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 "properly learning poisson binomial distributions in almost polynomial time"):
  Abstract: We give an algorithm for properly learning Poisson binomial distributions. A Poisson binomial distribution (PBD) of order $n$ is the discrete probability distribution of the sum of $n$ mutually independent Bernoulli random variables. Given $\widetilde{O}(1/\epsilon^2)$ samples from an unknown PBD $\mathbf{p}$, our algorithm runs in time $(1/\epsilon)^{O(\log \log (1/\epsilon))}$, and outputs a hypothesis PBD that is $\epsilon$-close to $\mathbf{p}$ in total variation distance. The previously best known running time for properly learning PBDs was $(1/\epsilon)^{O(\log(1/\epsilon))}$. #R##N#As one of our main contributions, we provide a novel structural characterization of PBDs. We prove that, for all $\epsilon >0,$ there exists an explicit collection $\cal{M}$ of $(1/\epsilon)^{O(\log \log (1/\epsilon))}$ vectors of multiplicities, such that for any PBD $\mathbf{p}$ there exists a PBD $\mathbf{q}$ with $O(\log(1/\epsilon))$ distinct parameters whose multiplicities are given by some element of ${\cal M}$, such that $\mathbf{q}$ is $\epsilon$-close to $\mathbf{p}$. Our proof combines tools from Fourier analysis and algebraic geometry. #R##N#Our approach to the proper learning problem is as follows: Starting with an accurate non-proper hypothesis, we fit a PBD to this hypothesis. More specifically, we essentially start with the hypothesis computed by the computationally efficient non-proper learning algorithm in our recent work~\cite{DKS15}. Our aforementioned structural characterization allows us to reduce the corresponding fitting problem to a collection of $(1/\epsilon)^{O(\log \log(1/\epsilon))}$ systems of low-degree polynomial inequalities. We show that each such system can be solved in time $(1/\epsilon)^{O(\log \log(1/\epsilon))}$, which yields the overall running time of our algorithm.

Includes members:
  Member "a nearly optimal and agnostic algorithm for properly learning a mixture of k gaussians for any constant k":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "statistical query lower bounds for robust estimation of high dimensional gaussians and gaussian mixtures")
  Member "on the structure covering and learning of poisson multinomial distributions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "monotone probability distributions over the boolean cube can be learned with sublinear samples")
  Member "optimal testing for properties of distributions":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "monotone probability distributions over the boolean cube can be learned with sublinear samples")
  Member "the fourier transform of poisson multinomial distributions and its algorithmic applications":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "private hypothesis selection")
  Member "pseudorandomness via the discrete fourier transform":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "fourier bounds and pseudorandom generators for product tests")
  Member "optimal learning via the fourier transform for sums of independent integer random variables":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "monotone probability distributions over the boolean cube can be learned with sublinear samples")
  Member "sample optimal density estimation in nearly linear time":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "learning structured distributions from untrusted batches faster and simpler")
  Member "testing shape restrictions of discrete distributions":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "monotone probability distributions over the boolean cube can be learned with sublinear samples")

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)