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: "from sylvester gallai configurations to rank bounds improved black box identity test for depth 3 circuits"
  Abstract: We study the problem of identity testing for depth-3 circuits of top fanin k and degree d. We give a new structure theorem for such identities. A direct application of our theorem improves the known deterministic d^{k^k}-time black-box identity test over rationals (Kayal-Saraf, FOCS 2009) to one that takes d^{k^2}-time. Our structure theorem essentially says that the number of independent variables in a real depth-3 identity is very small. This theorem settles affirmatively the stronger rank conjectures posed by Dvir-Shpilka (STOC 2005) and Kayal-Saraf (FOCS 2009). Our techniques provide a unified framework that actually beats all known rank bounds and hence gives the best running time (for every field) for black-box identity tests. #R##N#Our main theorem (almost optimally) pins down the relation between higher dimensional Sylvester-Gallai theorems and the rank of depth-3 identities in a very transparent manner. The existence of this was hinted at by Dvir-Shpilka (STOC 2005), but first proven, for reals, by Kayal-Saraf (FOCS 2009). We introduce the concept of Sylvester-Gallai rank bounds for any field, and show the intimate connection between this and depth-3 identity rank bounds. We also prove the first ever theorem about high dimensional Sylvester-Gallai configurations over any field. Our proofs and techniques are very different from previous results and devise a very interesting ensemble of combinatorics and algebra. The latter concepts are ideal theoretic and involve a new Chinese remainder theorem. Our proof methods explain the structure of any depth-3 identity C: there is a nucleus of C that forms a low rank identity, while the remainder is a high dimensional Sylvester-Gallai configuration.

Connected through hyperedge HE-1 (induced by source paper "arithmetic circuits with locally low algebraic rank"):
  with members:
    - "an exponential lower bound for homogeneous depth 5 circuits over finite fields"
    - "sums of products of polynomials in few variables lower bounds and polynomial identity testing"
    - "subexponential size hitting sets for bounded depth multilinear formulas"
    - "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"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"

Connected through hyperedge HE-2 (induced by source paper "reconstruction of real depth 3 circuits with top fan in 2"):
  with members:
    - "progress on polynomial identity testing ii"
    - "new results on noncommutative and commutative polynomial identity testing"

Connected through hyperedge HE-3 (induced by source paper "testing equivalence of polynomials under shifts"):
  with members:
    - "pseudorandomness for multilinear read once algebraic branching programs in any order"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"
    - "an almost optimal rank bound for depth 3 identities"

Connected through hyperedge HE-4 (induced by source paper "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"):
  with members:
    - "algebraic independence in positive characteristic a p adic calculus"
    - "the limited power of powering polynomial identity testing and a depth four lower bound for the permanent"
    - "algebraic independence and blackbox identity testing"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"
    - "deterministic polynomial time algorithms for matrix completion problems"
    - "an almost optimal rank bound for depth 3 identities"

Connected through hyperedge HE-5 (induced by source paper "algebraic independence and blackbox identity testing"):
  with members:
    - "progress on polynomial identity testing ii"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"
    - "deterministic polynomial time algorithms for matrix completion problems"
    - "an almost optimal rank bound for depth 3 identities"
    - "reducing randomness via irrational numbers"

Connected through hyperedge HE-6 (induced by source paper "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"):
  with members:
    - "progress on polynomial identity testing ii"
    - "algebraic independence and blackbox identity testing"
    - "an almost optimal rank bound for depth 3 identities"
    - "reducing randomness via irrational numbers"

Connected through hyperedge HE-7 (induced by source paper "an almost optimal rank bound for depth 3 identities"):
  with members:
    - "reducing randomness via irrational numbers"

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)