Engine prototype #13

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Vectornaut wants to merge 117 commits from engine-proto into main
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@ -11,7 +11,7 @@ using PolynomialRoots
# subspace of matrices whose entries vanish at each empty index of `target`
function proj_diff(target, attempt)
J, K, values = findnz(target)
result = zeros(size(target)...)
result = zeros(BigFloat, size(target)...)
for (j, k, val) in zip(J, K, values)
result[j, k] = val - attempt[j, k]
end
@ -65,7 +65,7 @@ guess = sqrt(0.5) * BigFloat[
steps = 600
line_search_max_steps = 100
init_stepsize = BigFloat(1)
step_shrink_factor = BigFloat(0.5)
step_shrink_factor = BigFloat(0.9)
target_improvement_factor = BigFloat(0.5)
# complete the gram matrix using gradient descent