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 "a feasibility test for linear interference alignment in mimo channels with constant coefficients"):
  Abstract: In this paper, we consider the feasibility of linear interference alignment (IA) for multiple-input multiple-output (MIMO) channels with constant coefficients for any number of users, antennas and streams per user; and propose a polynomial-time test for this problem. Combining algebraic geometry techniques with differential topology ones, we first prove a result that generalizes those previously published on this topic. Specifically, we consider the input set (complex projective space of MIMO interference channels), the output set (precoder and decoder Grassmannians) and the solution set (channels, decoders and precoders satisfying the IA polynomial equations), not only as algebraic sets but also as smooth compact manifolds. Using this mathematical framework, we prove that the linear alignment problem is feasible when the algebraic dimension of the solution variety is larger than or equal to the dimension of the input space and the linear mapping between the tangent spaces of both smooth manifolds given by the first projection is generically surjective. If that mapping is not surjective, then the solution variety projects into the input space in a singular way and the projection is a zero-measure set. This result naturally yields a simple feasibility test, which amounts to checking the rank of a matrix. We also provide an exact arithmetic version of the test, which proves that testing the feasibility of IA for generic MIMO channels belongs to the bounded-error probabilistic polynomial (BPP) complexity class.

Includes members:
  Member "the feasibility conditions for interference alignment in mimo networks":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "topological interference management with user admission control via riemannian optimization")
  Member "on the degrees of freedom achievable through interference alignment in a mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-2 (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-3 (induced by source paper "on the degrees of freedom of the miso interference broadcast channel with delayed csit")
  Member "dynamic interference mitigation for generalized partially connected quasi static mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "interference alignment via message passing")
  Member "interference alignment for the k user mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "achievable dof delay trade offs for the k user mimo interference channel with delayed csit")
  Member "interference alignment as a rank constrained rank minimization":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "generalized low rank optimization for topological cooperation in ultra dense networks")
  Member "on feasibility of interference alignment in mimo interference networks":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "joint optimization of signal design and resource allocation in wireless d2d edge computing")
  Member "linear transceiver design for interference alignment complexity and computation":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "iterative distributed minimum total mse approach for secure communications in mimo interference channels")

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)