Results 111 to 120 of about 1,082,837 (347)

On QI-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2017
In this paper, the notion of a QI-algebra is introduced which is a generalization of a BI-algebra and there are studied its properties. We considered ideals, congruence kernels in a QI-algebra and characterized congruence kernels whenever a QI-algebra is
Bandaru Ravi Kumar
doaj   +1 more source

On the Kernel of a Polynomial of Scalar Derivations

Mathematics, 2020
In this paper, by using a vector variable, the procedure of characteristic systems allows us to describe the kernel of a polynomial of scalar derivations by solving Cauchy Problems for the corresponding system of ODEs. Moreover, a gradient representation
Savin Treanţă
doaj   +1 more source

Robust Control Design and Analysis Based on Lifting Linearization of Nonlinear Systems Under Uncertain Initial Conditions

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley   +1 more source

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source

Singular integral operators. The case of an unlimited contour

Journal of Numerical Analysis and Approximation Theory, 2005
Let \(\Gamma\)be a closed or unclosed unlimited contour, a shift \(\alpha(t)\) maps homeomorphicly the contour \(\Gamma\) onto itself with preserving or reversing the direction on \(\Gamma\) and also satisfies the conditions: for some natural \(n\geq2\),
V. Neaga
doaj   +2 more sources

Enhancing generalized spectral clustering with embedding Laplacian graph regularization

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract An enhanced generalised spectral clustering framework that addresses the limitations of existing methods by incorporating the Laplacian graph and group effect into a regularisation term is presented. By doing so, the framework significantly enhances discrimination power and proves highly effective in handling noisy data.
Hengmin Zhang, Jian Yang, Bob Zhang, Yang Tang, Wenli Du, Bihan Wen   +5 more
wiley   +1 more source

Simulating Image Coaddition with the Nancy Grace Roman Space Telescope. III. Software Improvements and New Linear Algebra Strategies

The Astrophysical Journal Supplement Series
The Nancy Grace Roman Space Telescope will implement a devoted weak gravitational lensing program with its High Latitude Wide Area Survey. For cosmological purposes, a critical step in Roman image processing is to combine dithered undersampled images ...
Kaili Cao, Christopher M. Hirata, Katherine Laliotis, Masaya Yamamoto, Emily Macbeth, M. A. Troxel   +5 more
doaj   +1 more source

Extensions of Lie algebras of differential operators

, 2020
The aim of this note is to introduce the notion of a $\operatorname{D}$-Lie algebra and to prove some elementary properties of $\operatorname{D}$-Lie algebras, the category of $\operatorname{D}$-Lie algebras, the category of modules on a $\operatorname{D}
Maakestad, Helge Øystein
core  

Model‐Free Local Partial Correlation

Australian &New Zealand Journal of Statistics, EarlyView.
ABSTRACT In the simple linear regression context, partial correlation measures the linear association between two variables, with the linear effects of a third control variable removed. In this paper, we investigate the local partial correlation using a kernel smoothing approach.
Li‐Shan Huang, Chuo‐Ju Yang, Jin‐Ting Zhang   +2 more
wiley   +1 more source

Endomorphic GE-derivations

AIMS Mathematics
Using the binary operation '$ {\Lsh} $' on a GE-algebra $ {X} $ given by $ {\Lsh}({x}, {y}) = ({y}{*} {x}){*} {x} $ and the GE-endomorphism $ {\Omega} : {X} \rightarrow {X} $, the notion of $ {\Omega}_{(l, r)} $-endomorphic (resp., $ {\Omega}_{(r, l ...
Young Bae Jun, Ravikumar Bandaru, Amal S. Alali   +2 more
doaj   +1 more source