Results 41 to 50 of about 5,908 (265)

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain

Advanced Science, EarlyView.
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio, Tommaso Gili, Andrea Gabrielli, Maurizio Mattia   +3 more
wiley   +1 more source

The Existence of Positive Solutions for Fractional Differential Equations with Sign Changing Nonlinearities

Abstract and Applied Analysis, 2012
We investigate the existence of at least two positive solutions to eigenvalue problems of fractional differential equations with sign changing nonlinearities in more generalized boundary conditions.
Weihua Jiang, Jiqing Qiu, Weiwei Guo
doaj   +1 more source

On some classes of generalized Schrödinger equations

Advances in Nonlinear Analysis, 2020
Some classes of generalized Schrödinger stationary problems are studied. Under appropriated conditions is proved the existence of at least 1 + ∑i=2m$\begin{array}{} \sum_{i=2}^{m} \end{array}$ dim Vλi pairs of nontrivial solutions if a parameter involved
Correa Leão Amanda S. S., Morbach Joelma, Santos Andrelino V., Santos Júnior João R.   +3 more
doaj   +1 more source

The Role of Coordination Mechanisms and Transaction Costs Promoting Sustainability Performance in Agri‐Food Supply Chains: Evidence From Ecuador

Agribusiness, EarlyView.
ABSTRACT Social tensions and resource depletion pose significant challenges to the agri‐food sector, highlighting the need for coordinated strategies to ensure sustainability in supply chains. Despite its critical importance, the relationship between coordination mechanisms and sustainability performance remains underexplored.
Carlos Moreno‐Miranda, Liesbeth Dries
wiley   +1 more source

Geometric Invariant Theory and Generalized Eigenvalue Problem II [PDF]

Annales de l'Institut Fourier, 2010
Let G be a connected reductive subgroup of a complex connected reductive group G ^. Fix maximal tori and Borel subgroups of G and G ^. Consider the cone ℒℛ ∘ (G,G ^) generated by the pairs (ν,ν ^) of strictly dominant characters such that V ν * is a submodule of V ν ^ .
openaire   +8 more sources

Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization

AIChE Journal, EarlyView.
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed, Tao Chen, Antonio del Rio Chanona, Lorenz T. Biegler, Michael Short   +4 more
wiley   +1 more source

Generalized multipoint conjugate eigenvalue problems

Mathematical and Computer Modelling, 2000
The authors study the following boundary value problem \[ y^{(n)}=\lambda P(t,y),\quad t\in(0,1), \qquad y^{(j)}(t_i)=0,\quad j=0,1,\dots,n_i-1,\;i=1,\dots,r, \] with \(r\geq 2, n_i\geq 1\) for \(i=1,\dots,r\), \(\sum^r_{i=1}n_i=n\) and \(0 ...
Wong, P.J.Y., Agarwal, R.P.
openaire   +2 more sources

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

Generalized Eigenvalue Problems with Generative Priors

Advances in Neural Information Processing Systems 37
Generalized eigenvalue problems (GEPs) find applications in various fields of science and engineering. For example, principal component analysis, Fisher's discriminant analysis, and canonical correlation analysis are specific instances of GEPs and are widely used in statistical data processing.
Liu, Zhaoqiang, Li, Wen, Chen, Junren
openaire   +2 more sources

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