Matches in SemOpenAlex for { <https://semopenalex.org/work/W2081687577> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W2081687577 abstract "Abstract The estimation of a diffusion tensor imaging (DTI) model proposed by Koltchinskii et al. (2007) involves two steps. The second step requires solving an ordinary differential equation, which in practice is solved by using a numerical approximation. We investigate how to balance the additional numerical error introduced by this approximation with the statistical estimation error using empirical mean integrated squared error for Euler’s and the second order Runge–Kutta approximations. We give practical guideline on how fast should the numerical approximation step grow with respect to the sample size. However, the typical scales of the neural fibers estimated using DTI in brains are much smaller than the maximal allowed numerical approximation step for approximation of any order. It is further observed that a simple Euler’s approximation gives very similar results as obtained by using a more sophisticated numerical approximation of a higher order. In view of the increasing computational costs for numerical approximations of higher orders, the use of Euler’s approximation is well-justified for the DTI." @default.
- W2081687577 created "2016-06-24" @default.
- W2081687577 creator A5038258790 @default.
- W2081687577 date "2012-06-01" @default.
- W2081687577 modified "2023-09-27" @default.
- W2081687577 title "Numerical issues in estimation of integral curves from noisy diffusion tensor data" @default.
- W2081687577 cites W1982221591 @default.
- W2081687577 cites W1984521182 @default.
- W2081687577 cites W2148873802 @default.
- W2081687577 cites W626312688 @default.
- W2081687577 doi "https://doi.org/10.1016/j.spl.2012.03.014" @default.
- W2081687577 hasPublicationYear "2012" @default.
- W2081687577 type Work @default.
- W2081687577 sameAs 2081687577 @default.
- W2081687577 citedByCount "3" @default.
- W2081687577 countsByYear W20816875772015 @default.
- W2081687577 countsByYear W20816875772021 @default.
- W2081687577 crossrefType "journal-article" @default.
- W2081687577 hasAuthorship W2081687577A5038258790 @default.
- W2081687577 hasConcept C122383733 @default.
- W2081687577 hasConcept C134306372 @default.
- W2081687577 hasConcept C145242015 @default.
- W2081687577 hasConcept C155281189 @default.
- W2081687577 hasConcept C176321772 @default.
- W2081687577 hasConcept C193386753 @default.
- W2081687577 hasConcept C2524010 @default.
- W2081687577 hasConcept C28826006 @default.
- W2081687577 hasConcept C2986878899 @default.
- W2081687577 hasConcept C33923547 @default.
- W2081687577 hasConcept C39177556 @default.
- W2081687577 hasConcept C48753275 @default.
- W2081687577 hasConceptScore W2081687577C122383733 @default.
- W2081687577 hasConceptScore W2081687577C134306372 @default.
- W2081687577 hasConceptScore W2081687577C145242015 @default.
- W2081687577 hasConceptScore W2081687577C155281189 @default.
- W2081687577 hasConceptScore W2081687577C176321772 @default.
- W2081687577 hasConceptScore W2081687577C193386753 @default.
- W2081687577 hasConceptScore W2081687577C2524010 @default.
- W2081687577 hasConceptScore W2081687577C28826006 @default.
- W2081687577 hasConceptScore W2081687577C2986878899 @default.
- W2081687577 hasConceptScore W2081687577C33923547 @default.
- W2081687577 hasConceptScore W2081687577C39177556 @default.
- W2081687577 hasConceptScore W2081687577C48753275 @default.
- W2081687577 hasLocation W20816875771 @default.
- W2081687577 hasOpenAccess W2081687577 @default.
- W2081687577 hasPrimaryLocation W20816875771 @default.
- W2081687577 hasRelatedWork W1492234650 @default.
- W2081687577 hasRelatedWork W18607932 @default.
- W2081687577 hasRelatedWork W1966877291 @default.
- W2081687577 hasRelatedWork W1985607970 @default.
- W2081687577 hasRelatedWork W1986611912 @default.
- W2081687577 hasRelatedWork W1988753940 @default.
- W2081687577 hasRelatedWork W2032710850 @default.
- W2081687577 hasRelatedWork W2039933247 @default.
- W2081687577 hasRelatedWork W2075863435 @default.
- W2081687577 hasRelatedWork W2077394301 @default.
- W2081687577 hasRelatedWork W2082617508 @default.
- W2081687577 hasRelatedWork W2165187821 @default.
- W2081687577 hasRelatedWork W2492049156 @default.
- W2081687577 hasRelatedWork W2738566553 @default.
- W2081687577 hasRelatedWork W2899985209 @default.
- W2081687577 hasRelatedWork W2927000789 @default.
- W2081687577 hasRelatedWork W2977452978 @default.
- W2081687577 hasRelatedWork W3023731497 @default.
- W2081687577 hasRelatedWork W3044147556 @default.
- W2081687577 hasRelatedWork W2963209333 @default.
- W2081687577 isParatext "false" @default.
- W2081687577 isRetracted "false" @default.
- W2081687577 magId "2081687577" @default.
- W2081687577 workType "article" @default.