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Code Issues 9 Pull Requests 1 Actions Projects Releases 2 Wiki Activity
87 Commits 7 Branches 2 Tags 954 KiB
828498b3de
Commit Graph

68 Commits

Author SHA1 Message Date
Aaron Fenyes
828498b3de Add sphere and plane utilities to engine 2024-07-08 12:56:14 -07:00
Aaron Fenyes
736ac50b07 Test gradient descent for sphere in tetrahedron 2024-07-07 17:58:55 -07:00
Aaron Fenyes
ea354b6c2b Randomize guess in gradient descent test 
Randomly perturb the pre-solved part of the guess, and randomly choose
the unsolved part.
 2024-07-07 17:56:12 -07:00
Aaron Fenyes
d39244d308 Host Ganja.js locally 2024-07-06 21:35:09 -07:00
Aaron Fenyes
7e94fef19e Improve random vector generator 2024-07-06 21:32:43 -07:00
Aaron Fenyes
abc53b4705 Sketch random vector generator 
This needs to be rewritten: it can fail at generating spacelike vectors.
 2024-07-02 17:16:31 -07:00
Aaron Fenyes
17fefff61e Name gradient descent test more specifically 2024-07-02 17:16:19 -07:00
Aaron Fenyes
133519cacb Encapsulate gradient descent code 
The completed gram matrix from this commit matches the one from commit
e7dde58 to six decimal places.
 2024-07-02 15:02:59 -07:00
Aaron Fenyes
e7dde5800c Do gradient descent entirely in BigFloat 
The previos version accidentally returned steps in Float64.
 2024-07-02 12:35:12 -07:00
Aaron Fenyes
242d630cc6 Get Ganja.js to display planes 2024-06-27 21:49:53 -07:00
Aaron Fenyes
8eb1ebb8d2 Merge branch 'ganja' into gram 2024-06-26 15:57:07 -07:00
Aaron Fenyes
05a824834d Let visibility controls scroll 2024-06-26 15:56:51 -07:00
Aaron Fenyes
a113f33635 Merge branch 'ganja' into gram 
Get visibility controls.
 2024-06-26 15:52:20 -07:00
Aaron Fenyes
5ea32ac53c Streamline visibility controls 2024-06-26 15:51:57 -07:00
Aaron Fenyes
3eb4fc6c91 Add element visibility controls 2024-06-26 15:24:31 -07:00
Aaron Fenyes
7aaf134a36 Size the viewer window automatically 2024-06-26 13:15:54 -07:00
Aaron Fenyes
c933e07312 Switch to Ganja.js basis ordering 2024-06-26 11:39:34 -07:00
Aaron Fenyes
2b6c4f4720 Avoid naming conflict with identity transformation 2024-06-26 11:28:47 -07:00
Aaron Fenyes
5aadfecf6c Merge branch 'ganja' into gram 
Visualize low-rank factorization results.
 2024-06-26 11:12:24 -07:00
Aaron Fenyes
4a28a47520 Update namespace of AbstractAlgebra.Rationals 2024-06-26 01:06:27 -07:00
Aaron Fenyes
a3b1f4920c Build construction viewer module 2024-06-26 00:41:21 -07:00
Aaron Fenyes
665cb30ce0 Correct indentation of CSS 2024-06-25 23:31:00 -07:00
Aaron Fenyes
182b5bb9f6 Generate palette automatically 2024-06-25 17:57:16 -07:00
Aaron Fenyes
b7b5b9386b Load elements from Julia into Ganja.js 2024-06-25 16:30:19 -07:00
Aaron Fenyes
06a9dda5bb Play with reflections 
Try configuration of five tangent spheres.
 2024-06-25 13:40:40 -07:00
Aaron Fenyes
69a9baa8ee Add live updates to Ganja.js visualization 2024-06-25 03:11:50 -07:00
Aaron Fenyes
3b10c95d5f Clean up examples 
Declare JavaScript variables. Revise Julia comments to match new code.
 2024-06-25 02:58:39 -07:00
Aaron Fenyes
3c34481519 Get familiar with Ganja.js inline syntax 2024-06-25 01:54:01 -07:00
Aaron Fenyes
d1ce91d2aa Get a Ganja.js visualization running in Blink 2024-06-24 19:37:57 -07:00
Aaron Fenyes
58a5c38e62 Try numerical low-rank factorization 
The best technique I've found so far is the homemade gradient descent
routine in `descent-test.jl`.
 2024-05-30 00:36:03 -07:00
Aaron Fenyes
ef33b8ee10 Correct signature 2024-03-01 13:26:20 -05:00
Aaron Fenyes
717e5a6200 Extend Gram matrix automatically 
The signature of the Minkowski form on the subspace spanned by the Gram
matrix should tell us what the big Gram matrix has to look like
 2024-02-21 03:00:06 -05:00
Aaron Fenyes
16826cf07c Try out the Gram matrix approach 2024-02-20 22:35:24 -05:00
Aaron Fenyes
3170a933e4 Clean up example of three mutually tangent spheres 2024-02-15 17:16:37 -08:00
Aaron Fenyes
f2000e5731 Test different sign patterns for cosines 
It seems like there are real solutions if and only if the product of the
cosines is positive.
 2024-02-15 16:25:09 -08:00
Aaron Fenyes
ba365174d3 Find real solutions for three mutually tangent spheres 
I'm not sure why the solver wasn't working before. It might've been just
an unlucky random number draw.
 2024-02-15 16:16:06 -08:00
Aaron Fenyes
ae5db0f9ea Make results reproducible 2024-02-15 16:00:46 -08:00
Aaron Fenyes
8d8bc9162c Store elements in arrays to keep order stable 
This seems to restore reproducibility.
 2024-02-15 15:42:26 -08:00
Aaron Fenyes
291d5c8ff6 Study mutually tangent spheres with two fixed 2024-02-15 13:28:01 -08:00
Aaron Fenyes
e41bcc7e13 Explore the performance wall 
Three points on two spheres is too much.
 2024-02-13 04:02:14 -05:00
Aaron Fenyes
31d5e7e864 Play with two points on two spheres 
Guess conditions that make the scaling constraint impossible to satisfy.
 2024-02-12 22:48:16 -05:00
Aaron Fenyes
a450f701fb Try displaying a chain of spheres 
For three mutually tangent spheres, I couldn't find real solutions.
 2024-02-12 21:14:07 -05:00
Aaron Fenyes
6cf07dc6a1 Evaluate and display elements 2024-02-12 20:34:12 -05:00
Aaron Fenyes
1f173708eb Move random cut routine into engine 2024-02-10 17:39:26 -05:00
Aaron Fenyes
6f18d4efcc Test lots of uniformly distributed hyperplanes 2024-02-10 15:10:48 -05:00
Aaron Fenyes
621c4c5776 Try uniformly distributed hyperplane orientations 
Unit normals are uniformly distributed over the sphere.
 2024-02-10 15:02:26 -05:00
Aaron Fenyes
b3b7c2026d Separate the algebraic and numerical parts of the engine 2024-02-10 14:50:50 -05:00
Aaron Fenyes
af1d31f6e6 Test a scale constraint 
In all but a few cases (for example, a single point on a plane), we
should be able to us the radius-coradius boost symmetry to make the
average co-radius—representing the "overall scale"—roughly one.
 2024-02-10 14:21:52 -05:00
Aaron Fenyes
8e33987f59 Systematically try out different cut planes 2024-02-10 13:46:01 -05:00
Aaron Fenyes
06872a04af Say how many sample solutions we found 2024-02-10 01:06:06 -05:00