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: "chains of mean field models"
  Abstract: We consider a collection of Curie-Weiss (CW) spin systems, possibly with a random field, each of which is placed along the positions of a one-dimensional chain. The CW systems are coupled together by a Kac-type interaction in the longitudinal direction of the chain and by an infinite-range interaction in the direction transverse to the chain. Our motivations for studying this model come from recent findings in the theory of error-correcting codes based on spatially coupled graphs. We find that, although much simpler than the codes, the model studied here already displays similar behavior. We are interested in the van der Waals curve in a regime where the size of each Curie-Weiss model tends to infinity, and the length of the chain and range of the Kac interaction are large but finite. Below the critical temperature, and with appropriate boundary conditions, there appears a series of equilibrium states representing kink-like interfaces between the two equilibrium states of the individual system. The van der Waals curve oscillates periodically around the Maxwell plateau. These oscillations have a period inversely proportional to the chain length and an amplitude exponentially small in the range of the interaction; in other words, the spinodal points of the chain model lie exponentially close to the phase transition threshold. The amplitude of the oscillations is closely related to a Peierls-Nabarro free energy barrier for the motion of the kink along the chain. Analogies to similar phenomena and their possible algorithmic significance for graphical models of interest in coding theory and theoretical computer science are pointed out.

Connected through hyperedge HE-1 (induced by source paper "universal sparse superposition codes with spatial coupling and gamp decoding"):
  with members:
    - "optimal errors and phase transitions in high dimensional generalized linear models"
    - "plug in estimation in high dimensional linear inverse problems a rigorous analysis"
    - "techniques for improving the finite length performance of sparse superposition codes"
    - "a compressed sensing approach for distribution matching"
    - "approximate message passing decoder and capacity achieving sparse superposition codes"
    - "capacity achieving sparse superposition codes via approximate message passing decoding"
    - "state evolution for approximate message passing with non separable functions"
    - "generalized approximate message passing decoder for universal sparse superposition codes"

Connected through hyperedge HE-2 (induced by source paper "approximate message passing decoder and capacity achieving sparse superposition codes"):
  with members:
    - "capacity achieving sparse superposition codes via approximate message passing decoding"
    - "generalized approximate message passing decoder for universal sparse superposition codes"
    - "the replica symmetric prediction for compressed sensing with gaussian matrices is exact"
    - "threshold saturation of spatially coupled sparse superposition codes for all memoryless channels"
    - "phase transitions and sample complexity in bayes optimal matrix factorization"
    - "the mutual information in random linear estimation"
    - "proof of threshold saturation for spatially coupled sparse superposition codes"
    - "compressive phase retrieval via generalized approximate message passing"

Connected through hyperedge HE-3 (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-4 (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"
    - "displacement convexity a useful framework for the study of spatially coupled codes"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "approaching capacity at high rates with iterative hard decision decoding"

Connected through hyperedge HE-5 (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"
    - "displacement convexity a useful framework for the study of spatially coupled codes"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "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-6 (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"
    - "displacement convexity a useful framework for the study of spatially coupled codes"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "wave like solutions of general one dimensional spatially coupled systems"

Connected through hyperedge HE-7 (induced by source paper "analysis of coupled scalar systems by displacement convexity"):
  with members:
    - "displacement convexity a useful framework for the study of spatially coupled codes"
    - "a proof of threshold saturation for spatially coupled ldpc codes on bms channels"
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "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"

Connected through hyperedge HE-8 (induced by source paper "performance improvement of iterative multiuser detection for large sparsely spread cdma systems by spatial coupling"):
  with members:
    - "iterative multiuser detection and decoding with spatially coupled interleaving"
    - "thresholds of spatially coupled systems via lyapunov s method"
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "a phenomenological study on threshold improvement via spatial coupling"
    - "wave like solutions of general one dimensional spatially coupled systems"
    - "threshold saturation on channels with memory via spatial coupling"
    - "information theoretically optimal compressed sensing via spatial coupling and approximate message passing"
    - "spatially coupled mackay neal codes and hsu anastasopoulos codes"

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.DM(Discrete Mathematics)