Results 81 to 90 of about 418,858 (273)

Machine Learning‐Enhanced Random Matrix Theory Design for Human Immunodeficiency Virus Vaccine Development

Advanced Intelligent Discovery, EarlyView.
This study integrates random matrix theory (RMT) and principal component analysis (PCA) to improve the identification of correlated regions in HIV protein sequences for vaccine design. PCA validation enhances the reliability of RMT‐derived correlations, particularly in small‐sample, high‐dimensional datasets, enabling more accurate detection of ...
Mariyam Siddiqah, Muhammad Zulqarnain Zeb, Muhammad Husnain Zeb, Babar Shabbir   +3 more
wiley   +1 more source

Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship

Electronic Journal of Differential Equations, 2005
It is shown that every regular Krein-Feller eigenvalue problem can be transformed to a semidefinite Sturm-Liouville problem introduced by Atkinson. This makes it possible to transfer results between the corresponding theories. In particular, Prufer angle
Hans Volkmer
doaj  

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

The eigenvalue problem for the p-Laplacian-like equations

International Journal of Mathematics and Mathematical Sciences, 2003
We consider the eigenvalue problem for the following p-Laplacian-like equation: −div(a(|Du|p)|Du|p−2Du)=λf(x,u) in Ω, u=0 on ∂Ω, where Ω⊂ℝn is a bounded smooth domain. When λ is small enough, a multiplicity result for eigenfunctions are obtained.
Zu-Chi Chen, Tao Luo
doaj   +1 more source

On an eigenvalue problem with variable exponents and sign-changing potential

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper we study a non-homogeneous eigenvalue problem involving variable growth conditions and a sign-changing potential. We prove that any $\lambda>0$ sufficiently small is an eigenvalue of the nonhomogeneous eigenvalue problem \begin{equation ...
Bin Ge
doaj   +1 more source

A Data-Driven System Identification Method for Random Eigenvalue Problem Using Synchrosqueezed Energy and Phase Portrait Analysis. [PDF]

Sensors (Basel), 2023
Mahato S, Chakraborty A, Griškevičius P.   +2 more
europepmc   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

A note on a relationship between the inverse eigenvalue problems for nonnegative and doubly stochastic matrices and some applications

, 2013
In this note, we establish some connection between the nonnegative inverse eigenvalue problem and that of doubly stochastic one. More precisely, we prove that if $(r; {\lambda}_2, ..., {\lambda}_n)$ is the spectrum of an $n\times n$ nonnegative matrix A ...
Mourad, Bassam
core  

Robust Reinforcement Learning Control Framework for a Quadrotor Unmanned Aerial Vehicle Using Critic Neural Network

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
Yu Cai, Yefeng Yang, Tao Huang, Boyang Li   +3 more
wiley   +1 more source

On a remarkable geometric-mechanical synergism based on a novel linear eigenvalue problem. [PDF]

Acta Mech, 2021
Kalliauer J, Malendowski M, Mang HA.
europepmc   +1 more source