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 "testing identity of multidimensional histograms"):
  Abstract: We investigate the problem of identity testing for multidimensional histogram distributions. A distribution $p: D \rightarrow \mathbb{R}_+$, where $D \subseteq \mathbb{R}^d$, is called a {$k$-histogram} if there exists a partition of the domain into $k$ axis-aligned rectangles such that $p$ is constant within each such rectangle. Histograms are one of the most fundamental non-parametric families of distributions and have been extensively studied in computer science and statistics. We give the first identity tester for this problem with {\em sub-learning} sample complexity in any fixed dimension and a nearly-matching sample complexity lower bound. #R##N#More specifically, let $q$ be an unknown $d$-dimensional $k$-histogram and $p$ be an explicitly given $k$-histogram. We want to correctly distinguish, with probability at least $2/3$, between the case that $p = q$ versus $\|p-q\|_1 \geq \epsilon$. We design a computationally efficient algorithm for this hypothesis testing problem with sample complexity $O((\sqrt{k}/\epsilon^2) \log^{O(d)}(k/\epsilon))$. Our algorithm is robust to model misspecification, i.e., succeeds even if $q$ is only promised to be {\em close} to a $k$-histogram. Moreover, for $k = 2^{\Omega(d)}$, we show a nearly-matching sample complexity lower bound of $\Omega((\sqrt{k}/\epsilon^2) (\log(k/\epsilon)/d)^{\Omega(d)})$ when $d\geq 2$. #R##N#Prior to our work, the sample complexity of the $d=1$ case was well-understood, but no algorithm with sub-learning sample complexity was known, even for $d=2$. Our new upper and lower bounds have interesting conceptual implications regarding the relation between learning and testing in this setting.

Includes members:
  Member "fast and sample near optimal algorithms for learning multidimensional histograms":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "monotone probability distributions over the boolean cube can be learned with sublinear samples")
  Member "near optimal closeness testing of discrete histogram distributions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "communication and memory efficient testing of discrete distributions")
  Member "sample optimal identity testing with high probability":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "communication and memory efficient testing of discrete distributions")
  Member "sharp bounds for generalized uniformity testing":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "communication and memory efficient testing of discrete distributions")
  Member "fourier based testing for families of distributions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "sharp bounds for generalized uniformity testing")
  Member "generalized uniformity testing":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "communication and memory efficient testing of discrete distributions")
  Member "testing conditional independence of discrete distributions":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "private identity testing for high dimensional distributions")
  Member "a new approach for testing properties of discrete distributions":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "private identity testing for high dimensional distributions")

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)