human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "the l cophenetic metric for phylogenetic trees as an interleaving distance"):
  Abstract: There are many metrics available to compare phylogenetic trees since this is a fundamental task in computational biology. In this paper, we focus on one such metric, the l∞-cophenetic metric introduced by Cardona et al. This metric works by representing a phylogenetic tree with n labeled leaves as a point in \(\mathbb {R}^{n(n+1)/2}\) known as the cophenetic vector, then comparing the two resulting Euclidean points using the l∞ distance. Meanwhile, the interleaving distance is a formal categorical construction generalized from the definition of Chazal et al., originally introduced to compare persistence modules arising from the field of topological data analysis. We show that the l∞-cophenetic metric is an example of an interleaving distance. To do this, we define phylogenetic trees as a category of merge trees with some additional structure, namely, labelings on the leaves plus a requirement that morphisms respect these labels. Then we can use the definition of a flow on this category to give an interleaving distance. Finally, we show that, because of the additional structure given by the categories defined, the map sending a labeled merge tree to the cophenetic vector is, in fact, an isometric embedding, thus proving that the l∞-cophenetic metric is an interleaving distance.

Includes members:
  Member "computational complexity of the interleaving distance":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "persistence atlas for critical point variability in ensembles")
  Member "convergence between categorical representations of reeb space and mapper":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "topoact exploring the shape of activations in deep learning")
  Member "categorified reeb graphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "intrinsic interleaving distance for merge trees")
  Member "binary adder circuits of asymptotically minimum depth linear size and fan out two":
    also connected through other hyperedges:
      (none)
  Member "computing the gromov hausdorff distance for metric trees":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "relative hausdorff distance for network analysis")
  Member "the edit distance for reeb graphs of surfaces":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "intrinsic interleaving distance for merge trees")
  Member "measuring distance between reeb graphs":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "progressive wasserstein barycenters of persistence diagrams")

Question: Please tell me which class the source paper 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.CG(Computational Geometry)