FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2953389920> ?p ?o ?g. }

• W2953389920 abstract "We study the basic problem of subspace recovery. That is, we assume a data set that some of its points are sampled around a fixed subspace and the rest of them are spread in the whole ambient space, and we aim to recover the fixed underlying subspace. We first estimate robust inverse sample by solving a convex minimization procedure; we then recover the subspace by the bottom eigenvectors of this matrix (their number correspond to the number of eigenvalues close to 0). We guarantee exact subspace recovery under some conditions on the underlying data. Furthermore, we propose a fast iterative algorithm, which linearly converges to the matrix minimizing the convex problem. We also quantify the effect of noise and regularization and discuss many other practical and theoretical issues for improving the subspace recovery in various settings. When replacing the sum of terms in the convex energy function (that we minimize) with the sum of squares of terms, we obtain that the new minimizer is a scaled version of the inverse sample covariance (when exists). We thus interpret our minimizer and its subspace (spanned by its bottom eigenvectors) as versions of the empirical inverse covariance and the PCA subspace respectively. We compare our method with many other algorithms for PCA on synthetic and real data sets and demonstrate state-of-the-art speed and accuracy." @default.
• W2953389920 created "2019-06-27" @default.
• W2953389920 creator A5033785543 @default.
• W2953389920 creator A5088795209 @default.
• W2953389920 date "2011-12-20" @default.
• W2953389920 modified "2023-09-23" @default.
• W2953389920 title "A Novel M-Estimator for Robust PCA" @default.
• W2953389920 cites W149129625 @default.
• W2953389920 cites W1501972811 @default.
• W2953389920 cites W1513013675 @default.
• W2953389920 cites W1533128638 @default.
• W2953389920 cites W1588030230 @default.
• W2953389920 cites W1736339626 @default.
• W2953389920 cites W1970377488 @default.
• W2953389920 cites W1974804467 @default.
• W2953389920 cites W1975400766 @default.
• W2953389920 cites W1979486458 @default.
• W2953389920 cites W1979573625 @default.
• W2953389920 cites W1979641152 @default.
• W2953389920 cites W198034206 @default.
• W2953389920 cites W1995168330 @default.
• W2953389920 cites W1995753968 @default.
• W2953389920 cites W1997201895 @default.
• W2953389920 cites W2008418230 @default.
• W2953389920 cites W2008995227 @default.
• W2953389920 cites W2010016312 @default.
• W2953389920 cites W2010951077 @default.
• W2953389920 cites W2018816711 @default.
• W2953389920 cites W2022775854 @default.
• W2953389920 cites W2025680668 @default.
• W2953389920 cites W2026239436 @default.
• W2953389920 cites W2046098009 @default.
• W2953389920 cites W2048901266 @default.
• W2953389920 cites W2052740976 @default.
• W2953389920 cites W2053090063 @default.
• W2953389920 cites W2055894834 @default.
• W2953389920 cites W2058094526 @default.
• W2953389920 cites W2064346177 @default.
• W2953389920 cites W2067013698 @default.
• W2953389920 cites W2077430220 @default.
• W2953389920 cites W2085990600 @default.
• W2953389920 cites W2098884960 @default.
• W2953389920 cites W2105518356 @default.
• W2953389920 cites W2119883478 @default.
• W2953389920 cites W2120118379 @default.
• W2953389920 cites W2125742596 @default.
• W2953389920 cites W2125874614 @default.
• W2953389920 cites W2135498906 @default.
• W2953389920 cites W2136179595 @default.
• W2953389920 cites W2140151376 @default.
• W2953389920 cites W2145962650 @default.
• W2953389920 cites W2146610201 @default.
• W2953389920 cites W2150489380 @default.
• W2953389920 cites W2155813684 @default.
• W2953389920 cites W2164452299 @default.
• W2953389920 cites W2170214967 @default.
• W2953389920 cites W2566240941 @default.
• W2953389920 cites W2962933442 @default.
• W2953389920 cites W2965497096 @default.
• W2953389920 cites W3103861421 @default.
• W2953389920 cites W3104624268 @default.
• W2953389920 cites W3106324661 @default.
• W2953389920 cites W3148930403 @default.
• W2953389920 cites W410724028 @default.
• W2953389920 cites W79405465 @default.
• W2953389920 cites W1647431220 @default.
• W2953389920 cites W1671099540 @default.
• W2953389920 hasPublicationYear "2011" @default.
• W2953389920 type Work @default.
• W2953389920 sameAs 2953389920 @default.
• W2953389920 citedByCount "6" @default.
• W2953389920 countsByYear W29533899202012 @default.
• W2953389920 countsByYear W29533899202013 @default.
• W2953389920 countsByYear W29533899202014 @default.
• W2953389920 crossrefType "posted-content" @default.
• W2953389920 hasAuthorship W2953389920A5033785543 @default.
• W2953389920 hasAuthorship W2953389920A5088795209 @default.
• W2953389920 hasConcept C105795698 @default.
• W2953389920 hasConcept C112680207 @default.
• W2953389920 hasConcept C11413529 @default.
• W2953389920 hasConcept C121332964 @default.
• W2953389920 hasConcept C126255220 @default.
• W2953389920 hasConcept C134306372 @default.
• W2953389920 hasConcept C157972887 @default.
• W2953389920 hasConcept C158693339 @default.
• W2953389920 hasConcept C185429906 @default.
• W2953389920 hasConcept C2524010 @default.
• W2953389920 hasConcept C28826006 @default.
• W2953389920 hasConcept C32834561 @default.
• W2953389920 hasConcept C33923547 @default.
• W2953389920 hasConcept C62520636 @default.
• W2953389920 hasConceptScore W2953389920C105795698 @default.
• W2953389920 hasConceptScore W2953389920C112680207 @default.
• W2953389920 hasConceptScore W2953389920C11413529 @default.
• W2953389920 hasConceptScore W2953389920C121332964 @default.
• W2953389920 hasConceptScore W2953389920C126255220 @default.
• W2953389920 hasConceptScore W2953389920C134306372 @default.
• W2953389920 hasConceptScore W2953389920C157972887 @default.
• W2953389920 hasConceptScore W2953389920C158693339 @default.
• W2953389920 hasConceptScore W2953389920C185429906 @default.

• next