Titlebook: Identification and Other Probabilistic Models; Rudolf Ahlswede’s Le Rudolf Ahlswede,Alexander Ahlswede,Ingo Alth?fer,U Book 2021 Springer N

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Common Randomness in Information Theory and Cryptography CR Capacityby the given model. We determine CR capacity for several models, including those whose statistics depend on unknown parameters. The CR capacity is shown to be achievable robustly, by common randomness of nearly uniform distribution no matter what the unknown parameters are. Our CR capacity results a

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Identification via Channels with Noisy Feedbackmemoryless channel does not change with feedback, we know from and (chapters “Identification via Channels” and “Identification in the Presence of Feedback: A Discovery of New Capacity Formulas”) that the identification capacity is affected by feedback.

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Identification Without RandomizationIn the theory of identification via noisy channels randomization in the encoding has a dramatic effect on the optimal code size, namely, it grows double-exponentially in the blocklength, whereas in the theory of transmission it has the familiar exponential growth.

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Data CompressionFor this section we recall some basic definitions, which are introduced.