Results 51 to 60 of about 5,721 (292)
Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction
Fractal and Fractional, 2022 Research interest in iterative multipoint schemes to solve nonlinear problems has increased recently because of the drawbacks of point-to-point methods, which need high-order derivatives to increase the order of convergence.
José J. Padilla +3 more
doaj +1 more source
Shaping attraction basins in neural networks [PDF]
Neural Networks, 1990 Abstract An interesting duality between two formally related schemes for neural associative memory is exploited to shape the attraction basins of stored memories. Considered are a family of spectral algorithms—based on specifying the spectrum of the matrix of weights as a function of the memories to be stored—and a class of dual spectral algorithms ...
Santosh S. Venkatesh +3 more
openaire +1 more source
, 2013 This table shows the fractional sizes of the basins of attraction in the Boolean and Glass models. The data for the Glass dynamics were obtained by sampling 10,000 microscopic configurations for each of the Ω = 2N Boolean configurations, and by counting ...
Yuriria Cortes-Poza (376011) +10 more
core +1 more source
Advanced Energy Materials, EarlyView.Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park +19 more
wiley +1 more source
Automated generative process synthesis via transformer‐based dual‐loop simulation and optimization
AIChE Journal, EarlyView.Abstract This study presents a novel framework for automated generative process synthesis, addressing the complexity of simultaneously optimizing discrete topologies and continuous operating variables. To overcome conventional superstructure limitations, we propose a dual‐loop architecture integrating generative transformers with rigorous process ...
Yeong Woo Son +4 more
wiley +1 more source
A Triparametric Family of Optimal Fourth-Order Multiple-Root Finders and Their Dynamics
Discrete Dynamics in Nature and Society, 2016 We investigate the complex dynamics of a triparametric family of optimal fourth-order multiple-root solvers by analyzing their basins of attraction along with extensive study of Möbius conjugacy maps and extraneous fixed points applied to a prototype ...
Young Ik Kim, Young Hee Geum
doaj +1 more source
Basins of attraction for triple logistic maps
, 2022 Attractors and the associated basins of attraction for triple logistic maps are detected and visualized numerically (see [8]) as well as by the technique of critical manifolds due to C. Mira (see e.g., [7], [5])
Andres, Jan, Fišer, Jiří
core
Data‐Guided Photocatalysis: Supervised Machine Learning in Water Splitting and CO2 Conversion
Advanced Intelligent Discovery, EarlyView.This review highlights recent advances in supervised machine learning (ML) for photocatalysis, emphasizing methods to optimize photocatalyst properties and design materials for solar‐driven water splitting and CO2 reduction. Key applications, challenges, and future directions are discussed, offering a practical framework for integrating ML into the ...
Paul Rossener Regonia +1 more
wiley +1 more source
Efficient Newton-Type Solvers Based on for Finding the Solution of Nonlinear Algebraic Problems
AxiomsThe purpose of this study is to improve the computational efficiency of solvers for nonlinear algebraic problems with simple roots. To this end, a multi-step solver based on Newton’s method is utilized.
Haifa Bin Jebreen +2 more
doaj +1 more source
Potential energy landscape and robustness of a gene regulatory network: toggle switch. [PDF]
PLoS Computational Biology, 2007 Finding a multidimensional potential landscape is the key for addressing important global issues, such as the robustness of cellular networks. We have uncovered the underlying potential energy landscape of a simple gene regulatory network: a toggle ...
Keun-Young Kim, Jin Wang
doaj +1 more source