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 "the limited power of powering polynomial identity testing and a depth four lower bound for the permanent"):
  Abstract: Polynomial identity testing and arithmetic circuit lower bounds are two central questions in algebraic complexity theory. It is an intriguing fact that these questions are actually related.#R##N#One of the authors of the present paper has recently proposed#R##N#a "real tau-conjecture" which is inspired by this connection.#R##N#The real tau-conjecture states that the number of real roots of#R##N#a sum of products of sparse univariate polynomials should be#R##N#polynomially bounded. It implies a superpolynomial lower bound on the#R##N#size of arithmetic circuits computing the permanent polynomial.#R##N##R##N#In this paper we show that the real tau-conjecture holds true for a restricted class of sums of products of sparse polynomials.#R##N#This result yields lower bounds for a restricted class of depth-4 circuits: we show that polynomial size circuits from this class cannot compute the permanent, and we also give a deterministic polynomial identity testing algorithm for the same class of circuits.

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 "algebraic independence and blackbox identity testing":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a generalized sylvester gallai type theorem for quadratic polynomials")
  Member "arithmetic circuits the chasm at depth four gets wider":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "lower bounds for matrix factorization")
  Member "shallow circuits with high powered inputs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "log concavity and lower bounds for arithmetic circuits")

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.CC(Computational Complexity)