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: "entropy power inequality for a family of discrete random variables"
  Abstract: It is known that the Entropy Power Inequality (EPI) always holds if the random variables have density. Not much work has been done to identify discrete distributions for which the inequality holds with the differential entropy replaced by the discrete entropy. Harremoes and Vignat showed that it holds for the pair (B(m, p),B(n, p)), m, n ∈ ℕ, (where B(n, p) is a Binomial distribution with n trials each with success probability p) for p = 0.5. In this paper, we considerably expand the set of Binomial distributions for which the inequality holds and, in particular, identify n 0 (p) such that for all m, n ≥ n 0 (p), the EPI holds for (B(m, p),B(n, p)). We further show that the EPI holds for the discrete random variables that can be expressed as the sum of n independent and identically distributed (IID) discrete random variables for large n.

Connected through hyperedge HE-1 (induced by source paper "an entropy power inequality for discrete random variables"):
  with members:
    - "a new entropy power inequality for integer valued random variables"
    - "monotonicity thinning and discrete versions of the entropy power inequality"

Connected through hyperedge HE-2 (induced by source paper "on renyi entropy power inequalities"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "strengthening the entropy power inequality"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "beyond the entropy power inequality via rearrangements"
    - "a strengthened entropy power inequality for log concave densities"
    - "renyi divergence and kullback leibler divergence"
    - "the concavity of renyi entropy power"
    - "a new entropy power inequality for integer valued random variables"

Connected through hyperedge HE-3 (induced by source paper "capacity bounds for diamond networks with an orthogonal broadcast channel"):
  with members:
    - "generalization of mrs gerber s lemma"
    - "capacity bounds for a class of diamond networks"
    - "a new entropy power inequality for integer valued random variables"
    - "achieving the capacity of the n relay gaussian diamond network within log n bits"
    - "the gaussian multiple access diamond channel"
    - "wireless network information flow a deterministic approach"
    - "the approximate capacity of the gaussian n relay diamond network"
    - "dependence balance based outer bounds for gaussian networks with cooperation and feedback"

Connected through hyperedge HE-4 (induced by source paper "a new entropy power inequality for integer valued random variables"):
  with members:
    - "sumset and inverse sumset inequalities for differential entropy and mutual information"
    - "the entropy power inequality and mrs gerber s lemma for abelian groups of order 2 n"
    - "adaptive sensing using deterministic partial hadamard matrices"
    - "information theoretic proofs of entropy power inequalities"
    - "monotonicity thinning and discrete versions of the entropy power inequality"
    - "generalized entropy power inequalities and monotonicity properties of information"
    - "an extremal inequality motivated by multiterminal information theoretic problems"

Connected through hyperedge HE-5 (induced by source paper "the entropy power inequality and mrs gerber s lemma for abelian groups of order 2 n"):
  with members:
    - "sumset and inverse sumset inequalities for differential entropy and mutual information"

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)