Matches in SemOpenAlex for { <https://semopenalex.org/work/W4298200208> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4298200208 abstract "In the trace reconstruction problem, an unknown bit string $x in {0,1}^n$ is observed through the deletion channel, which deletes each bit of $x$ with some constant probability $q$, yielding a contracted string $widetilde{x}$. How many independent copies of $widetilde{x}$ are needed to reconstruct $x$ with high probability? Prior to this work, the best upper bound, due to Holenstein, Mitzenmacher, Panigrahy, and Wieder (2008), was $exp(widetilde{O}(n^{1/2}))$. We improve this bound to $exp(O(n^{1/3}))$ using statistics of individual bits in the output and show that this bound is sharp in the restricted model where this is the only information used. Our method, that uses elementary complex analysis, can also handle insertions." @default.
- W4298200208 created "2022-10-01" @default.
- W4298200208 creator A5020836845 @default.
- W4298200208 creator A5067919151 @default.
- W4298200208 date "2016-12-12" @default.
- W4298200208 modified "2023-09-29" @default.
- W4298200208 title "Trace reconstruction with $exp( O( n^{1/3} ) )$ samples" @default.
- W4298200208 doi "https://doi.org/10.48550/arxiv.1612.03599" @default.
- W4298200208 hasPublicationYear "2016" @default.
- W4298200208 type Work @default.
- W4298200208 citedByCount "0" @default.
- W4298200208 crossrefType "posted-content" @default.
- W4298200208 hasAuthorship W4298200208A5020836845 @default.
- W4298200208 hasAuthorship W4298200208A5067919151 @default.
- W4298200208 hasBestOaLocation W42982002081 @default.
- W4298200208 hasConcept C11413529 @default.
- W4298200208 hasConcept C114614502 @default.
- W4298200208 hasConcept C118615104 @default.
- W4298200208 hasConcept C134306372 @default.
- W4298200208 hasConcept C138885662 @default.
- W4298200208 hasConcept C157486923 @default.
- W4298200208 hasConcept C199360897 @default.
- W4298200208 hasConcept C2777027219 @default.
- W4298200208 hasConcept C33923547 @default.
- W4298200208 hasConcept C37914503 @default.
- W4298200208 hasConcept C41008148 @default.
- W4298200208 hasConcept C41895202 @default.
- W4298200208 hasConcept C75291252 @default.
- W4298200208 hasConcept C77553402 @default.
- W4298200208 hasConceptScore W4298200208C11413529 @default.
- W4298200208 hasConceptScore W4298200208C114614502 @default.
- W4298200208 hasConceptScore W4298200208C118615104 @default.
- W4298200208 hasConceptScore W4298200208C134306372 @default.
- W4298200208 hasConceptScore W4298200208C138885662 @default.
- W4298200208 hasConceptScore W4298200208C157486923 @default.
- W4298200208 hasConceptScore W4298200208C199360897 @default.
- W4298200208 hasConceptScore W4298200208C2777027219 @default.
- W4298200208 hasConceptScore W4298200208C33923547 @default.
- W4298200208 hasConceptScore W4298200208C37914503 @default.
- W4298200208 hasConceptScore W4298200208C41008148 @default.
- W4298200208 hasConceptScore W4298200208C41895202 @default.
- W4298200208 hasConceptScore W4298200208C75291252 @default.
- W4298200208 hasConceptScore W4298200208C77553402 @default.
- W4298200208 hasLocation W42982002081 @default.
- W4298200208 hasOpenAccess W4298200208 @default.
- W4298200208 hasPrimaryLocation W42982002081 @default.
- W4298200208 hasRelatedWork W2056549194 @default.
- W4298200208 hasRelatedWork W2158905189 @default.
- W4298200208 hasRelatedWork W2783580658 @default.
- W4298200208 hasRelatedWork W2949167457 @default.
- W4298200208 hasRelatedWork W2962802724 @default.
- W4298200208 hasRelatedWork W3016091878 @default.
- W4298200208 hasRelatedWork W3177833205 @default.
- W4298200208 hasRelatedWork W4287079126 @default.
- W4298200208 hasRelatedWork W4298200208 @default.
- W4298200208 hasRelatedWork W4299366542 @default.
- W4298200208 isParatext "false" @default.
- W4298200208 isRetracted "false" @default.
- W4298200208 workType "article" @default.