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: "entropy bounds on abelian groups and the ruzsa divergence"
  Abstract: Over the past few years, a family of interesting new inequalities for the entropies of sums and differences of random variables has been developed by Ruzsa, Tao and others, motivated by analogous results in additive combinatorics. The present work extends these earlier results to the case of random variables taking values in $\mathbb{R}^n$ or, more generally, in arbitrary locally compact and Polish abelian groups. We isolate and study a key quantity, the Ruzsa divergence between two probability distributions, and we show that its properties can be used to extend the earlier inequalities to the present general setting. The new results established include several variations on the theme that the entropies of the sum and the difference of two independent random variables severely constrain each other. Although the setting is quite general, the result are already of interest (and new) for random vectors in $\mathbb{R}^n$. In that special case, quantitative bounds are provided for the stability of the equality conditions in the entropy power inequality; a reverse entropy power inequality for log-concave random vectors is proved; an information-theoretic analog of the Rogers-Shephard inequality for convex bodies is established; and it is observed that some of these results lead to new inequalities for the determinants of positive-definite matrices. Moreover, by considering the multiplicative subgroups of the complex plane, one obtains new inequalities for the differential entropies of products and ratios of nonzero, complex-valued random variables.

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"
    - "a generalized erasure channel in the sense of polarization for binary erasure channels"
    - "polar coding for non stationary channels"

Connected through hyperedge HE-2 (induced by source paper "two remarks on generalized entropy power inequalities"):
  with members:
    - "an entropy inequality for symmetric random variables"
    - "forward and reverse entropy power inequalities in convex geometry"
    - "beyond the entropy power inequality via rearrangements"
    - "sumset and inverse sumset inequalities for differential entropy and mutual information"
    - "generalized entropy power inequalities and monotonicity properties of information"

Connected through hyperedge HE-3 (induced by source paper "a lower bound on the differential entropy of log concave random vectors with applications"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "wasserstein stability of the entropy power inequality for log concave densities"
    - "the shannon lower bound is asymptotically tight"
    - "links between the logarithmic sobolev inequality and the convolution inequalities for entropy and fisher information"
    - "a concavity property for the reciprocal of fisher information and its consequences on costa s epi"
    - "data compression with low distortion and finite blocklength"
    - "a strengthened entropy power inequality for log concave densities"
    - "the entropy per coordinate of a random vector is highly constrained under convexity conditions"

Connected through hyperedge HE-4 (induced by source paper "sharp moment entropy inequalities and capacity bounds for log concave distributions"):
  with members:
    - "two remarks on generalized entropy power inequalities"
    - "bounds on variance for unimodal distributions"
    - "forward and reverse entropy power inequalities in convex geometry"
    - "on the entropy power inequality for the r enyi entropy of order 0 1"
    - "minimization problems based on relative alpha entropy i forward projection"
    - "the entropy per coordinate of a random vector is highly constrained under convexity conditions"

Connected through hyperedge HE-5 (induced by source paper "forward and reverse entropy power inequalities in convex geometry"):
  with members:
    - "wasserstein stability of the entropy power inequality for log concave densities"
    - "on renyi entropy power inequalities"
    - "strengthening the entropy power inequality"
    - "variants of the entropy power inequality"
    - "entropies of weighted sums in cyclic groups and an application to polar codes"
    - "beyond the entropy power inequality via rearrangements"
    - "a strengthened entropy power inequality for log concave densities"
    - "the concavity of renyi entropy power"

Connected through hyperedge HE-6 (induced by source paper "strengthening the entropy power inequality"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "wasserstein continuity of entropy and outer bounds for interference channels"
    - "justification of logarithmic loss via the benefit of side information"
    - "dissipation of information in channels with input constraints"
    - "an extremal inequality for long markov chains"
    - "a strengthened entropy power inequality for log concave densities"
    - "strong data processing inequalities and phi sobolev inequalities for discrete channels"
    - "sumset and inverse sumset inequalities for differential entropy and mutual information"

Connected through hyperedge HE-7 (induced by source paper "on renyi entropy power inequalities"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "strengthening the entropy power inequality"
    - "beyond the entropy power inequality via rearrangements"
    - "a strengthened entropy power inequality for log concave densities"
    - "renyi divergence and kullback leibler divergence"
    - "the concavity of renyi entropy power"
    - "a new entropy power inequality for integer valued random variables"
    - "information theoretic proofs of entropy power inequalities"

Connected through hyperedge HE-8 (induced by source paper "equivalence of additive combinatorial linear inequalities for shannon entropy and differential entropy"):
  with members:
    - "on additive combinatorial affine inequalities for shannon entropy and differential entropy"
    - "dissipation of information in channels with input constraints"
    - "sumset and inverse sumset inequalities for differential entropy and mutual information"
    - "entropy and set cardinality inequalities for partition determined functions"

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)