Results 41 to 50 of about 9,586,369 (306)

Multifidelity Dimension Reduction via Active Subspaces [PDF]

SIAM Journal on Scientific Computing, 2018
We propose a multifidelity dimension reduction method to identify a low-dimensional structure present in many engineering models. The structure of interest arises when functions vary primarily on a low-dimensional subspace of the high-dimensional input ...
Rémi R. Lam, O. Zahm, Y. Marzouk, K. Willcox   +3 more
semanticscholar   +1 more source

Network-based diagnostic probability estimation from resting-state functional magnetic resonance imaging

Mathematical Biosciences and Engineering, 2023
Brain functional connectivity is a useful biomarker for diagnosing brain disorders. Connectivity is measured using resting-state functional magnetic resonance imaging (rs-fMRI).
Atsushi Kawaguchi
doaj   +1 more source

On dimension reduction in Gaussian filters

, 2015
A priori dimension reduction is a widely adopted technique for reducing the computational complexity of stationary inverse problems. In this setting, the solution of an inverse problem is parameterized by a low-dimensional basis that is often obtained ...
Antti Solonen, Evensen G, Fisher M, Fisher M, Golub G H, Janne Hakkarainen, Kaipio J, Karhunen K, Lorenz E N, Preisendorfer R, Rasmussen C E, Seppänen A, Sirovich L, Tiangang Cui, Youssef Marzouk   +14 more
core   +1 more source

PLS dimension reduction for classification of microarray data [PDF]

, 2004
PLS dimension reduction is known to give good prediction accuracy in the context of classification with high-dimensional microarray data. In this paper, PLS is compared with some of the best state-of-the-art classification methods.
Boulesteix, Anne-Laure
core   +3 more sources

Predicting tipping points in mutualistic networks through dimension reduction

Proceedings of the National Academy of Sciences of the United States of America, 2018
Significance Complex systems in many fields, because of their intrinsic nonlinear dynamics, can exhibit a tipping point (point of no return) at which a total collapse of the system occurs.
Junjie Jiang, Zi-Gang Huang, T. Seager, Wei Lin, C. Grebogi, A. Hastings, Y. Lai   +6 more
semanticscholar   +1 more source

An atomistic derivation of von-Kármán plate theory

Networks and Heterogeneous Media, 2022
We derive von-Kármán plate theory from three dimensional, purely atomistic models with classical particle interaction. This derivation is established as a \begin{document}$ \Gamma $\end{document}-limit when considering the limit where the interatomic ...
Julian Braun, Bernd Schmidt
doaj   +1 more source

Continuum directions for supervised dimension reduction

, 2018
Dimension reduction of multivariate data supervised by auxiliary information is considered. A series of basis for dimension reduction is obtained as minimizers of a novel criterion.
Jung, Sungkyu
core   +1 more source

A surrogate modelling approach based on nonlinear dimension reduction for uncertainty quantification in groundwater flow models [PDF]

, 2019
In this paper, we develop a surrogate modelling approach for capturing the output field (e.g., the pressure head) from groundwater flow models involving a stochastic input field (e.g., the hy- draulic conductivity). We use a Karhunen-Lo`eve expansion for
Gadd, Charles W. L., Mousavi Nezhad, Mohaddeseh, Shah, Akeel A., Xing, Wei   +3 more
core   +1 more source

Multiple phenotype association tests based on sliced inverse regression

BMC Bioinformatics
Background Joint analysis of multiple phenotypes in studies of biological systems such as Genome-Wide Association Studies is critical to revealing the functional interactions between various traits and genetic variants, but growth of data in ...
Wenyuan Sun, Kyongson Jon, Wensheng Zhu, the Alzheimer’s Disease Neuroimaging Initiative   +3 more
doaj   +1 more source

Toward More Efficient WMSN Data Search Combined FJLT Dimension Expansion With PCA Dimension Reduction

IEEE Access, 2020
With the rapid development of 5G technology, the scales and dimensions of the data that are processed by Wireless Multimedia Sensor Network (WMSN) applications will be larger than ever before.
Chenkai Xiao, Wenhao Shao, Ruliang Xiao
doaj   +1 more source