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: "optimal bounds for sign representing the intersection of two halfspaces by polynomials"
  Abstract: The threshold degree of a function f:{0,1}^n->{-1,+1} is the least degree of a real polynomial p with f(x)=sgn p(x). We prove that the intersection of two halfspaces on {0,1}^n has threshold degree Omega(n), which matches the trivial upper bound and completely answers a question due to Klivans (2002). The best previous lower bound was Omega(sqrt n). Our result shows that the intersection of two halfspaces on {0,1}^n only admits a trivial 2^{Theta(n)}-time learning algorithm based on sign-representation by polynomials, unlike the advances achieved in PAC learning DNF formulas and read-once Boolean formulas. The proof introduces a new technique of independent interest, based on Fourier analysis and matrix theory.

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"
    - "the intersection of two halfspaces has high threshold degree"
    - "a note on the sign degree of formulas"
    - "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"
    - "the intersection of two halfspaces has high threshold degree"

Connected through hyperedge HE-3 (induced by source paper "the hardest halfspace"):
  with members:
    - "faster private release of marginals on small databases"

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 "average case lower bounds and satisfiability algorithms for small threshold circuits"):
  with members:
    - "analysis of boolean functions"
    - "new algorithms and lower bounds for circuits with linear threshold gates"
    - "a tail bound for read k families of functions"
    - "a satisfiability algorithm for sparse depth two threshold circuits"
    - "a satisfiability algorithm for ac 0"
    - "average sensitivity and noise sensitivity of polynomial threshold functions"
    - "bounded independence fools halfspaces"
    - "bounding the sensitivity of polynomial threshold functions"

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 "distribution independent reliable learning"):
  with members:
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "representation approximation and learning of submodular functions using low rank decision trees"
    - "a separation of np and conp in multiparty 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)