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 "succinct hitting sets and barriers to proving algebraic circuits lower bounds"):
  Abstract: We formalize a framework of algebraically natural lower bounds for algebraic circuits. Just as with the natural proofs notion of Razborov and Rudich for boolean circuit lower bounds, our notion of algebraically natural lower bounds captures nearly all lower bound techniques known. However, unlike the boolean setting, there has been no concrete evidence demonstrating that this is a barrier to obtaining super-polynomial lower bounds for general algebraic circuits, as there is little understanding whether algebraic circuits are expressive enough to support "cryptography" secure against algebraic circuits. #R##N#Following a similar result of Williams in the boolean setting, we show that the existence of an algebraic natural proofs barrier is equivalent to the existence of succinct derandomization of the polynomial identity testing problem. That is, whether the coefficient vectors of polylog(N)-degree polylog(N)-size circuits is a hitting set for the class of poly(N)-degree poly(N)-size circuits. Further, we give an explicit universal construction showing that if such a succinct hitting set exists, then our universal construction suffices. #R##N#Further, we assess the existing literature constructing hitting sets for restricted classes of algebraic circuits and observe that none of them are succinct as given. Yet, we show how to modify some of these constructions to obtain succinct hitting sets. This constitutes the first evidence supporting the existence of an algebraic natural proofs barrier. #R##N#Our framework is similar to the Geometric Complexity Theory (GCT) program of Mulmuley and Sohoni, except that here we emphasize constructiveness of the proofs while the GCT program emphasizes symmetry. Nevertheless, our succinct hitting sets have relevance to the GCT program as they imply lower bounds for the complexity of the defining equations of polynomials computed by small circuits.

Includes members:
  Member "towards an algebraic natural proofs barrier via polynomial identity testing":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "implementing geometric complexity theory on the separation of orbit closures via symmetries")
  Member "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "symmetric arithmetic circuits")
  Member "proof complexity lower bounds from algebraic circuit complexity":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "semi algebraic proofs ips lower bounds and the tau conjecture can a natural number be negative")
  Member "bipartite perfect matching is in quasi nc":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "from independent sets and vertex colorings to isotropic spaces and isotropic decompositions")
  Member "boundaries of vp and vnp":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "algebraic branching programs border complexity and tangent spaces")
  Member "unifying known lower bounds via geometric complexity theory":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on algebraic branching programs of small width")
  Member "progress on polynomial identity testing ii":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "a generalized sylvester gallai type theorem for quadratic polynomials")
  Member "subexponential size hitting sets for bounded depth multilinear formulas":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a note on polynomial identity testing for depth 3 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)