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 "hitting sets for roabp and sum of set multilinear circuits"):
  Abstract: We give a $n^{O(\log n)}$-time ($n$ is the input size) blackbox polynomial identity testing algorithm for unknown-order read-once oblivious algebraic branching programs (ROABP). The best result known for this class was $n^{O(\log^2 n)}$ due to Forbes-Saptharishi-Shpilka (STOC 2014), and that too only for multilinear ROABP. We get rid of their exponential dependence on the individual degree. With this, we match the time-complexity for the unknown order ROABP with the known order ROABP (due to Forbes-Shpilka (FOCS 2013)) and also with the depth-$3$ set-multilinear circuits (due to Agrawal-Saha-Saxena (STOC 2013)). Our proof is simpler and involves a new technique called basis isolation. #R##N#The depth-$3$ model has recently gained much importance, as it has become a stepping-stone to understanding general arithmetic circuits. Its restriction to multilinearity has known exponential lower bounds but no nontrivial blackbox identity tests. In this paper, we take a step towards designing such hitting-sets. We give the first subexponential whitebox PIT for the sum of constantly many set-multilinear depth-$3$ circuits. To achieve this, we define notions of distance and base sets. Distance, for a multilinear depth-$3$ circuit, measures how far are the partitions from a mere refinement. We design a hitting-set in time $n^{O(d \log n)}$ for $d$-distance. Further, we give an extension of our result to models where the distance is large but it is small when restricted to certain base sets (of variables). #R##N#We also explore a new model of ROABP where the factor-matrices are invertible (called invertible-factor ROABP). We design a hitting-set in time poly($n^{w^2}$) for width-$w$ invertible-factor ROABP. Further, we could do without the invertibility restriction when $w=2$. Previously, the best result for width-$2$ ROABP was quasi-polynomial time (Forbes-Saptharishi-Shpilka, STOC 2014).

Includes members:
  Member "progress on polynomial identity testing ii":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a generalized sylvester gallai type theorem for quadratic polynomials")
  Member "subexponential size hitting sets for bounded depth multilinear formulas":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a note on polynomial identity testing for depth 3 circuits")
  Member "pseudorandomness and fourier growth bounds for width 3 branching programs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "fourier bounds and pseudorandom generators for product tests")
  Member "pseudorandomness for multilinear read once algebraic branching programs in any order":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "progress on polynomial identity testing ii")
  Member "pseudorandomness for regular branching programs via fourier analysis":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "fourier bounds and pseudorandom generators for product tests")
  Member "hitting sets for low distance multilinear depth 3":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "progress on polynomial identity testing ii")
  Member "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "derandomization and absolute reconstruction for sums of powers of linear forms")
  Member "on identity testing of tensors low rank recovery and compressed sensing":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "lower bounds for matrix factorization")

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)