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 "order optimal rate of caching and coded multicasting with random demands"):
  Abstract: We consider the canonical {\em shared link network} formed by a source node, hosting a library of $m$ information messages (files), connected via a noiseless common link to $n$ destination nodes (users), each with a cache of size M files. Users request files at random and independently, according to a given a-priori demand distribution $\qv$. A coding scheme for this network consists of a caching placement (i.e., a mapping of the library files into the user caches) and delivery scheme (i.e., a mapping for the library files and user demands into a common multicast codeword) such that, after the codeword transmission, all users can retrieve their requested file. The rate of the scheme is defined as the {\em average} codeword length normalized with respect to the length of one file, where expectation is taken over the random user demands. For the same shared link network, in the case of deterministic demands, the optimal min-max rate has been characterized within a uniform bound, independent of the network parameters. In particular, fractional caching (i.e., storing file segments) and using linear network coding has been shown to provide a min-max rate reduction proportional to 1/M with respect to standard schemes such as unicasting or "naive" uncoded multicasting. The case of random demands was previously considered by applying the same order-optimal min-max scheme separately within groups of files requested with similar probability. However, no order-optimal guarantee was provided for random demands under the average rate performance criterion. In this paper, we consider the random demand setting and provide general achievability and converse results. In particular, we consider a family of schemes that combine random fractional caching according to a probability distribution $\pv$ that depends on the demand distribution $\qv$, with a linear coded delivery scheme based on ...

Includes members:
  Member "wireless device to device caching networks basic principles and system performance":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "joint optimization of file placement and delivery in cache assisted wireless networks with limited lifetime and cache space")
  Member "content caching and delivery over heterogeneous wireless networks":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "adding transmitters dramatically boosts coded caching gains for finite file sizes")
  Member "caching aided coded multicasting with multiple random requests":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on optimal load memory tradeoff of cache aided scalar linear function retrieval")
  Member "finite length analysis of caching aided coded multicasting":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "subexponential and linear subpacketization coded caching via line graphs and projective geometry")
  Member "fundamental limits of caching with secure delivery":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on coded caching with private demands")
  Member "on fundamental trade offs of device to device communications in large wireless networks":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "d2d aware device caching in mmwave cellular networks")
  Member "an efficient multiple groupcast coded multicasting scheme for finite fractional caching":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "decentralized asynchronous coded caching design and performance analysis in fog radio access networks")
  Member "coded caching for delay sensitive content":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "decentralized asynchronous coded caching design and performance analysis in fog radio access networks")

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)