JuMP/InfiniteOpt dynamic optimization interface issues with parameter estimation

[SebastianM-C]

Describe the bug 🐞

I'm trying to use the JuMP/InfiniteOpt dynamic optimization interface to solve a parameter estimation problem, where I have constraints on the solution.

I tried both JuMPDynamicOptProblem and InfiniteOptDynamicOptProblem, but neither worked. In the case of JuMPDynamicOptProblem I do get a solution, but plotting that shows unexpected behavior and getting the parameters from the solution just returns the default values. In the case of InfiniteOptDynamicOptProblem, it just errors.

Expected behavior

Both JuMPDynamicOptProblemand InfiniteOptDynamicOptProblem should work and find the correct parameters.

Minimal Reproducible Example 👇

using ModelingToolkit
using ModelingToolkit: D_nounits as D, t_nounits as t
using OrdinaryDiffEqTsit5
import InfiniteOpt
using Ipopt
using DiffEqDevTools
using Plots

@parameters α = 1.5 β = 1.0 γ = 3.0 δ = 1.0
@variables x(t) y(t)

eqs = [D(x) ~ α * x - β * x * y,
    D(y) ~ -γ * y + δ * x * y]

@mtkcompile sys0 = System(eqs, t)
tspan = (0.0, 1.0)
u0map = [x => 4.0, y => 2.0]
parammap = [α => 1.8, β => 1.0, γ => 3.5, δ => 1.0]

oprob = ODEProblem(sys0, [u0map; parammap], tspan)
osol = solve(oprob, Tsit5(), dt=0.01)
ts = range(tspan..., length=10)
data = osol(ts, idxs=x).u

costs = [EvalAt(t)(x) for t in ts]
consolidate(u, sub) = sum(abs2.(u - data))

@mtkcompile sys = System(eqs, t; costs, consolidate)

jprob = JuMPDynamicOptProblem(sys, u0map, tspan; dt=1 / 9)
jsol = solve(jprob, JuMPCollocation(Ipopt.Optimizer, constructRK4()))

plot(jsol.sol)
jsol.sol.ps # not changed

iprob = InfiniteOptDynamicOptProblem(sys, u0map, tspan; dt=1 / 9)
isol = solve(iprob, InfiniteOptCollocation(Ipopt.Optimizer))

Error & Stacktrace ⚠️

For JuMPDynamicOptProblem, doing plot(jsol.sol) gives

and for InfiniteOptDynamicOptProblem, I get

┌ Warning: No unbound inputs were found in system.
└ @ ModelingToolkit ~/.julia/packages/ModelingToolkit/H1QXB/src/inputoutput.jl:198
ERROR: MethodError: no method matching *(::SymbolicUtils.BasicSymbolic{Real}, ::InfiniteOpt.GeneralVariableRef)
The function `*` exists, but no method is defined for this combination of argument types.

Closest candidates are:
  *(::Any, ::Any, ::Any, ::Any...)
   @ Base operators.jl:596
  *(::Union{Num, SymbolicUtils.Symbolic}, ::Unitful.AbstractQuantity)
   @ ModelingToolkit ~/.julia/packages/ModelingToolkit/H1QXB/src/systems/validation.jl:12
  *(::SymbolicUtils.BasicSymbolic{<:Number}, ::Num)
   @ Symbolics ~/.julia/packages/SymbolicUtils/N76BL/src/methods.jl:66
  ...

Stacktrace:
 [1] add_equational_constraints!(model::MTKInfiniteOptExt.InfiniteOptModel, sys::System, pmap::Dict{…}, tspan::Tuple{…})
   @ ModelingToolkit ~/.julia/packages/ModelingToolkit/H1QXB/src/systems/optimal_control_interface.jl:420
 [2] InfiniteOptDynamicOptProblem(sys::System, op::Vector{…}, tspan::Tuple{…}; dt::Float64, steps::Nothing, guesses::Dict{…}, kwargs::@Kwargs{})
   @ MTKInfiniteOptExt ~/.julia/packages/ModelingToolkit/H1QXB/ext/MTKInfiniteOptExt.jl:98
 [3] top-level scope
   @ ~/dev/bvp/mtk.jl:88
Some type information was truncated. Use `show(err)` to see complete types.

Environment (please complete the following information):

• Output of using Pkg; Pkg.status()

(bvp) pkg> st
Status `~/dev/bvp/Project.toml`
  [56b672f2] BoundaryValueDiffEqCore v1.11.1 `https://github.com/SciML/BoundaryValueDiffEq.jl.git:lib/BoundaryValueDiffEqCore#master`
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.9.0 `https://github.com/SciML/BoundaryValueDiffEq.jl.git:lib/BoundaryValueDiffEqMIRK#master`
  [ed55bfe0] BoundaryValueDiffEqShooting v1.9.0 `https://github.com/SciML/BoundaryValueDiffEq.jl.git:lib/BoundaryValueDiffEqShooting#master`
  [f3b72e0c] DiffEqDevTools v2.48.0
  [20393b10] InfiniteOpt v0.5.9
  [b6b21f68] Ipopt v1.11.0
  [961ee093] ModelingToolkit v10.22.0
  [50262376] OrdinaryDiffEqDefault v1.8.0
  [b1df2697] OrdinaryDiffEqTsit5 v1.5.0
  [91a5bcdd] Plots v1.41.1
  [0bca4576] SciMLBase v2.120.0

• Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)

Status `~/dev/bvp/Manifest.toml`
  [47edcb42] ADTypes v1.18.0
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.42
  [79e6a3ab] Adapt v4.3.0
  [66dad0bd] AliasTables v1.1.3
  [ec485272] ArnoldiMethod v0.4.0
  [4fba245c] ArrayInterface v7.20.0
  [4c555306] ArrayLayouts v1.11.2
  [aae01518] BandedMatrices v1.9.4
  [6e4b80f9] BenchmarkTools v1.6.0
  [e2ed5e7c] Bijections v0.2.2
  [d1d4a3ce] BitFlags v0.1.9
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [8e7c35d0] BlockArrays v1.7.2
  [56b672f2] BoundaryValueDiffEqCore v1.11.1 `https://github.com/SciML/BoundaryValueDiffEq.jl.git:lib/BoundaryValueDiffEqCore#master`
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.9.0 `https://github.com/SciML/BoundaryValueDiffEq.jl.git:lib/BoundaryValueDiffEqMIRK#master`
  [ed55bfe0] BoundaryValueDiffEqShooting v1.9.0 `https://github.com/SciML/BoundaryValueDiffEq.jl.git:lib/BoundaryValueDiffEqShooting#master`
  [70df07ce] BracketingNonlinearSolve v1.4.0
  [2a0fbf3d] CPUSummary v0.2.7
  [d360d2e6] ChainRulesCore v1.26.0
  [fb6a15b2] CloseOpenIntervals v0.1.13
  [523fee87] CodecBzip2 v0.8.5
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.31.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
⌅ [861a8166] Combinatorics v1.0.2
  [a80b9123] CommonMark v0.9.1
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.18.0
  [b152e2b5] CompositeTypes v0.1.4
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.5.0
  [187b0558] ConstructionBase v1.6.0
  [d38c429a] Contour v0.6.3
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.16.0
⌅ [864edb3b] DataStructures v0.18.22
  [e2d170a0] DataValueInterfaces v1.0.0
  [8bb1440f] DelimitedFiles v1.9.1
  [2b5f629d] DiffEqBase v6.190.2
  [459566f4] DiffEqCallbacks v4.9.0
  [f3b72e0c] DiffEqDevTools v2.48.0
  [77a26b50] DiffEqNoiseProcess v5.24.1
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [a0c0ee7d] DifferentiationInterface v0.7.7
  [8d63f2c5] DispatchDoctor v0.4.26
  [b4f34e82] Distances v0.10.12
  [31c24e10] Distributions v0.25.120
  [ffbed154] DocStringExtensions v0.9.5
  [5b8099bc] DomainSets v0.7.16
⌃ [7c1d4256] DynamicPolynomials v0.6.3
  [06fc5a27] DynamicQuantities v1.10.0
  [4e289a0a] EnumX v1.0.5
  [f151be2c] EnzymeCore v0.8.13
  [460bff9d] ExceptionUnwrapping v0.1.11
  [e2ba6199] ExprTools v0.1.10
  [55351af7] ExproniconLite v0.10.14
  [c87230d0] FFMPEG v0.4.4
  [9d29842c] FastAlmostBandedMatrices v0.1.5
  [7034ab61] FastBroadcast v0.3.5
  [9aa1b823] FastClosures v0.3.2
  [442a2c76] FastGaussQuadrature v1.0.2
  [a4df4552] FastPower v1.1.3
  [1a297f60] FillArrays v1.14.0
  [64ca27bc] FindFirstFunctions v1.4.2
  [6a86dc24] FiniteDiff v2.28.1
  [53c48c17] FixedPointNumbers v0.8.5
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v1.2.1
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [d9f16b24] Functors v0.5.2
  [46192b85] GPUArraysCore v0.2.0
  [28b8d3ca] GR v0.73.17
  [c27321d9] Glob v1.3.1
  [86223c79] Graphs v1.13.1
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.17
  [34004b35] HypergeometricFunctions v0.3.28
  [615f187c] IfElse v0.1.1
  [3263718b] ImplicitDiscreteSolve v1.2.0
  [20393b10] InfiniteOpt v0.5.9
  [d25df0c9] Inflate v0.1.5
  [18e54dd8] IntegerMathUtils v0.1.3
  [8197267c] IntervalSets v0.7.11
  [3587e190] InverseFunctions v0.1.17
  [b6b21f68] Ipopt v1.11.0
  [92d709cd] IrrationalConstants v0.2.4
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.11
  [692b3bcd] JLLWrappers v1.7.1
  [682c06a0] JSON v0.21.4
  [0f8b85d8] JSON3 v1.14.3
  [ae98c720] Jieko v0.2.1
  [4076af6c] JuMP v1.29.1
  [98e50ef6] JuliaFormatter v2.1.6
⌅ [70703baa] JuliaSyntax v0.4.10
  [ccbc3e58] JumpProcesses v9.19.1
  [ba0b0d4f] Krylov v0.10.2
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.10
  [10f19ff3] LayoutPointers v0.1.17
  [5078a376] LazyArrays v2.6.3
  [1d6d02ad] LeftChildRightSiblingTrees v0.2.1
  [87fe0de2] LineSearch v0.1.4
  [d3d80556] LineSearches v7.4.0
  [7ed4a6bd] LinearSolve v3.40.1
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
  [d8e11817] MLStyle v0.4.17
  [1914dd2f] MacroTools v0.5.16
  [d125e4d3] ManualMemory v0.1.8
  [b8f27783] MathOptInterface v1.45.0
  [a3b82374] MatrixFactorizations v3.0.1
  [bb5d69b7] MaybeInplace v0.1.4
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [e1d29d7a] Missings v1.2.0
  [961ee093] ModelingToolkit v10.22.0
  [2e0e35c7] Moshi v0.3.7
  [46d2c3a1] MuladdMacro v0.2.4
⌃ [102ac46a] MultivariatePolynomials v0.5.9
  [d8a4904e] MutableArithmetics v1.6.5
  [d41bc354] NLSolversBase v7.10.0
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.1.3
  [8913a72c] NonlinearSolve v4.11.0
  [be0214bd] NonlinearSolveBase v1.16.1
  [5959db7a] NonlinearSolveFirstOrder v1.8.0
  [9a2c21bd] NonlinearSolveQuasiNewton v1.9.0
  [26075421] NonlinearSolveSpectralMethods v1.4.0
  [6fe1bfb0] OffsetArrays v1.17.0
  [4d8831e6] OpenSSL v1.5.0
  [429524aa] Optim v1.13.2
  [bac558e1] OrderedCollections v1.8.1
  [6ad6398a] OrdinaryDiffEqBDF v1.10.1
  [bbf590c4] OrdinaryDiffEqCore v1.34.0
  [50262376] OrdinaryDiffEqDefault v1.8.0
  [4302a76b] OrdinaryDiffEqDifferentiation v1.16.1
  [127b3ac7] OrdinaryDiffEqNonlinearSolve v1.14.1
  [43230ef6] OrdinaryDiffEqRosenbrock v1.18.1
  [2d112036] OrdinaryDiffEqSDIRK v1.7.0
  [b1df2697] OrdinaryDiffEqTsit5 v1.5.0
  [79d7bb75] OrdinaryDiffEqVerner v1.6.0
  [90014a1f] PDMats v0.11.35
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.3
  [ccf2f8ad] PlotThemes v3.3.0
  [995b91a9] PlotUtils v1.4.3
  [91a5bcdd] Plots v1.41.1
  [e409e4f3] PoissonRandom v0.4.6
  [f517fe37] Polyester v0.7.18
  [1d0040c9] PolyesterWeave v0.2.2
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.34
⌅ [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.5.0
  [27ebfcd6] Primes v0.5.7
  [43287f4e] PtrArrays v1.3.0
  [1fd47b50] QuadGK v2.11.2
  [74087812] Random123 v1.7.1
  [e6cf234a] RandomNumbers v1.6.0
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
  [731186ca] RecursiveArrayTools v3.37.1
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.1
  [ae5879a3] ResettableStacks v1.1.1
  [79098fc4] Rmath v0.8.0
  [47965b36] RootedTrees v2.23.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.15
  [9dfe8606] SCCNonlinearSolve v1.5.0
  [94e857df] SIMDTypes v0.1.0
  [0bca4576] SciMLBase v2.120.0
  [19f34311] SciMLJacobianOperators v0.1.11
  [c0aeaf25] SciMLOperators v1.7.2
  [431bcebd] SciMLPublic v1.0.0
  [53ae85a6] SciMLStructures v1.7.0
  [6c6a2e73] Scratch v1.3.0
  [efcf1570] Setfield v1.1.2
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.2.0
  [727e6d20] SimpleNonlinearSolve v2.8.0
  [699a6c99] SimpleTraits v0.9.5
  [ce78b400] SimpleUnPack v1.1.0
  [a2af1166] SortingAlgorithms v1.2.2
  [9f842d2f] SparseConnectivityTracer v1.1.0
  [0a514795] SparseMatrixColorings v0.4.21
  [276daf66] SpecialFunctions v2.5.1
  [860ef19b] StableRNGs v1.0.3
  [aedffcd0] Static v1.2.0
  [0d7ed370] StaticArrayInterface v1.8.0
  [90137ffa] StaticArrays v1.9.15
  [1e83bf80] StaticArraysCore v1.4.3
  [10745b16] Statistics v1.11.1
  [82ae8749] StatsAPI v1.7.1
  [2913bbd2] StatsBase v0.34.6
  [4c63d2b9] StatsFuns v1.5.0
  [7792a7ef] StrideArraysCore v0.5.8
  [09ab397b] StructArrays v0.7.1
  [856f2bd8] StructTypes v1.11.0
  [2efcf032] SymbolicIndexingInterface v0.3.44
  [19f23fe9] SymbolicLimits v0.2.3
  [d1185830] SymbolicUtils v3.32.0
  [0c5d862f] Symbolics v6.55.0
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.12.1
  [ed4db957] TaskLocalValues v0.1.3
  [62fd8b95] TensorCore v0.1.1
  [8ea1fca8] TermInterface v2.0.0
  [1c621080] TestItems v1.0.0
  [8290d209] ThreadingUtilities v0.5.5
  [a759f4b9] TimerOutputs v0.5.29
  [3bb67fe8] TranscodingStreams v0.11.3
  [410a4b4d] Tricks v0.1.12
  [781d530d] TruncatedStacktraces v1.4.0
  [5c2747f8] URIs v1.6.1
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.25.0
  [a7c27f48] Unityper v0.1.6
  [41fe7b60] Unzip v0.2.0
  [ae81ac8f] ASL_jll v0.1.3+0
  [6e34b625] Bzip2_jll v1.0.9+0
  [83423d85] Cairo_jll v1.18.5+0
  [ee1fde0b] Dbus_jll v1.16.2+0
  [2702e6a9] EpollShim_jll v0.0.20230411+1
  [2e619515] Expat_jll v2.7.1+0
  [b22a6f82] FFMPEG_jll v7.1.1+0
  [a3f928ae] Fontconfig_jll v2.17.1+0
  [d7e528f0] FreeType2_jll v2.13.4+0
  [559328eb] FriBidi_jll v1.0.17+0
  [0656b61e] GLFW_jll v3.4.0+2
  [d2c73de3] GR_jll v0.73.17+0
  [b0724c58] GettextRuntime_jll v0.22.4+0
  [61579ee1] Ghostscript_jll v9.55.1+0
  [7746bdde] Glib_jll v2.86.0+0
  [3b182d85] Graphite2_jll v1.3.15+0
  [2e76f6c2] HarfBuzz_jll v8.5.1+0
  [e33a78d0] Hwloc_jll v2.12.2+0
  [1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
  [9cc047cb] Ipopt_jll v300.1400.1900+0
  [aacddb02] JpegTurbo_jll v3.1.3+0
  [c1c5ebd0] LAME_jll v3.100.3+0
  [88015f11] LERC_jll v4.0.1+0
  [1d63c593] LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] LZO_jll v2.10.3+0
  [e9f186c6] Libffi_jll v3.4.7+0
  [7e76a0d4] Libglvnd_jll v1.7.1+1
  [94ce4f54] Libiconv_jll v1.18.0+0
  [4b2f31a3] Libmount_jll v2.41.1+0
  [89763e89] Libtiff_jll v4.7.1+0
  [38a345b3] Libuuid_jll v2.41.1+0
  [d00139f3] METIS_jll v5.1.3+0
  [856f044c] MKL_jll v2025.2.0+0
  [d7ed1dd3] MUMPS_seq_jll v500.800.100+0
  [e7412a2a] Ogg_jll v1.3.6+0
  [656ef2d0] OpenBLAS32_jll v0.3.29+0
  [458c3c95] OpenSSL_jll v3.5.2+0
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [91d4177d] Opus_jll v1.5.2+0
  [36c8627f] Pango_jll v1.56.4+0
⌅ [30392449] Pixman_jll v0.44.2+0
  [c0090381] Qt6Base_jll v6.8.2+1
  [629bc702] Qt6Declarative_jll v6.8.2+1
  [ce943373] Qt6ShaderTools_jll v6.8.2+1
  [e99dba38] Qt6Wayland_jll v6.8.2+1
  [f50d1b31] Rmath_jll v0.5.1+0
⌅ [319450e9] SPRAL_jll v2025.5.20+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.24.0+0
⌅ [02c8fc9c] XML2_jll v2.13.8+0
  [ffd25f8a] XZ_jll v5.8.1+0
  [f67eecfb] Xorg_libICE_jll v1.1.2+0
  [c834827a] Xorg_libSM_jll v1.2.6+0
  [4f6342f7] Xorg_libX11_jll v1.8.12+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.13+0
  [935fb764] Xorg_libXcursor_jll v1.2.4+0
  [a3789734] Xorg_libXdmcp_jll v1.1.6+0
  [1082639a] Xorg_libXext_jll v1.3.7+0
  [d091e8ba] Xorg_libXfixes_jll v6.0.1+0
  [a51aa0fd] Xorg_libXi_jll v1.8.3+0
  [d1454406] Xorg_libXinerama_jll v1.1.6+0
  [ec84b674] Xorg_libXrandr_jll v1.5.5+0
  [ea2f1a96] Xorg_libXrender_jll v0.9.12+0
  [a65dc6b1] Xorg_libpciaccess_jll v0.18.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.1+0
  [cc61e674] Xorg_libxkbfile_jll v1.1.3+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.5+0
  [12413925] Xorg_xcb_util_image_jll v0.4.1+0
  [2def613f] Xorg_xcb_util_jll v0.4.1+0
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.1+0
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.10+0
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.2+0
  [35661453] Xorg_xkbcomp_jll v1.4.7+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.44.0+0
  [c5fb5394] Xorg_xtrans_jll v1.6.0+0
  [3161d3a3] Zstd_jll v1.5.7+1
  [35ca27e7] eudev_jll v3.2.14+0
  [214eeab7] fzf_jll v0.61.1+0
  [a4ae2306] libaom_jll v3.12.1+0
  [0ac62f75] libass_jll v0.17.4+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [2db6ffa8] libevdev_jll v1.13.4+0
  [f638f0a6] libfdk_aac_jll v2.0.4+0
  [36db933b] libinput_jll v1.28.1+0
  [b53b4c65] libpng_jll v1.6.50+0
  [f27f6e37] libvorbis_jll v1.3.8+0
  [009596ad] mtdev_jll v1.1.7+0
  [1317d2d5] oneTBB_jll v2022.0.0+0
  [1270edf5] x264_jll v10164.0.1+0
  [dfaa095f] x265_jll v4.1.0+0
  [d8fb68d0] xkbcommon_jll v1.9.2+0
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.11.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [a63ad114] Mmap v1.11.0
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.11.0
  [de0858da] Printf v1.11.0
  [9abbd945] Profile v1.11.0
  [3fa0cd96] REPL v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [1a1011a3] SharedArrays v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.11.0
  [f489334b] StyledStrings v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.1.1+0
  [deac9b47] LibCURL_jll v8.6.0+0
  [e37daf67] LibGit2_jll v1.7.2+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.6+0
  [14a3606d] MozillaCACerts_jll v2023.12.12
  [4536629a] OpenBLAS_jll v0.3.27+1
  [05823500] OpenLibm_jll v0.8.5+0
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.7.0+0
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.11.0+0
  [8e850ede] nghttp2_jll v1.59.0+0
  [3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`

• Output of versioninfo()

julia> versioninfo()
Julia Version 1.11.7
Commit f2b3dbda30a (2025-09-08 12:10 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 32 × Intel(R) Core(TM) i9-14900K
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, alderlake)
Threads: 32 default, 0 interactive, 16 GC (on 32 virtual cores)
Environment:
  JULIA_EDITOR = code
  JULIA_VSCODE_REPL = 1

Additional context

Add any other context about the problem here.

[vyudu]

I don't think the implementation can handle parameter estimation problems yet, it can only do optimization over input variables. I think it might not be that much work to make it optimize over both parameters and inputs but there would have to be some kind of interface to specify everything that you'd want to optimize over.

[vyudu]

Ah, the InfiniteOpt bug is because it expects a parameter map so it can substitute the symbolic parameters for values. So if the interface were expanded to handle parameter estimation problems the transcription would need to substitute the symbolic parameters in the MTK equations for InfiniteOpt variables

[ChrisRackauckas]

There should be a boolean option for whether to add the tunable parameters to the list that is optimized.