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 sphere packing bound via augustin s method"
  Abstract: The channel coding problem is reviewed for an abstract framework and a sufficient condition for the strong converse property is provided. A sphere packing bound (SPB) with a polynomial prefactor is established for the decay rate of the error probability with the block length on any sequence of product channels $\{{W}_{[1,n]}\}_{n\in\mathbb{Z}^{+}}$ satisfying $\max_{t\leq n} C_{0.5,{W}_{t}}=\mathit{O}(\ln n)$, by first establishing a non-asymptotic SPB. For the discrete stationary product channels with feedback, the sphere packing exponent is proved to bound the exponential decay rate of the error probability with the block length from above, by first establishing a non-asymptotic SPB. The result for the channels with feedback continues to hold for the product channels with feedback satisfying a milder stationarity hypothesis. A non-asymptotic SPB with a polynomial prefactor is established for various Poisson channels.

Connected through hyperedge HE-1 (induced by source paper "refined strong converse for the constant composition codes"):
  with members:
    - "on exact asymptotics of the error probability in channel coding symmetric channels"
    - "a simple derivation of the refined spb for the constant composition codes"
    - "the augustin capacity and center"
    - "renyi divergence and kullback leibler divergence"
    - "refinement of the sphere packing bound asymmetric channels"

Connected through hyperedge HE-2 (induced by source paper "the renyi capacity and center"):
  with members:
    - "a strong converse bound for multiple hypothesis testing with applications to high dimensional estimation"
    - "the sphere packing bound for memoryless channels"
    - "operational interpretation of renyi information measures via composite hypothesis testing against product and markov distributions"
    - "the sphere packing bound for dspcs with feedback a la augustin"
    - "the augustin capacity and center"
    - "the augustin center and the sphere packing bound for memoryless channels"
    - "analysis of remaining uncertainties and exponents under various conditional r e nyi entropies"
    - "on renyi entropy power inequalities"

Connected through hyperedge HE-3 (induced by source paper "a simple derivation of the refined sphere packing bound under certain symmetry hypotheses"):
  with members:
    - "on exact asymptotics of the error probability in channel coding symmetric channels"
    - "a simple derivation of the refined spb for the constant composition codes"
    - "error probability bounds for gaussian channels under maximal and average power constraints"
    - "the renyi capacity and center"
    - "saddlepoint approximations for short packet wireless communications"
    - "the sphere packing bound for memoryless channels"
    - "the sphere packing bound for dspcs with feedback a la augustin"
    - "the augustin capacity and center"

Connected through hyperedge HE-4 (induced by source paper "a simple derivation of the refined spb for the constant composition codes"):
  with members:
    - "the sphere packing bound for memoryless channels"
    - "the augustin capacity and center"
    - "constant compositions in the sphere packing bound for classical quantum channels"
    - "renyi divergence and kullback leibler divergence"
    - "lower bounds on the probability of error for classical and classical quantum channels"
    - "refinement of the sphere packing bound asymmetric channels"

Connected through hyperedge HE-5 (induced by source paper "the sphere packing bound for memoryless channels"):
  with members:
    - "on exact asymptotics of the error probability in channel coding symmetric channels"
    - "a simple derivation of the refined spb for the constant composition codes"
    - "the renyi capacity and center"
    - "saddlepoint approximations for short packet wireless communications"
    - "the augustin capacity and center"
    - "the augustin center and the sphere packing bound for memoryless channels"
    - "the capacity of gaussian mimo channels under total and per antenna power constraints"
    - "exact asymptotics for the random coding error probability"

Connected through hyperedge HE-6 (induced by source paper "the augustin capacity and center"):
  with members:
    - "the renyi capacity and center"
    - "the sphere packing bound for memoryless channels"
    - "the augustin center and the sphere packing bound for memoryless channels"
    - "exponent function for stationary memoryless channels with input cost at rates above the capacity"
    - "channels with cost constraints strong converse and dispersion"
    - "constant compositions in the sphere packing bound for classical quantum channels"
    - "renyi divergence and kullback leibler divergence"
    - "on pinsker s and vajda s type inequalities for csiszar s f divergences"

Connected through hyperedge HE-7 (induced by source paper "the sphere packing bound for dspcs with feedback a la augustin"):
  with members:
    - "the renyi capacity and center"
    - "the sphere packing bound for memoryless channels"
    - "the augustin capacity and center"
    - "on pinsker s and vajda s type inequalities for csiszar s f divergences"
    - "gallager s exponent for mimo channels a reliability rate tradeoff"

Connected through hyperedge HE-8 (induced by source paper "the augustin center and the sphere packing bound for memoryless channels"):
  with members:
    - "the renyi capacity and center"
    - "augustin s method part ii the sphere packing bound"
    - "augustin s method part i the renyi center"
    - "renyi divergence and kullback leibler divergence"
    - "refinement of the sphere packing bound asymmetric channels"

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)