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 "evaluation of marton s inner bound for the general broadcast channel"):
  Abstract: The best known inner bound on the two-receiver general broadcast channel without a common message is due to Marton [3]. This result was subsequently generalized in [p. 391, Problem 10(c) 2] and [4] to broadcast channels with a common message. However the latter region is not computable (except in certain special cases) as no bounds on the cardinality of its auxiliary random variables exist. Nor is it even clear that the inner bound is a closed set. The main obstacle in proving cardinality bounds is the fact that the traditional use of the Carath\'{e}odory theorem, the main known tool for proving cardinality bounds, does not yield a finite cardinality result. One of the main contributions of this paper is the introduction of a new tool based on an identity that relates the second derivative of the Shannon entropy of a discrete random variable (under a certain perturbation) to the corresponding Fisher information. In order to go beyond the traditional Carath\'{e}odory type arguments, we identify certain properties that the auxiliary random variables corresponding to the extreme points of the inner bound need to satisfy. These properties are then used to establish cardinality bounds on the auxiliary random variables of the inner bound, thereby proving the computability of the region, and its closedness. #R##N#Lastly, we establish a conjecture of \cite{NairZizhou} that Marton's inner bound and the recent outer bound of Nair and El Gamal do not match in general.

Includes members:
  Member "evaluation of marton s inner bound for the general broadcast channel":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the direction of discrimination an information theoretic analysis of disparate impact in machine learning")
  Member "the capacity region of classes of product broadcast channels":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "outer bounds on the admissible source region for broadcast channels with correlated sources")
  Member "an information inequality and evaluation of marton s inner bound for binary input broadcast channels":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "evaluation of marton s inner bound for the general broadcast channel")
  Member "an information inequality for the bssc channel":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "evaluation of marton s inner bound for the general broadcast channel")
  Member "an outer bound for 2 receiver discrete memoryless broadcast channels":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "evaluation of marton s inner bound for the general broadcast channel")
  Member "rate regions for relay broadcast channels":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "sharp bounds for mutual covering")

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)