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 "on product codes with probabilistic amplitude shaping for high throughput fiber optic systems"):
  Abstract: We consider probabilistic amplitude shaping (PAS) as a means of flexibly varying the spectral efficiency of fiber-optic communication systems. Recently, the PAS architecture originally proposed for a coded modulation (CM) scheme with soft decision decoding has been applied to bit-wise hard decision decoding (HDD) of staircase code. In this paper, we apply the PAS to bit-wise HDD based on the product codes (PCs). We show that the PAS with PCs yields significant gains up to approximately 1 bit/channel use with respect to the baseline scheme using PC with uniform signaling. We also show that the performance of PAS with PC is close to that of PAS with staircase codes. Furthermore, we show that by combining our recently proposed soft-assisted decoder for PCs with the PAS architecture, one can achieve even better operating point than that of PAS with staircase codes decoded using conventional bounded distance decoding.

Includes members:
  Member "binary message passing decoding of product codes based on generalized minimum distance decoding":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "binary message passing decoding of product like codes")
  Member "binary message passing decoding of product like codes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "one and two bit message passing for sc ldpc codes with higher order modulation")
  Member "iterative bounded distance decoding of product codes with scaled reliability":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "binary message passing decoding of product like codes")
  Member "on low complexity decoding of product codes for high throughput fiber optic systems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "binary message passing decoding of product like codes")
  Member "energy efficient soft assisted product decoders":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "one and two bit message passing for sc ldpc codes with higher order modulation")
  Member "increasing achievable information rates via geometric shaping":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "introducing enumerative sphere shaping for optical communication systems with short blocklengths")
  Member "achievable rates for probabilistic shaping":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "achievable information rates for probabilistic amplitude shaping a minimum randomness approach via random sign coding arguments")
  Member "miscorrection free decoding of staircase codes":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "improving hd fec decoding via bit marking")

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)