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: "fast matrix rank algorithms and applications"
  Abstract: We consider the problem of computing the rank of an m x n matrix A over a field. We present a randomized algorithm to find a set of r = rank(A) linearly independent columns in \~O(|A| + r^\omega) field operations, where |A| denotes the number of nonzero entries in A and \omega < 2.38 is the matrix multiplication exponent. Previously the best known algorithm to find a set of r linearly independent columns is by Gaussian elimination, with running time O(mnr^{\omega-2}). Our algorithm is faster when r < max(m,n), for instance when the matrix is rectangular. We also consider the problem of computing the rank of a matrix dynamically, supporting the operations of rank one updates and additions and deletions of rows and columns. We present an algorithm that updates the rank in \~O(mn) field operations. We show that these algorithms can be used to obtain faster algorithms for various problems in numerical linear algebra, combinatorial optimization and dynamic data structure.

Connected through hyperedge HE-1 (induced by source paper "elimination based certificates for triangular equivalence and rank profiles"):
  with members:
    - "fast computation of the rank profile matrix and the generalized bruhat decomposition"
    - "linear time interactive certificates for the minimal polynomial and the determinant of a sparse matrix"
    - "essentially optimal interactive certificates in linear algebra"
    - "simultaneous computation of the row and column rank profiles"
    - "rank profile revealing gaussian elimination and the cup matrix decomposition"

Connected through hyperedge HE-2 (induced by source paper "an efficient algorithm for 1 dimensional persistent path homology"):
  with members:
    - "annotating simplices with a homology basis and its applications"

Connected through hyperedge HE-3 (induced by source paper "dynamic matrix inverse improved algorithms and matching conditional lower bounds"):
  with members:
    - "dynamic approximate shortest paths and beyond subquadratic and worst case update time"
    - "a deterministic linear program solver in current matrix multiplication time"
    - "sensitive distance and reachability oracles for large batch updates"
    - "solving linear programs in the current matrix multiplication time"
    - "online bipartite matching with amortized o log 2 n replacements"
    - "tight cell probe bounds for succinct boolean matrix vector multiplication"
    - "improved rectangular matrix multiplication using powers of the coppersmith winograd tensor"
    - "dynamic minimum spanning forest with subpolynomial worst case update time"

Connected through hyperedge HE-4 (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"
    - "certificates for triangular equivalence and rank profiles"
    - "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"

Connected through hyperedge HE-5 (induced by source paper "identifiability of graphs with small color classes by the weisfeiler leman algorithm"):
  with members:
    - "constructing hard examples for graph isomorphism"
    - "benchmark graphs for practical graph isomorphism"
    - "on the combinatorial power of the weisfeiler lehman algorithm"
    - "graph isomorphism in quasipolynomial time"
    - "graphs identified by logics with counting"
    - "powers of tensors and fast matrix multiplication"

Connected through hyperedge HE-6 (induced by source paper "stabilizer circuits quadratic forms and computing matrix rank"):
  with members:
    - "symmetric indefinite triangular factorization revealing the rank profile matrix"
    - "simulation of quantum circuits via stabilizer frames"
    - "powers of tensors and fast matrix multiplication"
    - "on tractable exponential sums"

Connected through hyperedge HE-7 (induced by source paper "error correction in fast matrix multiplication and inverse"):
  with members:
    - "certificates for triangular equivalence and rank profiles"
    - "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"

Connected through hyperedge HE-8 (induced by source paper "certificates for triangular equivalence and rank profiles"):
  with members:
    - "fast computation of the rank profile matrix and the generalized bruhat decomposition"
    - "linear time interactive certificates for the minimal polynomial and the determinant of a sparse matrix"
    - "computing the rank profile matrix"
    - "essentially optimal interactive certificates in linear algebra"
    - "simultaneous computation of the row and column rank profiles"
    - "rank profile revealing gaussian elimination and the cup matrix decomposition"

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.DS(Data Structures and Algorithms)