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: "new lower bounds for the border rank of matrix multiplication"
  Abstract: The border rank of the matrix multiplication operator for n by n matrices is a standard measure of its complexity. Using techniques from algebraic geometry and representation theory, we show the border rank is at least 2n^2-n. Our bounds are better than the previous lower bound (due to Lickteig in 1985) of 3/2 n^2+ n/2 -1 for all n>2. The bounds are obtained by finding new equations that bilinear maps of small border rank must satisfy, i.e., new equations for secant varieties of triple Segre products, that matrix multiplication fails to satisfy.

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"
    - "barriers for rank methods in arithmetic complexity"
    - "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"

Connected through hyperedge HE-2 (induced by source paper "the complexity of matrix multiplication developments since 2014 extended abstract of 2018 oberwolfach complexity meeting plenary lecture"):
  with members:
    - "further limitations of the known approaches for matrix multiplication"
    - "powers of tensors and fast matrix multiplication"
    - "equations for lower bounds on border rank"
    - "new lower bounds for the rank of matrix multiplication"
    - "tensor rank some lower and upper bounds"

Connected through hyperedge HE-3 (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"
    - "unifying known lower bounds via geometric complexity theory"
    - "a lower bound for the determinantal complexity of a hypersurface"

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"
    - "unifying known lower bounds via geometric complexity theory"
    - "learning mixtures of spherical gaussians moment methods and spectral decompositions"

Connected through hyperedge HE-5 (induced by source paper "unifying known lower bounds via geometric complexity theory"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "lower bounds for the circuit size of partially homogeneous polynomials"
    - "using elimination theory to construct rigid matrices"
    - "equations for lower bounds on border rank"
    - "complexity of linear circuits and geometry"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "natural proofs versus derandomization"
    - "explicit lower bounds via geometric complexity theory"

Connected through hyperedge HE-6 (induced by source paper "on the geometry of border rank algorithms for n x 2 by 2 x 2 matrix multiplication"):
  with members:
    - "equations for lower bounds on border rank"

Connected through hyperedge HE-7 (induced by source paper "equations for lower bounds on border rank"):
  with members:
    - "explicit lower bounds via geometric complexity theory"
    - "explicit tensors of border rank at least 2n 1"

Connected through hyperedge HE-8 (induced by source paper "explicit lower bounds via geometric complexity theory"):
  with members:
    - "an overview of mathematical issues arising in the geometric complexity theory approach to vp v s vnp"
    - "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)