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 "multi cell random beamforming achievable rate and degrees of freedom region"):
  Abstract: Random beamforming (RBF) is a practically favorable transmission scheme for multiuser multiantenna downlink systems since it requires only partial channel state information (CSI) at the transmitter. Under the conventional single-cell setup, RBF is known to achieve the optimal sum-capacity scaling law as the number of users goes to infinity, thanks to the multiuser diversity enabled transmission scheduling that virtually eliminates the intra-cell interference. In this paper, we extend the study of RBF to a more practical multi-cell downlink system with single-antenna receivers subject to the additional inter-cell interference (ICI). First, we consider the case of finite signal-to-noise ratio (SNR) at each receiver. We derive a closed-form expression of the achievable sum-rate with the multi-cell RBF, based upon which we show an asymptotic sum-rate scaling law as the number of users goes to infinity. Next, we consider the high-SNR regime and for tractable analysis assume that the number of users in each cell scales in a certain order with the per-cell SNR. Under this setup, we characterize the achievable degrees of freedom (DoF) (which is defined as the sum-rate normalized by the logarithm of the SNR as SNR goes to infinity) for the single-cell case with RBF. Then, we extend the analysis to the multi-cell RBF case by characterizing the DoF region, which consists of all the achievable DoF tuples for all the cells subject to their mutual ICI. It is shown that the DoF region characterization provides a useful guideline on how to design a cooperative multi-cell RBF system to achieve optimal throughput tradeoffs among different cells. Furthermore, our results reveal that the multi-cell RBF scheme achieves the “interference-free” DoF region upper bound for the multi-cell system, provided that the per-cell number of users has a sufficiently large scaling order with the SNR. Our result thus confirms the optimality of multi-cell RBF in this regime even without the complete CSI at the transmitter, as compared to other full-CSI requiring transmission schemes such as interference alignment.

Includes members:
  Member "network mimo with linear zero forcing beamforming large system analysis impact of channel estimation and reduced complexity scheduling":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "joint user selection power allocation and precoding design with imperfect csit for multi cell mu mimo downlink systems")
  Member "multi cell mimo downlink with cell cooperation and fair scheduling a large system limit analysis":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "joint user selection power allocation and precoding design with imperfect csit for multi cell mu mimo downlink systems")
  Member "optimal distributed beamforming for miso interference channels":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "multiuser wirelessly powered backscatter communications nonlinearity waveform design and sinr energy tradeoff")
  Member "base station cooperation on the downlink large system analysis":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "large scale beamforming for massive mimo via randomized sketching")
  Member "cooperative interference management with miso beamforming":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "intelligent reflecting surface aided multiple access capacity region and deployment strategy")
  Member "cooperative multi cell block diagonalization with per base station power constraints":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "cooperative downlink interference transmission and cancellation for cellular connected uav a divide and conquer approach")
  Member "on gaussian mimo bc mac duality with multiple transmit covariance constraints":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "the capacity and optimal signaling for gaussian mimo channels under interference constraints full version")
  Member "degrees of freedom of the k user m times n mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "noma an information theoretic perspective")

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)