Matches in SemOpenAlex for { <https://semopenalex.org/work/W4295723311> ?p ?o ?g. }
Showing items 1 to 31 of
31
with 100 items per page.
- W4295723311 abstract "The multilinear Pagerank model [Gleich, Lim and Yu, 2015] is a tensor-based generalization of the Pagerank model. Its computation requires solving a system of polynomial equations that contains a parameter $alpha in [0,1)$. For $alpha approx 1$, this computation remains a challenging problem, especially since the solution may be non-unique. Extrapolation strategies that start from smaller values of $alpha$ and `follow' the solution by slowly increasing this parameter have been suggested; however, there are known cases where these strategies fail, because a globally continuous solution curve cannot be defined as a function of $alpha$. In this paper, we improve on this idea, by employing a predictor-corrector continuation algorithm based on a more general representation of the solutions as a curve in $mathbb{R}^{n+1}$. We prove several global properties of this curve that ensure the good behavior of the algorithm, and we show in our numerical experiments that this method is significantly more reliable than the existing alternatives." @default.
- W4295723311 created "2022-09-14" @default.
- W4295723311 creator A5017052303 @default.
- W4295723311 creator A5031634329 @default.
- W4295723311 date "2021-02-25" @default.
- W4295723311 modified "2023-09-23" @default.
- W4295723311 title "A continuation method for computing the multilinear Pagerank" @default.
- W4295723311 doi "https://doi.org/10.48550/arxiv.2102.12714" @default.
- W4295723311 hasPublicationYear "2021" @default.
- W4295723311 type Work @default.
- W4295723311 citedByCount "0" @default.
- W4295723311 crossrefType "posted-content" @default.
- W4295723311 hasAuthorship W4295723311A5017052303 @default.
- W4295723311 hasAuthorship W4295723311A5031634329 @default.
- W4295723311 hasBestOaLocation W42957233111 @default.
- W4295723311 hasLocation W42957233111 @default.
- W4295723311 hasOpenAccess W4295723311 @default.
- W4295723311 hasPrimaryLocation W42957233111 @default.
- W4295723311 hasRelatedWork W1966142534 @default.
- W4295723311 hasRelatedWork W1984887486 @default.
- W4295723311 hasRelatedWork W2040583103 @default.
- W4295723311 hasRelatedWork W2130906549 @default.
- W4295723311 hasRelatedWork W2474109129 @default.
- W4295723311 hasRelatedWork W2948463402 @default.
- W4295723311 hasRelatedWork W2997212412 @default.
- W4295723311 hasRelatedWork W4210608647 @default.
- W4295723311 hasRelatedWork W4254963941 @default.
- W4295723311 hasRelatedWork W4295408978 @default.
- W4295723311 isParatext "false" @default.
- W4295723311 isRetracted "false" @default.
- W4295723311 workType "article" @default.