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: "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"
  Abstract: It is shown that the problem of derandomizing Noether's Normalization Lemma (NNL) for any explicit variety can be brought down from EXPSPACE, where it is currently, to P assuming a strengthened form of the black-box derandomization hypothesis (BDH) for polynomial identity testing (PIT), and to quasi-P assuming that some exponential-time-computable multilinear polynomial cannot be approximated infinitesimally closely by arithmetic circuits of sub-exponential size. The converse also holds for a strict form of NNL. This equivalence between the strengthened BDH for PIT and the problem of derandomizing NNL in a strict form reveals that the fundamental problems of Geometry and Complexity Theory share a common root difficulty, namely, the problem of overcoming the EXPSPACE vs. P gap in the complexity of NNL for explicit varieties. This gap is called the GCT chasm. #R##N#On the positive side, it is shown that NNL for the ring of invariants for any finite dimensional representation of the special linear group of fixed dimension can be brought down from EXPSPACE to quasi-P unconditionally in characteristic zero. #R##N#On the positive side, it has also been shown recently by Forbes and Shpilka that a variant of a conditional derandomization result in this article in conjunction with the quasi-derandomization of ROABP that was known earlier implies unconditional quasi-derandomization of NNL for the ring of matrix invariants in characteristic zero.

Connected through hyperedge HE-1 (induced by source paper "from independent sets and vertex colorings to isotropic spaces and isotropic decompositions"):
  with members:
    - "linear algebraic analogues of the graph isomorphism problem and the erd h o s r enyi model"
    - "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing"
    - "the matching problem in general graphs is in quasi nc"
    - "bipartite perfect matching is in quasi nc"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "graph isomorphism in quasipolynomial time"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "non commutative edmonds problem and matrix semi invariants"

Connected through hyperedge HE-2 (induced by source paper "alternating minimization scaling algorithms and the null cone problem from invariant theory"):
  with members:
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "operator scaling theory and applications"
    - "non commutative edmonds problem and matrix semi invariants"
    - "understanding alternating minimization for matrix completion"
    - "explicit lower bounds via geometric complexity theory"

Connected through hyperedge HE-3 (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-4 (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-5 (induced by source paper "interactions of computational complexity theory and mathematics"):
  with members:
    - "no occurrence obstructions in geometric complexity theory"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "uniform sampling through the lov asz local lemma"
    - "approximate counting the lovasz local lemma and inference in graphical models"
    - "graph isomorphism in quasipolynomial time"
    - "operator scaling theory and applications"
    - "non commutative edmonds problem and matrix semi invariants"
    - "analysis of boolean functions"

Connected through hyperedge HE-6 (induced by source paper "small hitting sets for tiny arithmetic circuits or how to turn bad designs into good"):
  with members:
    - "on the complexity of partial derivatives"
    - "bipartite perfect matching is in quasi nc"
    - "the chasm at depth four and tensor rank old results new insights"
    - "identity testing for constant width and commutative read once oblivious abps"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "progress on polynomial identity testing ii"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "algebraic independence and blackbox identity testing"

Connected through hyperedge HE-7 (induced by source paper "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"):
  with members:
    - "sum of square proof for brascamp lieb type inequality"
    - "information theoretic perspectives on brascamp lieb inequality and its reverse"
    - "polynomial time tensor decompositions with sum of squares"
    - "smoothing brascamp lieb inequalities and strong converses for common randomness generation"
    - "operator scaling theory and applications"
    - "constructive noncommutative rank computation in deterministic polynomial time over fields of arbitrary characteristics"
    - "constructive noncommutative rank computation is in deterministic polynomial time"
    - "speeding up sum of squares for tensor decomposition and planted sparse vectors"

Connected through hyperedge HE-8 (induced by source paper "identity testing and lower bounds for read k oblivious algebraic branching programs"):
  with members:
    - "some lower bound results for set multilinear arithmetic computations"
    - "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"

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)