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: "on polynomial approximations to ac 0"
  Abstract: We make progress on some questions related to polynomial approximations of ${\rm AC}^0$. It is known, by works of Tarui (Theoret. Comput. Sci. 1993) and Beigel, Reingold, and Spielman (Proc. $6$th CCC, 1991), that any ${\rm AC}^0$ circuit of size $s$ and depth $d$ has an $\varepsilon$-error probabilistic polynomial over the reals of degree $(\log (s/\varepsilon))^{O(d)}$. We improve this upper bound to $(\log s)^{O(d)}\cdot \log(1/\varepsilon)$, which is much better for small values of $\varepsilon$. #R##N#We give an application of this result by using it to resolve a question posed by Tal (ECCC 2014): we show that $(\log s)^{O(d)}\cdot \log(1/\varepsilon)$-wise independence fools ${\rm AC}^0$, improving on Tal's strengthening of Braverman's theorem (J. ACM, 2010) that $(\log (s/\varepsilon))^{O(d)}$-wise independence fools ${\rm AC}^0$. Up to the constant implicit in the $O(d)$, our result is tight. As far as we know, this is the first PRG construction for ${\rm AC}^0$ that achieves optimal dependence on the error $\varepsilon$. #R##N#We also prove lower bounds on the best polynomial approximations to ${\rm AC}^0$. We show that any polynomial approximating the ${\rm OR}$ function on $n$ bits to a small constant error must have degree at least $\widetilde{\Omega}(\sqrt{\log n})$. This result improves exponentially on a recent lower bound demonstrated by Meka, Nguyen, and Vu (arXiv 2015).

Connected through hyperedge HE-1 (induced by source paper "algorithms and lower bounds for de morgan formulas of low communication leaf gates"):
  with members:
    - "improved pseudorandom generators from pseudorandom multi switching lemmas"
    - "tighter connections between formula sat and shaving logs"
    - "classical algorithms from quantum and arthur merlin communication protocols"
    - "fooling polytopes"
    - "conspiracies between learning algorithms circuit lower bounds and pseudorandomness"
    - "polynomial representations of threshold functions and algorithmic applications"
    - "fooling functions of halfspaces under product distributions"

Connected through hyperedge HE-2 (induced by source paper "on the probabilistic degrees of symmetric boolean functions"):
  with members:
    - "on the probabilistic degree of or over the reals"
    - "probabilistic polynomials and hamming nearest neighbors"
    - "analysis of boolean functions"

Connected through hyperedge HE-3 (induced by source paper "deterministic search for cnf satisfying assignments in almost polynomial time"):
  with members:
    - "pseudorandomness for regular branching programs via fourier analysis"
    - "efficient deterministic approximate counting for low degree polynomial threshold functions"
    - "better pseudorandom generators from milder pseudorandom restrictions"
    - "fooling functions of halfspaces under product distributions"
    - "bounded independence fools halfspaces"
    - "pseudorandom generators for polynomial threshold functions"
    - "bounded independence fools degree 2 threshold functions"

Connected through hyperedge HE-4 (induced by source paper "improved pseudorandom generators from pseudorandom multi switching lemmas"):
  with members:
    - "near optimal small depth lower bounds for small distance connectivity"
    - "an average case depth hierarchy theorem for boolean circuits"
    - "the average sensitivity of bounded depth formulas"
    - "pseudorandomness for regular branching programs via fourier analysis"
    - "a counterexample to the generalized linial nisan conjecture"

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.CC(Computational Complexity)