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: "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
  Abstract: We formalize a framework of algebraically natural lower bounds for algebraic circuits. Just as with the natural proofs notion of Razborov and Rudich for boolean circuit lower bounds, our notion of algebraically natural lower bounds captures nearly all lower bound techniques known. However, unlike the boolean setting, there has been no concrete evidence demonstrating that this is a barrier to obtaining super-polynomial lower bounds for general algebraic circuits, as there is little understanding whether algebraic circuits are expressive enough to support "cryptography" secure against algebraic circuits. #R##N#Following a similar result of Williams in the boolean setting, we show that the existence of an algebraic natural proofs barrier is equivalent to the existence of succinct derandomization of the polynomial identity testing problem. That is, whether the coefficient vectors of polylog(N)-degree polylog(N)-size circuits is a hitting set for the class of poly(N)-degree poly(N)-size circuits. Further, we give an explicit universal construction showing that if such a succinct hitting set exists, then our universal construction suffices. #R##N#Further, we assess the existing literature constructing hitting sets for restricted classes of algebraic circuits and observe that none of them are succinct as given. Yet, we show how to modify some of these constructions to obtain succinct hitting sets. This constitutes the first evidence supporting the existence of an algebraic natural proofs barrier. #R##N#Our framework is similar to the Geometric Complexity Theory (GCT) program of Mulmuley and Sohoni, except that here we emphasize constructiveness of the proofs while the GCT program emphasizes symmetry. Nevertheless, our succinct hitting sets have relevance to the GCT program as they imply lower bounds for the complexity of the defining equations of polynomials computed by small circuits.

Connected through hyperedge HE-1 (induced by source paper "implementing geometric complexity theory on the separation of orbit closures via symmetries"):
  with members:
    - "on geometric complexity theory multiplicity obstructions are stronger than occurrence obstructions"
    - "the complexity of factors of multivariate polynomials"
    - "towards an algebraic natural proofs barrier via polynomial identity testing"
    - "membership in moment polytopes is in np and conp"
    - "on vanishing of kronecker coefficients"
    - "geometric complexity theory and matrix powering"
    - "no occurrence obstructions in geometric complexity theory"
    - "permanent versus determinant not via saturations"

Connected through hyperedge HE-2 (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"
    - "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"
    - "computational limits for matrix completion"

Connected through hyperedge HE-3 (induced by source paper "towards an algebraic natural proofs barrier via polynomial identity testing"):
  with members:
    - "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"
    - "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"
    - "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"
    - "equations for lower bounds on border rank"

Connected through hyperedge HE-5 (induced by source paper "barriers for rank methods in arithmetic complexity"):
  with members:
    - "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"
    - "a spectral algorithm for latent dirichlet allocation"

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)