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: "a strengthened entropy power inequality for log concave densities"
  Abstract: We show that Shannon's entropy--power inequality admits a strengthened version in the case in which the densities are log-concave. In such a case, in fact, one can extend the Blachman--Stam argument to obtain a sharp inequality for the second derivative of Shannon's entropy functional with respect to the heat semigroup.

Connected through hyperedge HE-1 (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"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "data compression with low distortion and finite blocklength"
    - "the entropy per coordinate of a random vector is highly constrained under convexity conditions"

Connected through hyperedge HE-2 (induced by source paper "convexity of mutual information along the heat flow"):
  with members:
    - "convexity of mutual information along the ornstein uhlenbeck flow"
    - "information and estimation in fokker planck channels"
    - "higher order derivatives in costa s entropy power inequality"
    - "mutual information and minimum mean square error in gaussian channels"

Connected through hyperedge HE-3 (induced by source paper "the deficit in an entropic inequality"):
  with members:
    - "wasserstein stability of the entropy power inequality for log concave densities"

Connected through hyperedge HE-4 (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"
    - "the concavity of renyi entropy power"

Connected through hyperedge HE-5 (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"
    - "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"
    - "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-6 (induced by source paper "strengthening the entropy power inequality"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "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"
    - "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"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "beyond the entropy power inequality via rearrangements"
    - "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 "wasserstein stability of the entropy power inequality for log concave densities"):
  with members:
    - "strengthening the entropy power inequality"
    - "entropy jumps for radially symmetric random vectors"
    - "links between the logarithmic sobolev inequality and the convolution inequalities for entropy and fisher information"
    - "yet another proof of the entropy power inequality"

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)