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 the separability of parallel miso broadcast channels under partial csit a degrees of freedom region perspective"):
  Abstract: We study the $K$-user, $M$-subchannel parallel multiple-input-single-output (MISO) broadcast channel (BC) under arbitrary levels of partial channel state information at the transmitter (CSIT). We show that the parallel subchannels constituting this setting are separable from a degrees-of-freedom (DoF) region perspective if and only if the partial CSIT pattern is totally ordered. This total order condition corresponds to users abiding by the same order, with respect to their CSIT uncertainty levels, in each of the parallel subchannels. In this case, the entire DoF region is achievable using simple separate coding, where a single-subchannel-type transmission scheme is employed in each subchannel. To show this separability result, we first derive an outer bound for the DoF region by extending the aligned image sets approach of Davoodi and Jafar to the considered setting. We then show that this outer bound coincides with the inner bound achieved through separate coding, given by the Minkowski sum of $M$ single-subchannel DoF regions, under the total order condition, hence settling the if part of the main theorem. To prove the only if part of the theorem, we identify a set of DoF tuples achievable through joint coding across subchannels, yet not achievable through separate coding whenever the total order condition is violated. Moreover, we also highlight the implications of our main result on the design of CSIT feedback schemes for multi-carrier multi-antenna wireless networks.

Includes members:
  Member "degrees of freedom region of the m n 1 n 2 mimo broadcast channel with partial csit an application of sum set inequalities based on aligned image sets":
    also connected through other hyperedges:
      (none)
  Member "towards an extremal network theory robust gdof gain of transmitter cooperation over tin":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "optimality of treating inter cell interference as noise under finite precision csit")
  Member "dof region of the miso bc with partial csit proof by inductive fourier motzkin elimination":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "beyond dirty paper coding for multi antenna broadcast channel with partial csit a rate splitting approach")
  Member "optimality of simple layered superposition coding in the 3 user miso bc with finite precision csit":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "optimality of treating inter cell interference as noise under finite precision csit")
  Member "on the optimality of treating inter cell interference as noise in uplink cellular networks":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "optimality of treating inter cell interference as noise under finite precision csit")
  Member "on the dof of parallel miso bcs with partial csit total order and separability":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "generalized degrees of freedom of the symmetric cache aided miso broadcast channel with partial csit")
  Member "optimal dof region of the k user miso bc with partial csit":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a rate splitting strategy for mitigating intra cell pilot contamination in massive mimo")
  Member "elevated multiplexing and signal space partitioning in the 2 user mimo ic with partial csit":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "beyond dirty paper coding for multi antenna broadcast channel with partial csit a rate splitting 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)