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 "asymptotic coupling and its applications in information theory"):
  Abstract: A coupling of two distributions $P_{X}$ and $P_{Y}$ is a joint distribution $P_{XY}$ with marginal distributions equal to $P_{X}$ and $P_{Y}$. Given marginals $P_{X}$ and $P_{Y}$ and a real-valued function $f(P_{XY})$ of the joint distribution $P_{XY}$, what is its minimum over all couplings $P_{XY}$ of $P_{X}$ and $P_{Y}$? We study the asymptotics of such coupling problems with different $f$'s. These include the maximal coupling, minimum distance coupling, maximal guessing coupling, and minimum entropy coupling problems. We characterize the limiting values of these coupling problems as the number of copies of $X$ and $Y$ tends to infinity. We show that they typically converge at least exponentially fast to their limits. Moreover, for the problems of maximal coupling and minimum excess-distance probability coupling, we also characterize (or bound) the optimal convergence rates (exponents). Furthermore, for the maximal guessing coupling problem we show that it is equivalent to the probability distribution approximation problem. Therefore, some existing results the latter problem can be used to derive the asymptotics of the maximal guessing coupling problem. We also study the asymptotics of the maximal guessing coupling problem for two \emph{general} sources and a generalization of this problem, named the \emph{maximal guessing coupling through a channel problem}. We apply the preceding results to several new information-theoretic problems, including exact intrinsic randomness, exact resolvability, channel capacity with input distribution constraint, and perfect stealth and secrecy communication.

Includes members:
  Member "divergence scaling of fixed length binary output one to one distribution matching":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "shaped on off keying using polar codes")
  Member "measuring secrecy by the probability of a successful guess":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "an operational approach to information leakage")
  Member "fundamental limits of communication with low probability of detection":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "keyless covert communication via channel state information")
  Member "distributed simulation of continuous random variables":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "constrained functional value under general convexity conditions with applications to distributed simulation")
  Member "covert communication over noisy channels a resolvability perspective":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "keyless covert communication via channel state information")
  Member "generalized common information common information extraction and private sources synthesis":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on exact and infty r enyi common informations")
  Member "source channel secrecy for shannon cipher system":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "joint source channel secrecy using uncoded schemes towards secure source broadcast")
  Member "on the entropy of couplings":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "minimum entropy couplings and their applications")

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)