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: "ergodic theory meets polarization ii a foundation of polarization theory"
  Abstract: An open problem in polarization theory is to determine the binary operations that always lead to polarization (in the general multilevel sense) when they are used in Ar{\i}kan style constructions. This paper, which is presented in two parts, solves this problem by providing a necessary and sufficient condition for a binary operation to be polarizing. This (second) part provides a foundation of polarization theory based on the ergodic theory of binary operations which we developed in the first part. We show that a binary operation is polarizing if and only if it is uniformity preserving and its right-inverse is strongly ergodic. The rate of polarization of single user channels is studied. It is shown that the exponent of any polarizing operation cannot exceed $\frac{1}{2}$, which is the exponent of quasigroup operations. We also study the polarization of multiple access channels (MAC). In particular, we show that a sequence of binary operations is MAC-polarizing if and only if each binary operation in the sequence is polarizing. It is shown that the exponent of any MAC-polarizing sequence cannot exceed $\frac{1}{2}$, which is the exponent of sequences of quasigroup operations.

Connected through hyperedge HE-1 (induced by source paper "the fractality of polar and reed muller codes"):
  with members:
    - "relaxed polar codes"
    - "algebraic properties of polar codes from a new polynomial formalism"
    - "alignment of polarized sets"
    - "high girth matrices and polarization"
    - "finite length scaling for polar codes"
    - "a novel partial order for the information sets of polar codes over b dmcs"
    - "polarization of the r enyi information dimension for single and multi terminal analog compression"
    - "how to construct polar codes"

Connected through hyperedge HE-2 (induced by source paper "fourier analysis of mac polarization"):
  with members:
    - "polar codes for arbitrary dmcs and arbitrary macs"
    - "polar codes for the two user multiple access channel"
    - "polar codes for q ary channels q 2 r"
    - "multilevel polarization of polar codes over arbitrary discrete memoryless channels"
    - "polar codes for the m user mac"
    - "channel polarization a method for constructing capacity achieving codes for symmetric binary input memoryless channels"
    - "polarization for arbitrary discrete memoryless channels"
    - "on the rate of channel polarization"

Connected through hyperedge HE-3 (induced by source paper "construction of polar codes for arbitrary discrete memoryless channels"):
  with members:
    - "a comparative study of polar code constructions for the awgn channel"
    - "on the construction of polar codes for channels with moderate input alphabet sizes"
    - "practical polar code construction using generalised generator matrices"
    - "upgraded approximation of non binary alphabets for polar code construction"
    - "channel upgradation for non binary input alphabets and macs"
    - "on the construction and decoding of concatenated polar codes"
    - "universal polar codes"
    - "constructing polar codes using iterative bit channel upgrading"

Connected through hyperedge HE-4 (induced by source paper "a generalized erasure channel in the sense of polarization for binary erasure channels"):
  with members:
    - "polar codes for arbitrary dmcs and arbitrary macs"
    - "source and channel polarization over finite fields and reed solomon matrices"
    - "polar codes for q ary channels q 2 r"
    - "how to construct polar codes"
    - "multilevel polarization of polar codes over arbitrary discrete memoryless channels"
    - "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)