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: "general strong polarization"
  Abstract: Ar\i kan's exciting discovery of polar codes has provided an altogether new way to efficiently achieve Shannon capacity. Given a (constant-sized) invertible matrix $M$, a family of polar codes can be associated with this matrix and its ability to approach capacity follows from the $\textit{polarization}$ of an associated $[0,1]$-bounded martingale, namely its convergence in the limit to either $0$ or $1$ with probability $1$. Ar\i kan showed appropriate polarization of the martingale associated with the matrix $G_2 = \left( \begin{smallmatrix} 1 & 0 1 & 1 \end{smallmatrix} \right)$ to get capacity achieving codes. His analysis was later extended to all matrices $M$ which satisfy an obvious necessary condition for polarization. #R##N#While Ar\i kan's theorem does not guarantee that the codes achieve capacity at small blocklengths, it turns out that a "strong" analysis of the polarization of the underlying martingale would lead to such constructions. Indeed for the martingale associated with $G_2$ such a strong polarization was shown in two independent works ([Guruswami and Xia, IEEE IT '15] and [Hassani et al., IEEE IT '14]), thereby resolving a major theoretical challenge associated with the efficient attainment of Shannon capacity. #R##N#In this work we extend the result above to cover martingales associated with all matrices that satisfy the necessary condition for (weak) polarization. In addition to being vastly more general, our proofs of strong polarization are (in our view) also much simpler and modular. Key to our proof is a notion of $\textit{local polarization}$ that only depends on the evolution of the martingale in a single time step. Our result shows strong polarization over all prime fields and leads to efficient capacity-achieving source codes for compressing arbitrary i.i.d. sources, and capacity-achieving channel codes for arbitrary symmetric memoryless channels.

Connected through hyperedge HE-1 (induced by source paper "reed muller codes theory and algorithms"):
  with members:
    - "reed muller codes polarize"
    - "recursive projection aggregation decoding of reed muller codes"
    - "on the performance of reed muller codes with respect to random errors and erasures"
    - "decoding reed muller codes using minimum weight parity checks"
    - "on the bias of reed muller codes over odd prime fields"
    - "almost optimal scaling of reed muller codes on bec and bsc channels"
    - "soft decision decoding of reed muller codes recursive lists"
    - "syndrome decoding of reed muller codes and tensor decomposition over finite fields"

Connected through hyperedge HE-2 (induced by source paper "reed muller codes polarize"):
  with members:
    - "recursive projection aggregation decoding of reed muller codes"
    - "on the performance of reed muller codes with respect to random errors and erasures"
    - "decoding reed muller codes using minimum weight parity checks"
    - "almost optimal scaling of reed muller codes on bec and bsc channels"
    - "recursive decoding and its performance for low rate reed muller codes"
    - "algebraic properties of polar codes from a new polynomial formalism"
    - "high girth matrices and polarization"
    - "reed muller codes achieve capacity on erasure channels"

Connected through hyperedge HE-3 (induced by source paper "optimally resilient codes for list decoding from insertions and deletions"):
  with members:
    - "list decoding of insertion and deletion codes"
    - "explicit constructions of two dimensional reed solomon codes in high insertion and deletion noise regime"
    - "near linear time insertion deletion codes and 1 e approximating edit distance via indexing"
    - "on the list decodability of insertions and deletions"
    - "synchronization strings list decoding for insertions and deletions"
    - "deterministic document exchange protocols and almost optimal binary codes for edit errors"
    - "optimal document exchange and new codes for insertions and deletions"
    - "block edit errors with transpositions deterministic document exchange protocols and almost optimal binary codes"

Connected through hyperedge HE-4 (induced by source paper "log logarithmic time pruned polar coding"):
  with members:
    - "polar like codes and asymptotic tradeoff among block length code rate and error probability"
    - "polar codes with exponentially small error at finite block length"
    - "polar code moderate deviation recovering the scaling exponent"
    - "scaling exponent and moderate deviations asymptotics of polar codes for the awgn channel"
    - "relaxed polar codes"
    - "flexible length polar codes through graph based augmentation"
    - "a packing lemma for polar codes"
    - "unified scaling of polar codes error exponent scaling exponent moderate deviations and error floors"

Connected through hyperedge HE-5 (induced by source paper "ar i kan meets shannon polar codes with near optimal convergence to channel capacity"):
  with members:
    - "explicit polar codes with small scaling exponent"
    - "binary linear codes with optimal scaling and quasi linear complexity"
    - "multi kernel polar codes proof of polarization and error exponents"
    - "near optimal finite length scaling for polar codes over large alphabets"
    - "multi kernel construction of polar codes"
    - "unified scaling of polar codes error exponent scaling exponent moderate deviations and error floors"
    - "finite length scaling for polar codes"
    - "polar codes speed of polarization and polynomial gap to capacity"

Connected through hyperedge HE-6 (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"
    - "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"
    - "a generalized erasure channel in the sense of polarization for binary erasure channels"
    - "polar coding for non stationary channels"
    - "entropy bounds on abelian groups and the ruzsa divergence"

Connected through hyperedge HE-7 (induced by source paper "channel polarization through the lens of blackwell measures"):
  with members:
    - "polar codes for broadcast channels"
    - "varentropy decreases under the polar transform"
    - "finite length scaling for polar codes"
    - "re proving channel polarization theorems an extremality and robustness analysis"
    - "polar codes speed of polarization and polynomial gap to capacity"
    - "polar codes for the two user multiple access channel"
    - "on the construction of polar codes"
    - "polar codes for q ary channels q 2 r"

Connected through hyperedge HE-8 (induced by source paper "polar code moderate deviation recovering the scaling exponent"):
  with members:
    - "near optimal finite length scaling for polar codes over large alphabets"
    - "finite length scaling for polar codes"
    - "polar codes speed of polarization and polynomial gap to capacity"
    - "improved bounds on the finite length scaling of polar codes"
    - "on the correlation between polarized becs"
    - "scaling exponent of list decoders with applications to polar codes"
    - "rate dependent analysis of the asymptotic behavior of channel polarization"
    - "polar codes characterization of exponent bounds and constructions"

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)