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 "convergence of hierarchical clustering and persistent homology methods on directed networks"):
  Abstract: While there has been much interest in adapting conventional clustering procedures---and in higher dimensions, persistent homology methods---to directed networks, little is known about the convergence of such methods. In order to even formulate the problem of convergence for such methods, one needs to stipulate a reasonable model for a directed network together with a flexible sampling theory for such a model. In this paper we propose and study a particular model of directed networks, and use this model to study the convergence of certain hierarchical clustering and persistent homology methods that accept any matrix of (possibly asymmetric) pairwise relations as input and produce dendrograms and persistence barcodes as outputs. We show that as points are sampled from some probability distribution, the output of each method converges almost surely to a dendrogram/barcode depending on the structure of the distribution.

Includes members:
  Member "distances and isomorphism between networks and the stability of network invariants":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "motivic clustering schemes for directed graphs")
  Member "hierarchical clustering of asymmetric networks":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "metric representations of networks a uniqueness result")
  Member "topological data analysis with bregman divergences":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on geodesic triangles with right angles in a dually flat space")
  Member "a cost function for similarity based hierarchical clustering":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "hierarchical correlation clustering and tree preserving embedding")
  Member "axiomatic construction of hierarchical clustering in asymmetric networks":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "motivic clustering schemes for directed graphs")

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)