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: "information inequalities for joint distributions with interpretations and applications"
  Abstract: Upper and lower bounds are obtained for the joint entropy of a collection of random variables in terms of an arbitrary collection of subset joint entropies. These inequalities generalize Shannon's chain rule for entropy as well as inequalities of Han, Fujishige and Shearer. A duality between the upper and lower bounds for joint entropy is developed. All of these results are shown to be special cases of general, new results for submodular functions-- thus, the inequalities presented constitute a richly structured class of Shannon-type inequalities. The new inequalities are applied to obtain new results in combinatorics, such as bounds on the number of independent sets in an arbitrary graph and the number of zero-error source-channel codes, as well as new determinantal inequalities in matrix theory. A new inequality for relative entropies is also developed, along with interpretations in terms of hypothesis testing. Finally, revealing connections of the results to literature in economics, computer science, and physics are explored.

Connected through hyperedge HE-1 (induced by source paper "dual loomis whitney inequalities via information theory"):
  with members:
    - "intrinsic entropies of log concave distributions"
    - "f divergence inequalities"
    - "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-2 (induced by source paper "secret key capacity for multipleaccess channel with public feedback"):
  with members:
    - "how many queries will resolve common randomness"

Connected through hyperedge HE-3 (induced by source paper "the explicit coding rate region of symmetric multilevel diversity coding"):
  with members:
    - "distributed multilevel diversity coding"
    - "multilevel diversity coding with regeneration"
    - "symmetrical multilevel diversity coding and subset entropy inequalities"
    - "multilevel diversity coding systems rate regions codes computation forbidden minors"
    - "secure symmetrical multilevel diversity coding"
    - "asymmetric multilevel diversity coding and asymmetric gaussian multiple descriptions"
    - "approximating the gaussian multiple description rate region under symmetric distortion constraints"

Connected through hyperedge HE-4 (induced by source paper "an entropy inequality for symmetric random variables"):
  with members:
    - "a counterexample to the vector generalization of costa s epi and partial resolution"
    - "strengthening the entropy power inequality"
    - "entropy jumps for radially symmetric random vectors"
    - "monotonicity of entropy and fisher information a quick proof via maximal correlation"
    - "beyond the entropy power inequality via rearrangements"
    - "information theoretic proofs of entropy power inequalities"
    - "generalized entropy power inequalities and monotonicity properties of information"

Connected through hyperedge HE-5 (induced by source paper "novel impossibility results for group testing"):
  with members:
    - "individual testing is optimal for nonadaptive group testing in the linear regime"
    - "improved group testing rates with constant column weight designs"
    - "nonadaptive group testing with random set of defectives"
    - "non adaptive group testing explicit bounds and novel algorithms"
    - "approximate sparsity pattern recovery information theoretic lower bounds"

Connected through hyperedge HE-6 (induced by source paper "information theoretic perspectives on brascamp lieb inequality and its reverse"):
  with members:
    - "arimoto r enyi conditional entropy and bayesian m ary hypothesis testing"
    - "strengthening the entropy power inequality"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "brascamp lieb inequality and its reverse an information theoretic view"
    - "converses for distributed estimation via strong data processing inequalities"
    - "secret key generation with one communicator and a one shot converse via hypercontractivity"
    - "on non interactive simulation of joint distributions"
    - "a note on the strong data processing inequalities in bayesian networks"

Connected through hyperedge HE-7 (induced by source paper "on the optimality of secret key agreement via omniscience"):
  with members:
    - "secret key agreement under discussion rate constraints"
    - "compressed secret key agreement maximizing multivariate mutual information per bit"
    - "bounds on the communication rate needed to achieve sk capacity in the hypergraphical source model"
    - "duality between feature selection and data clustering"
    - "info clustering a mathematical theory for data clustering"
    - "incremental and decremental secret key agreement"
    - "on the public communication needed to achieve sk capacity in the multiterminal source model"
    - "the communication complexity of achieving sk capacity in a class of pin models"

Connected through hyperedge HE-8 (induced by source paper "on the public communication needed to achieve sk capacity in the multiterminal source model"):
  with members:
    - "information complexity is computable"
    - "secret key generation with one communicator and a one shot converse via hypercontractivity"
    - "the communication complexity of achieving sk capacity in a class of pin models"
    - "achieving sk capacity in the source model when must all terminals talk"
    - "coded cooperative data exchange for a secret key"
    - "on the communication complexity of secret key generation in the multiterminal source model"
    - "wyner s common information generalizations and a new lossy source coding interpretation"
    - "outer bounds for multiterminal source coding via a strong data processing 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)