Shotgun assembly threshold for lattice labeling model
نویسندگان
چکیده
We study the shotgun assembly problem for lattice labeling model, where i.i.d. uniform labels are assigned to each vertex in a d-dimensional box of side length n. wish recover configuration on whole given empirical profile configurations all boxes r. determine threshold around which there is sharp transition from impossible with probability tending 1, possible an efficient algorithm 1. Our result sharpens constant factor previous work Mossel and Ross (IEEE Trans Netw Sci Eng 6(2):145–157, 2019) thus solves question therein.
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2023
ISSN: ['0178-8051', '1432-2064']
DOI: https://doi.org/10.1007/s00440-023-01199-4