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 "principal inertia components and applications"):
  Abstract: We explore properties and applications of the Principal Inertia Components (PICs) between two discrete random variables $X$ and $Y$. The PICs lie in the intersection of information and estimation theory, and provide a fine-grained decomposition of the dependence between $X$ and $Y$. Moreover, the PICs describe which functions of $X$ can or cannot be reliably inferred (in terms of MMSE) given an observation of $Y$. We demonstrate that the PICs play an important role in information theory, and they can be used to characterize information-theoretic limits of certain estimation problems. In privacy settings, we prove that the PICs are related to fundamental limits of perfect privacy.

Includes members:
  Member "brascamp lieb inequality and its reverse an information theoretic view":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "dispersion bound for the wyner ahlswede k orner network via reverse hypercontractivity on types")
  Member "the most informative boolean function conjecture holds for high noise":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the optimal boolean function for prediction under quadratic loss")
  Member "bounds between contraction coefficients":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on universal features for high dimensional learning and inference")
  Member "on the duality of additivity and tensorization":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "communication for generating correlation a unifying survey")
  Member "managing your private and public data bringing down inference attacks against your privacy":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "defending against machine learning based inference attacks via adversarial examples opportunities and challenges")
  Member "remarks on the most informative function conjecture at fixed mean":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "guessing with a bit of help")
  Member "euclidean information theory of networks":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "distributed hypothesis testing with privacy constraints")
  Member "notes on information theoretic privacy":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "estimation efficiency under privacy constraints")

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)