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: "variants of the entropy power inequality"
  Abstract: An extension of the entropy power inequality to the form $N_r^\alpha(X+Y) \geq N_r^\alpha(X) + N_r^\alpha(Y)$ with arbitrary independent summands $X$ and $Y$ in $\mathbb{R}^n$ is obtained for the R\'enyi entropy and powers $\alpha \geq (r+1)/2$.

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"
    - "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 "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"
    - "the concavity of renyi entropy power"
    - "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"
    - "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-4 (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"
    - "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)