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 "a class of nonconvex penalties preserving overall convexity in optimization based mean filtering"):
  Abstract: $\ell _1$   mean filtering is a conventional, optimization-based method to estimate the positions of jumps in a piecewise constant signal perturbed by additive noise. In this method, the   $\ell _1$   norm penalizes sparsity of the first-order derivative of the signal. Theoretical results, however, show that in some situations, which can occur frequently in practice, even when the jump amplitudes tend to    $\infty$  , the conventional method identifies false change points. This issue, which is referred to as the stair-casing problem herein, restricts practical importance of   $\ell _1$   mean filtering. In this paper, sparsity is penalized more tightly than the   $\ell _1$    norm by exploiting a certain class of nonconvex functions, while the strict convexity of the consequent optimization problem is preserved. This results in a higher performance in detecting change points. To theoretically justify the performance improvements over   $\ell _1$    mean filtering, deterministic and stochastic sufficient conditions for exact change point recovery are derived. In particular, theoretical results show that in the stair-casing problem, our approach might be able to exclude the false change points, while   $\ell _1$   mean filtering may fail. A number of numerical simulations assist to show superiority of our method over   $\ell _1$   mean filtering and another state-of-the-art algorithm that promotes sparsity tighter than the   $\ell _1$   norm. Specifically, it is shown that our approach can consistently detect change points when the jump amplitudes become sufficiently large, while the two other competitors cannot.

Includes members:
  Member "enhanced low rank matrix approximation":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a benchmark for sparse coding when group sparsity meets rank minimization")
  Member "successive concave sparsity approximation for compressed sensing":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "upper bounds on the error of sparse vector and low rank matrix recovery")
  Member "iterative concave rank approximation for recovering low rank matrices":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "ell_0 motivated low rank sparse subspace clustering")
  Member "recovery of low rank matrices under affine constraints via a smoothed rank function":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "deep mr image super resolution using structural priors")
  Member "performance guarantees for schatten p quasi norm minimization in recovery of low rank matrices":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "matrix completion via nonconvex regularization convergence of the proximal gradient algorithm")

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.IT(Information Theory)