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 "matrix decompositions and sparse graph regularity"):
  Abstract: We introduce and study a matrix decomposition that is a common generalization of the singular value decomposition (SVD), cut decomposition, CUR decomposition, and others. For any given set of pairs $P \subseteq \mathbb{R}^m \times \mathbb{R}^n$ and matrix $A \in \mathbb{R}^{m \times n}$, we write $A$ as a weighted sum of rank one matrices formed by some pairs in $P$. The resulting projection value decomposition (PVD) inherits several useful properties of the SVD; for example, the decomposition can be obtained by greedily peeling off rank one matrices, and the norm of the coefficients of the decomposition is the Frobenius norm of the matrix. Perhaps most interesting is that, in analogy with low-rank approximation from SVD, truncating the decomposition gives matrix approximations of small error. #R##N#When applied to the adjacency matrices of graphs, the PVD lets us derive the weak regularity lemma of Frieze and Kannan as well as Szemeredi's strong regularity lemma. Whereas these regularity lemmas in their usual forms are nontrivial only for dense graphs on $\Omega(n^2)$ edges, our generalization implies extensions to a new class of sparse graphs which we call cut pseudorandom, which are roughly those with small leading coefficients in the appropriate PVD. It turns out that cut pseudorandomness unifies several important pseudorandomness concepts in prior work: we show that $L_p$ upper regularity and a version of low threshold rank are both special cases, thus implying weak and strong regularity lemmas for these graph classes where only weak ones were previously known.

Includes members:
  Member "a new regularity lemma and faster approximation algorithms for low threshold rank graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "approximating constraint satisfaction problems on high dimensional expanders")
  Member "faster sdp hierarchy solvers for local rounding algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "approximating constraint satisfaction problems on high dimensional expanders")
  Member "rounding semidefinite programming hierarchies via global correlation":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "new dependencies of hierarchies in polynomial optimization")
  Member "approximating non uniform sparsest cut via generalized spectra":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "approximating sparsest cut in low rank graphs via embeddings from approximately low dimensional spaces")

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.DS(Data Structures and Algorithms)