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 "dof analysis of the k user miso broadcast channel with hybrid csit"):
  Abstract: We consider a $K$-user multiple-input single-output (MISO) broadcast channel (BC) where the channel state information (CSI) of user $i(i=1,2,\ldots,K)$ may be either instantaneously perfect (P), delayed (D) or not known (N) at the transmitter with probabilities $\lambda_P^i$, $\lambda_D^i$ and $\lambda_N^i$, respectively. In this setting, according to the three possible CSIT for each user, knowledge of the joint CSIT of the $K$ users could have at most $3^K$ states. Although the results by Tandon et al. show that for the symmetric two user MISO BC (i.e., $\lambda_Q^i=\lambda_Q,\ \forall i\in \{1,2\}, Q\in \{P,D,N\}$), the Degrees of Freedom (DoF) region depends only on the marginal probabilities, we show that this interesting result does not hold in general when $K\geq3$. In other words, the DoF region is a function of all the joint probabilities. In this paper, given the marginal probabilities of CSIT, we derive an outer bound for the DoF region of the $K$-user MISO BC. Subsequently, we investigate the achievability of the outer bound in some scenarios. Finally, we show the dependence of the DoF region on the joint probabilities.

Includes members:
  Member "aligned image sets under channel uncertainty settling a conjecture by lapidoth shamai and wigger on the collapse of degrees of freedom under finite precision csit":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "secure degrees of freedom of one hop wireless networks with no eavesdropper csit")
  Member "on the degrees of freedom of the 3 user miso broadcast channel with hybrid csit":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "achievable dof regions of three user mimo broadcast channel with delayed csit")
  Member "on the degrees of freedom of the k user time correlated broadcast channel with delayed csit":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "coded federated computing in wireless networks with straggling devices and imperfect csi")
  Member "imperfect and unmatched csit is still useful for the frequency correlated miso broadcast channel":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "feedback aided coded caching for the miso bc with small caches")
  Member "on the dof region of the k user miso broadcast channel with hybrid csit":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "dof analysis of the mimo broadcast channel with alternating hybrid csit")
  Member "miso broadcast channel with imperfect and un matched csit in the frequency domain dof region and transmission strategies":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "multiuser millimeter wave beamforming strategies with quantized and statistical csit")
  Member "degrees of freedom of time correlated miso broadcast channel with delayed csit":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "rate splitting for multi antenna downlink precoder design and practical implementation")
  Member "degrees of freedom region of the miso broadcast channel with general mixed csit":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "resolving a feedback bottleneck of multi antenna coded caching")

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)