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 "symmetry outer bounds and code constructions a computer aided investigation on the fundamental limits of caching"):
  Abstract: We considered the optimal memory-transmission-rate tradeoff of caching systems. Different from the conventional analytical approach usually seen in the information theory literature, we rely on a computer-aided approach in this investigation. The linear programming (LP) outer bound of the entropy space serves as the starting point of this approach, however our effort goes significantly beyond using it to prove information inequalities. We first identify and formalize the symmetry structure in the problem, which enables us to show the existence of optimal symmetric solutions. A symmetry-reduced linear program is then used to identify the boundary of the memory-transmission-rate tradeoff for several simple cases, for which we obtain a set of tight outer bounds. General hypotheses on the optimal tradeoff region are formed from these computed data, which are then analytically proved. This leads to a complete characterization of the optimal tradeoff for systems with only two users, and certain partial characterization for systems with only two files. Next, we show that by carefully analyzing the joint entropy structure of the outer bounds for certain cases, a novel code construction can be reverse-engineered, which eventually leads to a general class of codes. Finally, we show that strong outer bounds can be computed through strategically relaxing the LP. This allows us firstly to deduce generic characteristic of the converse proof, and secondly to compute outer bounds for larger problem cases, despite the seemingly impossible computation scale.

Includes members:
  Member "the exact rate memory tradeoff for caching with uncoded prefetching":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "fundamental limits of wireless caching under mixed cacheable and uncacheable traffic")
  Member "coded caching for a large number of users":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "an index coding approach to caching with uncoded cache placement")
  Member "caching and delivery via interference elimination":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "an index coding approach to caching with uncoded cache placement")
  Member "improved approximation of storage rate tradeoff for caching with multiple demands":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on optimal load memory tradeoff of cache aided scalar linear function retrieval")
  Member "on caching with more users than files":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "subexponential and linear subpacketization coded caching via line graphs and projective geometry")
  Member "critical database size for effective caching":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "an index coding approach to caching with uncoded cache placement")
  Member "a note on the rate region of exact repair regenerating codes":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "on the achievability region of regenerating codes for multiple erasures")
  Member "order optimal rate of caching and coded multicasting with random demands":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "an index coding approach to caching with uncoded cache placement")

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)