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 "dual loomis whitney inequalities via information theory"):
  Abstract: We establish lower bounds on the volume and the surface area of a geometric body using the size of its slices along different directions. In the first part of the paper, we derive volume bounds for convex bodies using generalized subadditivity properties of entropy combined with entropy bounds for log-concave random variables. In the second part, we investigate a new notion of Fisher information which we call the     L 1    -Fisher information and show that certain superadditivity properties of the     L 1    -Fisher information lead to lower bounds for the surface areas of polyconvex sets in terms of its slices.

Includes members:
  Member "intrinsic entropies of log concave distributions":
    also connected through other hyperedges:
      (none)
  Member "f divergence inequalities":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on implicit regularization in beta vaes")
  Member "the entropy per coordinate of a random vector is highly constrained under convexity conditions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "constrained functional value under general convexity conditions with applications to distributed simulation")
  Member "information inequalities for joint distributions with interpretations and applications":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "secret key capacity for multipleaccess channel with public feedback")
  Member "generalized entropy power inequalities and monotonicity properties of information":
    also connected through other hyperedges:
      - Hyperedge HE-4 (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)