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: "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.

Connected through hyperedge HE-1 (induced by source paper "the velocity of the propagating wave for spatially coupled systems with applications to ldpc codes"):
  with members:
    - "analysis of coupled scalar systems by displacement convexity"
    - "the velocity of the propagating wave for general coupled scalar systems"
    - "the velocity of the decoding wave for spatially coupled codes on bms channels"
    - "finite length scaling based on belief propagation for spatially coupled ldpc codes"
    - "a scaling law to predict the finite length performance of spatially coupled ldpc codes"
    - "threshold saturation for spatially coupled ldpc and ldgm codes on bms channels"
    - "a simple proof of maxwell saturation for coupled scalar recursions"
    - "approaching the rate distortion limit with spatial coupling belief propagation and decimation"

Connected through hyperedge HE-2 (induced by source paper "the velocity of the propagating wave for general coupled scalar systems"):
  with members:
    - "analysis of coupled scalar systems by displacement convexity"
    - "the velocity of the decoding wave for spatially coupled codes on bms channels"
    - "a simple proof of maxwell saturation for coupled scalar recursions"
    - "threshold saturation in spatially coupled constraint satisfaction problems"
    - "on the convergence speed of spatially coupled ldpc ensembles"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "chains of mean field models"
    - "approaching capacity at high rates with iterative hard decision decoding"

Connected through hyperedge HE-3 (induced by source paper "displacement convexity in spatially coupled scalar recursions"):
  with members:
    - "analysis of coupled scalar systems by displacement convexity"
    - "a simple proof of maxwell saturation for coupled scalar recursions"
    - "threshold saturation in spatially coupled constraint satisfaction problems"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "chains of mean field models"
    - "approaching capacity at high rates with iterative hard decision decoding"
    - "wave like solutions of general one dimensional spatially coupled systems"
    - "information theoretically optimal compressed sensing via spatial coupling and approximate message passing"

Connected through hyperedge HE-4 (induced by source paper "the velocity of the decoding wave for spatially coupled codes on bms channels"):
  with members:
    - "analysis of coupled scalar systems by displacement convexity"
    - "a scaling law to predict the finite length performance of spatially coupled ldpc codes"
    - "threshold saturation for spatially coupled ldpc and ldgm codes on bms channels"
    - "a simple proof of maxwell saturation for coupled scalar recursions"
    - "on the convergence speed of spatially coupled ldpc ensembles"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "chains of mean field models"
    - "wave like solutions of general one dimensional spatially coupled systems"

Connected through hyperedge HE-5 (induced by source paper "analysis of coupled scalar systems by displacement convexity"):
  with members:
    - "a proof of threshold saturation for spatially coupled ldpc codes on bms channels"
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "chains of mean field models"
    - "wave like solutions of general one dimensional spatially coupled systems"
    - "information theoretically optimal compressed sensing via spatial coupling and approximate message passing"
    - "coupled graphical models and their thresholds"

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.IT(Information Theory)