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: "fast numerical nonlinear fourier transforms"
  Abstract: The nonlinear Fourier transform, which is also known as the forward scattering transform, decomposes a periodic signal into nonlinearly interacting waves. In contrast to the common Fourier transform, these waves no longer have to be sinusoidal. Physically relevant waveforms are often available for the analysis instead. The details of the transform depend on the waveforms underlying the analysis, which in turn are specified through the implicit assumption that the signal is governed by a certain evolution equation. For example, water waves generated by the Korteweg–de Vries equation can be expressed in terms of cnoidal waves. Light waves in optical fiber governed by the nonlinear Schrodinger equation (NSE) are another example. Nonlinear analogs of classic problems such as spectral analysis and filtering arise in many applications, with information transmission in optical fiber, as proposed by Yousefi and Kschischang, being a very recent one. The nonlinear Fourier transform is eminently suited to address them—at least from a theoretical point of view. Although numerical algorithms are available for computing the transform, a fast nonlinear Fourier transform that is similarly effective as the fast Fourier transform is for computing the common Fourier transform has not been available so far. The goal of this paper is to address this problem. Two fast numerical methods for computing the nonlinear Fourier transform with respect to the NSE are presented. The first method achieves a runtime of    $O(D^{2})$    floating point operations, where    $D$    is the number of sample points. The second method applies only to the case where the NSE is defocusing, but it achieves an    $O(D\log ^{2}D)$    runtime. Extensions of the results to other evolution equations are discussed as well.

Connected through hyperedge HE-1 (induced by source paper "a signal space distance measure for nondispersive optical fiber"):
  with members:
    - "towards a non stochastic information theory"
    - "autocorrelation function for dispersion free fiber channels with distributed amplification"
    - "upper bound on the capacity of the nonlinear schr odinger channel"
    - "information transmission using the nonlinear fourier transform part iii spectrum modulation"
    - "design of apsk constellations for coherent optical channels with nonlinear phase noise"
    - "a nonstochastic information theory for communication and state estimation"
    - "optimizing constellations for single subcarrier intensity modulated optical systems"
    - "on the per sample capacity of nondispersive optical fibers"

Connected through hyperedge HE-2 (induced by source paper "efficient nonlinear fourier transform algorithms of order four on equispaced grid"):
  with members:
    - "information transmission using the nonlinear fourier transform part i mathematical tools"

Connected through hyperedge HE-3 (induced by source paper "nonlinear fourier transform of truncated multi soliton pulses"):
  with members:
    - "why noise and dispersion may seriously hamper nonlinear frequency division multiplexing"
    - "probabilistic eigenvalue shaping for nonlinear fourier transform transmission"
    - "capacity lower bounds of the noncentral chi channel with applications to soliton amplitude modulation"
    - "nonlinear frequency division multiplexing"
    - "demonstration of fully nonlinear spectrum modulated system in the highly nonlinear optical transmission regime"

Connected through hyperedge HE-4 (induced by source paper "an efficient nonlinear fourier transform algorithm for detection of eigenvalues from continuous spectrum"):
  with members:
    - "information transmission using the nonlinear fourier transform part i mathematical tools"

Connected through hyperedge HE-5 (induced by source paper "polarization division multiplexing based on the nonlinear fourier transform"):
  with members:
    - "signaling on the continuous spectrum of nonlinear optical fiber"
    - "why noise and dispersion may seriously hamper nonlinear frequency division multiplexing"
    - "demonstration of fully nonlinear spectrum modulated system in the highly nonlinear optical transmission regime"
    - "information transmission using the nonlinear fourier transform part ii numerical methods"
    - "information transmission using the nonlinear fourier transform part i mathematical tools"
    - "information transmission using the nonlinear fourier transform part iii spectrum modulation"

Connected through hyperedge HE-6 (induced by source paper "signaling on the continuous spectrum of nonlinear optical fiber"):
  with members:
    - "information transmission using the nonlinear fourier transform part ii numerical methods"
    - "information transmission using the nonlinear fourier transform part i mathematical tools"
    - "information transmission using the nonlinear fourier transform part iii spectrum modulation"

Connected through hyperedge HE-7 (induced by source paper "on time bandwidth product of multi soliton pulses"):
  with members:
    - "experimental demonstration of nonlinear frequency division multiplexed transmission"

Connected through hyperedge HE-8 (induced by source paper "linear and nonlinear frequency division multiplexing"):
  with members:
    - "a novel detection strategy for nonlinear frequency division multiplexing"
    - "decision feedback detection strategy for nonlinear frequency division multiplexing"
    - "communication using eigenvalues of higher multiplicity of the nonlinear fourier transform"
    - "the kolmogorov zakharov model for optical fiber communication"
    - "correlated eigenvalues optical communications"
    - "why noise and dispersion may seriously hamper nonlinear frequency division multiplexing"
    - "polarization division multiplexing based on the nonlinear fourier transform"
    - "nonlinear frequency division multiplexing in the focusing regime"

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)