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 "mapping the region of entropic vectors with support enumeration information geometry"):
  Abstract: The region of entropic vectors is a convex cone that has been shown to be at the core of many fundamental limits for problems in multiterminal data compression, network coding, and multimedia transmission. This cone has been shown to be non-polyhedral for four or more random variables, however its boundary remains unknown for four or more discrete random variables. Methods for specifying probability distributions that are in faces and on the boundary of the convex cone are derived, then utilized to map optimized inner bounds to the unknown part of the entropy region. The first method utilizes tools and algorithms from abstract algebra to efficiently determine those supports for the joint probability mass functions for four or more random variables that can, for some appropriate set of non-zero probabilities, yield entropic vectors in the gap between the best known inner and outer bounds. These supports are utilized, together with numerical optimization over non-zero probabilities, to provide inner bounds to the unknown part of the entropy region. Next, information geometry is utilized to parameterize and study the structure of probability distributions on these supports yielding entropic vectors in the faces of entropy and in the unknown part of the entropy region.

Includes members:
  Member "entropy region and convolution":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "how to use undiscovered information inequalities direct applications of the copy lemma")
  Member "equivalence of two proof techniques for non shannon type inequalities":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "how to use undiscovered information inequalities direct applications of the copy lemma")
  Member "finite p groups entropy vectors and the ingleton inequality for nilpotent groups":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the ingleton violations in finite groups")
  Member "non shannon information inequalities in four random variables":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on the storage cost of private information retrieval")
  Member "linear rank inequalities on five or more variables":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "characteristic dependent linear rank inequalities via complementary vector spaces")
  Member "mission impossible computing the network coding capacity region":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "linear network coding for two unicast z networks a commutative algebraic perspective and fundamental limits")
  Member "a projection method for derivation of non shannon type information inequalities":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "partition symmetrical entropy functions")
  Member "entropy vectors and network codes":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "on multi source networks enumeration rate region computation and hierarchy")

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)