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: "hardness amplification and the approximate degree of constant depth circuits"
  Abstract: We establish a generic form of hardness amplification for the approximability of constant-depth Boolean circuits by polynomials. Specifically, we show that if a Boolean circuit cannot be pointwise approximated by low-degree polynomials to within constant error in a certain one-sided sense, then an OR of disjoint copies of that circuit cannot be pointwise approximated even with very high error. As our main application, we show that for every sequence of degrees $d(n)$, there is an explicit depth-three circuit $F: \{-1,1\}^n \to \{-1,1\}$ of polynomial-size such that any degree-$d$ polynomial cannot pointwise approximate $F$ to error better than $1-\exp\left(-\tilde{\Omega}(nd^{-3/2})\right)$. As a consequence of our main result, we obtain an $\exp\left(-\tilde{\Omega}(n^{2/5})\right)$ upper bound on the the discrepancy of a function in AC$^0$, and an $\exp\left(\tilde{\Omega}(n^{2/5})\right)$ lower bound on the threshold weight of AC$^0$, improving over the previous best results of $\exp\left(-\Omega(n^{1/3})\right)$ and $\exp\left(\Omega(n^{1/3})\right)$ respectively. #R##N#Our techniques also yield a new lower bound of $\Omega\left(n^{1/2}/\log^{(d-2)/2}(n)\right)$ on the approximate degree of the AND-OR tree of depth $d$, which is tight up to polylogarithmic factors for any constant $d$, as well as new bounds for read-once DNF formulas. In turn, these results imply new lower bounds on the communication and circuit complexity of these classes, and demonstrate strong limitations on existing PAC learning algorithms.

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:
    - "a nearly optimal lower bound on the approximate degree of ac 0"
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "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"
    - "a nearly optimal lower bound on the approximate degree of ac 0"
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "faster private release of marginals on small databases"
    - "on the number of iterations for dantzig wolfe optimization and packing covering approximation algorithms"

Connected through hyperedge HE-3 (induced by source paper "vanishing error approximate degree and qma complexity"):
  with members:
    - "on the power of statistical zero knowledge"
    - "on arthur merlin games in communication complexity"
    - "quantum arthur merlin games"
    - "bounds for small error and zero error quantum algorithms"

Connected through hyperedge HE-4 (induced by source paper "a nearly optimal lower bound on the approximate degree of ac 0"):
  with members:
    - "on szk and pp"
    - "separations in query complexity based on pointer functions"
    - "dual polynomials for collision and element distinctness"
    - "distribution independent reliable learning"
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "faster private release of marginals on small databases"
    - "faster algorithms for privately releasing marginals"
    - "a separation of np and conp in multiparty communication complexity"

Connected through hyperedge HE-5 (induced by source paper "on the power of statistical zero knowledge"):
  with members:
    - "a nearly optimal lower bound on the approximate degree of ac 0"
    - "on szk and pp"
    - "adaptivity vs postselection"
    - "dual polynomials for collision and element distinctness"
    - "verifying computations with streaming interactive proofs"
    - "on arthur merlin games in communication complexity"

Connected through hyperedge HE-6 (induced by source paper "dual polynomials for collision and element distinctness"):
  with members:
    - "distribution independent reliable learning"
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "faster private release of marginals on small databases"
    - "a note on the quantum collision and set equality problems"
    - "a quantum lower bound for distinguishing random functions from random permutations"
    - "faster algorithms for privately releasing marginals"
    - "strong direct product theorems for quantum communication and query complexity"
    - "the intersection of two halfspaces has high threshold degree"

Connected through hyperedge HE-7 (induced by source paper "distribution independent reliable learning"):
  with members:
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "representation approximation and learning of submodular functions using low rank decision trees"
    - "a separation of np and conp in multiparty communication complexity"
    - "optimal bounds for sign representing the intersection of two halfspaces by polynomials"

Connected through hyperedge HE-8 (induced by source paper "dual lower bounds for approximate degree and markov bernstein inequalities"):
  with members:
    - "open problems in analysis of boolean functions"
    - "a separation of np and conp in multiparty communication complexity"
    - "the intersection of two halfspaces has high threshold degree"
    - "multiparty communication complexity of disjointness"
    - "a dual polynomial for or"
    - "communication lower bounds using dual polynomials"
    - "disjointness is hard in the multi party number on the forehead model"

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)