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: "on the power of homogeneous depth 4 arithmetic circuits"
  Abstract: We prove exponential lower bounds on the size of homogeneous depth 4 arithmetic circuits computing an explicit polynomial in $VP$. Our results hold for the {\it Iterated Matrix Multiplication} polynomial - in particular we show that any homogeneous depth 4 circuit computing the $(1,1)$ entry in the product of $n$ generic matrices of dimension $n^{O(1)}$ must have size $n^{\Omega(\sqrt{n})}$. #R##N#Our results strengthen previous works in two significant ways. #R##N#Our lower bounds hold for a polynomial in $VP$. Prior to our work, Kayal et al [KLSS14] proved an exponential lower bound for homogeneous depth 4 circuits (over fields of characteristic zero) computing a poly in $VNP$. The best known lower bounds for a depth 4 homogeneous circuit computing a poly in $VP$ was the bound of $n^{\Omega(\log n)}$ by [LSS, KLSS14].Our exponential lower bounds also give the first exponential separation between general arithmetic circuits and homogeneous depth 4 arithmetic circuits. In particular they imply that the depth reduction results of Koiran [Koi12] and Tavenas [Tav13] are tight even for reductions to general homogeneous depth 4 circuits (without the restriction of bounded bottom fanin). #R##N#Our lower bound holds over all fields. The lower bound of [KLSS14] worked only over fields of characteristic zero. Prior to our work, the best lower bound for homogeneous depth 4 circuits over fields of positive characteristic was $n^{\Omega(\log n)}$ [LSS, KLSS14].

Connected through hyperedge HE-1 (induced by source paper "new exponential size lower bounds against depth four circuits of bounded individual degree"):
  with members:
    - "small depth multilinear formula lower bounds for iterated matrix multiplication with applications"
    - "depth 4 lower bounds determinantal complexity a unified approach"
    - "homogeneous formulas and symmetric polynomials"

Connected through hyperedge HE-2 (induced by source paper "more barriers for rank methods via a numeric to symbolic transfer"):
  with members:
    - "barriers for rank methods in arithmetic complexity"
    - "query to communication lifting for bpp"
    - "explicit polynomial sequences with maximal spaces of partial derivatives and a question of k mulmuley"
    - "koszul young flattenings and symmetric border rank of the determinant"
    - "tensor rank some lower and upper bounds"

Connected through hyperedge HE-3 (induced by source paper "towards optimal depth reductions for syntactically multilinear circuits"):
  with members:
    - "an almost quadratic lower bound for syntactically multilinear arithmetic circuits"
    - "the chasm at depth four and tensor rank old results new insights"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "arithmetic circuits the chasm at depth four gets wider"

Connected through hyperedge HE-4 (induced by source paper "a near optimal depth hierarchy theorem for small depth multilinear circuits"):
  with members:
    - "small depth multilinear formula lower bounds for iterated matrix multiplication with applications"
    - "near optimal small depth lower bounds for small distance connectivity"
    - "an average case depth hierarchy theorem for boolean circuits"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "arithmetic circuits the chasm at depth four gets wider"

Connected through hyperedge HE-5 (induced by source paper "succinct hitting sets and barriers to proving algebraic circuits lower bounds"):
  with members:
    - "towards an algebraic natural proofs barrier via polynomial identity testing"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "proof complexity lower bounds from algebraic circuit complexity"
    - "bipartite perfect matching is in quasi nc"
    - "boundaries of vp and vnp"
    - "unifying known lower bounds via geometric complexity theory"
    - "progress on polynomial identity testing ii"
    - "subexponential size hitting sets for bounded depth multilinear formulas"

Connected through hyperedge HE-6 (induced by source paper "towards an algebraic natural proofs barrier via polynomial identity testing"):
  with members:
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "arithmetic circuits with locally low algebraic rank"
    - "geometric complexity theory and matrix powering"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "no occurrence obstructions in geometric complexity theory"
    - "the chasm at depth four and tensor rank old results new insights"
    - "on minimal free resolutions and the method of shifted partial derivatives in complexity theory"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"

Connected through hyperedge HE-7 (induced by source paper "arithmetic circuits with locally low algebraic rank"):
  with members:
    - "an exponential lower bound for homogeneous depth 5 circuits over finite fields"
    - "sums of products of polynomials in few variables lower bounds and polynomial identity testing"
    - "subexponential size hitting sets for bounded depth multilinear formulas"
    - "the limits of depth reduction for arithmetic formulas it s all about the top fan in"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"
    - "algebraic independence and blackbox identity testing"

Connected through hyperedge HE-8 (induced by source paper "small depth multilinear formula lower bounds for iterated matrix multiplication with applications"):
  with members:
    - "the average sensitivity of bounded depth formulas"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "homogeneous formulas and symmetric polynomials"

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)