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: "a lower bound for fourier transform computation in a linear model over 2x2 unitary gates using matrix entropy"
  Abstract: Obtaining a non-trivial (super-linear) lower bound for computation of the Fourier transform in the linear circuit model has been a long standing open problem. All lower bounds so far have made strong restrictions on the computational model. One of the most well known results, by Morgenstern from 1973, provides an $\Omega(n \log n)$ lower bound for the \emph{unnormalized} FFT when the constants used in the computation are bounded. The proof uses a potential function related to a determinant. The determinant of the unnormalized Fourier transform is $n^{n/2}$, and thus by showing that it can grow by at most a constant factor after each step yields the result. #R##N#This classic result, however, does not explain why the \emph{normalized} Fourier transform, which has a unit determinant, should take $\Omega(n\log n)$ steps to compute. In this work we show that in a layered linear circuit model restricted to unitary $2\times 2$ gates, one obtains an $\Omega(n\log n)$ lower bound. The well known FFT works in this model. The main argument concluded from this work is that a potential function that might eventually help proving the $\Omega(n\log n)$ conjectured lower bound for computation of Fourier transform is not related to matrix determinant, but rather to a notion of matrix entropy.

Connected through hyperedge HE-1 (induced by source paper "the complexity of computing almost unitary matrices with eps copies of the fourier transform"):
  with members:
    - "paraunitary matrices entropy algebraic condition number and fourier computation"
    - "even faster integer multiplication"
    - "improved matrix algorithms via the subsampled randomized hadamard transform"

Connected through hyperedge HE-2 (induced by source paper "paraunitary matrices entropy algebraic condition number and fourier computation"):
  with members:
    - "the complexity of computing a fourier perturbation"
    - "the johnson lindenstrauss lemma is optimal for linear dimensionality reduction"
    - "an n log n lower bound for fourier transform computation in the well conditioned model"

Connected through hyperedge HE-3 (induced by source paper "the complexity of computing a fourier perturbation"):
  with members:
    - "even faster integer multiplication"
    - "improved matrix algorithms via the subsampled randomized hadamard transform"

Connected through hyperedge HE-4 (induced by source paper "tighter fourier transform complexity tradeoffs"):
  with members:
    - "an n log n lower bound for fourier transform computation in the well conditioned model"
    - "new and improved johnson lindenstrauss embeddings via the restricted isometry property"

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.CC(Computational Complexity)