This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

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Adam is widely used in deep learning as an adaptive optimization algorithm, but it struggles with convergence unless the hyperparameter β2 is adjusted based on the specific problem. Attempts to fix ...

Abstract: In order to solve the global optimization problem in engineering and management, Spectral conjugate gradient methods are used in this paper. By introducing the generalized quasi-Newton ...

Here you will find the guidelines used by Methods Hub for tutorials. If you are preparing a method, check the guidelines used by Methods Hub for methods. A tutorial is an instructional resource that ...

Interpreting gradient methods as fixed-point iterations, we provide a detailed analysis of those methods for minimizing convex objective functions. Due to their conceptual and algorithmic simplicity, ...

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1 Division of Science, School of Science and Engineering, Tokyo Denki University, Saitama, Japan. 2 Department of Physics and Mathematics, College of Science and Engineering, Aoyama Gakuin University, ...

ABSTRACT: In this paper, we present the numerical solution for the optimal control problem of monodomain modelwith Rogers-modified FitzHugh-Nagumo ion kinetic. The monodomain model, which is a ...