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 "displacement convexity a useful framework for the study of spatially coupled codes"):
  Abstract: Spatial coupling has recently emerged as a powerful paradigm to construct graphical models that work well under low-complexity message-passing algorithms. Although much progress has been made on the analysis of spatially coupled models under message passing, there is still room for improvement, both in terms of simplifying existing proofs as well as in terms of proving additional properties. #R##N#We introduce one further tool for the analysis, namely the concept of displacement convexity. This concept plays a crucial role in the theory of optimal transport and, quite remarkably, it is also well suited for the analysis of spatially coupled systems. In cases where the concept applies, displacement convexity allows functionals of distributions which are not convex in the usual sense to be represented in an alternative form, so that they are convex with respect to the new parametrization. As a proof of concept we consider spatially coupled $(l,r)$-regular Gallager ensembles when transmission takes place over the binary erasure channel. We show that the potential function of the coupled system is displacement convex. Due to possible translational degrees of freedom convexity by itself falls short of establishing the uniqueness of the minimizing profile. For the spatially coupled $(l,r)$-regular system strict displacement convexity holds when a global translation degree of freedom is removed. Implications for the uniqueness of the minimizer and for solutions of the density evolution equation are discussed.

Includes members:
  Member "a proof of threshold saturation for spatially coupled ldpc codes on bms channels":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "analysis of coupled scalar systems by displacement convexity")
  Member "a simple proof of threshold saturation for coupled scalar recursions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "peeling close to the orientability threshold spatial coupling in hashing based data structures")
  Member "spatially coupled ensembles universally achieve capacity under belief propagation":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "capacity achieving spatially coupled sparse superposition codes with amp decoding")
  Member "chains of mean field models":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "universal sparse superposition codes with spatial coupling and gamp decoding")
  Member "wave like solutions of general one dimensional spatially coupled systems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the velocity of the propagating wave for spatially coupled systems with applications to ldpc codes")
  Member "threshold saturation via spatial coupling why convolutional ldpc ensembles perform so well over the bec":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "capacity achieving spatially coupled sparse superposition codes with amp decoding")

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)