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 "strassen s 2x2 matrix multiplication algorithm a conceptual perspective"):
  Abstract: The main purpose of this paper is pedagogical. Despite its importance, all proofs of the correctness of Strassen’s famous 1969 algorithm to multiply two #N#                  #N#                    #N#                  #N#                  $$2 \times 2$$#N#                  #N#                    #N#                  #N#                 matrices with only seven multiplications involve some basis-dependent calculations such as explicitly multiplying specific #N#                  #N#                    #N#                  #N#                  $$2 \times 2$$#N#                  #N#                    #N#                  #N#                 matrices, expanding expressions to cancel terms with opposing signs, or expanding tensors over the standard basis, sometimes involving clever simplifications using the sparsity of tensor summands. This makes the proof nontrivial to memorize and many presentations of the proof avoid showing all the details and leave a significant amount of verifications to the reader. In this note we give a short, self-contained, basis-independent proof of the existence of Strassen’s algorithm that avoids these types of calculations. We achieve this by focusing on symmetries and algebraic properties. Our proof can be seen as a coordinate-free version of the construction of Clausen from 1988, combined with recent work on the geometry of Strassen’s algorithm by Chiantini, Ikenmeyer, Landsberg, and Ottaviani from 2016.

Includes members:
  Member "the geometry of rank decompositions of matrix multiplication ii 3 times 3 matrices":
    also connected through other hyperedges:
      (none)
  Member "designing strassen s algorithm":
    also connected through other hyperedges:
      (none)
  Member "generating families of practical fast matrix multiplication algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "deterministic combinatorial replacement paths and distance sensitivity oracles")
  Member "matrix multiplication algorithms from group orbits":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "designing strassen s algorithm")
  Member "fast matrix multiplication and symbolic computation":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "laderman matrix multiplication algorithm can be constructed using strassen algorithm and related tensor s isotropies")
  Member "powers of tensors and fast matrix multiplication":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs")
  Member "on symmetries of the strassen algorithm":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "designing strassen s algorithm")
  Member "better late than never filling a void in the history of fast matrix multiplication and tensor decompositions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "fast feasible and unfeasible matrix multiplication")

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)