Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287331370> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W4287331370 abstract "Principal Component Analysis (PCA) is a fundamental tool for data visualization, denoising, and dimensionality reduction. It is widely popular in Statistics, Machine Learning, Computer Vision, and related fields. However, PCA is well-known to fall prey to outliers and often fails to detect the true underlying low-dimensional structure within the dataset. Following the Median of Means (MoM) philosophy, recent supervised learning methods have shown great success in dealing with outlying observations without much compromise to their large sample theoretical properties. This paper proposes a PCA procedure based on the MoM principle. Called the textbf{M}edian of textbf{M}eans textbf{P}rincipal textbf{C}omponent textbf{A}nalysis (MoMPCA), the proposed method is not only computationally appealing but also achieves optimal convergence rates under minimal assumptions. In particular, we explore the non-asymptotic error bounds of the obtained solution via the aid of the Rademacher complexities while granting absolutely no assumption on the outlying observations. The derived concentration results are not dependent on the dimension because the analysis is conducted in a separable Hilbert space, and the results only depend on the fourth moment of the underlying distribution in the corresponding norm. The proposal's efficacy is also thoroughly showcased through simulations and real data applications." @default.
- W4287331370 created "2022-07-25" @default.
- W4287331370 creator A5000078546 @default.
- W4287331370 creator A5001767598 @default.
- W4287331370 creator A5054854377 @default.
- W4287331370 date "2021-02-05" @default.
- W4287331370 modified "2023-10-16" @default.
- W4287331370 title "Robust Principal Component Analysis: A Median of Means Approach" @default.
- W4287331370 doi "https://doi.org/10.48550/arxiv.2102.03403" @default.
- W4287331370 hasPublicationYear "2021" @default.
- W4287331370 type Work @default.
- W4287331370 citedByCount "0" @default.
- W4287331370 crossrefType "posted-content" @default.
- W4287331370 hasAuthorship W4287331370A5000078546 @default.
- W4287331370 hasAuthorship W4287331370A5001767598 @default.
- W4287331370 hasAuthorship W4287331370A5054854377 @default.
- W4287331370 hasBestOaLocation W42873313701 @default.
- W4287331370 hasConcept C111030470 @default.
- W4287331370 hasConcept C11413529 @default.
- W4287331370 hasConcept C114614502 @default.
- W4287331370 hasConcept C121332964 @default.
- W4287331370 hasConcept C134306372 @default.
- W4287331370 hasConcept C154945302 @default.
- W4287331370 hasConcept C162324750 @default.
- W4287331370 hasConcept C17744445 @default.
- W4287331370 hasConcept C179254644 @default.
- W4287331370 hasConcept C191795146 @default.
- W4287331370 hasConcept C199539241 @default.
- W4287331370 hasConcept C24252448 @default.
- W4287331370 hasConcept C27438332 @default.
- W4287331370 hasConcept C2777303404 @default.
- W4287331370 hasConcept C28826006 @default.
- W4287331370 hasConcept C33676613 @default.
- W4287331370 hasConcept C33923547 @default.
- W4287331370 hasConcept C41008148 @default.
- W4287331370 hasConcept C50522688 @default.
- W4287331370 hasConcept C70518039 @default.
- W4287331370 hasConcept C70710897 @default.
- W4287331370 hasConcept C74650414 @default.
- W4287331370 hasConcept C79337645 @default.
- W4287331370 hasConceptScore W4287331370C111030470 @default.
- W4287331370 hasConceptScore W4287331370C11413529 @default.
- W4287331370 hasConceptScore W4287331370C114614502 @default.
- W4287331370 hasConceptScore W4287331370C121332964 @default.
- W4287331370 hasConceptScore W4287331370C134306372 @default.
- W4287331370 hasConceptScore W4287331370C154945302 @default.
- W4287331370 hasConceptScore W4287331370C162324750 @default.
- W4287331370 hasConceptScore W4287331370C17744445 @default.
- W4287331370 hasConceptScore W4287331370C179254644 @default.
- W4287331370 hasConceptScore W4287331370C191795146 @default.
- W4287331370 hasConceptScore W4287331370C199539241 @default.
- W4287331370 hasConceptScore W4287331370C24252448 @default.
- W4287331370 hasConceptScore W4287331370C27438332 @default.
- W4287331370 hasConceptScore W4287331370C2777303404 @default.
- W4287331370 hasConceptScore W4287331370C28826006 @default.
- W4287331370 hasConceptScore W4287331370C33676613 @default.
- W4287331370 hasConceptScore W4287331370C33923547 @default.
- W4287331370 hasConceptScore W4287331370C41008148 @default.
- W4287331370 hasConceptScore W4287331370C50522688 @default.
- W4287331370 hasConceptScore W4287331370C70518039 @default.
- W4287331370 hasConceptScore W4287331370C70710897 @default.
- W4287331370 hasConceptScore W4287331370C74650414 @default.
- W4287331370 hasConceptScore W4287331370C79337645 @default.
- W4287331370 hasLocation W42873313701 @default.
- W4287331370 hasLocation W42873313702 @default.
- W4287331370 hasOpenAccess W4287331370 @default.
- W4287331370 hasPrimaryLocation W42873313701 @default.
- W4287331370 hasRelatedWork W1576424959 @default.
- W4287331370 hasRelatedWork W1590686163 @default.
- W4287331370 hasRelatedWork W2015625307 @default.
- W4287331370 hasRelatedWork W2053090063 @default.
- W4287331370 hasRelatedWork W2097714737 @default.
- W4287331370 hasRelatedWork W2367108484 @default.
- W4287331370 hasRelatedWork W2372988594 @default.
- W4287331370 hasRelatedWork W2593948145 @default.
- W4287331370 hasRelatedWork W3142002785 @default.
- W4287331370 hasRelatedWork W4283792950 @default.
- W4287331370 isParatext "false" @default.
- W4287331370 isRetracted "false" @default.
- W4287331370 workType "article" @default.