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 "monotonic convergence in an information theoretic law of small numbers"):
  Abstract: An "entropy increasing to the maximum" result analogous to the entropic central limit theorem (Barron 1986; Artstein 2004) is obtained in the discrete setting. This involves the thinning operation and a Poisson limit. Monotonic convergence in relative entropy is established for general discrete distributions, while monotonic increase of Shannon entropy is proved for the special class of ultra-log-concave distributions. Overall we extend the parallel between the information-theoretic central limit theorem and law of small numbers explored by Kontoyiannis (2005) and HarremoEumls (2007, 2008, 2009). Ingredients in the proofs include convexity, majorization, and stochastic orders.

Includes members:
  Member "thinning entropy and the law of thin numbers":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a de bruijn identity for discrete random variables")
  Member "concavity of entropy under thinning":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "thinning photonic beamsplitting and a general discrete entropy power inequality")
  Member "on an inequality of karlin and rinott concerning weighted sums of i i d random variables":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "forward and reverse entropy power inequalities in convex geometry")
  Member "on the entropy and log concavity of compound poisson measures":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the entropy per coordinate of a random vector is highly constrained under convexity conditions")
  Member "generalized entropy power inequalities and monotonicity properties of information":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "two remarks on generalized entropy power inequalities")

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)