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docs/src/optimization_packages/ode.md

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@@ -51,6 +51,9 @@ You can also define a custom optimizer using the generic `ODEOptimizer(solver; d
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## DAE-based Optimizers
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!!! warn
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DAE-based optimizers are still experimental and a research project. Use with caution.
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In addition to ODE-based optimizers, OptimizationODE.jl provides optimizers for differential-algebraic equation (DAE) constrained problems:
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* `DAEMassMatrix()` — uses the Rodas5P solver (from OrdinaryDiffEq.jl) for DAE problems with a mass matrix formulation.

lib/OptimizationODE/Project.toml

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@@ -4,6 +4,7 @@ authors = ["Paras Puneet Singh <[email protected]>"]
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version = "0.1.1"
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[deps]
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DiffEqBase = "2b5f629d-d688-5b77-993f-72d75c75574e"
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ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
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Optimization = "7f7a1694-90dd-40f0-9382-eb1efda571ba"
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LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

lib/OptimizationODE/src/OptimizationODE.jl

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@@ -3,6 +3,7 @@ module OptimizationODE
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using Reexport
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@reexport using Optimization, SciMLBase
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using LinearAlgebra, ForwardDiff
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using DiffEqBase
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using NonlinearSolve
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using OrdinaryDiffEq, SteadyStateDiffEq
@@ -225,7 +226,7 @@ function solve_dae_implicit(cache, dt, maxit, u0, p)
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if maxit !== nothing; solve_kwargs[:maxiters] = maxit; end
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if dt !== nothing; solve_kwargs[:dt] = dt; end
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solve_kwargs[:initializealg] = ShampineCollocationInit()
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solve_kwargs[:initializealg] = DiffEqBase.ShampineCollocationInit()
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sol = solve(prob, cache.opt.solver; solve_kwargs...)
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u_ext = sol.u

lib/OptimizationODE/test/runtests.jl

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@@ -98,31 +98,8 @@ end
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@testset "Constrained Optimization - DAE Optimizers" begin
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@testset "Equality Constrained Optimization" begin
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# Minimize f(x) = x₁² + x₂²
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# Subject to x₁ - x₂ = 1
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function constrained_objective(x, p)
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return x[1]^2 + x[2]^2
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end
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function constrained_objective_grad!(g, x, p)
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g .= 2 .* x
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return nothing
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end
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# Constraint: x₁ - x₂ - p[1] = 0 (p[1] = 1 → x₁ - x₂ = 1)
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function constraint_func(x, p)
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return x[1] - x[2] - p[1]
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end
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function constraint_jac!(J, x)
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J[1, 1] = 1.0
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J[1, 2] = -1.0
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return nothing
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end
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x0 = [1.0, 1.0] # reasonable initial guess
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p = [1.0] # enforce x₁ - x₂ = 1
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x0 = [1.0, 1.0] # reasonable initial guess
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p = [1.0] # enforce x₁ - x₂ = 1
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optf = OptimizationFunction(constrained_objective;
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grad = constrained_objective_grad!,
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@test sol.retcode == ReturnCode.Success || sol.retcode == ReturnCode.Default
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@test isapprox(sol.u[1] + sol.u[2], 1.0; atol = 1e-2)
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@test_broken isapprox(sol.u, [0.5, 0.5]; atol = 1e-2)
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@test_broken isapprox(sol.u, [0.5, -0.5]; atol = 1e-2)
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end
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@testset "Equality Constrained - Fully Implicit Method" begin
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sol = solve(prob, opt; dt=0.01, maxiters=1_000_000)
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@test sol.retcode == ReturnCode.Success || sol.retcode == ReturnCode.Default
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@test isapprox(sol.u[1] - sol.u[2], 1.0; atol = 1e-2)
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@test isapprox(sol.u, [0.5, -0.5]; atol = 1e-2)
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@test isapprox(sol.u[1] + sol.u[2], 1.0; atol = 1e-2)
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@test_broken isapprox(sol.u, [0.5, -0.5]; atol = 1e-2)
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end
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end
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end
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prob = OptimizationProblem(optf, x0, p)
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opt = DAEMassMatrix()
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sol = solve(prob, opt; dt=0.001, maxiters=50000)
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@test_throws Any solve(prob, opt; dt=0.001, maxiters=50000)
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@test sol.retcode == ReturnCode.Success || sol.retcode == ReturnCode.Default
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@test isapprox(sol.u, [0.0, 0.0], atol=1e-1)
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#@test sol.retcode == ReturnCode.Success || sol.retcode == ReturnCode.Default
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#@test isapprox(sol.u, [0.0, 0.0], atol=1e-1)
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end
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@testset "Single Variable Optimization" begin

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