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: "brascamp lieb inequality and its reverse an information theoretic view"
  Abstract: We generalize a result by Carlen and CorderoErausquin on the equivalence between the Brascamp-Lieb inequality and the subadditivity of relative entropy by allowing for random transformations (a broadcast channel). This leads to a unified perspective on several functional inequalities that have been gaining popularity in the context of proving impossibility results. We demonstrate that the information theoretic dual of the Brascamp-Lieb inequality is a convenient setting for proving properties such as data processing, tensorization, convexity and Gaussian optimality. Consequences of the latter include an extension of the Brascamp-Lieb inequality allowing for Gaussian random transformations, the determination of the multivariate Wyner common information for Gaussian sources, and a multivariate version of Nelson’s hypercontractivity theorem. Finally we present an information theoretic characterization of a reverse Brascamp-Lieb inequality involving a random transformation (a multiple access channel).

Connected through hyperedge HE-1 (induced by source paper "dispersion bound for the wyner ahlswede k orner network via reverse hypercontractivity on types"):
  with members:
    - "strong converse using change of measure arguments"
    - "exponential strong converse for content identification with lossy recovery"
    - "information theoretic perspectives on brascamp lieb inequality and its reverse"
    - "a converse bound on wyner ahlswede k orner network via gray wyner network"
    - "exponent function for one helper source coding problem at rates outside the rate region"
    - "asymptotic estimates in information theory with non vanishing error probabilities"

Connected through hyperedge HE-2 (induced by source paper "capacity upper bounds for the relay channel via reverse hypercontractivity"):
  with members:
    - "the capacity of the relay channel solution to cover s problem in the gaussian case"
    - "cut set bound is loose for gaussian relay networks"
    - "secret key generation with one communicator and a one shot converse via hypercontractivity"
    - "wasserstein continuity of entropy and outer bounds for interference channels"
    - "capacity of a class of modulo sum relay channels"

Connected through hyperedge HE-3 (induced by source paper "principal inertia components and applications"):
  with members:
    - "the most informative boolean function conjecture holds for high noise"
    - "bounds between contraction coefficients"
    - "on the duality of additivity and tensorization"
    - "managing your private and public data bringing down inference attacks against your privacy"
    - "remarks on the most informative function conjecture at fixed mean"
    - "euclidean information theory of networks"
    - "notes on information theoretic privacy"
    - "an improved upper bound for the most informative boolean function conjecture"

Connected through hyperedge HE-4 (induced by source paper "information theoretic perspectives on brascamp lieb inequality and its reverse"):
  with members:
    - "arimoto r enyi conditional entropy and bayesian m ary hypothesis testing"
    - "strengthening the entropy power inequality"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "converses for distributed estimation via strong data processing inequalities"
    - "secret key generation with one communicator and a one shot converse via hypercontractivity"
    - "on non interactive simulation of joint distributions"
    - "a note on the strong data processing inequalities in bayesian networks"
    - "communication lower bounds for statistical estimation problems via a distributed data processing inequality"

Connected through hyperedge HE-5 (induced by source paper "a variational characterization of r enyi divergences"):
  with members:
    - "on the renyi divergence joint range of relative entropies and a channel coding theorem"
    - "a note on a characterization of renyi measures and its relation to composite hypothesis testing"

Connected through hyperedge HE-6 (induced by source paper "smoothing brascamp lieb inequalities and strong converses for common randomness generation"):
  with members:
    - "e_ gamma resolvability"
    - "secret key generation with one communicator and a one shot converse via hypercontractivity"
    - "one shot mutual covering lemma and marton s inner bound with a common message"
    - "how many queries will resolve common randomness"
    - "on maximal correlation hypercontractivity and the data processing inequality studied by erkip and cover"
    - "fixed length lossy compression in the finite blocklength regime"
    - "information spectrum approach to second order coding rate in channel coding"

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)