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: "some lower bound results for set multilinear arithmetic computations"
  Abstract: In this paper, we study the structure of set-multilinear arithmetic circuits and set-multilinear branching programs with the aim of showing lower bound results. We define some natural restrictions of these models for which we are able to show lower bound results. Some of our results extend existing lower bounds, while others are new and raise open questions. More specifically, our main results are the following: #R##N#(1) We observe that set-multilinear arithmetic circuits can be transformed into shallow set-multilinear circuits efficiently, similar to depth reduction results of [VSBR83,RY08] for more general commutative circuits. As a consequence, we note that polynomial size set-multilinear circuits have quasi-polynomial size set-multilinear branching programs. We show that \emph{narrow} set-multilinear ABPs (with a restricted number of set types) computing the Permanent polynomial $\mathrm{PER}_n$ require $2^{n^{\Omega(1)}}$ size. A similar result for general set-multilinear ABPs appears difficult as it would imply that the Permanent requires superpolynomial size set-multilinear circuits. It would also imply that the noncommutative Permanent requires superpolynomial size noncommutative arithmetic circuits. #R##N#(2) Indeed, we also show that set-multilinear branching programs are exponentially more powerful than \emph{interval} multilinear circuits (where the index sets for each gate is restricted to be an interval w.r.t.\ some ordering), assuming the sum-of-squares conjecture. This further underlines the power of set-multilinear branching programs. #R##N#(3) Finally, we consider set-multilinear circuits with restrictions on the number of proof trees of monomials computed by it, and prove exponential lower bounds results. This raises some new lower bound questions.

Connected through hyperedge HE-1 (induced by source paper "lower bounds for multilinear bounded order abps"):
  with members:
    - "small depth multilinear formula lower bounds for iterated matrix multiplication with applications"
    - "improved bounds for reduction to depth 4 and depth 3"

Connected through hyperedge HE-2 (induced by source paper "lower bounds for special cases of syntactic multilinear abps"):
  with members:
    - "small depth multilinear formula lower bounds for iterated matrix multiplication with applications"
    - "an almost quadratic lower bound for syntactically multilinear arithmetic circuits"
    - "identity testing and lower bounds for read k oblivious algebraic branching programs"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"

Connected through hyperedge HE-3 (induced by source paper "identity testing and lower bounds for read k oblivious algebraic branching programs"):
  with members:
    - "subexponential size hitting sets for bounded depth multilinear formulas"
    - "pseudorandomness and fourier growth bounds for width 3 branching programs"
    - "hitting sets for roabp and sum of set multilinear circuits"
    - "deterministic identity testing for sum of read once oblivious arithmetic branching programs"
    - "on the power of homogeneous depth 4 arithmetic circuits"
    - "the limits of depth reduction for arithmetic formulas it s all about the top fan in"
    - "pseudorandomness for regular branching programs via fourier analysis"
    - "improved bounds for reduction to depth 4 and depth 3"

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)