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: "a new data processing inequality and its applications in distributed source and channel coding"
  Abstract: In the distributed coding of correlated sources, the problem of characterizing the joint probability distribution of a pair of random variables satisfying an n-letter Markov chain arises. The exact solution of this problem is intractable. In this paper, we seek a single-letter necessary condition for this n-letter Markov chain. To this end, we propose a new data processing inequality on a new measure of correlation through a spectral method. Based on this new data processing inequality, we provide a single-letter necessary condition for the required joint probability distribution. We apply our results to two specific examples involving the distributed coding of correlated sources: multiple-access channel with correlated sources and multiterminal rate-distortion region, and propose new necessary conditions for these two problems.

Connected through hyperedge HE-1 (induced by source paper "estimation efficiency under privacy constraints"):
  with members:
    - "technical privacy metrics a systematic survey"
    - "generalizing bottleneck problems"
    - "privacy aware guessing efficiency"
    - "hypothesis testing under mutual information privacy constraints in the high privacy regime"
    - "principal inertia components and applications"
    - "hypothesis testing under maximal leakage privacy constraints"
    - "privacy aware mmse estimation"
    - "notes on information theoretic privacy"

Connected through hyperedge HE-2 (induced by source paper "principal inertia components and applications"):
  with members:
    - "brascamp lieb inequality and its reverse an information theoretic view"
    - "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"

Connected through hyperedge HE-3 (induced by source paper "on the sub optimality of single letter coding over networks"):
  with members:
    - "dictator functions maximize mutual information"
    - "on non interactive simulation of joint distributions"
    - "analysis of boolean functions"
    - "lossy joint source channel coding in the finite blocklength regime"
    - "on extracting common random bits from correlated sources"
    - "robust distributed source coding"

Connected through hyperedge HE-4 (induced by source paper "communicating correlated sources over mac and interference channels i separation based schemes"):
  with members:
    - "communicating correlated sources over an interference channel"
    - "broadcasting correlated vector gaussians"
    - "matched multiuser gaussian source channel communications via uncoded schemes"
    - "on joint source channel coding for correlated sources over multiple access relay channels"
    - "an achievable rate distortion region for the multiple descriptions problem"
    - "optimality and approximate optimality of source channel separation in networks"
    - "interference channels with arbitrarily correlated sources"
    - "distributed joint source channel coding on a multiple access channel with side information"

Connected through hyperedge HE-5 (induced by source paper "distortion bounds for transmitting correlated sources with common part over mac"):
  with members:
    - "distortion bounds for source broadcast over degraded channel"
    - "distortion bounds for source broadcast problem"
    - "outer bounds on the admissible source region for broadcast channels with correlated sources"
    - "rate region of the quadratic gaussian two encoder source coding problem"

Connected through hyperedge HE-6 (induced by source paper "lossy coding of correlated sources over a multiple access channel necessary conditions and separation results"):
  with members:
    - "distortion bounds for transmitting correlated sources with common part over mac"
    - "optimality and approximate optimality of source channel separation in networks"
    - "the gaussian mac with conferencing encoders"

Connected through hyperedge HE-7 (induced by source paper "phi entropic measures of correlation"):
  with members:
    - "strong data processing inequalities and phi sobolev inequalities for discrete channels"
    - "on maximal correlation hypercontractivity and the data processing inequality studied by erkip and cover"

Connected through hyperedge HE-8 (induced by source paper "maximal rank correlation"):
  with members:
    - "maximal rank correlation"

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)