human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "unifying known lower bounds via geometric complexity theory"):
  Abstract: We show that most algebraic circuit lower bounds and relations between lower bounds naturally fit into the representation-theoretic framework suggested by geometric complexity theory (GCT), including: the partial derivatives technique (Nisan---Wigderson), the results of Razborov and Smolensky on AC 0[p], multilinear formula and circuit size lower bounds (Raz et al.), the degree bound (Strassen, Baur---Strassen), the connected components technique (Ben-Or, Steele---Yao), depth 3 algebraic circuit lower bounds over finite fields (Grigoriev---Karpinski), lower bounds on permanent versus determinant (Mignon---Ressayre, Landsberg---Manivel---Ressayre), lower bounds on matrix multiplication (Burgisser---Ikenmeyer, Landsberg---Ottaviani) (these last two were already known to fit into GCT), the chasms at depth 3 and 4 (Gupta---Kayal---Kamath---Saptharishi, Agrawal---Vinay, Koiran, Tavenas), matrix rigidity (Valiant) and others. That is, the original proofs, with what is often just a little extra work, already provide representation-theoretic obstructions in the sense of GCT for their respective lower bounds. This enables us to expose a new viewpoint on GCT, whereby it is a natural unification of known results and broad generalization of known techniques. It also shows that the framework of GCT is at least as powerful as previous methods, and gives many new proofs-of-concept that GCT can indeed provide significant asymptotic lower bounds. This new viewpoint also opens up the possibility of fruitful two-way interactions between previous results and the new methods of GCT; we provide several concrete suggestions of such interactions. For example, the representation-theoretic viewpoint of GCT naturally provides new properties to consider in the search for new lower bounds.

Includes members:
  Member "the complexity of factors of multivariate polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "algebraic branching programs border complexity and tangent spaces")
  Member "lower bounds for the circuit size of partially homogeneous polynomials":
    also connected through other hyperedges:
      (none)
  Member "using elimination theory to construct rigid matrices":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "probabilistic rank and matrix rigidity")
  Member "equations for lower bounds on border rank":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the complexity of matrix multiplication developments since 2014 extended abstract of 2018 oberwolfach complexity meeting plenary lecture")
  Member "complexity of linear circuits and geometry":
    also connected through other hyperedges:
      (none)
  Member "improved bounds for reduction to depth 4 and depth 3":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "lower bounds for matrix factorization")
  Member "natural proofs versus derandomization":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "toward super polynomial size lower bounds for depth two threshold circuits")
  Member "explicit lower bounds via geometric complexity theory":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the computational complexity of plethysm coefficients")

Question: Please tell me which class the source paper 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)