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: "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"
  Abstract: We present a single, common tool to strictly subsume all known cases of polynomial time blackbox polynomial identity testing (PIT) that have been hitherto solved using diverse tools and techniques. In particular, we show that polynomial time hitting-set generators for identity testing of the two seemingly different and well studied models - depth-3 circuits with bounded top fanin, and constant-depth constant-read multilinear formulas - can be constructed using one common algebraic-geometry theme: Jacobian captures algebraic independence. By exploiting the Jacobian, we design the first efficient hitting-set generators for broad generalizations of the above-mentioned models, namely: #R##N#(1) depth-3 (Sigma-Pi-Sigma) circuits with constant transcendence degree of the polynomials computed by the product gates (no bounded top fanin restriction), and (2) constant-depth constant-occur formulas (no multilinear restriction). #R##N#Constant-occur of a variable, as we define it, is a much more general concept than constant-read. Also, earlier work on the latter model assumed that the formula is multilinear. Thus, our work goes further beyond the results obtained by Saxena & Seshadhri (STOC 2011), Saraf & Volkovich (STOC 2011), Anderson et al. (CCC 2011), Beecken et al. (ICALP 2011) and Grenet et al. (FSTTCS 2011), and brings them under one unifying technique. #R##N#In addition, using the same Jacobian based approach, we prove exponential lower bounds for the immanant (which includes permanent and determinant) on the same depth-3 and depth-4 models for which we give efficient PIT algorithms. Our results reinforce the intimate connection between identity testing and lower bounds by exhibiting a concrete mathematical tool - the Jacobian - that is equally effective in solving both the problems on certain interesting and previously well-investigated (but not well understood) models of computation.

Connected through hyperedge HE-1 (induced by source paper "constructing faithful homomorphisms over fields of finite characteristic"):
  with members:
    - "algebraic dependencies and pspace algorithms in approximative complexity"
    - "arithmetic circuits with locally low algebraic rank"
    - "algebraic independence and blackbox identity testing"

Connected through hyperedge HE-2 (induced by source paper "towards an algebraic natural proofs barrier via polynomial identity testing"):
  with members:
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "arithmetic circuits with locally low algebraic rank"
    - "geometric complexity theory and matrix powering"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "no occurrence obstructions in geometric complexity theory"
    - "the chasm at depth four and tensor rank old results new insights"
    - "on minimal free resolutions and the method of shifted partial derivatives in complexity theory"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"

Connected through hyperedge HE-3 (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"
    - "algebraic independence and blackbox identity testing"

Connected through hyperedge HE-4 (induced by source paper "sums of products of polynomials in few variables lower bounds and polynomial identity testing"):
  with members:
    - "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"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "arithmetic circuits the chasm at depth four gets wider"

Connected through hyperedge HE-5 (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-6 (induced by source paper "hitting sets for roabp and sum of set multilinear circuits"):
  with members:
    - "progress on polynomial identity testing ii"
    - "subexponential size hitting sets for bounded depth multilinear formulas"
    - "pseudorandomness and fourier growth bounds for width 3 branching programs"
    - "pseudorandomness for multilinear read once algebraic branching programs in any order"
    - "pseudorandomness for regular branching programs via fourier analysis"
    - "hitting sets for low distance multilinear depth 3"
    - "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"

Connected through hyperedge HE-7 (induced by source paper "subexponential size hitting sets for bounded depth multilinear formulas"):
  with members:
    - "hitting sets for roabp and sum of set multilinear circuits"
    - "deterministic identity testing for sum of read once oblivious arithmetic branching programs"
    - "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"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"
    - "arithmetic circuits the chasm at depth four gets wider"

Connected through hyperedge HE-8 (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"
    - "from sylvester gallai configurations to rank bounds improved black box identity test for depth 3 circuits"
    - "an almost optimal rank bound for depth 3 identities"

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)