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: "testing k modal distributions optimal algorithms via reductions"
  Abstract: We give highly efficient algorithms, and almost matching lower bounds, for a range of basic statistical problems that involve testing and estimating the L_1 distance between two k-modal distributions $p$ and $q$ over the discrete domain $\{1,\dots,n\}$. More precisely, we consider the following four problems: given sample access to an unknown k-modal distribution $p$, #R##N#Testing identity to a known or unknown distribution: #R##N#1. Determine whether $p = q$ (for an explicitly given k-modal distribution $q$) versus $p$ is $\eps$-far from $q$; #R##N#2. Determine whether $p=q$ (where $q$ is available via sample access) versus $p$ is $\eps$-far from $q$; #R##N#Estimating $L_1$ distance ("tolerant testing'') against a known or unknown distribution: #R##N#3. Approximate $d_{TV}(p,q)$ to within additive $\eps$ where $q$ is an explicitly given k-modal distribution $q$; #R##N#4. Approximate $d_{TV}(p,q)$ to within additive $\eps$ where $q$ is available via sample access. #R##N#For each of these four problems we give sub-logarithmic sample algorithms, that we show are tight up to additive $\poly(k)$ and multiplicative $\polylog\log n+\polylog k$ factors. Thus our bounds significantly improve the previous results of \cite{BKR:04}, which were for testing identity of distributions (items (1) and (2) above) in the special cases k=0 (monotone distributions) and k=1 (unimodal distributions) and required $O((\log n)^3)$ samples. #R##N#As our main conceptual contribution, we introduce a new reduction-based approach for distribution-testing problems that lets us obtain all the above results in a unified way. Roughly speaking, this approach enables us to transform various distribution testing problems for k-modal distributions over $\{1,\dots,n\}$ to the corresponding distribution testing problems for unrestricted distributions over a much smaller domain $\{1,\dots,\ell\}$ where $\ell = O(k \log n).$

Connected through hyperedge HE-1 (induced by source paper "monotone probability distributions over the boolean cube can be learned with sublinear samples"):
  with members:
    - "towards testing monotonicity of distributions over general posets"
    - "fast and sample near optimal algorithms for learning multidimensional histograms"
    - "on learning mixtures of well separated gaussians"
    - "efficient robust proper learning of log concave distributions"
    - "collision based testers are optimal for uniformity and closeness"
    - "testing bayesian networks"
    - "on the structure covering and learning of poisson multinomial distributions"
    - "optimal testing for properties of distributions"

Connected through hyperedge HE-2 (induced by source paper "communication and memory efficient testing of discrete distributions"):
  with members:
    - "geometric lower bounds for distributed parameter estimation under communication constraints"
    - "two party distribution testing communication and security"
    - "inference under information constraints i lower bounds from chi square contraction"
    - "near optimal closeness testing of discrete histogram distributions"
    - "sample optimal identity testing with high probability"
    - "sharp bounds for generalized uniformity testing"
    - "generalized uniformity testing"
    - "testing conditional independence of discrete distributions"

Connected through hyperedge HE-3 (induced by source paper "towards testing monotonicity of distributions over general posets"):
  with members:
    - "optimal testing for properties of distributions"
    - "big data on the rise testing monotonicity of distributions"
    - "a polynomial lower bound for testing monotonicity"
    - "testing shape restrictions of discrete distributions"
    - "minimax rates of entropy estimation on large alphabets via best polynomial approximation"
    - "an optimal lower bound for monotonicity testing over hypergrids"
    - "optimal bounds for monotonicity and lipschitz testing over hypercubes and hypergrids"
    - "learning k modal distributions via testing"

Connected through hyperedge HE-4 (induced by source paper "testing identity of multidimensional histograms"):
  with members:
    - "fast and sample near optimal algorithms for learning multidimensional histograms"
    - "near optimal closeness testing of discrete histogram distributions"
    - "sample optimal identity testing with high probability"
    - "sharp bounds for generalized uniformity testing"
    - "fourier based testing for families of distributions"
    - "generalized uniformity testing"
    - "testing conditional independence of discrete distributions"
    - "a new approach for testing properties of discrete distributions"

Connected through hyperedge HE-5 (induced by source paper "anaconda a non adaptive conditional sampling algorithm for distribution testing"):
  with members:
    - "generalized uniformity testing"
    - "which distribution distances are sublinearly testable"
    - "a new approach for testing properties of discrete distributions"
    - "testing ising models"
    - "improving and extending the testing of distributions for shape restricted properties"
    - "faster sublinear algorithms using conditional sampling"
    - "optimal testing for properties of distributions"
    - "big data on the rise testing monotonicity of distributions"

Connected through hyperedge HE-6 (induced by source paper "testing matrix rank optimally"):
  with members:
    - "improved algorithms for adaptive compressed sensing"
    - "matrix completion and related problems via strong duality"
    - "embeddings of schatten norms with applications to data streams"
    - "on approximating functions of the singular values in a stream"
    - "the dictionary testing problem"
    - "sublinear estimation of weighted matchings in dynamic data streams"
    - "sketching as a tool for numerical linear algebra"
    - "relations among some low rank subspace recovery models"

Connected through hyperedge HE-7 (induced by source paper "sampling correctors"):
  with members:
    - "sample optimal density estimation in nearly linear time"
    - "testing probability distributions underlying aggregated data"
    - "faster and sample near optimal algorithms for proper learning mixtures of gaussians"
    - "efficient density estimation via piecewise polynomial approximation"
    - "learning mixtures of structured distributions over discrete domains"
    - "local reconstructors and tolerant testers for connectivity and diameter"
    - "on the power of conditional samples in distribution testing"
    - "learning poisson binomial distributions"

Connected through hyperedge HE-8 (induced by source paper "estimating learnability in the sublinear data regime"):
  with members:
    - "statistical query lower bounds for robust estimation of high dimensional gaussians and gaussian mixtures"
    - "spectrum estimation from samples"
    - "minimax estimation of functionals of discrete distributions"
    - "minimax rates of entropy estimation on large alphabets via best polynomial approximation"
    - "new algorithms and lower bounds for monotonicity testing"
    - "the power of localization for efficiently learning linear separators with noise"
    - "optimal algorithms for testing closeness of discrete distributions"
    - "active property testing"

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.DS(Data Structures and Algorithms)