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: "on renyi entropy power inequalities"
  Abstract: This paper gives improved R\'{e}nyi entropy power inequalities (R-EPIs). Consider a sum $S_n = \sum_{k=1}^n X_k$ of $n$ independent continuous random vectors taking values on $\mathbb{R}^d$, and let $\alpha \in [1, \infty]$. An R-EPI provides a lower bound on the order-$\alpha$ R\'enyi entropy power of $S_n$ that, up to a multiplicative constant (which may depend in general on $n, \alpha, d$), is equal to the sum of the order-$\alpha$ R\'enyi entropy powers of the $n$ random vectors $\{X_k\}_{k=1}^n$. For $\alpha=1$, the R-EPI coincides with the well-known entropy power inequality by Shannon. The first improved R-EPI is obtained by tightening the recent R-EPI by Bobkov and Chistyakov which relies on the sharpened Young's inequality. A further improvement of the R-EPI also relies on convex optimization and results on rank-one modification of a real-valued diagonal matrix.

Connected through hyperedge HE-1 (induced by source paper "the renyi capacity and center"):
  with members:
    - "a strong converse bound for multiple hypothesis testing with applications to high dimensional estimation"
    - "the sphere packing bound for memoryless channels"
    - "operational interpretation of renyi information measures via composite hypothesis testing against product and markov distributions"
    - "the sphere packing bound for dspcs with feedback a la augustin"
    - "the augustin capacity and center"
    - "the augustin center and the sphere packing bound for memoryless channels"
    - "analysis of remaining uncertainties and exponents under various conditional r e nyi entropies"
    - "strong converse theorems for classes of multimessage multicast networks a renyi divergence approach"

Connected through hyperedge HE-2 (induced by source paper "transportation proofs of r enyi entropy power inequalities"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "optimal transportation to the entropy power inequality"
    - "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-3 (induced by source paper "remarks on the r e nyi entropy of a sum of iid random variables"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "beyond the entropy power inequality via rearrangements"
    - "information theoretic proofs of entropy power inequalities"

Connected through hyperedge HE-4 (induced by source paper "r enyi entropy power inequalities via normal transport and rotation"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "optimal transportation to the entropy power inequality"
    - "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-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"
    - "strengthening the entropy power inequality"
    - "variants of the entropy power inequality"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "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 "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"
    - "forward and reverse entropy power inequalities in convex geometry"
    - "wasserstein stability of the entropy power inequality for log concave densities"
    - "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"

Connected through hyperedge HE-7 (induced by source paper "variants of the entropy power inequality"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "on the entropy power inequality for the r enyi entropy of order 0 1"
    - "strengthening the entropy power inequality"
    - "beyond the entropy power inequality via rearrangements"
    - "the concavity of renyi entropy power"
    - "an information theoretic proof of nash s inequality"
    - "information theoretic proofs of entropy power inequalities"
    - "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)