Generate a point cloud named `Incremental Lattice Design` - MATLAB Cody - MATLAB Central

Problem 59581. Generate a point cloud named `Incremental Lattice Design`

Difficulty:
(72)
Rate
The input is the number of dimensions M and the parameter H.
The output is a point cloud W involving N points.
W is N uniformly distributed points with M dimensions on the unit hyperplane.
The relationship between M, H and point cloud size N is as follows.
In the case of M=3 dimensions, the results for cases where H is 1 to 6 are as follows.
Ex)
  • [W,N] = ILD(M=3,H=1) -> W = [1/3 1/3 1/3; 0 0 1; 0 1 0; 1 0 0]; N = 4;
  • [W,N] = ILD(M=4,H=2) -> W = [0 0 0 1; 0 0 1/2 1/2; 0 0 1 0; 0 1/2 0 1/2; 0 1/2 1/2 0; 0 1 0 0; 1/8 1/8 1/8 5/8; 1/8 1/8 5/8 1/8; 1/8 5/8 1/8 1/8; 1/4 1/4 1/4 1/4; 1/2 0 0 1/2; 1/2 0 1/2 0; 1/2 1/2 0 0; 5/8 1/8 1/8 1/8; 1 0 0 0]; N = 15;
Reference
  • https://github.com/tomtkg/ILD
  • Tomoaki Takagi, Keiki Takadama, and Hiroyuki Sato, Incremental Lattice Design of Weight Vector Set, Proc. of the 2020 Genetic and Evolutionary Computation Conference (GECCO2020), pp. 1486-1494, 2020. DOI.
Solve

Solution Stats

19.05% Correct | 80.95% Incorrect
Last Solution submitted on Apr 26, 2025

Problem Comments

Solution Comments

Show comments
LLMs with MATLAB updated to support the latest OpenAI Models
Large Languge model with MATLAB, a free add-on that lets you access...
Toshiaki Takeuchi in Generative AI
2
4
View Post

Problem Recent Solvers6

Suggested Problems

More from this Author9

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Go to top of page