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: "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"
  Abstract: A conjecture made by Lapidoth, Shamai and Wigger at Allerton 2005 (also an open problem presented at ITA 2006) states that the DoF of a 2 user broadcast channel, where the transmitter is equipped with 2 antennas and each user is equipped with 1 antenna, must collapse under finite precision CSIT. In this work we prove that the conjecture is true in all non-degenerate settings (e.g., where the probability density function of unknown channel coefficients exists and is bounded). The DoF collapse even when perfect channel knowledge for one user is available to the transmitter. This also settles a related recent conjecture by Tandon et al. The key to our proof is a bound on the number of codewords that can cast the same image (within noise distortion) at the undesired receiver whose channel is subject to finite precision CSIT, while remaining resolvable at the desired receiver whose channel is precisely known by the transmitter. We are also able to generalize the result along two directions. First, if the peak of the probability density function is allowed to scale as O(P^(\alpha/2)), representing the concentration of probability density (improving CSIT) due to, e.g., quantized feedback at rate (\alpha/2)\log(P), then the DoF are bounded above by 1+\alpha, which is also achievable under quantized feedback. Second, we generalize the result to the K user broadcast channel with K antennas at the transmitter and a single antenna at each receiver. Here also the DoF collapse under non-degenerate channel uncertainty. The result directly implies a collapse of DoF to unity under non-degenerate channel uncertainty for the general K-user interference and MxN user X networks as well.

Connected through hyperedge HE-1 (induced by source paper "secure degrees of freedom of one hop wireless networks with no eavesdropper csit"):
  with members:
    - "secure degrees of freedom of one hop wireless networks"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "mimo broadcast channel with an unknown eavesdropper secrecy degrees of freedom"
    - "secure degrees of freedom of k user gaussian interference channels a unified view"
    - "wireless network information flow a deterministic approach"
    - "interference alignment for secrecy"
    - "interference assisted secret communication"
    - "ergodic secret alignment"

Connected through hyperedge HE-2 (induced by source paper "degrees of freedom of the broadcast channel with hybrid csi at transmitter and receivers"):
  with members:
    - "coherence disparity in broadcast and multiple access channels"
    - "coherent product superposition for downlink multiuser mimo"
    - "secure degrees of freedom region of the two user miso broadcast channel with alternating csit"
    - "on the degrees of freedom of the 3 user miso broadcast channel with hybrid csit"
    - "the degrees of freedom region of temporally correlated mimo networks with delayed csit"
    - "degrees of freedom of time correlated miso broadcast channel with delayed csit"
    - "optimal use of current and outdated channel state information degrees of freedom of the miso bc with mixed csit"
    - "product superposition for mimo broadcast channels"

Connected through hyperedge HE-3 (induced by source paper "optimal sum dof of the k user miso bc with current and delayed feedback"):
  with members:
    - "sum rate maximization for linearly precoded downlink multiuser miso systems with partial csit a rate splitting approach"
    - "achievable dof regions of mimo networks with imperfect csit"
    - "dof analysis of the mimo broadcast channel with alternating hybrid csit"
    - "retrospective interference alignment for the mimo interference broadcast channel"
    - "dof analysis of the k user miso broadcast channel with hybrid csit"
    - "feedback and partial message side information on the semideterministic broadcast channel"
    - "the degrees of freedom region of temporally correlated mimo networks with delayed csit"
    - "on the degrees of freedom of the k user time correlated broadcast channel with delayed csit"

Connected through hyperedge HE-4 (induced by source paper "sum rate maximization for linearly precoded downlink multiuser miso systems with partial csit a rate splitting approach"):
  with members:
    - "miso networks with imperfect csit a topological rate splitting approach"
    - "robust transmission in downlink multiuser miso systems a rate splitting approach"
    - "a rate splitting strategy for massive mimo with imperfect csit"
    - "sum rate maximization for mu miso with partial csit using joint multicasting and broadcasting"
    - "rate analysis of two receiver miso broadcast channel with finite rate feedback a rate splitting approach"
    - "achieving max min fairness for mu miso with partial csit a multicast assisted transmission"
    - "optimal multiuser transmit beamforming a difficult problem with a simple solution structure"
    - "ammse optimization for multiuser miso systems with imperfect csit and perfect csir"

Connected through hyperedge HE-5 (induced by source paper "miso networks with imperfect csit a topological rate splitting approach"):
  with members:
    - "sum rate maximization for linearly precoded downlink multiuser miso systems with partial csit a rate splitting approach"
    - "robust transmission in downlink multiuser miso systems a rate splitting approach"
    - "dof analysis of the mimo broadcast channel with alternating hybrid csit"
    - "rate analysis of two receiver miso broadcast channel with finite rate feedback a rate splitting approach"
    - "topological interference management with transmitter cooperation"
    - "topological interference management through index coding"
    - "multilevel topological interference management"
    - "imperfect and unmatched csit is still useful for the frequency correlated miso broadcast channel"

Connected through hyperedge HE-6 (induced by source paper "dof analysis of the mimo broadcast channel with alternating hybrid csit"):
  with members:
    - "miso broadcast channel with hybrid csit beyond two users"
    - "distributed space time interference alignment with moderately delayed csit"
    - "on the degrees of freedom of the 3 user miso broadcast channel with hybrid csit"
    - "the degrees of freedom region of temporally correlated mimo networks with delayed csit"
    - "on the degrees of freedom of the k user time correlated broadcast channel with delayed csit"
    - "imperfect and unmatched csit is still useful for the frequency correlated miso broadcast channel"
    - "on the dof region of the k user miso broadcast channel with hybrid csit"
    - "miso broadcast channel with imperfect and un matched csit in the frequency domain dof region and transmission strategies"

Connected through hyperedge HE-7 (induced by source paper "degrees of freedom of the two user mimo broadcast channel with private and common messages under hybrid csit models"):
  with members:
    - "miso broadcast channel with hybrid csit beyond two users"
    - "degrees of freedom of the mimo 2x2 interference network with general message sets"
    - "feasibility of interference alignment for the mimo interference channel"
    - "on the degrees of freedom of the 3 user miso broadcast channel with hybrid csit"
    - "the degrees of freedom region of temporally correlated mimo networks with delayed csit"
    - "on the dof region of the k user miso broadcast channel with hybrid csit"
    - "degrees of freedom of time correlated miso broadcast channel with delayed csit"
    - "fundamental limits of caching"

Connected through hyperedge HE-8 (induced by source paper "achievable dof regions of mimo networks with imperfect csit"):
  with members:
    - "elevated multiplexing and signal space partitioning in the 2 user mimo ic with partial csit"
    - "sum rate maximization for linearly precoded downlink multiuser miso systems with partial csit a rate splitting approach"
    - "dof analysis of the mimo broadcast channel with alternating hybrid csit"
    - "rate analysis of two receiver miso broadcast channel with finite rate feedback a rate splitting approach"
    - "the degrees of freedom region of temporally correlated mimo networks with delayed csit"
    - "optimal dof region of the two user miso bc with general alternating csit"
    - "imperfect and unmatched csit is still useful for the frequency correlated miso broadcast channel"
    - "miso broadcast channel with imperfect and un matched csit in the frequency domain dof region and transmission strategies"

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)