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 "approximately counting and sampling small witnesses using a colourful decision oracle"):
  Abstract: In this paper, we prove "black box" results for turning algorithms which decide whether or not a witness exists into algorithms to approximately count the number of witnesses, or to sample from the set of witnesses approximately uniformly, with essentially the same running time. We do so by extending the framework of Dell and Lapinskas (STOC 2018), which covers decision problems that can be expressed as edge detection in bipartite graphs given limited oracle access; our framework covers problems which can be expressed as edge detection in arbitrary $k$-hypergraphs given limited oracle access. (Simulating this oracle generally corresponds to invoking a decision algorithm.) This includes many key problems in both the fine-grained setting (such as $k$-SUM, $k$-OV and weighted $k$-Clique) and the parameterised setting (such as induced subgraphs of size $k$ or weight-$k$ solutions to CSPs). From an algorithmic standpoint, our results will make the development of new approximate counting algorithms substantially easier; indeed, it already yields a new state-of-the-art algorithm for approximately counting graph motifs, improving on Jerrum and Meeks (JCSS 2015) unless the input graph is very dense and the desired motif very small. Our $k$-hypergraph reduction framework generalises and strengthens results in the graph oracle literature due to Beame et al. (ITCS 2018) and Bhattacharya et al. (CoRR abs/1808.00691).

Includes members:
  Member "counting answers to existential questions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "counting and finding homomorphisms is universal for parameterized complexity theory")
  Member "zeros of holant problems locations and algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "zeros and approximations of holant polynomials on the complex plane")
  Member "more consequences of falsifying seth and the orthogonal vectors conjecture":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "coarse grained complexity for dynamic algorithms")
  Member "fine grained reductions from approximate counting to decision":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on the fine grained complexity of parity problems")
  Member "near optimal linear decision trees for k sum and related problems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "all non trivial variants of 3 ldt are equivalent")
  Member "edge estimation with independent set oracles":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "near neighbor who is the fairest of them all")
  Member "the hardness of embedding grids and walls":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "homomorphisms are a good basis for counting small subgraphs")
  Member "randomised enumeration of small witnesses using a decision oracle":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "which np hard sat and csp problems admit exponentially improved algorithms")

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.DS(Data Structures and Algorithms)