human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "generalized fano type inequality for countably infinite systems with list decoding"):
  Abstract: This study investigates generalized Fano-type inequalities in the following senses: (i) the alphabet $\mathcal{X}$ of a random variable $X$ is countably infinite; (ii) instead of a fixed finite cardinality of $\mathcal{X}$, a fixed $X$-marginal distribution $P_{X}$ is given; (iii) information measures are generalized from the conditional Shannon entropy $H(X \mid Y)$ to a general type of conditional information measures without explicit form; and (iv) the average probability of decoding error is defined on list-decoding settings. As a result, we give tight upper bounds on such generalized conditional information measures for a fixed $X$-marginal, a fixed list size, and a fixed tolerated probability of error. Then, we also clarify a sufficient condition, which the Fano-type inequality is sharp, on the cardinality of the alphabet $\mathcal{Y}$ of a side information $Y$. Resulting Fano-type inequalities can apply to not only the conditional Shannon entropy but also the Arimoto's and Hayashi's conditional R\'{e}nyi entropies, $\alpha$-mutual information, and so on.

Includes members:
  Member "operational interpretation of renyi information measures via composite hypothesis testing against product and markov distributions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the renyi capacity and center")
  Member "asymptotic coupling and its applications in information theory":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "simulation of random variables under r enyi divergence measures of all orders")
  Member "a proof of the strong converse theorem for gaussian multiple access channels":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "gaussian multiple and random access in the finite blocklength regime")
  Member "concentration of measure inequalities in information theory communications and coding second edition":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on data processing and majorization inequalities for f divergences with applications")
  Member "renyi divergence and kullback leibler divergence":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "review analyze and design a comprehensive deep reinforcement learning framework")
  Member "some properties of renyi entropy over countably infinite alphabets":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on the entropy of couplings")
  Member "entropy bounds for discrete random variables via maximal coupling":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "minimum entropy couplings and their applications")
  Member "exponential decreasing rate of leaked information in universal random privacy amplification":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "communication for generating correlation a unifying survey")

Question: Please tell me which class the source paper 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)