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: "the intersection of two halfspaces has high threshold degree"
  Abstract: The threshold degree of a Boolean function f:{0,1}^n->{-1,+1} is the least degree of a real polynomial p such that f(x)=sgn p(x). We construct two halfspaces on {0,1}^n whose intersection has threshold degree Theta(sqrt n), an exponential improvement on previous lower bounds. This solves an open problem due to Klivans (2002) and rules out the use of perceptron-based techniques for PAC learning the intersection of two halfspaces, a central unresolved challenge in computational learning. We also prove that the intersection of two majority functions has threshold degree Omega(log n), which is tight and settles a conjecture of O'Donnell and Servedio (2003). #R##N#Our proof consists of two parts. First, we show that for any nonconstant Boolean functions f and g, the intersection f(x)^g(y) has threshold degree O(d) if and only if ||f-F||_infty + ||g-G||_infty < 1 for some rational functions F, G of degree O(d). Second, we settle the least degree required for approximating a halfspace and a majority function to any given accuracy by rational functions. #R##N#Our technique further allows us to make progress on Aaronson's challenge (2008) and contribute strong direct product theorems for polynomial representations of composed Boolean functions of the form F(f_1,...,f_n). In particular, we give an improved lower bound on the approximate degree of the AND-OR tree.

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"
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "strong direct product theorems for quantum communication and query complexity"
    - "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 "sign rank can increase under intersection"):
  with members:
    - "near optimal lower bounds on the threshold degree and sign rank of ac 0"
    - "query to communication lifting for bpp"
    - "hardness of learning noisy halfspaces using polynomial thresholds"
    - "on the power of statistical zero knowledge"
    - "optimal bounds for sign representing the intersection of two halfspaces by polynomials"

Connected through hyperedge HE-3 (induced by source paper "lower bounding the and or tree via symmetrization"):
  with members:
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "strong direct product theorems for quantum communication and query complexity"

Connected through hyperedge HE-4 (induced by source paper "fooling polytopes"):
  with members:
    - "fooling intersections of low weight halfspaces"
    - "pseudorandomness via the discrete fourier transform"
    - "analysis of boolean functions"
    - "the average sensitivity of an intersection of half spaces"
    - "an invariance principle for polytopes"
    - "a pseudorandom generator for polynomial threshold functions of gaussian with subpolynomial seed length"
    - "a small prg for polynomial threshold functions of gaussians"
    - "fooling functions of halfspaces under product distributions"

Connected through hyperedge HE-5 (induced by source paper "post selected classical query complexity"):
  with members:
    - "rectangle size bounds and threshold covers in communication complexity"
    - "nondeterministic quantum query and quantum communication complexities"

Connected through hyperedge HE-6 (induced by source paper "fooling intersections of low weight halfspaces"):
  with members:
    - "average case lower bounds and satisfiability algorithms for small threshold circuits"
    - "pseudorandomness via the discrete fourier transform"
    - "analysis of boolean functions"
    - "the average sensitivity of an intersection of half spaces"
    - "deterministic approximate counting for juntas of degree 2 polynomial threshold functions"
    - "efficient deterministic approximate counting for low degree polynomial threshold functions"
    - "an invariance principle for polytopes"
    - "a robust khintchine inequality and algorithms for computing optimal constants in fourier analysis and high dimensional geometry"

Connected through hyperedge HE-7 (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"
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "faster algorithms for privately releasing marginals"

Connected through hyperedge HE-8 (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"
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "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"

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)