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 capacity of non coherent diamond networks"):
  Abstract: There is a vast body of work on the capacity bounds for a "coherent" wireless network, where the network channel gains are known, at least at the destination. However, there has been much less attention to the case where the network parameters (channel gains) are unknown to everyone, i.e., the non-coherent wireless network capacity. In this paper, we study the generalized degrees of freedom (gDoF) of the block-fading non-coherent diamond (parallel relay) network with asymmetric distributions of link strengths, and a coherence time of T symbol duration. We first derive an outer bound for this channel and then derive the optimal signaling structure for this outer bound. Using the optimal signaling structure we solve the outer bound optimization problem for gDoF. Using insights from our outer bound signaling solution, we devise an achievability strategy based on a novel scheme that we call train-scale quantize-map-forward. This uses training in the links from source to relays, scaling and quantizing at relays combined with non-training based schemes. We show the optimality of this scheme with respect to the outer bound in terms of gDof. In non-coherent point-to-point MIMO, where the fading channel is unknown to transmitter and receiver, an important trade-off between communication and channel learning was revealed by Zheng and Tse, by demonstrating that not all antennas available might be used as it is sub-optimal to learn all their channel parameters. Our results in this paper for the diamond network demonstrates that in certain regimes the optimal scheme uses a sub-network, demonstrating a similar trade-off between channel learning and communications. However, in other regimes it is useful to use the entire network and not use training at all in the signaling, as traditional training based schemes are sub-optimal in these regimes.

Includes members:
  Member "capacity approximations for gaussian relay networks":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the arbitrarily varying relay channel")
  Member "the approximate capacity of the gaussian n relay diamond network":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "generalized degrees of freedom of noncoherent diamond networks")
  Member "on noncoherent fading relay channels at high signal to noise ratio":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "generalized degrees of freedom of noncoherent diamond networks")
  Member "wireless network simplification the gaussian n relay diamond network":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "best relay selection in gaussian half duplex diamond networks")
  Member "hierarchical cooperation achieves optimal capacity scaling in ad hoc networks":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "wireless mesh networking with devices equipped with multi connectivity")

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)