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: "forward and reverse entropy power inequalities in convex geometry"
  Abstract: The entropy power inequality, which plays a fundamental role in information theory and probability, may be seen as an analogue of the Brunn-Minkowski inequality. Motivated by this connection to Convex Geometry, we survey various recent developments on forward and reverse entropy power inequalities not just for the Shannon-Boltzmann entropy but also more generally for Renyi entropy. In the process, we discuss connections between the so-called functional (or integral) and probabilistic (or entropic) analogues of some classical inequalities in geometric functional analysis.

Connected through hyperedge HE-1 (induced by source paper "transportation proofs of r enyi entropy power inequalities"):
  with members:
    - "optimal transportation to the entropy power inequality"
    - "on renyi entropy power inequalities"
    - "two measures of dependence"
    - "yet another proof of the entropy power inequality"
    - "variants of the entropy power inequality"
    - "renyi divergence and kullback leibler divergence"
    - "the concavity of renyi entropy power"
    - "information theoretic proofs of entropy power inequalities"

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"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "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 "remarks on the r e nyi entropy of a sum of iid random variables"):
  with members:
    - "on renyi entropy power inequalities"
    - "beyond the entropy power inequality via rearrangements"
    - "information theoretic proofs of entropy power inequalities"

Connected through hyperedge HE-4 (induced by source paper "a lower bound on the differential entropy of log concave random vectors with applications"):
  with members:
    - "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"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "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-5 (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"
    - "on the entropy power inequality for the r enyi entropy of order 0 1"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "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-6 (induced by source paper "r enyi entropy power inequalities via normal transport and rotation"):
  with members:
    - "optimal transportation to the entropy power inequality"
    - "on renyi entropy power inequalities"
    - "yet another proof of the entropy power inequality"
    - "variants of the entropy power inequality"
    - "the concavity of renyi entropy power"
    - "information theoretic proofs of entropy power inequalities"

Connected through hyperedge HE-7 (induced by source paper "error bounds on a mixed entropy inequality"):
  with members:
    - "the deficit in an entropic inequality"
    - "estimating mixture entropy with pairwise distances"
    - "beyond the entropy power inequality via rearrangements"

Connected through hyperedge HE-8 (induced by source paper "on the entropy power inequality for the r enyi entropy of order 0 1"):
  with members:
    - "a lower bound on the differential entropy of log concave random vectors with applications"
    - "wasserstein stability of the entropy power inequality for log concave densities"
    - "on renyi entropy power inequalities"
    - "variants of the entropy power inequality"
    - "a concavity property for the reciprocal of fisher information and its consequences on costa s epi"
    - "a strengthened entropy power inequality for log concave densities"
    - "the entropy per coordinate of a random vector is highly constrained under convexity conditions"
    - "generalized entropy power inequalities and monotonicity properties of information"

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)