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 "bit complexity for multi homogeneous polynomial system solving application to polynomial minimization"):
  Abstract: Multi-homogeneous polynomial systems arise in many applications. We provide bit complexity estimates for solving them which, up to a few extra other factors, are quadratic in the number of solutions and linear in the height of the input system under some genericity assumptions. The assumptions essentially imply that the Jacobian matrix of the system under study has maximal rank at the solution set and that this solution set if finite. The algorithm is probabilistic and a probability analysis is provided. Next, we apply these results to the problem of optimizing a linear map on the real trace of an algebraic set. Under some genericity assumptions, we provide bit complexity estimates for solving this polynomial minimization problem.

Includes members:
  Member "solving rank constrained semidefinite programs in exact arithmetic":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "exact algorithms for semidefinite programs with degenerate feasible set")
  Member "symbolic numeric tools for analytic combinatorics in several variables":
    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 "powers of tensors and fast matrix multiplication":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs")
  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 "on the complexity of the multivariate resultant":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "variety membership testing algebraic natural proofs and geometric complexity theory")
  Member "intrinsic complexity estimates in polynomial optimization":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "real root finding for equivariant semi algebraic systems")
  Member "probabilistic algorithm for polynomial optimization over a real algebraic set":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "real root finding for equivariant semi algebraic systems")
  Member "critical points and gr obner bases the unmixed case":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "solving determinantal systems using homotopy techniques")

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)