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 "random walks on simplicial complexes and the normalized hodge 1 laplacian"):
  Abstract: Focusing on coupling between edges, we generalize the relationship between the normalized graph Laplacian and random walks on graphs by devising an appropriate normalization for the Hodge Laplacian -- the generalization of the graph Laplacian for simplicial complexes -- and relate this to a random walk on edges. Importantly, these random walks are intimately connected to the topology of the simplicial complex, just as random walks on graphs are related to the topology of the graph. This serves as a foundational step towards incorporating Laplacian-based analytics for higher-order interactions. We demonstrate how to use these dynamics for data analytics that extract information about the edge-space of a simplicial complex that complements and extends graph-based analysis. Specifically, we use our normalized Hodge Laplacian to derive spectral embeddings for examining trajectory data of ocean drifters near Madagascar and also develop a generalization of personalized PageRank for the edge-space of simplicial complexes to analyze a book co-purchasing dataset.

Includes members:
  Member "graph based semi supervised active learning for edge flows":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "alpine active link prediction using network embedding")
  Member "flow smoothing and denoising graph signal processing in the edge space":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "graph based semi supervised active learning for edge flows")
  Member "simplicial closure and higher order link prediction":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "hypergraph motifs concepts algorithms and discoveries")
  Member "centralities in simplicial complexes":
    also connected through other hyperedges:
      (none)
  Member "centrality measures for graphons accounting for uncertainty in networks":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "graphon pooling in graph neural networks")
  Member "the many facets of community detection in complex networks":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "embedding based silhouette community detection")
  Member "block models and personalized pagerank":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "diffusion improves graph learning")
  Member "towards spectral sparsification of simplicial complexes based on generalized effective resistance":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "a notion of harmonic clustering in simplicial complexes")

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.SI(Social and Information Networks)