Nonlinear Numerical Optimization Technique Based on Genetic Algorithm for Inverse Problem.

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Nonlinear Numerical Optimization Technique Based on a Genetic Algorithm for Inverse Problems: Towards the Inference of Genetic Networks

Nonlinear systems, such as metabolic pathways and genetic networks have richly complex structures and the details of the mechanism at the molecular level that govern interactions among system components are generally not well known. Estimation of the interaction mechanisms among system components via experimentally observed dynamic responses (time courses) of some of the system components is ge...

Efficient Numerical Optimization Algorithm Based on Genetic Algorithm for Inverse Problem

We have developed an efficient algorithm based on the Genetic Algorithm(GA) for optimization of a model of a nonlinear system. Estimation of the interaction mechanisms among system components by using experimentally observed dynamic responses (timecourses) of some of the system components is generally referred to as “inverse problem”. The S-system, which belongs to power-law formalism, is one o...

Efficient Numerical Optimization Technique Based on Real-Coded Genetic Algorithm

Application Of Numerical Optimization Technique Based On Real-coded Genetic Algorithm To Inverse Problem In Biochemical Systems

Real-coded Genetic Algorithms (RCGA) attract attention as numerical optimization methods for nonlinear systems. One of the crossover operators for RCGA called unimodal normal distribution crossover (UNDX) has shown good performance in optimization of various functions including multi-modal ones and benchmark functions with epistasis among parameters (Ono and Kobayashi, 1997). The UNDX generates...