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 "new exponential size lower bounds against depth four circuits of bounded individual degree"):
  Abstract: Kayal, Saha and Tavenas [Theory of Computing, 2018] showed that for all large enough integers $n$ and $d$ such that $d\geq \omega(\log{n})$, any syntactic depth four circuit of bounded individual degree $\delta = o(d)$ that computes the Iterated Matrix Multiplication polynomial ($IMM_{n,d}$) must have size $n^{\Omega\left(\sqrt{d/\delta}\right)}$. Unfortunately, this bound deteriorates as the value of $\delta$ increases. Further, the bound is superpolynomial only when $\delta$ is $o(d)$. It is natural to ask if the dependence on $\delta$ in the bound could be weakened. Towards this, in an earlier result [STACS, 2020], we showed that for all large enough integers $n$ and $d$ such that $d = \Theta(\log^2{n})$, any syntactic depth four circuit of bounded individual degree $\delta\leq n^{0.2}$ that computes $IMM_{n,d}$ must have size $n^{\Omega(\log{n})}$. #R##N#In this paper, we make further progress by proving that for all large enough integers $n$ and $d$, and absolute constants $a$ and $b$ such that $\omega(\log^2n)\leq d\leq n^{a}$, any syntactic depth four circuit of bounded individual degree $\delta\leq n^{b}$ that computes $IMM_{n,d}$ must have size $n^{\Omega(\sqrt{d})}$. Our bound is obtained by carefully adapting the proof of Kumar and Saraf [SIAM J. Computing, 2017] to the complexity measure introduced in our earlier work [STACS, 2020].

Includes members:
  Member "small depth multilinear formula lower bounds for iterated matrix multiplication with applications":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "lower bounds for multilinear bounded order abps")
  Member "on the power of homogeneous depth 4 arithmetic circuits":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "more barriers for rank methods via a numeric to symbolic transfer")
  Member "depth 4 lower bounds determinantal complexity a unified approach":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the power of homogeneous depth 4 arithmetic circuits")
  Member "homogeneous formulas and symmetric polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "schur polynomials do not have small formulas if the determinant doesn t")

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)