human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "subexponential size hitting sets for bounded depth multilinear formulas"):
  Abstract: In this paper we give subexponential size hitting sets for bounded depth multilinear arithmetic formulas. Using the known relation between black-box PIT and lower bounds we obtain lower bounds for these models. #R##N#For depth-3 multilinear formulas, of size $\exp(n^\delta)$, we give a hitting set of size $\exp(\tilde{O}(n^{2/3 + 2\delta/3}))$. This implies a lower bound of $\exp(\tilde{\Omega}(n^{1/2}))$ for depth-3 multilinear formulas, for some explicit polynomial. #R##N#For depth-4 multilinear formulas, of size $\exp(n^\delta)$, we give a hitting set of size $\exp(\tilde{O}(n^{2/3 + 4\delta/3}))$. This implies a lower bound of $\exp(\tilde{\Omega}(n^{1/4}))$ for depth-4 multilinear formulas, for some explicit polynomial. #R##N#A regular formula consists of alternating layers of $+,\times$ gates, where all gates at layer $i$ have the same fan-in. We give a hitting set of size (roughly) $\exp\left(n^{1- \delta} \right)$, for regular depth-$d$ multilinear formulas of size $\exp(n^\delta)$, where $\delta = O(\frac{1}{\sqrt{5}^d})$. This result implies a lower bound of roughly $\exp(\tilde{\Omega}(n^{\frac{1}{\sqrt{5}^d}}))$ for such formulas. #R##N#We note that better lower bounds are known for these models, but also that none of these bounds was achieved via construction of a hitting set. Moreover, no lower bound that implies such PIT results, even in the white-box model, is currently known. #R##N#Our results are combinatorial in nature and rely on reducing the underlying formula, first to a depth-4 formula, and then to a read-once algebraic branching program (from depth-3 formulas we go straight to read-once algebraic branching programs).

Includes members:
  Member "hitting sets for roabp and sum of set multilinear circuits":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "lower bounds for matrix factorization")
  Member "deterministic identity testing for sum of read once oblivious arithmetic branching programs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "succinct hitting sets and barriers to proving algebraic circuits lower bounds")
  Member "improved bounds for reduction to depth 4 and depth 3":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "lower bounds for matrix factorization")
  Member "explicit noether normalization for simultaneous conjugation via polynomial identity testing":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a generalized sylvester gallai type theorem for quadratic polynomials")
  Member "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "derandomization and absolute reconstruction for sums of powers of linear forms")
  Member "on identity testing of tensors low rank recovery and compressed sensing":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "lower bounds for matrix factorization")
  Member "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "constructing faithful homomorphisms over fields of finite characteristic")
  Member "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a generalized sylvester gallai type theorem for quadratic polynomials")

Question: Please tell me which class the source paper 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)