Matches in SemOpenAlex for { <https://semopenalex.org/work/W3207528593> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W3207528593 abstract "We systematically study the spectrum of kernel-based graph Laplacian (GL) constructed from high-dimensional and noisy random point cloud in the nonnull setup. The problem is motived by studying the model when the clean signal is sampled from a manifold that is embedded in a low-dimensional Euclidean subspace, and corrupted by high-dimensional noise. We quantify how the signal and noise interact over different regions of signal-to-noise ratio (SNR), and report the resulting peculiar spectral behavior of GL. In addition, we explore the impact of chosen kernel bandwidth on the spectrum of GL over different regions of SNR, which lead to an adaptive choice of kernel bandwidth that coincides with the common practice in real data. This result paves the way to a theoretical understanding of how practitioners apply GL when the dataset is noisy." @default.
- W3207528593 created "2021-10-25" @default.
- W3207528593 creator A5049698434 @default.
- W3207528593 creator A5054237838 @default.
- W3207528593 date "2020-11-21" @default.
- W3207528593 modified "2023-09-26" @default.
- W3207528593 title "Impact of signal-to-noise ratio and bandwidth on graph Laplacian spectrum from high-dimensional noisy point cloud" @default.
- W3207528593 cites W1520752838 @default.
- W3207528593 cites W1576778649 @default.
- W3207528593 cites W1986146696 @default.
- W3207528593 cites W2008054949 @default.
- W3207528593 cites W2053186076 @default.
- W3207528593 cites W2060581589 @default.
- W3207528593 cites W2066459155 @default.
- W3207528593 cites W2097308346 @default.
- W3207528593 cites W2135825502 @default.
- W3207528593 cites W2230899220 @default.
- W3207528593 cites W2594616628 @default.
- W3207528593 cites W2787248994 @default.
- W3207528593 cites W2962684393 @default.
- W3207528593 cites W2962936676 @default.
- W3207528593 cites W2963963733 @default.
- W3207528593 cites W2963971061 @default.
- W3207528593 cites W2963975913 @default.
- W3207528593 cites W2997525607 @default.
- W3207528593 cites W3088357727 @default.
- W3207528593 cites W3101974274 @default.
- W3207528593 cites W3102351945 @default.
- W3207528593 cites W3152110893 @default.
- W3207528593 cites W93530381 @default.
- W3207528593 cites W3092230230 @default.
- W3207528593 doi "https://doi.org/10.48550/arxiv.2011.10725" @default.
- W3207528593 hasPublicationYear "2020" @default.
- W3207528593 type Work @default.
- W3207528593 sameAs 3207528593 @default.
- W3207528593 citedByCount "3" @default.
- W3207528593 countsByYear W32075285932019 @default.
- W3207528593 countsByYear W32075285932021 @default.
- W3207528593 crossrefType "posted-content" @default.
- W3207528593 hasAuthorship W3207528593A5049698434 @default.
- W3207528593 hasAuthorship W3207528593A5054237838 @default.
- W3207528593 hasBestOaLocation W32075285931 @default.
- W3207528593 hasConcept C11413529 @default.
- W3207528593 hasConcept C115178988 @default.
- W3207528593 hasConcept C118615104 @default.
- W3207528593 hasConcept C131979681 @default.
- W3207528593 hasConcept C132525143 @default.
- W3207528593 hasConcept C134306372 @default.
- W3207528593 hasConcept C154945302 @default.
- W3207528593 hasConcept C165700671 @default.
- W3207528593 hasConcept C2776257435 @default.
- W3207528593 hasConcept C32834561 @default.
- W3207528593 hasConcept C33923547 @default.
- W3207528593 hasConcept C41008148 @default.
- W3207528593 hasConcept C74193536 @default.
- W3207528593 hasConcept C76155785 @default.
- W3207528593 hasConcept C80444323 @default.
- W3207528593 hasConceptScore W3207528593C11413529 @default.
- W3207528593 hasConceptScore W3207528593C115178988 @default.
- W3207528593 hasConceptScore W3207528593C118615104 @default.
- W3207528593 hasConceptScore W3207528593C131979681 @default.
- W3207528593 hasConceptScore W3207528593C132525143 @default.
- W3207528593 hasConceptScore W3207528593C134306372 @default.
- W3207528593 hasConceptScore W3207528593C154945302 @default.
- W3207528593 hasConceptScore W3207528593C165700671 @default.
- W3207528593 hasConceptScore W3207528593C2776257435 @default.
- W3207528593 hasConceptScore W3207528593C32834561 @default.
- W3207528593 hasConceptScore W3207528593C33923547 @default.
- W3207528593 hasConceptScore W3207528593C41008148 @default.
- W3207528593 hasConceptScore W3207528593C74193536 @default.
- W3207528593 hasConceptScore W3207528593C76155785 @default.
- W3207528593 hasConceptScore W3207528593C80444323 @default.
- W3207528593 hasLocation W32075285931 @default.
- W3207528593 hasOpenAccess W3207528593 @default.
- W3207528593 hasPrimaryLocation W32075285931 @default.
- W3207528593 hasRelatedWork W2016085337 @default.
- W3207528593 hasRelatedWork W2151689305 @default.
- W3207528593 hasRelatedWork W2298820818 @default.
- W3207528593 hasRelatedWork W2389786622 @default.
- W3207528593 hasRelatedWork W2951820272 @default.
- W3207528593 hasRelatedWork W2963631317 @default.
- W3207528593 hasRelatedWork W3002112887 @default.
- W3207528593 hasRelatedWork W3202720827 @default.
- W3207528593 hasRelatedWork W4310911903 @default.
- W3207528593 hasRelatedWork W58770712 @default.
- W3207528593 isParatext "false" @default.
- W3207528593 isRetracted "false" @default.
- W3207528593 magId "3207528593" @default.
- W3207528593 workType "article" @default.