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: "strong data processing inequalities and phi sobolev inequalities for discrete channels"
  Abstract: The noisiness of a channel can be measured by comparing suitable functionals of the input and output distributions. For instance, the worst-case ratio of output relative entropy to input relative entropy for all possible pairs of input distributions is bounded from above by unity, by the data processing theorem. However, for a fixed reference input distribution, this quantity may be strictly smaller than one, giving so-called strong data processing inequalities (SDPIs). The same considerations apply to an arbitrary $\Phi$-divergence. This paper presents a systematic study of optimal constants in SDPIs for discrete channels, including their variational characterizations, upper and lower bounds, structural results for channels on product probability spaces, and the relationship between SDPIs and so-called $\Phi$-Sobolev inequalities (another class of inequalities that can be used to quantify the noisiness of a channel by controlling entropy-like functionals of the input distribution by suitable measures of input-output correlation). Several applications to information theory, discrete probability, and statistical physics are discussed.

Connected through hyperedge HE-1 (induced by source paper "on data processing and majorization inequalities for f divergences with applications"):
  with members:
    - "minimum entropy couplings and their applications"
    - "on f divergences integral representations local behavior and inequalities"
    - "comparison of channels criteria for domination by a symmetric channel"
    - "strong data processing inequalities for channels and bayesian networks"
    - "bounds on the entropy of a function of a random variable and their applications"
    - "f divergence inequalities"
    - "e_ gamma resolvability"
    - "bounds between contraction coefficients"

Connected through hyperedge HE-2 (induced by source paper "privacy amplification by mixing and diffusion mechanisms"):
  with members:
    - "the privacy blanket of the shuffle model"
    - "amplification by shuffling from local to central differential privacy via anonymity"
    - "privacy amplification by subsampling tight analyses via couplings and divergences"
    - "subsampled r enyi differential privacy and analytical moments accountant"
    - "privacy amplification by iteration"
    - "distributed differential privacy via shuffling"
    - "differentially private release and learning of threshold functions"
    - "characterizing the sample complexity of private learners"

Connected through hyperedge HE-3 (induced by source paper "bounds on the average distance and distance enumerator with applications to non interactive simulation"):
  with members:
    - "second order converses via reverse hypercontractivity"
    - "dictator functions maximize mutual information"
    - "on non interactive simulation of joint distributions"
    - "analysis of boolean functions"
    - "lower bounds on the minimum average distance of binary codes"

Connected through hyperedge HE-4 (induced by source paper "on the robustness of information theoretic privacy measures and mechanisms"):
  with members:
    - "data disclosure under perfect sample privacy"
    - "privacy against brute force inference attacks"
    - "estimation efficiency under privacy constraints"
    - "data privacy for a rho recoverable function"
    - "an operational approach to information leakage"
    - "the utility cost of robust privacy guarantees"
    - "privacy under hard distortion constraints"
    - "a tunable measure for information leakage"

Connected through hyperedge HE-5 (induced by source paper "privacy with estimation guarantees"):
  with members:
    - "the utility cost of robust privacy guarantees"
    - "generalizing bottleneck problems"
    - "matching anonymized and obfuscated time series to users profiles"
    - "privacy preserving adversarial networks"
    - "renyi differential privacy"
    - "principal inertia components and applications"
    - "hypothesis testing under maximal leakage privacy constraints"
    - "an estimation theoretic view of privacy"

Connected through hyperedge HE-6 (induced by source paper "locally private gaussian estimation"):
  with members:
    - "blender enabling local search with a hybrid differential privacy model"
    - "the role of interactivity in local differential privacy"
    - "learning without interaction requires separation"
    - "differentially private hierarchical group size estimation"
    - "privately learning high dimensional distributions"
    - "differentially private hierarchical count of counts histograms"
    - "test without trust optimal locally private distribution testing"
    - "tight lower bounds for locally differentially private selection"

Connected through hyperedge HE-7 (induced by source paper "a correlation measure based on vector valued l_p norms"):
  with members:
    - "exact exponent for soft covering"
    - "exact soft covering exponent"
    - "generalizing bottleneck problems"
    - "measuring secrecy by the probability of a successful guess"
    - "r enyi resolvability and its applications to the wiretap channel"
    - "exact random coding secrecy exponents for the wiretap channel"
    - "a large deviations approach to secure lossy compression"
    - "f divergence inequalities"

Connected through hyperedge HE-8 (induced by source paper "guessing with a bit of help"):
  with members:
    - "reducing guesswork via an unreliable oracle"
    - "on the optimal boolean function for prediction under quadratic loss"
    - "password cracking the effect of hash function bias on the average guesswork"
    - "on the entropy of a noisy function"
    - "remarks on the most informative function conjecture at fixed mean"
    - "multi user guesswork and brute force security"
    - "an improved upper bound for the most informative boolean function conjecture"
    - "analysis of boolean functions"

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)