Results 61 to 70 of about 1,101,519 (253)
A note on the best approximate solution of the equation AXB-C=0
A counterexample is constructed which shows that with respect to the 2-norm,there exist matrices A,B and C such that A† CB† fails to be the best approximate solution of the equation AXB-C=0,where A† and B† are the Moore-Penrose ...
Song Chuanning, Xu Qingxiang
doaj +1 more source
ABSTRACT We present four novel tests of equal predictive accuracy and encompassing á Pitarakis (2023, 2025) for factor‐augmented regressions. Factors are estimated using cross‐section averages (CAs) of grouped series and our theoretical findings are empirically relevant: asymptotic normality, robustness to an overspecification of the number of factors,
Alessandro Morico, Ovidijus Stauskas
wiley +1 more source
Restricted strong convexity and weighted matrix completion: Optimal bounds with noise [PDF]
We consider the matrix completion problem under a form of row/column weighted entrywise sampling, including the case of uniform entrywise sampling as a special case.
Negahban, Sahand, Wainwright, Martin J.
core +1 more source
The hyperspectral images (HSIs) often suffer from Hughes effect, as it records information of a single scene in several spectral bands. This can be mitigated by reducing the dimension of HSI.
R. Patro, Subhashree Subudhi, P. Biswal
semanticscholar +1 more source
Frozen Differential Scattering in Reconfigurable Complex Media
A localized perturbation universally results in a rank‐one update of the scattering matrix of any complex medium. The resulting differential output wavefront is “frozen”: its spatial pattern is fixed (agnostic to the input wavefront). Experiments with a programmable‐metasurface‐parametrized wireless link validate frozen differential scattering and ...
Philipp del Hougne
wiley +1 more source
Consistency of the total least squares estimator in the linear errors-in-variables regression
This paper deals with a homoskedastic errors-in-variables linear regression model and properties of the total least squares (TLS) estimator. We partly revise the consistency results for the TLS estimator previously obtained by the author [18]. We present
Sergiy Shklyar
doaj +1 more source
F-2D-QPCA: A Quaternion Principal Component Analysis Method for Color Face Recognition
Two-dimensional quaternion principal component analysis (2D-QPCA) is one of the successful dimensionality reduction methods for color face recognition. However, 2D-QPCA is sensitive to outliers.
Minghui Wang +3 more
doaj +1 more source
A bipartite separable ball and its applications
In this paper, based on a matrix norm, we first present a ball of separable unnormalized states around the identity matrix for the bipartite quantum system, which is larger than the separable ball in Frobenius norm.
Li, Lei, Li, Ming, Shen, Shu-Qian
core +1 more source
Spectral Radii of Fixed Frobenius Norm Perturbations of Nonnegative Matrices [PDF]
Questions of maximizing the spectral radii of matrices \(A + X\) and \(A + D\) where \(A\) is an \(n \times n\) nonnegative matrix are studied. In the first maximization case the matrix \(X\) is a real one of type \(n \times n\) with Frobenius norm 1, and in the second case \(D\) is as \(X\) but with the further restriction to be a diagonal matrix ...
Lixing Han +2 more
openaire +1 more source
Dynamic Mode Decomposition (DMD) for Low‐Latency Real‐Time Cardiac MRI
ABSTRACT Purpose To demonstrate dynamic mode decomposition (DMD) for high spatiotemporal low‐latency online reconstruction in 2D real‐time cardiac MRI. Methods DMD was applied to 2D spiral balanced steady state free precession (bSSFP) real‐time adult and fetal cardiac MRI at 0.55 T, with data from 10 healthy adult volunteers (3F/7M; age: 21–49; BMI: 20–
Ecrin Yagiz +5 more
wiley +1 more source

