human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "full rank solutions for the mimo gaussian wiretap channel with an average power constraint"
  Abstract: This paper considers a multiple-input multiple- output (MIMO) Gaussian wiretap channel with a transmitter, a legitimate receiver and an eavesdropper, each equipped with multiple antennas. We first study the rank of the optimal input covariance matrix that achieves the secrecy capacity of the MIMO Gaussian wiretap channel under an average power constraint. The rank and other properties of the optimal solution are derived based on certain relationships between the channel matrices for the legitimate receiver and eavesdropper. Next, by obtaining necessary and sufficient conditions on the MIMO wiretap channel parameters, we determine the conditions under which the optimal input covariance matrix is full-rank or rank-deficient. For the case that the optimal input covariance is full-rank, we fully characterize the solution. When the optimal input covariance is rank-deficient, we show that the given MIMO wiretap channel can be modeled by an equivalent wiretap channel whose optimal input covariance is full rank and achieves the same secrecy capacity as the original system. Numerical results are presented to illustrate the proposed theoretical findings.

Connected through hyperedge HE-1 (induced by source paper "intelligent reflecting surface assisted secure wireless communications with multiple transmit and multiple receive antennas"):
  with members:
    - "secure wireless communication via intelligent reflecting surface"
    - "a survey of optimization approaches for wireless physical layer security"
    - "capacity characterization for intelligent reflecting surface aided mimo communication"
    - "resource allocation for secure irs assisted multiuser miso systems"
    - "secure transmission strategy for intelligent reflecting surface enhanced wireless system"
    - "enabling secure wireless communications via intelligent reflecting surfaces"
    - "indoor signal focusing with deep learning designed reconfigurable intelligent surfaces"
    - "intelligent reflecting surface assisted non orthogonal multiple access"

Connected through hyperedge HE-2 (induced by source paper "deep learning based precoding for the mimo gaussian wiretap channel"):
  with members:
    - "a rotation based method for precoding in gaussian mimome channels"
    - "interplay between noma and other emerging technologies a survey"
    - "end to end learning of communications systems without a channel model"
    - "deep learning for the gaussian wiretap channel"
    - "deep learning in mobile and wireless networking a survey"
    - "an introduction to deep learning for the physical layer"
    - "optimal beamforming for gaussian mimo wiretap channels with two transmit antennas"
    - "deep residual learning for image recognition"

Connected through hyperedge HE-3 (induced by source paper "a rotation based method for precoding in gaussian mimome channels"):
  with members:
    - "noma an information theoretic perspective"
    - "optimal beamforming for gaussian mimo wiretap channels with two transmit antennas"
    - "optimal signaling for secure communications over gaussian mimo wiretap channels"
    - "an algorithm for global maximization of secrecy rates in gaussian mimo wiretap channels"
    - "cooperative jamming for secure communications in mimo relay networks"
    - "towards the secrecy capacity of the gaussian mimo wire tap channel the 2 2 1 channel"
    - "transmitter optimization for achieving secrecy capacity in gaussian mimo wiretap channels"
    - "the secrecy capacity of the mimo wiretap channel"

Connected through hyperedge HE-4 (induced by source paper "resource allocation strategies for secure wpcn multiantenna multicasting systems"):
  with members:
    - "physical layer security in mimo backscatter wireless systems"
    - "wireless powered communication networks an overview"
    - "optimum wirelessly powered relaying"
    - "harvest then cooperate wireless powered cooperative communications"
    - "robust beamforming for secure communication in systems with wireless information and power transfer"
    - "massive mimo multicasting in noncooperative cellular networks"
    - "wireless powered cooperative communications via a hybrid relay"
    - "user cooperation in wireless powered communication networks"

Connected through hyperedge HE-5 (induced by source paper "the secrecy capacity of gaussian mimo channels with finite memory full version"):
  with members:
    - "on the capacity of narrowband plc channels"
    - "principles of physical layer security in multiuser wireless networks a survey"
    - "source channel coding theorems for the multiple access relay channel"
    - "private broadcasting over independent parallel channels"
    - "for the grid and through the grid the role of power line communications in the smart grid"
    - "secured communication over frequency selective fading channels a practical vandermonde precoding"
    - "towards the secrecy capacity of the gaussian mimo wire tap channel the 2 2 1 channel"
    - "the capacity region of the degraded finite state broadcast channel"

Connected through hyperedge HE-6 (induced by source paper "secrecy rate of distributed cooperative mimo in the presence of multi antenna eavesdropper"):
  with members:
    - "cooperative secure transmission by exploiting social ties in random networks"
    - "on secrecy performance of antenna selection aided mimo systems against eavesdropping"
    - "optimal signaling for secure communications over gaussian mimo wiretap channels"
    - "optimization of code rates in sisome wiretap channels"
    - "secure and green swipt in distributed antenna networks with limited backhaul capacity"
    - "power allocation in mimo wiretap channel with statistical csi and finite alphabet input"
    - "on secrecy capacity of fast fading mimome wiretap channels with statistical csit"
    - "on secrecy rate of the generalized artificial noise assisted secure beamforming for wiretap channels"

Connected through hyperedge HE-7 (induced by source paper "optimal beamforming for gaussian mimo wiretap channels with two transmit antennas"):
  with members:
    - "optimal signaling for secure communications over gaussian mimo wiretap channels"
    - "an algorithm for global maximization of secrecy rates in gaussian mimo wiretap channels"
    - "principles of physical layer security in multiuser wireless networks a survey"
    - "on secrecy rate analysis of mimo wiretap channels driven by finite alphabet input"
    - "secure transmission with multiple antennas ii the mimome wiretap channel"
    - "towards the secrecy capacity of the gaussian mimo wire tap channel the 2 2 1 channel"
    - "transmitter optimization for achieving secrecy capacity in gaussian mimo wiretap channels"
    - "the secrecy capacity of the mimo wiretap channel"

Connected through hyperedge HE-8 (induced by source paper "power allocation in mimo wiretap channel with statistical csi and finite alphabet input"):
  with members:
    - "estimation in gaussian noise properties of the minimum mean square error"
    - "secrecy capacity of the gaussian wire tap channel with finite complex constellation input"
    - "on ergodic secrecy capacity for gaussian miso wiretap channels"
    - "secure transmission with multiple antennas ii the mimome wiretap channel"
    - "the secrecy capacity of the mimo wiretap channel"

Question: Please tell me which class the center node 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)