Minimum Number of Input Clues in Robust Information Retrieval

Information retrieval in associative memories was considered recently by Yaakobi and Bruck. In their model, a stored information unit is retrieved using input clues. In this paper, we study the problem where at most s (s ≥ 0) of the received input clues can be false and we still want to determine the sought information unit uniquely. We use a coding theoretical approach to estimate the maximum number of stored information units with respect to a given s. Moreover, optimal results for the problem are given, for example, in the infinite king grid. We also discuss the problem in the class of line graphs where a characterization and a connection to k-factors is given.

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Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).