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: "a nearly optimal lower bound on the approximate degree of ac 0"
  Abstract: The approximate degree of a Boolean function $f \colon \{-1, 1\}^n \rightarrow \{-1, 1\}$ is the least degree of a real polynomial that approximates $f$ pointwise to error at most $1/3$. We introduce a generic method for increasing the approximate degree of a given function, while preserving its computability by constant-depth circuits. #R##N#Specifically, we show how to transform any Boolean function $f$ with approximate degree $d$ into a function $F$ on $O(n \cdot \operatorname{polylog}(n))$ variables with approximate degree at least $D = \Omega(n^{1/3} \cdot d^{2/3})$. In particular, if $d= n^{1-\Omega(1)}$, then $D$ is polynomially larger than $d$. Moreover, if $f$ is computed by a polynomial-size Boolean circuit of constant depth, then so is $F$. #R##N#By recursively applying our transformation, for any constant $\delta > 0$ we exhibit an AC$^0$ function of approximate degree $\Omega(n^{1-\delta})$. This improves over the best previous lower bound of $\Omega(n^{2/3})$ due to Aaronson and Shi (J. ACM 2004), and nearly matches the trivial upper bound of $n$ that holds for any function. Our lower bounds also apply to (quasipolynomial-size) DNFs of polylogarithmic width. #R##N#We describe several applications of these results. We give: #R##N#* For any constant $\delta > 0$, an $\Omega(n^{1-\delta})$ lower bound on the quantum communication complexity of a function in AC$^0$. #R##N#* A Boolean function $f$ with approximate degree at least $C(f)^{2-o(1)}$, where $C(f)$ is the certificate complexity of $f$. This separation is optimal up to the $o(1)$ term in the exponent. #R##N#* Improved secret sharing schemes with reconstruction procedures in AC$^0$.

Connected through hyperedge HE-1 (induced by source paper "near optimal lower bounds on the threshold degree and sign rank of ac 0"):
  with members:
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "strong direct product theorems for quantum communication and query complexity"
    - "the intersection of two halfspaces has high threshold degree"
    - "a note on the sign degree of formulas"
    - "optimal bounds for sign representing the intersection of two halfspaces by polynomials"
    - "a dual polynomial for or"

Connected through hyperedge HE-2 (induced by source paper "approximate degree secret sharing and concentration phenomena"):
  with members:
    - "near optimal lower bounds on the threshold degree and sign rank of ac 0"
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "faster private release of marginals on small databases"
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "on the number of iterations for dantzig wolfe optimization and packing covering approximation algorithms"

Connected through hyperedge HE-3 (induced by source paper "dual polynomials and communication complexity of textsf xor functions"):
  with members:
    - "spectral norm of symmetric functions"

Connected through hyperedge HE-4 (induced by source paper "on the power of statistical zero knowledge"):
  with members:
    - "on szk and pp"
    - "adaptivity vs postselection"
    - "dual polynomials for collision and element distinctness"
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "verifying computations with streaming interactive proofs"
    - "on arthur merlin games in communication complexity"

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)