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: "an extremal inequality motivated by multiterminal information theoretic problems"
  Abstract: We prove a new extremal inequality, motivated by the vector Gaussian broadcast channel and the distributed source coding with a single quadratic distortion constraint problems. As a corollary, this inequality yields a generalization of the classical entropy-power inequality (EPI). As another corollary, this inequality sheds insight into maximizing the differential entropy of the sum of two dependent random variables.

Connected through hyperedge HE-1 (induced by source paper "vector gaussian successive refinement with degraded side information"):
  with members:
    - "the sum rate of vector gaussian multiple description coding with tree structured covariance distortion constraints"
    - "vector gaussian rate distortion with variable side information"
    - "broadcasting correlated vector gaussians"
    - "new results on multiple input multiple output broadcast channels with confidential messages"
    - "private broadcasting over independent parallel channels"
    - "information theoretic proofs of entropy power inequalities"
    - "secure lossy transmission of vector gaussian sources"
    - "capacity equivocation region of the gaussian mimo wiretap channel"

Connected through hyperedge HE-2 (induced by source paper "vector gaussian ceo problem under logarithmic loss"):
  with members:
    - "vector gaussian ceo problem under logarithmic loss and applications"
    - "universality of logarithmic loss in lossy compression"
    - "on the optimal fronthaul compression and decoding strategies for uplink cloud radio access networks"
    - "justification of logarithmic loss via the benefit of side information"
    - "rate region of the vector gaussian ceo problem with the trace distortion constraint"
    - "secure source coding with a public helper"
    - "an outer bound for the vector gaussian ceo problem"
    - "multiterminal source coding under logarithmic loss"

Connected through hyperedge HE-3 (induced by source paper "broadcasting information subject to state masking over a mimo state dependent gaussian channel"):
  with members:
    - "broadcasting information subject to state masking"
    - "information extraction under privacy constraints"
    - "information masking and amplification the source coding setting"
    - "state amplification subject to masking constraints"
    - "capacity bounds for multiuser channels with non causal channel state information at the transmitters"

Connected through hyperedge HE-4 (induced by source paper "vector gaussian ceo problem under logarithmic loss and applications"):
  with members:
    - "vector gaussian ceo problem under logarithmic loss"
    - "chaining mutual information and tightening generalization bounds"
    - "on the universality of the logistic loss function"
    - "minimax learning for remote prediction"
    - "information theoretic analysis of generalization capability of learning algorithms"
    - "distributed information bottleneck method for discrete and gaussian sources"
    - "universality of logarithmic loss in lossy compression"
    - "a generalization of blahut arimoto algorithm to compute rate distortion regions of multiterminal source coding under logarithmic loss"

Connected through hyperedge HE-5 (induced by source paper "broadcasting information subject to state masking"):
  with members:
    - "capacity bounds for multiuser channels with non causal channel state information at the transmitters"

Connected through hyperedge HE-6 (induced by source paper "degrees of freedom of the broadcast channel with hybrid csi at transmitter and receivers"):
  with members:
    - "coherence disparity in broadcast and multiple access channels"
    - "coherent product superposition for downlink multiuser mimo"
    - "secure degrees of freedom region of the two user miso broadcast channel with alternating csit"
    - "aligned image sets under channel uncertainty settling a conjecture by lapidoth shamai and wigger on the collapse of degrees of freedom under finite precision csit"
    - "on the degrees of freedom of the 3 user miso broadcast channel with hybrid csit"
    - "the degrees of freedom region of temporally correlated mimo networks with delayed csit"
    - "degrees of freedom of time correlated miso broadcast channel with delayed csit"
    - "optimal use of current and outdated channel state information degrees of freedom of the miso bc with mixed csit"

Connected through hyperedge HE-7 (induced by source paper "on cooperation and interference in the weak interference regime full version with detailed proofs"):
  with members:
    - "cooperation for interference management a gdof perspective"
    - "diversity multiplexing tradeoff for the interference channel with a relay"
    - "the ergodic capacity of phase fading interference networks"
    - "incremental relaying for the gaussian interference channel with a degraded broadcasting relay"
    - "capacity theorems for the fading interference channel with a relay and feedback links"
    - "the gaussian interference relay channel improved achievable rates and sum rate upperbounds using a potent relay"
    - "capacity bounds for the gaussian interference channel"
    - "gaussian interference channel capacity to within one bit"

Connected through hyperedge HE-8 (induced by source paper "dof analysis of the mimo broadcast channel with alternating hybrid csit"):
  with members:
    - "miso broadcast channel with hybrid csit beyond two users"
    - "distributed space time interference alignment with moderately delayed csit"
    - "aligned image sets under channel uncertainty settling a conjecture by lapidoth shamai and wigger on the collapse of degrees of freedom under finite precision csit"
    - "on the degrees of freedom of the 3 user miso broadcast channel with hybrid csit"
    - "the degrees of freedom region of temporally correlated mimo networks with delayed csit"
    - "on the degrees of freedom of the k user time correlated broadcast channel with delayed csit"
    - "imperfect and unmatched csit is still useful for the frequency correlated miso broadcast channel"
    - "on the dof region of the k user miso broadcast channel with hybrid csit"

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)