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: "dimensionally tight running time bounds for second order hamiltonian monte carlo"
  Abstract: Hamiltonian Monte Carlo (HMC) is a widely deployed method to sample from a given high-dimensional distribution in Statistics and Machine learning. HMC is known to run very efficiently in practice and its second-order variant was conjectured to run in $d^{1/4}$ steps in 1988. Here we show that this conjecture is true when sampling from strongly log-concave target distributions that satisfy weak third-order regularity properties associated with the input data. This improves upon a recent result that shows that the number of steps of the second-order discretization of HMC grows like $d^{1/4}$ under the much stronger assumption that the distribution is separable and its first four Fr\'echet derivatives are bounded. Our result also compares favorably with the best available running time bounds for the class of strongly log-concave distributions, namely the current best bounds for both the overdamped and underdamped Langevin, and first-order HMC Algorithms, which all grow like $d^{{1}/{2}}$ with the dimension. Key to our result is a new regularity condition for the Hessian that may be of independent interest. The class of distributions that satisfy this condition are natural and include posterior distributions used in Bayesian logistic "ridge" regression.

Connected through hyperedge HE-1 (induced by source paper "nonconvex sampling with the metropolis adjusted langevin algorithm"):
  with members:
    - "online sampling from log concave distributions"
    - "dimensionally tight bounds for second order hamiltonian monte carlo"
    - "non convex learning via stochastic gradient langevin dynamics a nonasymptotic analysis"
    - "a hitting time analysis of stochastic gradient langevin dynamics"
    - "convergence rate of riemannian hamiltonian monte carlo and faster polytope volume computation"
    - "efficient learning of linear separators under bounded noise"

Connected through hyperedge HE-2 (induced by source paper "algorithmic theory of odes and sampling from well conditioned logconcave densities"):
  with members:
    - "relative error tensor low rank approximation"
    - "non convex learning via stochastic gradient langevin dynamics a nonasymptotic analysis"
    - "a hitting time analysis of stochastic gradient langevin dynamics"
    - "convergence rate of riemannian hamiltonian monte carlo and faster polytope volume computation"
    - "geodesic walks in polytopes"
    - "new frameworks for offline and streaming coreset constructions"
    - "input sparsity and hardness for robust subspace approximation"
    - "complexity theory for operators in analysis"

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.DS(Data Structures and Algorithms)