Lowering the Golden Ratio: The Impact on Golden Section Search Efficiency

AI Thread Summary
The discussion centers on comparing the efficiency of the golden section search and interval bisection search methods for optimizing the function y = x^2. It was observed that the golden section search required approximately twice as many iterations as the interval bisection search. However, adjusting the golden ratio from 0.618 to 0.5562 resulted in a reduction of iterations from 40 to 32, suggesting that a lower ratio can enhance the efficiency of the golden section search. The conversation raises questions about the reasons behind this improved performance and seeks to clarify the advantages of the golden section search over the interval bisection method, particularly in terms of its application for finding maxima or minima within a specified range. Additionally, inquiries are made regarding the specific range of x being analyzed and the extremes that need to be identified within that range.
Prinzmio
Messages
1
Reaction score
0
Currently my task is to count number of iterations of golden section search verus interval bisection search of a function y = x^2. Golden section search took about twice the number of iterations than interval bisection search.

If I lowered the golden ratio from 0.618 to 0.5562 , the number of iterations get improved, from 40 iterations to 32.

Could you please advise, why lowering golden ratio improves efficiency of golden section search? If lowering ratio means better performance, what is the advantage of Golden section search verus interval bisection search?
 
Technology news on Phys.org
A golden-section search is used to find a maximum or a minimum over a specified range.
Over what range of x are you searching?
What extreme is there to find in the range?
 
Thread 'Star maps using Blender'

Thread 'Star maps using Blender'

Blender just recently dropped a new version, 4.5(with 5.0 on the horizon), and within it was a new feature for which I immediately thought of a use for. The new feature was a .csv importer for Geometry nodes. Geometry nodes are a method of modelling that uses a node tree to create 3D models which offers more flexibility than straight modeling does. The .csv importer node allows you to bring in a .csv file and use the data in it to control aspects of your model. So for example, if you...
View full post »

Thread 'Who is responsible for the software when AI takes over programming?'

I tried a web search "the loss of programming ", and found an article saying that all aspects of writing, developing, and testing software programs will one day all be handled through artificial intelligence. One must wonder then, who is responsible. WHO is responsible for any problems, bugs, deficiencies, or whatever malfunctions which the programs make their users endure? Things may work wrong however the "wrong" happens. AI needs to fix the problems for the users. Any way to...
View full post »

Thread 'Could the reason why I can't select any kernels in VS Code be this error?'

I am trying to run an .ipynb file and have installed Miniconda as well as created an environment as such -conda create -n <env_name> python=3.7 ipykernel jupyter I am assuming this is successful as I can activate this environment via the anaconda prompt and following command -conda activate <env_name> Then I downloaded and installed VS code and I am trying to edit an .ipynb file. I want to select a kernel, via VS Code but when I press the button on the upper right corner I am greeted...
View full post »

Similar threads

Gradient descent, anything better than golden section line search
Replies
1
Views
4K
Is LCEVC the Solution for Efficient 8K Television Compression?
Replies
4
Views
2K
I Updates on the experiments X17
2
Replies
50
Views
9K
Writing: Input Wanted Generation Ship SFV Exodus: Revised Designs
2
Replies
52
Views
7K
New CRISPR-based tool for find-and-replace editing of DNA
Replies
2
Views
4K
Requesting suggestions for languages, libraries, and architectures for parallel (and sometimes non parallel) numerical and scientific computations
Replies
8
Views
4K
Blueshift + Classical Physics = Golden Ratio
Replies
3
Views
3K
Programs How good is this applied math program?
Replies
13
Views
3K
I Progress In Calculating The HLbL Contribution To Muon g-2
Replies
0
Views
2K
Was the Early Universe Truly Homogeneous?
Replies
23
Views
6K

Hot Threads

Recent Insights

Back
Top