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 "on maximal correlation hypercontractivity and the data processing inequality studied by erkip and cover"):
  Abstract: In this paper we provide a new geometric characterization of the Hirschfeld-Gebelein-R\'{e}nyi maximal correlation of a pair of random $(X,Y)$, as well as of the chordal slope of the nontrivial boundary of the hypercontractivity ribbon of $(X,Y)$ at infinity. The new characterizations lead to simple proofs for some of the known facts about these quantities. We also provide a counterexample to a data processing inequality claimed by Erkip and Cover, and find the correct tight constant for this kind of inequality.

Includes members:
  Member "linear information coupling problems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "importance of small probability events in big data information measures applications and challenges")
  Member "evaluation of marton s inner bound for the general broadcast channel":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the direction of discrimination an information theoretic analysis of disparate impact in machine learning")
  Member "the capacity region of the two receiver vector gaussian broadcast channel with private and common messages":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "broadcast channels with privacy leakage constraints")
  Member "a new data processing inequality and its applications in distributed source and channel coding":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "estimation efficiency under privacy constraints")
  Member "evaluation of marton s inner bound for the general broadcast channel":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on the direction of discrimination an information theoretic analysis of disparate impact in machine learning")

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)