human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "certificates for triangular equivalence and rank profiles"
  Abstract: In this paper, we give novel certificates for triangular equivalence and rank profiles. These certificates enable to verify the row or column rank profiles or the whole rank profile matrix faster than recomputing them, with a negligible overall overhead. We first provide quadratic time and space non-interactive certificates saving the logarithmic factors of previously known ones. Then we propose interactive certificates for the same problems whose Monte Carlo verification complexity requires a small constant number of matrix-vector multiplications, a linear space, and a linear number of extra field operations. As an application we also give an interactive protocol , certifying the determinant of dense matrices, faster than the best previously known one.

Connected through hyperedge HE-1 (induced by source paper "lu factorization with errors"):
  with members:
    - "error correction in fast matrix multiplication and inverse"
    - "what can and can t we do with sparse polynomials"
    - "linear time interactive certificates for the minimal polynomial and the determinant of a sparse matrix"
    - "efficiently correcting matrix products"
    - "essentially optimal interactive certificates in linear algebra"
    - "powers of tensors and fast matrix multiplication"
    - "parallel computation of echelon forms"
    - "simultaneous computation of the row and column rank profiles"

Connected through hyperedge HE-2 (induced by source paper "error correction in fast matrix multiplication and inverse"):
  with members:
    - "linear time interactive certificates for the minimal polynomial and the determinant of a sparse matrix"
    - "efficiently correcting matrix products"
    - "essentially optimal interactive certificates in linear algebra"
    - "powers of tensors and fast matrix multiplication"
    - "faster sparse multivariate polynomial interpolation of straight line programs"
    - "faster polynomial multiplication over finite fields"
    - "faster algorithms for rectangular matrix multiplication"
    - "fast matrix rank algorithms and applications"

Connected through hyperedge HE-3 (induced by source paper "certification of minimal approximant bases"):
  with members:
    - "fast computation of minimal interpolation bases in popov form for arbitrary shifts"
    - "linear time interactive certificates for the minimal polynomial and the determinant of a sparse matrix"
    - "essentially optimal interactive certificates in linear algebra"
    - "powers of tensors and fast matrix multiplication"

Question: Please tell me which class the center node 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.SC(Symbolic Computation)