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Use Newton's method for polishing

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This commit is contained in:
Aaron Fenyes 2024-07-11 13:43:52 -07:00
parent d538cbf716
commit 3910b9f740
4 changed files with 103 additions and 18 deletions
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8
engine-proto/gram-test/sphere-in-tetrahedron.jl
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@ -1,8 +1,6 @@
include("Engine.jl")
using SparseArrays
using AbstractAlgebra
using PolynomialRoots
using Random
# initialize the partial gram matrix for a sphere inscribed in a regular
@ -35,10 +33,10 @@ guess = sqrt(1/BigFloat(3)) * BigFloat[
1 1 1 1 1
] + 0.2*Engine.rand_on_shell(fill(BigFloat(-1), 5))
# complete the gram matrix using gradient descent
L, history = Engine.realize_gram(gram, guess)
# complete the gram matrix using Newton's method
L, history = Engine.realize_gram_newton(gram, guess)
completed_gram = L'*Engine.Q*L
println("Completed Gram matrix:\n")
display(completed_gram)
println("\nSteps: ", size(history.stepsize, 1))
println("\nSteps: ", size(history.scaled_loss, 1))
println("Loss: ", history.scaled_loss[end], "\n")