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 "on the entropy of couplings"):
  Abstract: Abstract   In this paper, some general properties of Shannon information measures are investigated over sets of probability distributions with restricted marginals. Certain optimization problems associated with these functionals are shown to be NP-hard, and their special cases are found to be essentially information-theoretic restatements of well-known computational problems, such as the  Subset sum  and the  3-Partition . The notion of minimum entropy coupling is introduced and its relevance is demonstrated in information-theoretic, computational, and statistical contexts. Finally, a family of pseudometrics (on the space of discrete probability distributions) defined by these couplings is studied, in particular their relation to the total variation distance, and a new characterization of the conditional entropy is given.

Includes members:
  Member "some properties of renyi entropy over countably infinite alphabets":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "generalized fano type inequality for countably infinite systems with list decoding")
  Member "entropy bounds for discrete random variables via maximal coupling":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "minimum entropy couplings and their applications")
  Member "on the hardness of entropy minimization and related problems":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "tropical probability theory and an application to the entropic cone")
  Member "minimum entropy combinatorial optimization problems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "minimum entropy submodular optimization and fairness in cooperative games")
  Member "finding the maximizers of the information divergence from an exponential family":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "stochastic feedforward neural networks universal approximation")
  Member "a metric between probability distributions on finite sets of different cardinalities and applications to order reduction":
    also connected through other hyperedges:
      - Hyperedge HE-6 (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)