Journal ArticleDOI
On the Inverse of the Sum of Matrices
TLDR
In this article, the Inverse of the Sum of Matrices is discussed. But the authors focus on the inverse of the sum of matrices and do not address the problem of the singularity of the matrix.Abstract:
(1981). On the Inverse of the Sum of Matrices. Mathematics Magazine: Vol. 54, No. 2, pp. 67-72.read more
Citations
More filters
Journal ArticleDOI
Partial least squares discriminant analysis: taking the magic away
TL;DR: Partial least squares discriminant analysis (PLS-DA) has been available for nearly 20 years yet is poorly understood by most users as mentioned in this paper, however, despite these limitations, PLS-DA can provide good insight into the causes of discrimination via weights and loadings, which gives it a unique role in exploratory data analysis, for example in metabolomics via visualization of significant variables such as metabolites or spectroscopic peaks.
Journal ArticleDOI
A distributed minimum variance estimator for sensor networks
TL;DR: A distributed estimation algorithm for sensor networks is proposed, in which each node computes its estimate as a weighted sum of its own and its neighbors' measurements and estimates, and an upper bound of the error variance in each node is derived.
Journal ArticleDOI
DINGO: differential network analysis in genomics.
TL;DR: A pathway-based differential network analysis in genomics (DINGO) model for estimating group-specific networks and making inference on the differential networks is proposed and applied to key signaling pathways in glioblastoma to build differential networks for long- term survivors and short-term survivors in The Cancer Genome Atlas.
Proceedings ArticleDOI
Data-driven approach for distribution network topology detection
TL;DR: A data-driven approach to detect the switching actions and topology transitions in distribution networks based on the real time analysis of time-series voltages measurements, which draws on data from high-precision phasor measurement units for distribution networks.
Posted ContentDOI
A fast mrMLM algorithm for multi-locus genome-wide association studies
TL;DR: FASTmrMLM is a fast and reliable algorithm in multi-locus GWAS and ensures high statistical power, high accuracy of estimates and low false positive rate.
References
More filters
Book
Applied Optimal Estimation
TL;DR: This is the first book on the optimal estimation that places its major emphasis on practical applications, treating the subject more from an engineering than a mathematical orientation, and the theory and practice of optimal estimation is presented.
Book
Finite-Dimensional Vector Spaces
TL;DR: The first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces, was the Finite Dimensional Vector Spaces (FDVSP) by Halmos as discussed by the authors.
Journal ArticleDOI
On Errors in Matrix Inversion
Paul S. Dwyer,Frederick V. Waugh +1 more
TL;DR: The methods used in this paper might be applicable to related problems, such as finding bounds to the errors in solving simultaneous equations, but it seemed best to limit this paper to errors in elements of the inverse matrix.