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 "reconstruction of real depth 3 circuits with top fan in 2"):
  Abstract: We present a polynomial time randomized algorithm for reconstructing $\Sigma\Pi\Sigma(2)$ circuits over $\mathbb{R}$, i.e. depth 3 circuits with fan in 2 at the top addition gate and having real coefficients. The algorithm needs only a blackbox query access to the polynomial $f\in \mathbb{R}[x_1,\ldots,x_n]$ of degree d in n variables, computable by a $\Sigma\Pi\Sigma(2)$ circuit C. In addition, we assume that the simple rank of this polynomial (essential number of variables after removing the gcd of the two multiplication gates) is bigger than a fixed constant. Our algorithm runs in time $poly(n,d)$ and returns an equivalent $\Sigma\Pi\Sigma(2)$ circuit(with high probability). Our main techniques are based on the use of Quantitative Syslvester Gallai Theorems from the work of Barak et.al.([3]) to find a small collection of nice subspaces to project onto. The heart of our paper lies in subtle applications of the Quantitative Sylvester Gallai theorems to prove why projections w.r.t. the nice subspaces can be glued. We also use Brills Equations([8]) to construct a small set of candidate linear forms (containing linear forms from both gates). Another important technique which comes very handy is the polynomial time randomized algorithm for factoring multivariate polynomials given by Kaltofen [14].

Includes members:
  Member "progress on polynomial identity testing ii":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a generalized sylvester gallai type theorem for quadratic polynomials")
  Member "from sylvester gallai configurations to rank bounds improved black box identity test for depth 3 circuits":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "arithmetic circuits with locally low algebraic rank")
  Member "new results on noncommutative and commutative polynomial identity testing":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "efficient black box identity testing over free group algebra")

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.DS(Data Structures and Algorithms)