TY - GEN

T1 - Fundamental Limits of Reference-Based Sequence Reordering

AU - Weinberger, Nir

AU - Shomorony, Ilan

N1 - Publisher Copyright:
© 2023 IEEE.

PY - 2023

Y1 - 2023

N2 - The problem of reconstructing a sequence of independent and identically distributed symbols from a set of equal size, consecutive, fragments, as well as a dependent reference sequence is considered. First, in the regime in which the fragments are relatively long, and typically no fragment appears more than once, the scaling of the failure probability of maximum likelihood reconstruction algorithm is exactly determined for perfect reconstruction and bounded for partial reconstruction. Second, the regime in which the fragments are relatively short and repeating fragments abound is characterized. A trade-off is stated between the fraction of fragments that fail to be adequately reconstructed vs. the distortion level allowed for the reconstruction of each fragment, while still allowing vanishing failure probability.

AB - The problem of reconstructing a sequence of independent and identically distributed symbols from a set of equal size, consecutive, fragments, as well as a dependent reference sequence is considered. First, in the regime in which the fragments are relatively long, and typically no fragment appears more than once, the scaling of the failure probability of maximum likelihood reconstruction algorithm is exactly determined for perfect reconstruction and bounded for partial reconstruction. Second, the regime in which the fragments are relatively short and repeating fragments abound is characterized. A trade-off is stated between the fraction of fragments that fail to be adequately reconstructed vs. the distortion level allowed for the reconstruction of each fragment, while still allowing vanishing failure probability.

UR - http://www.scopus.com/inward/record.url?scp=85171424772&partnerID=8YFLogxK

U2 - 10.1109/ISIT54713.2023.10206760

DO - 10.1109/ISIT54713.2023.10206760

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AN - SCOPUS:85171424772

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 1062

EP - 1067

BT - 2023 IEEE International Symposium on Information Theory, ISIT 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2023 IEEE International Symposium on Information Theory, ISIT 2023

Y2 - 25 June 2023 through 30 June 2023

ER -