Matches in SemOpenAlex for { <https://semopenalex.org/work/W4289709205> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W4289709205 abstract "In the trace reconstruction problem, an unknown bit string ${bf x}in{0,1 }^n$ is sent through a deletion channel where each bit is deleted independently with some probability $qin(0,1)$, yielding a contracted string $widetilde{bf x}$. How many i.i.d. samples of $widetilde{bf x}$ are needed to reconstruct $bf x$ with high probability? We prove that there exist ${bf x},{bf y} in{0,1 }^n$ such that at least $c, n^{5/4}/sqrt{log n}$ traces are required to distinguish between ${bf x}$ and ${bf y}$ for some absolute constant $c$, improving the previous lower bound of $c,n$. Furthermore, our result improves the previously known lower bound for reconstruction of random strings from $c log^2 n$ to $c log^{9/4}n/sqrt{log log n} $." @default.
- W4289709205 created "2022-08-04" @default.
- W4289709205 creator A5034106138 @default.
- W4289709205 creator A5091396290 @default.
- W4289709205 date "2018-08-04" @default.
- W4289709205 modified "2023-10-14" @default.
- W4289709205 title "Lower bounds for trace reconstruction" @default.
- W4289709205 doi "https://doi.org/10.48550/arxiv.1808.02336" @default.
- W4289709205 hasPublicationYear "2018" @default.
- W4289709205 type Work @default.
- W4289709205 citedByCount "0" @default.
- W4289709205 crossrefType "posted-content" @default.
- W4289709205 hasAuthorship W4289709205A5034106138 @default.
- W4289709205 hasAuthorship W4289709205A5091396290 @default.
- W4289709205 hasBestOaLocation W42897092051 @default.
- W4289709205 hasConcept C114614502 @default.
- W4289709205 hasConcept C134306372 @default.
- W4289709205 hasConcept C138885662 @default.
- W4289709205 hasConcept C157486923 @default.
- W4289709205 hasConcept C199360897 @default.
- W4289709205 hasConcept C2777027219 @default.
- W4289709205 hasConcept C33923547 @default.
- W4289709205 hasConcept C37914503 @default.
- W4289709205 hasConcept C41008148 @default.
- W4289709205 hasConcept C41895202 @default.
- W4289709205 hasConcept C63553672 @default.
- W4289709205 hasConcept C75291252 @default.
- W4289709205 hasConcept C77553402 @default.
- W4289709205 hasConceptScore W4289709205C114614502 @default.
- W4289709205 hasConceptScore W4289709205C134306372 @default.
- W4289709205 hasConceptScore W4289709205C138885662 @default.
- W4289709205 hasConceptScore W4289709205C157486923 @default.
- W4289709205 hasConceptScore W4289709205C199360897 @default.
- W4289709205 hasConceptScore W4289709205C2777027219 @default.
- W4289709205 hasConceptScore W4289709205C33923547 @default.
- W4289709205 hasConceptScore W4289709205C37914503 @default.
- W4289709205 hasConceptScore W4289709205C41008148 @default.
- W4289709205 hasConceptScore W4289709205C41895202 @default.
- W4289709205 hasConceptScore W4289709205C63553672 @default.
- W4289709205 hasConceptScore W4289709205C75291252 @default.
- W4289709205 hasConceptScore W4289709205C77553402 @default.
- W4289709205 hasLocation W42897092051 @default.
- W4289709205 hasLocation W42897092052 @default.
- W4289709205 hasOpenAccess W4289709205 @default.
- W4289709205 hasPrimaryLocation W42897092051 @default.
- W4289709205 hasRelatedWork W2040339278 @default.
- W4289709205 hasRelatedWork W2885029731 @default.
- W4289709205 hasRelatedWork W2949167457 @default.
- W4289709205 hasRelatedWork W3033084890 @default.
- W4289709205 hasRelatedWork W3157898686 @default.
- W4289709205 hasRelatedWork W3177833205 @default.
- W4289709205 hasRelatedWork W4232352560 @default.
- W4289709205 hasRelatedWork W4287079126 @default.
- W4289709205 hasRelatedWork W4289709205 @default.
- W4289709205 hasRelatedWork W4298200208 @default.
- W4289709205 isParatext "false" @default.
- W4289709205 isRetracted "false" @default.
- W4289709205 workType "article" @default.