FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2248940257> ?p ?o ?g. }

• W2248940257 abstract "The stochastic block model for one community with parameters $n, K, p,$ and $q$ is considered: $K$ out of $n$ vertices are in the community; two vertices are connected by an edge with probability $p$ if they are both in the community and with probability $q$ otherwise, where $p > q > 0$ and $p/q$ is assumed to be bounded. An estimator based on observation of the graph $G=(V,E)$ is said to achieve weak recovery if the mean number of misclassified vertices is $o(K)$ as $n to infty$. A critical role is played by the effective signal-to-noise ratio $lambda=K^2(p-q)^2/((n-K)q).$ In the regime $K=Theta(n)$, a na{i}ve degree-thresholding algorithm achieves weak recovery in $O(|E|)$ time if $lambda to infty$, which coincides with the information theoretic possibility of weak recovery. The main focus of the paper is on weak recovery in the sublinear regime $K=o(n)$ and $np = n^{o(1)}.$ It is shown that weak recovery is provided by a belief propagation algorithm running for $log^ast(n)+O(1) $ iterations, if $lambda > 1/e,$ with the total time complexity $O(|E| log^*n)$. Conversely, no local algorithm with radius $t$ of interaction satisfying $t = o(frac{log n}{log(2+np)})$ can asymptotically outperform trivial random guessing if $lambda leq 1/e.$ By analyzing a linear message-passing algorithm that corresponds to applying power iteration to the non-backtracking matrix of the graph, we provide evidence to suggest that spectral methods fail to provide weak recovery if $lambda leq 1.$" @default.
• W2248940257 created "2016-06-24" @default.
• W2248940257 creator A5022543590 @default.
• W2248940257 creator A5047760182 @default.
• W2248940257 creator A5050899081 @default.
• W2248940257 date "2015-10-09" @default.
• W2248940257 modified "2023-09-26" @default.
• W2248940257 title "Recovering a Hidden Community Beyond the Spectral Limit in O(|E|log * |V|) Time." @default.
• W2248940257 cites W1595409123 @default.
• W2248940257 cites W1605711022 @default.
• W2248940257 cites W1777370205 @default.
• W2248940257 cites W1803708361 @default.
• W2248940257 cites W1859301526 @default.
• W2248940257 cites W1897704527 @default.
• W2248940257 cites W1970377488 @default.
• W2248940257 cites W1974967023 @default.
• W2248940257 cites W2004531067 @default.
• W2248940257 cites W2010601719 @default.
• W2248940257 cites W2024514015 @default.
• W2248940257 cites W2033515640 @default.
• W2248940257 cites W2046360729 @default.
• W2248940257 cites W2080262960 @default.
• W2248940257 cites W2093663313 @default.
• W2248940257 cites W2102907934 @default.
• W2248940257 cites W2103012681 @default.
• W2248940257 cites W2116616571 @default.
• W2248940257 cites W2149197198 @default.
• W2248940257 cites W2163599171 @default.
• W2248940257 cites W2166602562 @default.
• W2248940257 cites W2569174811 @default.
• W2248940257 cites W2600681475 @default.
• W2248940257 cites W2964145111 @default.
• W2248940257 hasPublicationYear "2015" @default.
• W2248940257 type Work @default.
• W2248940257 sameAs 2248940257 @default.
• W2248940257 citedByCount "9" @default.
• W2248940257 countsByYear W22489402572016 @default.
• W2248940257 countsByYear W22489402572018 @default.
• W2248940257 crossrefType "posted-content" @default.
• W2248940257 hasAuthorship W2248940257A5022543590 @default.
• W2248940257 hasAuthorship W2248940257A5047760182 @default.
• W2248940257 hasAuthorship W2248940257A5050899081 @default.
• W2248940257 hasConcept C105795698 @default.
• W2248940257 hasConcept C114614502 @default.
• W2248940257 hasConcept C117160843 @default.
• W2248940257 hasConcept C118615104 @default.
• W2248940257 hasConcept C120665830 @default.
• W2248940257 hasConcept C121332964 @default.
• W2248940257 hasConcept C134306372 @default.
• W2248940257 hasConcept C140532419 @default.
• W2248940257 hasConcept C158693339 @default.
• W2248940257 hasConcept C24890656 @default.
• W2248940257 hasConcept C2775997480 @default.
• W2248940257 hasConcept C2778113609 @default.
• W2248940257 hasConcept C2779982251 @default.
• W2248940257 hasConcept C33923547 @default.
• W2248940257 hasConcept C34388435 @default.
• W2248940257 hasConcept C62520636 @default.
• W2248940257 hasConcept C63553672 @default.
• W2248940257 hasConcept C73555534 @default.
• W2248940257 hasConceptScore W2248940257C105795698 @default.
• W2248940257 hasConceptScore W2248940257C114614502 @default.
• W2248940257 hasConceptScore W2248940257C117160843 @default.
• W2248940257 hasConceptScore W2248940257C118615104 @default.
• W2248940257 hasConceptScore W2248940257C120665830 @default.
• W2248940257 hasConceptScore W2248940257C121332964 @default.
• W2248940257 hasConceptScore W2248940257C134306372 @default.
• W2248940257 hasConceptScore W2248940257C140532419 @default.
• W2248940257 hasConceptScore W2248940257C158693339 @default.
• W2248940257 hasConceptScore W2248940257C24890656 @default.
• W2248940257 hasConceptScore W2248940257C2775997480 @default.
• W2248940257 hasConceptScore W2248940257C2778113609 @default.
• W2248940257 hasConceptScore W2248940257C2779982251 @default.
• W2248940257 hasConceptScore W2248940257C33923547 @default.
• W2248940257 hasConceptScore W2248940257C34388435 @default.
• W2248940257 hasConceptScore W2248940257C62520636 @default.
• W2248940257 hasConceptScore W2248940257C63553672 @default.
• W2248940257 hasConceptScore W2248940257C73555534 @default.
• W2248940257 hasLocation W22489402571 @default.
• W2248940257 hasOpenAccess W2248940257 @default.
• W2248940257 hasPrimaryLocation W22489402571 @default.
• W2248940257 hasRelatedWork W1605711022 @default.
• W2248940257 hasRelatedWork W1618148629 @default.
• W2248940257 hasRelatedWork W1645604534 @default.
• W2248940257 hasRelatedWork W1692749124 @default.
• W2248940257 hasRelatedWork W1803708361 @default.
• W2248940257 hasRelatedWork W1863710074 @default.
• W2248940257 hasRelatedWork W2004531067 @default.
• W2248940257 hasRelatedWork W2064274783 @default.
• W2248940257 hasRelatedWork W2102907934 @default.
• W2248940257 hasRelatedWork W2133361319 @default.
• W2248940257 hasRelatedWork W2166602562 @default.
• W2248940257 hasRelatedWork W2594974890 @default.
• W2248940257 hasRelatedWork W2885668447 @default.
• W2248940257 hasRelatedWork W2928878508 @default.
• W2248940257 hasRelatedWork W2949444750 @default.
• W2248940257 hasRelatedWork W2950930877 @default.
• W2248940257 hasRelatedWork W2951844571 @default.
• W2248940257 hasRelatedWork W2963892825 @default.
• W2248940257 hasRelatedWork W3101998289 @default.

• next