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: "unifying known lower bounds via geometric complexity theory"
  Abstract: We show that most algebraic circuit lower bounds and relations between lower bounds naturally fit into the representation-theoretic framework suggested by geometric complexity theory (GCT), including: the partial derivatives technique (Nisan---Wigderson), the results of Razborov and Smolensky on AC 0[p], multilinear formula and circuit size lower bounds (Raz et al.), the degree bound (Strassen, Baur---Strassen), the connected components technique (Ben-Or, Steele---Yao), depth 3 algebraic circuit lower bounds over finite fields (Grigoriev---Karpinski), lower bounds on permanent versus determinant (Mignon---Ressayre, Landsberg---Manivel---Ressayre), lower bounds on matrix multiplication (Burgisser---Ikenmeyer, Landsberg---Ottaviani) (these last two were already known to fit into GCT), the chasms at depth 3 and 4 (Gupta---Kayal---Kamath---Saptharishi, Agrawal---Vinay, Koiran, Tavenas), matrix rigidity (Valiant) and others. That is, the original proofs, with what is often just a little extra work, already provide representation-theoretic obstructions in the sense of GCT for their respective lower bounds. This enables us to expose a new viewpoint on GCT, whereby it is a natural unification of known results and broad generalization of known techniques. It also shows that the framework of GCT is at least as powerful as previous methods, and gives many new proofs-of-concept that GCT can indeed provide significant asymptotic lower bounds. This new viewpoint also opens up the possibility of fruitful two-way interactions between previous results and the new methods of GCT; we provide several concrete suggestions of such interactions. For example, the representation-theoretic viewpoint of GCT naturally provides new properties to consider in the search for new lower bounds.

Connected through hyperedge HE-1 (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"
    - "progress on polynomial identity testing ii"
    - "subexponential size hitting sets for bounded depth multilinear formulas"
    - "hitting sets for roabp and sum of set multilinear circuits"

Connected through hyperedge HE-2 (induced by source paper "on algebraic branching programs of small width"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "no occurrence obstructions in geometric complexity theory"
    - "a 2n 2 log n 1 lower bound for the border rank of matrix multiplication"
    - "boundaries of vp and vnp"
    - "a lower bound for the determinantal complexity of a hypersurface"
    - "equations for lower bounds on border rank"

Connected through hyperedge HE-3 (induced by source paper "discovering the roots uniform closure results for algebraic classes under factoring"):
  with members:
    - "algebraic dependencies and pspace algorithms in approximative complexity"
    - "the complexity of factors of multivariate polynomials"
    - "small hitting sets for tiny arithmetic circuits or how to turn bad designs into good"
    - "on algebraic branching programs of small width"
    - "a pspace construction of a hitting set for the closure of small algebraic circuits"
    - "arithmetic circuits with locally low algebraic rank"
    - "proof complexity lower bounds from algebraic circuit complexity"
    - "boundaries of vp and vnp"

Connected through hyperedge HE-4 (induced by source paper "barriers for rank methods in arithmetic complexity"):
  with members:
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "on the optimization landscape of tensor decompositions"
    - "explicit polynomial sequences with maximal spaces of partial derivatives and a question of k mulmuley"
    - "towards an algebraic natural proofs barrier via polynomial identity testing"
    - "a note on amortized branching program complexity"
    - "an exponential lower bound for homogeneous depth 5 circuits over finite fields"
    - "learning mixtures of spherical gaussians moment methods and spectral decompositions"
    - "a spectral algorithm for latent dirichlet allocation"

Connected through hyperedge HE-5 (induced by source paper "boundaries of vp and vnp"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "deterministic polynomial time algorithms for matrix completion problems"

Connected through hyperedge HE-6 (induced by source paper "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "new lower bounds for the rank of matrix multiplication"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "quasi polynomial hitting set for set depth delta formulas"
    - "arithmetic circuits the chasm at depth four gets wider"
    - "the multivariate resultant is np hard in any characteristic"
    - "geometric complexity theory vi the flip via saturated and positive integer programming in representation theory and algebraic geometry"

Connected through hyperedge HE-7 (induced by source paper "geometric complexity theory v efficient algorithms for noether normalization"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"
    - "arithmetic circuits and the hadamard product of polynomials"
    - "the multivariate resultant is np hard in any characteristic"
    - "geometric complexity theory iv nonstandard quantum group for the kronecker problem"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

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)