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 i o complexity of hybrid algorithms for square matrix multiplication"):
  Abstract: Asymptotically tight lower bounds are derived for the I/O complexity of a general class of hybrid algorithms computing the product of $n \times n$ square matrices combining ``\emph{Strassen-like}'' fast matrix multiplication approach with computational complexity $\Theta{n^{\log_2 7}}$, and ``\emph{standard}'' matrix multiplication algorithms with computational complexity $\Omega\left(n^3\right)$. We present a novel and tight $\Omega\left(\left(\frac{n}{\max\{\sqrt{M},n_0\}}\right)^{\log_2 7}\left(\max\{1,\frac{n_0}{M}\}\right)^3M\right)$ lower bound for the I/O complexity a class of ``\emph{uniform, non-stationary}'' hybrid algorithms when executed in a two-level storage hierarchy with $M$ words of fast memory, where $n_0$ denotes the threshold size of sub-problems which are computed using standard algorithms with algebraic complexity $\Omega\left(n^3\right)$. #R##N#The lower bound is actually derived for the more general class of ``\emph{non-uniform, non-stationary}'' hybrid algorithms which allow recursive calls to have a different structure, even when they refer to the multiplication of matrices of the same size and in the same recursive level, although the quantitative expressions become more involved. Our results are the first I/O lower bounds for these classes of hybrid algorithms. All presented lower bounds apply even if the recomputation of partial results is allowed and are asymptotically tight. #R##N#The proof technique combines the analysis of the Grigoriev's flow of the matrix multiplication function, combinatorial properties of the encoding functions used by fast Strassen-like algorithms, and an application of the Loomis-Whitney geometric theorem for the analysis of standard matrix multiplication algorithms. #R##N#Extensions of the lower bounds for a parallel model with $P$ processors are also discussed.

Includes members:
  Member "the i o complexity of strassen s matrix multiplication with recomputation":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the i o complexity of hybrid algorithms for integer multiplication")
  Member "powers of tensors and fast matrix multiplication":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs")
  Member "communication lower bounds for distributed memory computations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "equivalence classes and conditional hardness in massively parallel computations")
  Member "the input output complexity of sparse matrix multiplication":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "enabling distributed memory tensor completion in python using new sparse tensor kernels")
  Member "communication lower bounds for distributed memory computations":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "equivalence classes and conditional hardness in massively parallel computations")
  Member "graph expansion analysis for communication costs of fast rectangular matrix multiplication":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "fast feasible and unfeasible matrix multiplication")
  Member "minimizing communication in linear algebra":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "communication efficient jaccard similarity for high performance distributed genome comparisons")
  Member "communication optimal parallel and sequential cholesky decomposition":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "serverless straggler mitigation using local error correcting codes")

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)