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: "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).

Connected through hyperedge HE-1 (induced by source paper "lower bounds for matrix factorization"):
  with members:
    - "non malleable extractors and non malleable codes partially optimal constructions"
    - "static data structure lower bounds imply rigidity"
    - "matrix rigidity and the croot lev pach lemma"
    - "crossing the logarithmic barrier for dynamic boolean data structure lower bounds"
    - "probabilistic rank and matrix rigidity"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "the cell probe complexity of dynamic range counting"

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"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "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"

Connected through hyperedge HE-3 (induced by source paper "pseudorandom bits for oblivious branching programs"):
  with members:
    - "identity testing for constant width and any order read once oblivious arithmetic branching programs"
    - "identity testing and lower bounds for read k oblivious algebraic branching programs"
    - "pseudorandomness and fourier growth bounds for width 3 branching programs"
    - "pseudorandomness for regular branching programs via fourier analysis"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"

Connected through hyperedge HE-4 (induced by source paper "identity testing for constant width and any order read once oblivious arithmetic branching programs"):
  with members:
    - "identity testing for constant width and commutative read once oblivious abps"
    - "identity testing and lower bounds for read k oblivious algebraic branching programs"
    - "deterministic identity testing for sum of read once oblivious arithmetic branching programs"
    - "arithmetic circuits the chasm at depth four gets wider"

Connected through hyperedge HE-5 (induced by source paper "quasi polynomial hitting sets for circuits with restricted parse trees"):
  with members:
    - "identity testing for constant width and commutative read once oblivious abps"
    - "deterministic identity testing for sum of read once oblivious arithmetic branching programs"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"

Connected through hyperedge HE-6 (induced by source paper "proof complexity lower bounds from algebraic circuit complexity"):
  with members:
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "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"
    - "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 "identity testing for constant width and commutative read once oblivious abps"):
  with members:
    - "identity testing and lower bounds for read k oblivious algebraic branching programs"
    - "subexponential size hitting sets for bounded depth multilinear formulas"
    - "deterministic identity testing for sum of read once oblivious arithmetic branching programs"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "arithmetic circuits the chasm at depth four gets wider"

Connected through hyperedge HE-8 (induced by source paper "identity testing and lower bounds for read k oblivious algebraic branching programs"):
  with members:
    - "some lower bound results for set multilinear arithmetic computations"
    - "subexponential size hitting sets for bounded depth multilinear formulas"
    - "pseudorandomness and fourier growth bounds for width 3 branching programs"
    - "deterministic identity testing for sum of read once oblivious arithmetic branching programs"
    - "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"
    - "pseudorandomness for regular branching programs via fourier analysis"
    - "improved bounds for reduction to depth 4 and depth 3"

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)