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: "barriers for rank methods in arithmetic complexity"
  Abstract: Arithmetic complexity is considered simpler to understand than Boolean complexity, namely computing Boolean functions via logical gates. And indeed, we seem to have significantly more lower bound techniques and results in arithmetic complexity than in Boolean complexity. Despite many successes and rapid progress, however, challenges like proving super-polynomial lower bounds on circuit or formula size for explicit polynomials, or super-linear lower bounds on explicit 3-dimensional tensors, remain elusive. #R##N#At the same time, we have plenty more "barrier results" for failing to prove basic lower bounds in Boolean complexity than in arithmetic complexity. Finding barriers to arithmetic lower bound techniques seem harder, and despite some attempts we have no excuses of similar quality for these failures in arithmetic complexity. This paper aims to add to this study. #R##N#We address rank methods, which were long recognized as encompassing and abstracting almost all known arithmetic lower bounds to-date, including the most recent impressive successes. Rank methods (or flattenings) are also in wide use in algebraic geometry for proving tensor rank and symmetric tensor rank lower bounds. Our main results are barriers to these methods. In particular, #R##N#1. Rank methods cannot prove better than $\Omega_d (n^{\lfloor d/2 \rfloor})$ lower bound on the tensor rank of any $d$-dimensional tensor of side $n$. (In particular, they cannot prove super-linear, indeed even $>8n$ tensor rank lower bounds for any 3-dimensional tensors.) #R##N#2. Rank methods cannot prove $\Omega_d (n^{\lfloor d/2 \rfloor})$ on the Waring rank of any $n$-variate polynomial of degree $d$. (In particular, they cannot prove such lower bounds on stronger models, including depth-3 circuits.)

Connected through hyperedge HE-1 (induced by source paper "variety membership testing algebraic natural proofs and geometric complexity theory"):
  with members:
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "discovering the roots uniform closure results for algebraic classes under factoring"
    - "towards an algebraic natural proofs barrier via polynomial identity testing"
    - "on the complexity of the permanent in various computational models"
    - "the complexity of tensor rank"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "computational limits for matrix completion"

Connected through hyperedge HE-2 (induced by source paper "more barriers for rank methods via a numeric to symbolic transfer"):
  with members:
    - "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"
    - "on the power of homogeneous depth 4 arithmetic circuits"
    - "tensor rank some lower and upper bounds"

Connected through hyperedge HE-3 (induced by source paper "kronecker powers of tensors and strassen s laser method"):
  with members:
    - "barriers for fast matrix multiplication from irreversibility"
    - "further limitations of the known approaches for matrix multiplication"
    - "geometric complexity theory and matrix powering"
    - "on degeneration of tensors and algebras"

Connected through hyperedge HE-4 (induced by source paper "waring rank parameterized and exact algorithms"):
  with members:
    - "fast exact algorithms using hadamard product of polynomials"
    - "extensor coding"
    - "designing deterministic polynomial space algorithms by color coding multivariate polynomials"
    - "the border support rank of two by two matrix multiplication is seven"
    - "no occurrence obstructions in geometric complexity theory"
    - "nash social welfare matrix permanent and stable polynomials"
    - "graph isomorphism in quasipolynomial time"
    - "finding and counting vertex colored subtrees"

Connected through hyperedge HE-5 (induced by source paper "on multilinear forms bias correlation and tensor rank"):
  with members:
    - "the chasm at depth four and tensor rank old results new insights"
    - "tensor rank some lower and upper bounds"
    - "lower bounds for matrix product"

Connected through hyperedge HE-6 (induced by source paper "explicit polynomial sequences with maximal spaces of partial derivatives and a question of k mulmuley"):
  with members:
    - "no occurrence obstructions in geometric complexity theory"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"

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)