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: "a proof of threshold saturation for spatially coupled ldpc codes on bms channels"
  Abstract: Low-density parity-check (LDPC) convolutional codes have been shown to exhibit excellent performance under low-complexity belief-propagation decoding [1], [2]. This phenomenon is now termed threshold saturation via spatial coupling. The underlying principle behind this appears to be very general and spatially-coupled (SC) codes have been successfully applied in numerous areas. Recently, SC regular LDPC codes have been proven to achieve capacity universally, over the class of binary memoryless symmetric (BMS) channels, under belief-propagation decoding [3], [4]. #R##N#In [5], [6], potential functions are used to prove that the BP threshold of SC irregular LDPC ensembles saturates, for the binary erasure channel, to the conjectured MAP threshold (known as the Maxwell threshold) of the underlying irregular ensembles. In this paper, that proof technique is generalized to BMS channels, thereby extending some results of [4] to irregular LDPC ensembles. We also believe that this approach can be expanded to cover a wide class of graphical models whose message-passing rules are associated with a Bethe free energy.

Connected through hyperedge HE-1 (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 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"

Connected through hyperedge HE-2 (induced by source paper "threshold saturation for nonbinary sc ldpc codes on the binary erasure channel"):
  with members:
    - "threshold saturation for spatially coupled ldpc and ldgm codes on bms channels"
    - "a simple proof of maxwell saturation for coupled scalar recursions"
    - "threshold analysis of non binary spatially coupled ldpc codes with windowed decoding"
    - "nonbinary spatially coupled ldpc codes on the binary erasure channel"
    - "thresholds of spatially coupled systems via lyapunov s method"
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "threshold saturation via spatial coupling why convolutional ldpc ensembles perform so well over the bec"
    - "design and performance of rate compatible non binary ldpc convolutional codes"

Connected through hyperedge HE-3 (induced by source paper "challenges and some new directions in channel coding"):
  with members:
    - "soft decision decoding of reed muller codes recursive lists"
    - "performance limits and practical decoding of interleaved reed solomon polar concatenated codes"
    - "non binary ldpc decoding using truncated messages in the walsh hadamard domain"
    - "expectation propagation for approximate bayesian inference"
    - "universal polar codes"
    - "rate dependent analysis of the asymptotic behavior of channel polarization"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "windowed decoding of protograph based ldpc convolutional codes over erasure channels"

Connected through hyperedge HE-4 (induced by source paper "a simple proof of maxwell saturation for coupled scalar recursions"):
  with members:
    - "threshold saturation for spatially coupled ldpc and ldgm codes on bms channels"
    - "approaching the rate distortion limit with spatial coupling belief propagation and decimation"
    - "threshold saturation in spatially coupled constraint satisfaction problems"
    - "nonbinary spatially coupled ldpc codes on the binary erasure channel"
    - "thresholds of spatially coupled systems via lyapunov s method"
    - "spatial coupling as a proof technique"
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"

Connected through hyperedge HE-5 (induced by source paper "threshold saturation for spatially coupled ldpc and ldgm codes on bms channels"):
  with members:
    - "approaching the rate distortion limit with spatial coupling belief propagation and decimation"
    - "threshold saturation in spatially coupled constraint satisfaction problems"
    - "spatial coupling as a proof technique"
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "chains of mean field models"
    - "a phenomenological study on threshold improvement via spatial coupling"
    - "approaching capacity at high rates with iterative hard decision decoding"

Connected through hyperedge HE-6 (induced by source paper "multistage compute and forward with multilevel lattice codes based on product constructions"):
  with members:
    - "lattices over eisenstein integers for compute and forward"
    - "structured lattice codes for some two user gaussian networks with cognition coordination and two hops"
    - "multilevel coding schemes for compute and forward with flexible decoding"
    - "connections between construction d and related constructions of lattices"
    - "an algebraic approach to physical layer network coding"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "the approximate sum capacity of the symmetric gaussian k user interference channel"
    - "a simple proof for the existence of good pairs of nested lattices"

Connected through hyperedge HE-7 (induced by source paper "new codes on graphs constructed by connecting spatially coupled chains"):
  with members:
    - "spatially coupled quasi cyclic quantum ldpc codes"
    - "threshold saturation via spatial coupling why convolutional ldpc ensembles perform so well over the bec"
    - "universality for the noisy slepian wolf problem via spatial coupling"
    - "multiple access demodulation in the lifted signal graph with spatial coupling"
    - "coupled graphical models and their thresholds"
    - "bilayer ldpc convolutional codes for half duplex relay channels"
    - "improvement of bp based cdma multiuser detection by spatial coupling"
    - "universal rateless codes from coupled lt codes"

Connected through hyperedge HE-8 (induced by source paper "on the convergence speed of spatially coupled ldpc ensembles"):
  with members:
    - "spatial coupling as a proof technique"
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "wave like solutions of general one dimensional spatially coupled systems"
    - "threshold saturation via spatial coupling why convolutional ldpc ensembles perform so well over the bec"
    - "windowed decoding of spatially coupled codes"
    - "asymptotically regular ldpc codes with linear distance growth and thresholds close to capacity"
    - "terminated ldpc convolutional codes with thresholds close to capacity"

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)