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: "the power of depth 2 circuits over algebras"
  Abstract: We study the problem of polynomial identity testing (PIT) for depth 2 arithmetic circuits over matrix algebra. We show that identity testing of depth 3 (Sigma-Pi-Sigma) arithmetic circuits over a field F is polynomial time equivalent to identity testing of depth 2 (Pi-Sigma) arithmetic circuits over U_2(F), the algebra of upper-triangular 2 x 2 matrices with entries from F. Such a connection is a bit surprising since we also show that, as computational models, Pi-Sigma circuits over U_2(F) are strictly `weaker' than Sigma-Pi-Sigma circuits over F. #R##N#The equivalence further shows that PIT of depth 3 arithmetic circuits reduces to PIT of width-2 planar commutative Algebraic Branching Programs (ABP). Thus, identity testing for commutative ABPs is interesting even in the case of width-2. #R##N#Further, we give a deterministic polynomial time identity testing algorithm for a Pi-Sigma circuit over any constant dimensional commutative algebra over F. While over commutative algebras of polynomial dimension, identity testing is at least as hard as that of Sigma-Pi-Sigma circuits over F.

Connected through hyperedge HE-1 (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-2 (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"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"

Connected through hyperedge HE-3 (induced by source paper "progress on polynomial identity testing ii"):
  with members:
    - "pseudorandomness for multilinear read once algebraic branching programs in any order"
    - "hitting sets for low distance multilinear depth 3"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "algebraic independence in positive characteristic a p adic calculus"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"

Connected through hyperedge HE-4 (induced by source paper "hitting sets for low distance multilinear depth 3"):
  with members:
    - "progress on polynomial identity testing ii"
    - "pseudorandomness for multilinear read once algebraic branching programs in any order"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"
    - "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"
    - "deterministic identity testing of read once algebraic branching programs"
    - "an almost optimal rank bound for depth 3 identities"

Connected through hyperedge HE-5 (induced by source paper "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"):
  with members:
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "better pseudorandom generators from milder pseudorandom restrictions"
    - "quasi polynomial hitting set for set depth delta formulas"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"
    - "almost settling the hardness of noncommutative determinant"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"
    - "deterministic black box identity testing pi ordered algebraic branching programs"

Connected through hyperedge HE-6 (induced by source paper "quasi polynomial hitting set for set depth delta formulas"):
  with members:
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "algebraic independence and blackbox identity testing"

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)