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 feasibility of interference alignment for mimo interference broadcast channels"):
  Abstract: In this paper, we analyze the feasibility of linear interference alignment (IA) for multi-input-multi-output (MIMO) interference broadcast channel (MIMO-IBC) with constant coefficients. We pose and prove the necessary conditions of linear IA feasibility for general MIMO-IBC. Except for the proper condition, we find another necessary condition to ensure a kind of irreducible interference to be eliminated. We then prove the necessary and sufficient conditions for a special class of MIMO-IBC, where the numbers of antennas are divisible by the number of data streams per user. Since finding an invertible Jacobian matrix is crucial for the sufficiency proof, we first analyze the impact of sparse structure and repeated structure of the Jacobian matrix. Considering that for the MIMO-IBC the sub-matrices of the Jacobian matrix corresponding to the transmit and receive matrices have different repeated structure, we find an invertible Jacobian matrix by constructing the two sub-matrices separately. We show that for the MIMO-IBC where each user has one desired data stream, a proper system is feasible. For symmetric MIMO-IBC, we provide proper but infeasible region of antenna configurations by analyzing the difference between the necessary conditions and the sufficient conditions of linear IA feasibility.

Includes members:
  Member "on the degrees of freedom achievable through interference alignment in a mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "centralized and decentralized cache aided interference management in heterogeneous parallel channels")
  Member "subspace alignment chains and the degrees of freedom of the three user mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the degrees of freedom of the miso interference broadcast channel with delayed csit")
  Member "settling the feasibility of interference alignment for the mimo interference channel the symmetric square case":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "generalized interference alignment part i theoretical framework")
  Member "spatial degrees of freedom of the multicell mimo multiple access channel":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "degrees of freedom and achievable rate of wide band multi cell multiple access channels with no csit")
  Member "geometry of the 3 user mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "genie chains exploring outer bounds on the degrees of freedom of mimo interference networks")
  Member "on feasibility of interference alignment in mimo interference networks":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "joint optimization of signal design and resource allocation in wireless d2d edge computing")
  Member "downlink interference alignment":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "optimality of treating inter cell interference as noise under finite precision csit")
  Member "on feasibility of interference alignment in mimo interference networks":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "joint optimization of signal design and resource allocation in wireless d2d edge computing")

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)