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: "intrinsic complexity estimates in polynomial optimization"
  Abstract: It is known that point searching in basic semialgebraic sets and the search for globally minimal points in polynomial optimization tasks can be carried out using $(s\,d)^{O(n)}$ arithmetic operations, where $n$ and $s$ are the numbers of variables and constraints and $d$ is the maximal degree of the polynomials involved.\spar \noindent We associate to each of these problems an intrinsic system degree which becomes in worst case of order $(n\,d)^{O(n)}$ and which measures the intrinsic complexity of the task under consideration.\spar \noindent We design non-uniformly deterministic or uniformly probabilistic algorithms of intrinsic, quasi-polynomial complexity which solve these problems.

Connected through hyperedge HE-1 (induced by source paper "real root finding for equivariant semi algebraic systems"):
  with members:
    - "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 determinants of linear matrices"
    - "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"
    - "polynomial time computing over quadratic maps i sampling in real algebraic sets"

Connected through hyperedge HE-2 (induced by source paper "exact algorithms for semidefinite programs with degenerate feasible set"):
  with members:
    - "solving rank constrained semidefinite programs in exact arithmetic"
    - "bit complexity for multi homogeneous polynomial system solving application to polynomial minimization"
    - "real root finding for determinants of linear matrices"
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"

Connected through hyperedge HE-3 (induced by source paper "on exact polya and putinar s representations"):
  with members:
    - "algorithms for weighted sums of squares decomposition of non negative univariate polynomials"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"

Connected through hyperedge HE-4 (induced by source paper "bit complexity for multi homogeneous polynomial system solving application to polynomial minimization"):
  with members:
    - "solving rank constrained semidefinite programs in exact arithmetic"
    - "symbolic numeric tools for analytic combinatorics in several variables"
    - "powers of tensors and fast matrix multiplication"
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"
    - "on the complexity of the multivariate resultant"
    - "probabilistic algorithm for polynomial optimization over a real algebraic set"
    - "critical points and gr obner bases the unmixed case"
    - "multihomogeneous resultant formulae for systems with scaled support"

Connected through hyperedge HE-5 (induced by source paper "complexity bounds for computing critical points with grobner bases algorithms the mixed case"):
  with members:
    - "on the complexity of solving quadratic boolean systems"
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"
    - "critical points and gr obner bases the unmixed case"
    - "on the complexity of the generalized minrank problem"
    - "polynomial time computing over quadratic maps i sampling in real algebraic sets"

Connected through hyperedge HE-6 (induced by source paper "probabilistic algorithm for polynomial optimization over a real algebraic set"):
  with members:
    - "complexity bounds for computing critical points with grobner bases algorithms the mixed case"
    - "polynomial systems solving by fast linear algebra"
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"
    - "critical points and gr obner bases the unmixed case"

Connected through hyperedge HE-7 (induced by source paper "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"):
  with members:
    - "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)