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SciMLBase.supports_opt_cache_interface(::LBFGS) = true | ||
SciMLBase.allowsbounds(::LBFGS) = true | ||
SciMLBase.requiresgradient(::LBFGS) = true | ||
SciMLBase.allowsconstraints(::LBFGS) = true | ||
SciMLBase.requiresconsjac(::LBFGS) = true | ||
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function task_message_to_string(task::Vector{UInt8}) | ||
return String(task) | ||
end | ||
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function __map_optimizer_args(cache::Optimization.OptimizationCache, opt::LBFGS; | ||
callback = nothing, | ||
maxiters::Union{Number, Nothing} = nothing, | ||
maxtime::Union{Number, Nothing} = nothing, | ||
abstol::Union{Number, Nothing} = nothing, | ||
reltol::Union{Number, Nothing} = nothing, | ||
verbose::Bool = false, | ||
kwargs...) | ||
if !isnothing(abstol) | ||
@warn "common abstol is currently not used by $(opt)" | ||
end | ||
if !isnothing(maxtime) | ||
@warn "common abstol is currently not used by $(opt)" | ||
end | ||
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mapped_args = (;) | ||
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if cache.lb !== nothing && cache.ub !== nothing | ||
mapped_args = (; mapped_args..., lb = cache.lb, ub = cache.ub) | ||
end | ||
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if !isnothing(maxiters) | ||
mapped_args = (; mapped_args..., maxiter = maxiters) | ||
end | ||
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if !isnothing(reltol) | ||
mapped_args = (; mapped_args..., pgtol = reltol) | ||
end | ||
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return mapped_args | ||
end | ||
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function SciMLBase.__solve(cache::OptimizationCache{ | ||
F, | ||
RC, | ||
LB, | ||
UB, | ||
LC, | ||
UC, | ||
S, | ||
O, | ||
D, | ||
P, | ||
C | ||
}) where { | ||
F, | ||
RC, | ||
LB, | ||
UB, | ||
LC, | ||
UC, | ||
S, | ||
O <: | ||
LBFGS, | ||
D, | ||
P, | ||
C | ||
} | ||
maxiters = Optimization._check_and_convert_maxiters(cache.solver_args.maxiters) | ||
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local x | ||
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solver_kwargs = __map_optimizer_args(cache, cache.opt; maxiters, cache.solver_args...) | ||
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if !isnothing(cache.f.cons) | ||
eq_inds = [cache.lcons[i] == cache.ucons[i] for i in eachindex(cache.lcons)] | ||
ineq_inds = (!).(eq_inds) | ||
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τ = cache.opt.τ | ||
γ = cache.opt.γ | ||
λmin = cache.opt.λmin | ||
λmax = cache.opt.λmax | ||
μmin = cache.opt.μmin | ||
μmax = cache.opt.μmax | ||
ϵ = cache.opt.ϵ | ||
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λ = zeros(eltype(cache.u0), sum(eq_inds)) | ||
μ = zeros(eltype(cache.u0), sum(ineq_inds)) | ||
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cons_tmp = zeros(eltype(cache.u0), length(cache.lcons)) | ||
cache.f.cons(cons_tmp, cache.u0) | ||
ρ = max(1e-6, min(10, 2 * (abs(cache.f(cache.u0, cache.p))) / norm(cons_tmp))) | ||
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_loss = function (θ) | ||
x = cache.f(θ, cache.p) | ||
cons_tmp .= zero(eltype(θ)) | ||
cache.f.cons(cons_tmp, θ) | ||
cons_tmp[eq_inds] .= cons_tmp[eq_inds] - cache.lcons[eq_inds] | ||
cons_tmp[ineq_inds] .= cons_tmp[ineq_inds] .- cache.ucons[ineq_inds] | ||
opt_state = Optimization.OptimizationState(u = θ, objective = x[1]) | ||
if cache.callback(opt_state, x...) | ||
error("Optimization halted by callback.") | ||
end | ||
return x[1] + sum(@. λ * cons_tmp[eq_inds] + ρ / 2 * (cons_tmp[eq_inds] .^ 2)) + | ||
1 / (2 * ρ) * sum((max.(Ref(0.0), μ .+ (ρ .* cons_tmp[ineq_inds]))) .^ 2) | ||
end | ||
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prev_eqcons = zero(λ) | ||
θ = cache.u0 | ||
β = max.(cons_tmp[ineq_inds], Ref(0.0)) | ||
prevβ = zero(β) | ||
eqidxs = [eq_inds[i] > 0 ? i : nothing for i in eachindex(ineq_inds)] | ||
ineqidxs = [ineq_inds[i] > 0 ? i : nothing for i in eachindex(ineq_inds)] | ||
eqidxs = eqidxs[eqidxs .!= nothing] | ||
ineqidxs = ineqidxs[ineqidxs .!= nothing] | ||
function aug_grad(G, θ) | ||
cache.f.grad(G, θ) | ||
if !isnothing(cache.f.cons_jac_prototype) | ||
J = Float64.(cache.f.cons_jac_prototype) | ||
else | ||
J = zeros((length(cache.lcons), length(θ))) | ||
end | ||
cache.f.cons_j(J, θ) | ||
__tmp = zero(cons_tmp) | ||
cache.f.cons(__tmp, θ) | ||
__tmp[eq_inds] .= __tmp[eq_inds] .- cache.lcons[eq_inds] | ||
__tmp[ineq_inds] .= __tmp[ineq_inds] .- cache.ucons[ineq_inds] | ||
G .+= sum( | ||
λ[i] .* J[idx, :] + ρ * (__tmp[idx] .* J[idx, :]) | ||
for (i, idx) in enumerate(eqidxs); | ||
init = zero(G)) #should be jvp | ||
G .+= sum( | ||
1 / ρ * (max.(Ref(0.0), μ[i] .+ (ρ .* __tmp[idx])) .* J[idx, :]) | ||
for (i, idx) in enumerate(ineqidxs); | ||
init = zero(G)) #should be jvp | ||
end | ||
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opt_ret = ReturnCode.MaxIters | ||
n = length(cache.u0) | ||
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sol = solve(....) | ||
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solver_kwargs = Base.structdiff(solver_kwargs, (; lb = nothing, ub = nothing)) | ||
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for i in 1:maxiters | ||
prev_eqcons .= cons_tmp[eq_inds] .- cache.lcons[eq_inds] | ||
prevβ .= copy(β) | ||
res = optimizer(_loss, aug_grad, θ, bounds; solver_kwargs..., | ||
m = cache.opt.m, pgtol = sqrt(ϵ), maxiter = maxiters / 100) | ||
# @show res[2] | ||
# @show res[1] | ||
# @show cons_tmp | ||
# @show λ | ||
# @show β | ||
# @show μ | ||
# @show ρ | ||
θ = res[2] | ||
cons_tmp .= 0.0 | ||
cache.f.cons(cons_tmp, θ) | ||
λ = max.(min.(λmax, λ .+ ρ * (cons_tmp[eq_inds] .- cache.lcons[eq_inds])), λmin) | ||
β = max.(cons_tmp[ineq_inds], -1 .* μ ./ ρ) | ||
μ = min.(μmax, max.(μ .+ ρ * cons_tmp[ineq_inds], μmin)) | ||
if max(norm(cons_tmp[eq_inds] .- cache.lcons[eq_inds], Inf), norm(β, Inf)) > | ||
τ * max(norm(prev_eqcons, Inf), norm(prevβ, Inf)) | ||
ρ = γ * ρ | ||
end | ||
if norm( | ||
(cons_tmp[eq_inds] .- cache.lcons[eq_inds]) ./ cons_tmp[eq_inds], Inf) < | ||
ϵ && norm(β, Inf) < ϵ | ||
opt_ret = ReturnCode.Success | ||
break | ||
end | ||
end | ||
end | ||
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stats = Optimization.OptimizationStats(; iterations = maxiters, | ||
time = 0.0, fevals = maxiters, gevals = maxiters) | ||
return SciMLBase.build_solution( | ||
cache, cache.opt, res[2], cache.f(res[2], cache.p)[1], | ||
stats = stats, retcode = opt_ret) | ||
end |