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: "the concavity of renyi entropy power"
  Abstract: We associate to the pth Renyi entropy a definition of entropy power, which is the natural extension of Shannon's entropy power and exhibits a nice behavior along solutions to the p-nonlinear heat equation in Rn. We show that the Renyi entropy power of general probability densities solving such equations is always a concave function of time, whereas it has a linear behavior in correspondence to the Barenblatt source-type solutions. This result extends Costa's concavity inequality for Shannon's entropy power to Renyi entropies.

Connected through hyperedge HE-1 (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"
    - "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"
    - "information theoretic proofs of entropy power inequalities"

Connected through hyperedge HE-2 (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"
    - "on renyi entropy power inequalities"
    - "yet another proof of the entropy power inequality"
    - "variants of the entropy power inequality"
    - "information theoretic proofs of entropy power inequalities"

Connected through hyperedge HE-3 (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"
    - "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"

Connected through hyperedge HE-4 (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"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "beyond the entropy power inequality via rearrangements"
    - "a strengthened entropy power inequality for log concave densities"
    - "renyi divergence and kullback leibler divergence"
    - "a new entropy power inequality for integer valued random variables"
    - "information theoretic proofs of entropy power inequalities"

Connected through hyperedge HE-5 (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"
    - "on renyi entropy power inequalities"
    - "strengthening the entropy power inequality"
    - "beyond the entropy power inequality via rearrangements"
    - "an information theoretic proof of nash s inequality"
    - "information theoretic proofs of entropy power inequalities"
    - "generalized entropy power inequalities and monotonicity properties of information"

Connected through hyperedge HE-6 (induced by source paper "a concavity property for the reciprocal of fisher information and its consequences on costa s epi"):
  with members:
    - "a strengthened entropy power inequality for log concave densities"
    - "higher order derivatives in costa s entropy power inequality"
    - "an information theoretic proof of nash s inequality"
    - "information theoretic proofs of entropy power inequalities"
    - "mutual information and minimum mean square error in gaussian channels"

Connected through hyperedge HE-7 (induced by source paper "a strengthened entropy power inequality for log concave densities"):
  with members:
    - "beyond the entropy power inequality via rearrangements"
    - "an information theoretic proof of nash s inequality"
    - "a simple proof of the entropy power inequality via properties of mutual information"
    - "generalized entropy power inequalities and monotonicity properties of information"
    - "mutual information and minimum mean square error in gaussian channels"

Connected through hyperedge HE-8 (induced by source paper "beyond the entropy power inequality via rearrangements"):
  with members:
    - "renyi divergence and kullback leibler divergence"
    - "an information theoretic proof of nash s inequality"
    - "the entropy per coordinate of a random vector is highly constrained under convexity conditions"
    - "paging and registration in cellular networks jointly optimal policies and an iterative algorithm"

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)