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 "kronecker powers of tensors and strassen s laser method"):
  Abstract: We answer a question, posed implicitly by Coppersmith-Winogrand and Buergisser et. al. and explicitly by Blaeser, showing the border rank of the Kronecker square of the little Coppersmith-Winograd tensor is the square of the border rank of the tensor for all q>2, a negative result for complexity theory. We further show that when q>4, the analogous result holds for the Kronecker cube. In the positive direction, we enlarge the list of explicit tensors potentially useful for the laser method. We observe that a well-known tensor, the 3x3 determinant polynomial regarded as a tensor, could potentially be used in the laser method to prove the exponent of matrix multiplication is two. Because of this, we prove new upper bounds on its Waring rank and rank (both 18), border rank and Waring border rank (both 17), which, in addition to being promising for the laser method, are of interest in their own right. We discuss "skew" cousins of the little Coppersmith-Winograd tensor and indicate whey they may be useful for the laser method. We establish general results regarding border ranks of Kronecker powers of tensors, and make a detailed study of Kronecker squares of tensors of dimensions (3,3,3). In particular we show numerically that for generic tensors in this space, the rank and border rank are strictly sub-multiplicative.

Includes members:
  Member "barriers for fast matrix multiplication from irreversibility":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "barriers for rectangular matrix multiplication")
  Member "barriers for rank methods in arithmetic complexity":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "variety membership testing algebraic natural proofs and geometric complexity theory")
  Member "further limitations of the known approaches for matrix multiplication":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "barriers for rectangular matrix multiplication")
  Member "geometric complexity theory and matrix powering":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the computational complexity of plethysm coefficients")
  Member "on degeneration of tensors and algebras":
    also connected through other hyperedges:
      (none)

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.CC(Computational Complexity)