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 "secure degrees of freedom of mimo x channels with output feedback and delayed csit"):
  Abstract: We investigate the problem of secure transmission over a two-user multi-input multi-output (MIMO) X-channel in which channel state information is provided with one-unit delay to both transmitters (CSIT), and each receiver feeds back its channel output to a different transmitter. We refer to this model as MIMO X-channel with asymmetric output feedback and delayed CSIT. The transmitters are equipped with M antennas each, and the receivers are equipped with N antennas each. For this model, accounting for both messages at each receiver, we characterize the optimal sum secure degrees of freedom (SDoF) region. We show that, in the presence of asymmetric output feedback and delayed CSIT, the sum SDoF region of the MIMO X-channel is the same as the SDoF region of a two-user MIMO BC with 2M antennas at the transmitter, N antennas at each receiver, and delayed CSIT. This result shows that, upon availability of asymmetric output feedback and delayed CSIT, there is no performance loss in terms of sum SDoF due to the distributed nature of the transmitters. Next, we show that this result also holds if only output feedback is conveyed to the transmitters, but in a symmetric manner, i.e., each receiver feeds back its output to both transmitters and no CSIT. We also study the case in which only asymmetric output feedback is provided to the transmitters, i.e., without CSIT, and derive a lower bound on the sum SDoF for this model. Furthermore, we specialize our results to the case in which there are no security constraints. In particular, similar to the setting with security constraints, we show that the optimal sum DoF region of the (M,M,N,N)-MIMO X-channel with asymmetric output feedback and delayed CSIT is the same as the DoF region of a two-user MIMO BC with 2M antennas at the transmitter, N antennas at each receiver, and delayed CSIT. We illustrate our results with some numerical examples.

Includes members:
  Member "on the degrees of freedom of k user siso interference and x channels with delayed csit":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "capacity results for intermittent x channels with delayed channel state feedback")
  Member "degrees of freedom region of the mimo interference channel with output feedback and delayed csit":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "mixed timescale online phy caching for dual mode mimo cooperative networks")
  Member "topological interference management with alternating connectivity":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "capacity results for intermittent x channels with delayed channel state feedback")
  Member "multiaccess channel with partially cooperating encoders and security constraints":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "secure lossy source coding for some classes of helper and gray wyner models")
  Member "new results on multiple input multiple output broadcast channels with confidential messages":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "vector gaussian successive refinement with degraded side information")
  Member "on x channels with feedback and delayed csi":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on the degrees of freedom of mimo x networks with non cooperation transmitters")
  Member "secure communication over parallel relay channel":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "the arbitrarily varying relay channel")
  Member "index coding an interference alignment perspective":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "conditional disclosure of secrets a noise and signal alignment approach")

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)