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: "on the complexity of the generalized minrank problem"
  Abstract: We study the complexity of solving the \emph{generalized MinRank problem}, i.e. computing the set of points where the evaluation of a polynomial matrix has rank at most $r$. A natural algebraic representation of this problem gives rise to a \emph{determinantal ideal}: the ideal generated by all minors of size $r+1$ of the matrix. We give new complexity bounds for solving this problem using Grobner bases algorithms under genericity assumptions on the input matrix. In particular, these complexity bounds allow us to identify families of generalized MinRank problems for which the arithmetic complexity of the solving process is polynomial in the number of solutions. We also provide an algorithm to compute a rational parametrization of the variety of a 0-dimensional and radical system of bi-degree $(D,1)$. We show that its complexity can be bounded by using the complexity bounds for the generalized MinRank problem.

Connected through hyperedge HE-1 (induced by source paper "the complexity of minrank"):
  with members:
    - "solving multivariate polynomial systems and an invariant from commutative algebra"

Connected through hyperedge HE-2 (induced by source paper "solving determinantal systems using homotopy techniques"):
  with members:
    - "critical point computations on smooth varieties degree and complexity bounds"
    - "a polyhedral method to compute all affine solution sets of sparse polynomial systems"
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"
    - "critical points and gr obner bases the unmixed case"

Connected through hyperedge HE-3 (induced by source paper "block krylov techniques in the context of sparse fglm algorithms"):
  with members:
    - "algorithms for zero dimensional ideals using linear recurrent sequences"
    - "sparse fglm algorithms"
    - "fast computation of minimal interpolation bases in popov form for arbitrary shifts"
    - "polynomial systems solving by fast linear algebra"

Connected through hyperedge HE-4 (induced by source paper "solving multivariate polynomial systems and an invariant from commutative algebra"):
  with members:
    - "index calculus in the trace zero variety"

Connected through hyperedge HE-5 (induced by source paper "determinantal sets singularities and application to optimal control in medical imagery"):
  with members:
    - "data discriminants of likelihood equations"
    - "real root finding for low rank linear matrices"
    - "real root finding for rank defects in linear hankel matrices"
    - "real root finding for determinants of linear matrices"
    - "critical points and gr obner bases the unmixed case"

Connected through hyperedge HE-6 (induced by source paper "critical point computations on smooth varieties degree and complexity bounds"):
  with members:
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"
    - "critical points and gr obner bases the unmixed case"

Connected through hyperedge HE-7 (induced by source paper "computing small certificates of inconsistency of quadratic fewnomial systems"):
  with members:
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"
    - "critical points and gr obner bases the unmixed case"

Connected through hyperedge HE-8 (induced by source paper "real root finding for low rank linear matrices"):
  with members:
    - "sparse fglm algorithms"
    - "determinantal sets singularities and application to optimal control in medical imagery"
    - "bit complexity for multi homogeneous polynomial system solving application to polynomial minimization"
    - "real root finding for rank defects in linear hankel matrices"
    - "real root finding for determinants of linear matrices"
    - "polynomial systems solving by fast linear algebra"
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"

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)