentiable fuzzy logic operators")
  Member "hybrid processing of beliefs and constraints":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "message passing and combinatorial optimization")
  Member "robust max product belief propagation":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "message passing and combinatorial optimization")
  Member "approximating the permanent with belief propagation":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "approximating the permanent by sampling from adaptive partitions")
  Member "complexity results and approximation strategies for map explanations":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "approximate mmap by marginal search")
  Member "a new look at survey propagation and its generalizations":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "streamlining variational inference for constraint satisfaction problems")

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.AI(Artificial Intelligence)