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: "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
  Abstract: We say that a circuit $C$ over a field $F$ functionally computes an $n$-variate polynomial $P$ if for every $x \in \{0,1\}^n$ we have that $C(x) = P(x)$. This is in contrast to syntactically computing $P$, when $C \equiv P$ as formal polynomials. In this paper, we study the question of proving lower bounds for homogeneous depth-$3$ and depth-$4$ arithmetic circuits for functional computation. We prove the following results : #R##N#1. Exponential lower bounds homogeneous depth-$3$ arithmetic circuits for a polynomial in $VNP$. #R##N#2. Exponential lower bounds for homogeneous depth-$4$ arithmetic circuits with bounded individual degree for a polynomial in $VNP$. #R##N#Our main motivation for this line of research comes from our observation that strong enough functional lower bounds for even very special depth-$4$ arithmetic circuits for the Permanent imply a separation between ${\#}P$ and $ACC$. Thus, improving the second result to get rid of the bounded individual degree condition could lead to substantial progress in boolean circuit complexity. Besides, it is known from a recent result of Kumar and Saptharishi [KS15] that over constant sized finite fields, strong enough average case functional lower bounds for homogeneous depth-$4$ circuits imply superpolynomial lower bounds for homogeneous depth-$5$ circuits. #R##N#Our proofs are based on a family of new complexity measures called shifted evaluation dimension, and might be of independent interest.

Connected through hyperedge HE-1 (induced by source paper "symmetric arithmetic circuits"):
  with members:
    - "on the power of symmetric linear programs"
    - "on weisfeiler leman invariance subgraph counts and related graph properties"
    - "symmetric circuits for rank logic"
    - "on symmetric circuits and fixed point logics"

Connected through hyperedge HE-2 (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"
    - "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"
    - "hitting sets for roabp and sum of set multilinear circuits"

Connected through hyperedge HE-3 (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"
    - "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"
    - "an exponential lower bound for homogeneous depth 5 circuits over finite fields"

Connected through hyperedge HE-4 (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"
    - "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"
    - "equations for lower bounds on border rank"

Connected through hyperedge HE-5 (induced by source paper "sparse multivariate polynomial interpolation on the basis of schubert polynomials"):
  with members:
    - "a structured view on weighted counting with relations to counting quantum computation and applications"
    - "new results on noncommutative and commutative polynomial identity testing"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

Connected through hyperedge HE-6 (induced by source paper "proof complexity lower bounds from algebraic circuit complexity"):
  with members:
    - "an exponential lower bound for homogeneous depth 5 circuits over finite fields"
    - "identity testing and lower bounds for read k oblivious algebraic branching programs"
    - "circuit complexity proof complexity and polynomial identity testing"
    - "subexponential size hitting sets for bounded depth multilinear formulas"
    - "hitting sets for roabp and sum of set multilinear circuits"
    - "deterministic identity testing for sum of read once oblivious arithmetic branching programs"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"

Connected through hyperedge HE-7 (induced by source paper "algebraic proof complexity progress frontiers and challenges"):
  with members:
    - "proof complexity lower bounds from algebraic circuit complexity"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "generating matrix identities and proof complexity"
    - "circuit complexity proof complexity and polynomial identity testing"
    - "short proofs for the determinant identities"
    - "algebraic proofs over noncommutative formulas"
    - "resolution over linear equations and multilinear proofs"

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)