Guessing Based on Compressed Side Information

A source sequence is to be guessed with some fidelity based on a rate-limited description of an observed sequence with which it is correlated. The tension between the description rate and the exponential growth rate of the power mean of the required number of guesses is quantified. This can be viewe...

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Veröffentlicht in:IEEE transactions on information theory 2022-07, Vol.68 (7), p.4244-4256
Hauptverfasser: Graczyk, Robert, Lapidoth, Amos, Merhav, Neri, Pfister, Christoph
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Lapidoth, Amos
Merhav, Neri
Pfister, Christoph
description A source sequence is to be guessed with some fidelity based on a rate-limited description of an observed sequence with which it is correlated. The tension between the description rate and the exponential growth rate of the power mean of the required number of guesses is quantified. This can be viewed as the guessing version of the classical indirect-rate-distortion problem of Dobrushin-Tsybakov'62 and Witsenhausen'80. Judicious choices of the correlated sequence, the description rate, and the fidelity criterion recover a number of recent and classical results on guessing. In the context of security, the paper provides conservative estimates on a password's remaining security after a number of bits from a correlated database have been leaked.
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subjects Accuracy
Compression
Correlation
Distortion
Entropy
guessing
helper
Information processing
Passwords
Rate-distortion
remote helper
Remote sensing
Security
side information
title Guessing Based on Compressed Side Information
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