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 "real root finding for equivariant semi algebraic systems"):
  Abstract: Let $R$ be a real closed field. We consider basic semi-algebraic sets defined by $n$-variate equations/inequalities of $s$ symmetric polynomials and an equivariant family of polynomials, all of them of degree bounded by $2d < n$. Such a semi-algebraic set is invariant by the action of the symmetric group. We show that such a set is either empty or it contains a point with at most $2d-1$ distinct coordinates. Combining this geometric result with efficient algorithms for real root finding (based on the critical point method), one can decide the emptiness of basic semi-algebraic sets defined by $s$ polynomials of degree $d$ in time $(sn)^{O(d)}$. This improves the state-of-the-art which is exponential in $n$. When the variables $x_1, \ldots, x_n$ are quantified and the coefficients of the input system depend on parameters $y_1, \ldots, y_t$, one also demonstrates that the corresponding one-block quantifier elimination problem can be solved in time $(sn)^{O(dt)}$.

Includes members:
  Member "determinantal sets singularities and application to optimal control in medical imagery":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "real root finding for low rank linear matrices")
  Member "bit complexity for multi homogeneous polynomial system solving application to polynomial minimization":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "effective coefficient asymptotics of multivariate rational functions via semi numerical algorithms for polynomial systems")
  Member "real root finding for determinants of linear matrices":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "exact algorithms for semidefinite programs with degenerate feasible set")
  Member "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "computing the volume of compact semi algebraic sets")
  Member "intrinsic complexity estimates in polynomial optimization":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "exact algorithms for semidefinite programs with degenerate feasible set")
  Member "probabilistic algorithm for polynomial optimization over a real algebraic set":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "solving determinantal systems using homotopy techniques")
  Member "polynomial time computing over quadratic maps i sampling in real algebraic sets":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "fair dimensionality reduction and iterative rounding for sdps")

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.SC(Symbolic Computation)