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 "discrepancy analysis of a new randomized diffusion algorithm for weighted round matrices"):
  Abstract: For an arbitrary initial configuration of indivisible loads over vertices of a distributed network, we consider the problem of minimizing the discrepancy between the maximum and minimum load among all vertices. For this problem, diffusion-based algorithms are well studied because of its simplicity. This paper presents a new randomized diffusion-based algorithm inspired by multiple random walks. In our algorithm, at each vertex, each token $k$ ($k\in \{0,1,\ldots, X-1\}$) generate a random number in $[k/X, (k+1)/X)$, and moves to a vertex corresponding to the given probability distribution. Our algorithm is adaptive to any transition transition probabilities while almost all previous works are concerned with uniform transition probabilities. For this algorithm, we analyze the discrepancy between the token configuration and its expected value, and give an upper bound depending on the local 2-divergence of the transition matrix and $\sqrt{\log n}$, where $n$ is the number of vertices. The local 2-divergence is a measure which often appeared in previous works. We also give an upper bound of the local-2 divergence for any reversible and lazy transition matrix. These yield the following specific results. First, our algorithm achieves $O(\sqrt{d \log n})$ discrepancy for any $d$ regular graph, which matches the best result on previous works of diffusion model. Note that our algorithm does not need any assumption such as negative loads which are often assumed in previous works. Second, for general graphs with maximum degree $d_{\max}$, our algorithm achieves $O(\sqrt{ d_{\max} \log n})$ discrepancy using the transition matrix based on the metropolis hasting algorithm. Note that this algorithm does not need information of $d_{\max}$ while almost all previous works use it.

Includes members:
  Member "improved analysis of deterministic load balancing schemes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the cover time of deterministic random walks for general transition probabilities")
  Member "deterministic random walks for rapidly mixing chains":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the cover time of deterministic random walks for general transition probabilities")
  Member "quasirandom load balancing":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "reachability switching games")
  Member "tight bounds for randomized load balancing on arbitrary network topologies":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "parallel balanced allocations the heavily loaded case")

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)