TY - GEN

T1 - Guessing with limited memory

AU - Huleihel, Wasim

AU - Salamatian, Salman

AU - Medard, Muriel

N1 - Publisher Copyright:
© 2017 IEEE.

PY - 2017/8/9

Y1 - 2017/8/9

N2 - Suppose that we wish to guess the realization x of a discrete random variable X taking values in a finite set, by asking sequential questions of the form 'Is X is equal to x?' exhausting the elements of X until the answer is Yes. [1, 2]. If the distribution of X is known to the guesser, and the guesser has memory of his previous has memory of his previous queries then the best strategy is to guess in decreasing order of probabilities. In this paper, we consider the problem of a memoryless guesser, namely, each new guess is independent of the previous guesses. We consider also the scenario of a guesser with a bounded number of guesses. For both cases we derive the optimal guessing strategies, and show new connections to Rényi entropy.

AB - Suppose that we wish to guess the realization x of a discrete random variable X taking values in a finite set, by asking sequential questions of the form 'Is X is equal to x?' exhausting the elements of X until the answer is Yes. [1, 2]. If the distribution of X is known to the guesser, and the guesser has memory of his previous has memory of his previous queries then the best strategy is to guess in decreasing order of probabilities. In this paper, we consider the problem of a memoryless guesser, namely, each new guess is independent of the previous guesses. We consider also the scenario of a guesser with a bounded number of guesses. For both cases we derive the optimal guessing strategies, and show new connections to Rényi entropy.

UR - http://www.scopus.com/inward/record.url?scp=85034109638&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2017.8006930

DO - 10.1109/ISIT.2017.8006930

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AN - SCOPUS:85034109638

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 2253

EP - 2257

BT - 2017 IEEE International Symposium on Information Theory, ISIT 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 IEEE International Symposium on Information Theory, ISIT 2017

Y2 - 25 June 2017 through 30 June 2017

ER -