Abstract:In the standard trace reconstruction problem, the goal is to exactly reconstruct an unknown source string x ∈ {0, 1} n from independent "traces", which are copies of x that have been corrupted by a δ-deletion channel which independently deletes each bit of x with probability δ and concatenates the surviving bits. We study the approximate trace reconstruction problem, in which the goal is only to obtain a high-accuracy approximation of x rather than an exact reconstruction.We give an efficient algorithm, and a … Show more
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