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: "probabilistic algorithm for polynomial optimization over a real algebraic set"
  Abstract: Let $f, f_1, \ldots, f_\nV$ be polynomials with rational coefficients in the indeterminates $\bfX=X_1, \ldots, X_n$ of maximum degree $D$ and $V$ be the set of common complex solutions of $\F=(f_1,\ldots, f_\nV)$. We give an algorithm which, up to some regularity assumptions on $\F$, computes an exact representation of the global infimum $f^\star=\inf_{x\in V\cap\R^n} f\Par{x}$, i.e. a univariate polynomial vanishing at $f^\star$ and an isolating interval for $f^\star$. Furthermore, this algorithm decides whether $f^\star$ is reached and if so, it returns $x^\star\in V\cap\R^n$ such that $f\Par{x^\star}=f^\star$. This algorithm is probabilistic. It makes use of the notion of polar varieties. Its complexity is essentially cubic in $\Par{\nV D}^n$ and linear in the complexity of evaluating the input. This fits within the best known deterministic complexity class $D^{O(n)}$. We report on some practical experiments of a first implementation that is available as a Maple package. It appears that it can tackle global optimization problems that were unreachable by previous exact algorithms and can manage instances that are hard to solve with purely numeric techniques. As far as we know, even under the extra genericity assumptions on the input, it is the first probabilistic algorithm that combines practical efficiency with good control of complexity for this problem.

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"
    - "intrinsic complexity estimates in polynomial optimization"
    - "polynomial time computing over quadratic maps i sampling in real algebraic sets"

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"
    - "critical points and gr obner bases the unmixed case"
    - "on the complexity of the generalized minrank problem"

Connected through hyperedge HE-3 (induced by source paper "on exact polya hilbert artin and putinar s representations"):
  with members:
    - "on exact polya and putinar s representations"
    - "realcertify a maple package for certifying non negativity"
    - "a nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets"

Connected through hyperedge HE-4 (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"
    - "intrinsic complexity estimates in polynomial optimization"

Connected through hyperedge HE-5 (induced by source paper "algorithms for weighted sums of squares decomposition of non negative univariate polynomials"):
  with members:
    - "symbolic numeric tools for analytic combinatorics in several variables"
    - "formal proofs for nonlinear optimization"
    - "from approximate factorization to root isolation with application to cylindrical algebraic decomposition"
    - "univariate real root isolation in an extension field"

Connected through hyperedge HE-6 (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"
    - "intrinsic complexity estimates in polynomial optimization"
    - "critical points and gr obner bases the unmixed case"
    - "multihomogeneous resultant formulae for systems with scaled support"

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

Connected through hyperedge HE-8 (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"
    - "critical points and gr obner bases the unmixed case"
    - "on the complexity of the generalized minrank problem"

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)