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 new entropy power inequality for integer valued random variables"
  Abstract: The entropy power inequality (EPI) provides lower bounds on the differential entropy of the sum of two independent real-valued random variables in terms of the individual entropies. Versions of the EPI for discrete random variables have been obtained for special families of distributions with the differential entropy replaced by the discrete entropy, but no universal inequality is known (beyond trivial ones). More recently, the sumset theory for the entropy function provides a sharp inequality $H(X+X')-H(X)\geq 1/2 -o(1)$ when $X,X'$ are i.i.d. with high entropy. This paper provides the inequality $H(X+X')-H(X) \geq g(H(X))$, where $X,X'$ are arbitrary i.i.d. integer-valued random variables and where $g$ is a universal strictly positive function on $\mR_+$ satisfying $g(0)=0$. Extensions to non identically distributed random variables and to conditional entropies are also obtained.

Connected through hyperedge HE-1 (induced by source paper "an entropy power inequality for discrete random variables"):
  with members:
    - "entropy power inequality for a family of discrete random variables"
    - "monotonicity thinning and discrete versions of the entropy power inequality"

Connected through hyperedge HE-2 (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-3 (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"
    - "the concavity of renyi entropy power"
    - "information theoretic proofs of entropy power inequalities"

Connected through hyperedge HE-4 (induced by source paper "thinning photonic beamsplitting and a general discrete entropy power inequality"):
  with members:
    - "monotonicity thinning and discrete versions of the entropy power inequality"
    - "concavity of entropy under thinning"
    - "monotonic convergence in an information theoretic law of small numbers"
    - "generalized entropy power inequalities and monotonicity properties of information"

Connected through hyperedge HE-5 (induced by source paper "entropies of weighted sums in cyclic groups and an application to polar codes"):
  with members:
    - "degrees of freedom in vector interference channels"
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "unified scaling of polar codes error exponent scaling exponent moderate deviations and error floors"
    - "finite length scaling for polar codes"
    - "sumset and inverse sumset inequalities for differential entropy and mutual information"
    - "entropy and set cardinality inequalities for partition determined functions"
    - "polar codes for q ary channels q 2 r"
    - "monotonicity thinning and discrete versions of the entropy power inequality"

Connected through hyperedge HE-6 (induced by source paper "entropy bounds on abelian groups and the ruzsa divergence"):
  with members:
    - "forward and reverse entropy power inequalities in convex geometry"
    - "degrees of freedom in vector interference channels"
    - "characterizing degrees of freedom through additive combinatorics"
    - "entropies of weighted sums in cyclic groups and an application to polar codes"
    - "beyond the entropy power inequality via rearrangements"
    - "sumset and inverse sumset inequalities for differential entropy and mutual information"
    - "entropy and set cardinality inequalities for partition determined functions"
    - "monotonicity thinning and discrete versions of the entropy power inequality"

Connected through hyperedge HE-7 (induced by source paper "capacity bounds for diamond networks with an orthogonal broadcast channel"):
  with members:
    - "generalization of mrs gerber s lemma"
    - "capacity bounds for a class of diamond networks"
    - "achieving the capacity of the n relay gaussian diamond network within log n bits"
    - "the gaussian multiple access diamond channel"
    - "wireless network information flow a deterministic approach"
    - "the approximate capacity of the gaussian n relay diamond network"
    - "entropy power inequality for a family of discrete random variables"
    - "dependence balance based outer bounds for gaussian networks with cooperation and feedback"

Connected through hyperedge HE-8 (induced by source paper "entropies of weighted sums and applications to polar codes"):
  with members:
    - "entropy bounds on abelian groups and the ruzsa divergence"
    - "entropy and set cardinality inequalities for partition determined functions"
    - "non binary polar codes using reed solomon codes and algebraic geometry codes"
    - "channel polarization a method for constructing capacity achieving codes for symmetric binary input memoryless channels"
    - "information inequalities for joint distributions with interpretations and applications"
    - "on the rate of channel polarization"

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)