optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange
Por um escritor misterioso
Last updated 01 agosto 2024
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I have a function,
$$f(\mathbf{x})=x_1^2+4x_2^2-4x_1-8x_2,$$
which can also be expressed as
$$f(\mathbf{x})=(x_1-2)^2+4(x_2-1)^2-8.$$
I've deduced the minimizer $\mathbf{x^*}$ as $(2,1)$ with $f^*
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://www.ruder.io/content/images/2016/09/loss_function_image_tumblr.png)
An overview of gradient descent optimization algorithms
Solved I. Solve the following utility maximization problem
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://media.springernature.com/m685/springer-static/image/art%3A10.1007%2Fs11590-022-01867-9/MediaObjects/11590_2022_1867_Fig1_HTML.png)
A link between the steepest descent method and fixed-point iterations
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://www.mdpi.com/mathematics/mathematics-11-00693/article_deploy/html/images/mathematics-11-00693-g001.png)
Mathematics, Free Full-Text
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://media.cheggcdn.com/media/e3d/e3d1f623-744c-40a6-aa24-a01e3925ffae/phpODd7We.png)
Gradient Descent Methods . Problem 1 (70 points): 1.
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://media.springernature.com/lw685/springer-static/image/art%3A10.1007%2Fs10957-020-01785-9/MediaObjects/10957_2020_1785_Fig3_HTML.png)
Accelerated Diagonal Steepest Descent Method for Unconstrained Multiobjective Optimization
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://media.springernature.com/full/springer-static/image/art%3A10.1038%2Fs41598-023-36628-w/MediaObjects/41598_2023_36628_Fig1_HTML.png)
Fast gradient algorithm for complex ICA and its application to the MIMO systems
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://i.stack.imgur.com/0tirm.png)
matrix - Gradient Descent: thetas not converging - Stack Overflow
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://media.springernature.com/full/springer-static/image/art%3A10.1038%2Fs41598-023-32112-7/MediaObjects/41598_2023_32112_Fig1_HTML.png)
Stochastic gradient descent for optimization for nuclear systems
Solved 6. [Convergence with Diminishing Step-Size] Consider
Finite Difference Interpolation for Reduction of Grid-Related Errors in Real-Space Pseudopotential Density Functional Theory
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://media.springernature.com/lw685/springer-static/image/chp%3A10.1007%2F978-981-15-0894-3_6/MediaObjects/487845_1_En_6_Fig1_HTML.png)
Steepest Descent Method
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://media.cheggcdn.com/media/1f7/1f76da9d-3e20-4c31-a806-b41db3faddd5/phpuOEzqS.png)
4. (Steepest Descent) Suppose we seek to minimize
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://media.springernature.com/full/springer-static/image/art%3A10.1038%2Fs41534-022-00592-6/MediaObjects/41534_2022_592_Fig1_HTML.png)
Stochastic gradient line Bayesian optimization for efficient noise-robust optimization of parameterized quantum circuits
![optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange](https://media.springernature.com/full/springer-static/image/art%3A10.1038%2Fs41586-022-04992-8/MediaObjects/41586_2022_4992_Fig1_HTML.png)
A compute-in-memory chip based on resistive random-access memory
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