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Merge pull request #91 from SciML/least_squares
Add a dispatch to SimpleNewtonRaphson for NNLS and SimpleGaussNewton
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using SimpleNonlinearSolve, LinearAlgebra, Test | ||
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true_function(x, θ) = @. θ[1] * exp(θ[2] * x) * cos(θ[3] * x + θ[4]) | ||
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θ_true = [1.0, 0.1, 2.0, 0.5] | ||
x = [-1.0, -0.5, 0.0, 0.5, 1.0] | ||
y_target = true_function(x, θ_true) | ||
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function loss_function(θ, p) | ||
ŷ = true_function(p, θ) | ||
return abs2.(ŷ .- y_target) | ||
end | ||
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θ_init = θ_true .+ 0.1 | ||
prob_oop = NonlinearLeastSquaresProblem{false}(loss_function, θ_init, x) | ||
sol = solve(prob_oop, SimpleNewtonRaphson()) | ||
sol = solve(prob_oop, SimpleGaussNewton()) | ||
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@test norm(sol.resid) < 1e-12 |
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