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 generalized erasure channel in the sense of polarization for binary erasure channels"
  Abstract: The polar transformation of a binary erasure channel (BEC) can be exactly approximated by other BECs. Arikan proposed that polar codes for a BEC can be efficiently constructed by using its useful property. This study proposes a new class of arbitrary input generalized erasure channels, which can be exactly approximated the polar transformation by other same channel models, as with the BEC. One of the main results is the recursive formulas of the polar transformation of the proposed channel. In the study, we evaluate the polar transformation by using the α-mutual information. Particularly, when the input alphabet size is a prime power, we examines the following: (i) inequalities for the average of the α-mutual information of the proposed channel after the one-step polar transformation, and (ii) the exact proportion of polarizations of the α-mutual information of proposed channels in infinite number of polar transformations.

Connected through hyperedge HE-1 (induced by source paper "countably infinite multilevel source polarization for non stationary erasure distributions"):
  with members:
    - "asymptotic distribution of multilevel channel polarization for a certain class of erasure channels"
    - "on the polarization levels of automorphic symmetric channels"
    - "general strong polarization"
    - "fano type inequalities based on general conditional information measures over countably infinite alphabets with list decoding"
    - "modular arithmetic erasure channels and their multilevel channel polarization"
    - "fourier analysis of mac polarization"
    - "polar coding for non stationary channels"
    - "entropy bounds on abelian groups and the ruzsa divergence"

Connected through hyperedge HE-2 (induced by source paper "modular arithmetic erasure channels and their multilevel channel polarization"):
  with members:
    - "fourier analysis of mac polarization"
    - "construction of polar codes for arbitrary discrete memoryless channels"
    - "entropies of weighted sums in cyclic groups and an application to polar codes"
    - "polar codes for the two user multiple access channel"
    - "polar codes for q ary channels q 2 r"
    - "how to construct polar codes"
    - "channel polarization a method for constructing capacity achieving codes for symmetric binary input memoryless channels"
    - "polarization for arbitrary discrete memoryless channels"

Connected through hyperedge HE-3 (induced by source paper "asymptotic distribution of multilevel channel polarization for a certain class of erasure channels"):
  with members:
    - "modular arithmetic erasure channels and their multilevel channel polarization"
    - "source and channel polarization over finite fields and reed solomon matrices"
    - "polar codes for q ary channels q 2 r"
    - "channel polarization a method for constructing capacity achieving codes for symmetric binary input memoryless channels"
    - "polarization for arbitrary discrete memoryless channels"

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)