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 "the augustin capacity and center"):
  Abstract: The existence of a unique Augustin mean is established for any positive order and probability mass function on the input set. The Augustin mean is shown to be the unique fixed point of an operator defined in terms of the order and the input distribution. The Augustin information is shown to be continuously differentiable in the order. For any channel and any convex constraint set with finite Augustin capacity, the existence of a unique Augustin center and associated van Erven-Harremoes bound are established.The Augustin-Legendre (A-L) information, capacity, center, and radius are introduced and the latter three is proved to be equal to the corresponding Renyi-Gallager quantities. The equality of the A-L capacity to the A-L radius for arbitrary channels and the existence of a unique A-L center for channels with finite A-L capacity are established. For all interior points of the feasible set of cost constraints, the cost constrained Augustin capacity and center are expressed in terms the A-L capacity and center. Certain shift invariant families of probability measures and certain Gaussian channels are analyzed as examples.

Includes members:
  Member "the renyi capacity and center":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a simple derivation of the refined sphere packing bound under certain symmetry hypotheses")
  Member "the sphere packing bound for memoryless channels":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the renyi capacity and center")
  Member "the augustin center and the sphere packing bound for memoryless channels":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the renyi capacity and center")
  Member "exponent function for stationary memoryless channels with input cost at rates above the capacity":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "proof of convergence for correct decoding exponent computation")
  Member "the sphere packing bound via augustin s method":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "refined strong converse for the constant composition codes")
  Member "channels with cost constraints strong converse and dispersion":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "finite sample analysis of image registration")
  Member "constant compositions in the sphere packing bound for classical quantum channels":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "a simple derivation of the refined sphere packing bound under certain symmetry hypotheses")
  Member "renyi divergence and kullback leibler divergence":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "review analyze and design a comprehensive deep reinforcement learning framework")

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)