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Description
Describe the bug 🐞
DAE problem with neural networks, using OptimizationOptimisers.Adam
to train the parameters of nn.
Which I have been posted both here and there, but the error has changed: ERROR: Optimization algorithm not found.
Expected behavior
What is the correct way to use this function?
Minimal Reproducible Example 👇
Without MRE, we would only be able to help you to a limited extent, and attention to the issue would be limited. to know more about MRE refer to wikipedia and stackoverflow.
include("CHCM.jl")
"""
====================================================================
Building OCFEM (orthogonal collocation on finite element method)
for z discretization with cubic hermite polynomials
====================================================================
"""
begin
Ne = 42 # Number of finite elements
N = 2 # Number of interior collocation points
n_components = 1 # Number of chemical species
n_phases = 2 # 2 phases → 1 liquid(c profile) + 1 solid(q profile)
p_order = 4 # Polynomial order + 1
N_v = n_components * n_phases * (p_order + 2 * Ne - 2)
xₘᵢₙ = 0.0
xₘₐₓ = 1.0 # z domain limits
h = (xₘₐₓ - xₘᵢₙ) / Ne # finite elements' sizes
end
H, A, B = make_OCFEM(Ne, n_phases, n_components)
# H are the polynomial evaluations at collocation points,
# A first derivative, B second derivative
# Building mass matrix, Vector that contains n_components matrix
MM = BitMatrix(make_MM(Ne, n_phases))
"""
===================================================================
Build UDE and solve & visualization
===================================================================
"""
# -------------------Define chromatography parameters---------------------
begin
Qf = 5.0e-2 # Flow rate (dm^3/min)
d = 0.5 # Column Diameter (dm)
L = 2.0 # Bed Length (dm)
a = pi*d^2/4 # Column area (dm^2)
ϵ = 0.5 # Bed porosity
v = Qf/(a*ϵ) # Interstitial velocity (dm/min)
Pe = 21.095632695978704 # Peclet Number
Da_x = v*L/Pe # Axial dispersion (dm^2/min)
c_in = 5.5 # Feed concentration (mg/L)
k_transf = 0.22 # Mass transfer coefficient (1/min)
k_iso = 1.8 # Isotherm affinity parameter (L/mg)
qmax = 55.54 # Isotherm saturation parameter (mg/L)
q_test = qmax * k_iso * c_in^1.0 / (1.0 + k_iso * c_in^1.0)
# Scale parameter for amount adsorbed in solid phase
# Change exponent according to each isotherm: 1.0 for langmuir, 1.5 for sips in this work
end
#----------Define the derivative matrices stencil and node index-----------------
begin
# Internal node index
l_idx = 2
u_idx = 2Ne + 1
# Boundary node index
lb_idx = 1
ub_idx = 2Ne + 2
∂x = Array(A * inv(H)) # c(x, t) = H*x and ∂x(c(x, t)) = A*x = A*inv(H)*c(x, t)
∂x² = Array(B * inv(H)) # c(x, t) = H*x and ∂x²(c(x, t)) = B*x = B*inv(H)*c(x, t)
end
#-------------------Importing experimental data-------------------
# Vermeulen’s kinetics and langmuir isotherm
using DelimitedFiles
c_exp_data = readdlm("traindata_improved_quad_lang_2min.csv", ',')
# ------------------Initializing Neural networks----------------------
using Random, Lux, ComponentArrays
nn = Chain(
Dense(2, 22, tanh_fast),
Dense(22, 1)
)
ps, st = Lux.setup(Random.default_rng(), nn)
params = ComponentArray(ps |> f64)
nn_model = StatefulLuxLayer{true}(nn, nothing, st)
#---------------------building rhs function for DAE solver---------------------
mutable struct Hybrid{}
L::Float64
h::Float64
v::Float64
ϵ::Float64
c_in::Float64
∂x::Matrix{Float64}
∂x²::Matrix{Float64}
Da_x::Float64
k_iso::Float64
qmax::Float64
q_test::Float64
end
using UnPack
function (Hybrid!::Hybrid)(du, u, nn_params, t)
#Aliasing parameters of chromatography model
@unpack L, h, v, ∂x, ∂x², Da_x, ϵ, c_in, k_iso, qmax, q_test = Hybrid!
#---------------------Mass Transfer and equilibrium -----------------
c = (@view u[lb_idx:ub_idx])
q = u[ub_idx+1:2*ub_idx] / q_test # scaling dependent variables
q_eq = qmax * k_iso * c.^1.0 ./ (1.0 .+ k_iso * c.^1.0) / q_test# Change exponent according to each isotherm
x1x2 = [q_eq q]'
∂x_u = ∂x*u
∂x²_u = ∂x²*u
# Neural network output
nn_out = nn_model(x1x2, nn_params)
nn_internal = nn_out[2:end-1]
#------------------------Mass balance---------------------------
# Concentration profile for internal node. du[2:u_idx] for ∂t(c(x, t))
du[l_idx:u_idx] = - (1 - ϵ) / ϵ * nn_internal .- v/(h*L) * ∂x_u[l_idx:u_idx] .+ Da_x / (h*L)^2 * ∂x²_u[l_idx:u_idx]
# Boundary node equations. left multiply with MM should be 0 (du[1] = du[ub_idx] = 0)
du[1] = Da_x / (h*L) * ∂x_u[1] - v * (c[1] - c_in)
du[ub_idx] = ∂x_u[ub_idx] / (h*L)
# Absorption profile (solid phase)
du[ub_idx+1:2*ub_idx] = nn_out # du[ub_idx+1:end] for ∂t(q(x, t))
nothing
end
using OrdinaryDiffEq
rhs = Hybrid(L, h, v, ϵ, c_in, ∂x, ∂x², Da_x, k_iso, qmax, q_test)
chroma_func_nn = ODEFunction(rhs, mass_matrix = MM)
#-----------------------Build and Solve ODE Problem-------------------------
begin
t0, t_end = first(c_exp_data[:, 1]), last(c_exp_data[: , 1])
tspan = (t0, t_end)
datasize = size(c_exp_data, 1)
t_steps = range(t0, t_end; length = datasize)
params = ComponentArray(ps |> f64)
c0 = 1e-3
u0 = c0 * ones(N_v)
u0[Int(N_v/2) + 1:end] .= qmax * k_iso * c0^1.0 / (1.0 + k_iso * c0^1.0)
end
chroma_prob_nn = ODEProblem(chroma_func_nn, u0, tspan, params)
using LinearAlgebra
LinearAlgebra.BLAS.set_num_threads(5)
#=
@time sol_init = Array(solve(
chroma_prob_nn, FBDF(autodiff = false), saveat = t_steps)
)
=#
@time sol_init = Array(solve(
chroma_prob_nn, Rodas5(autodiff = false), saveat = t_steps)
)
# Rodas5(autodiff = false) also works
using Plots
begin
plot(t_steps, sol_init[Int(N_v/2), :], fg_legend = :transparent)
scatter!(c_exp_data[:, 1], c_exp_data[:, 2])
end
"""
===================================================================
Training Neural Network
===================================================================
"""
using SciMLSensitivity
function loss(θ)
# Setting up training data
data_train = c_exp_data[:, 2] / c_in
sensealg = QuadratureAdjoint(autojacvec = ReverseDiffVJP(true))
# Interpolating adjoint works well too
# You can set up weights for the observations here
weights = ones(size(data_train, 1))
cond1 = c_exp_data[:, 1] .> 50. # where curve maybe sharp
cond2 = c_exp_data[:, 1] .< 63.
is_bt = cond1 .& cond2
weights[is_bt] .= 1.0
prob = remake(chroma_prob_nn; p = θ)
sol = solve(
prob, Rodas5(autodiff = false), abstol = 5e-7, reltol = 5e-7,
sensealg = sensealg, saveat = t_steps
)
pred = stack(sol.u)[Int(N_v / 2), :] / c_in
return norm((pred - data_train) .* weights)
end
loss(params)
const losses = Float64[]
using Printf
function callback(state, loss)
push!(losses, loss)
println("Loss: ", loss)
return loss < 1.0e-3 # Terminate if loss is small
end
using Optimization, OptimizationOptimisers
adtype = Optimization.AutoZygote()
optf = Optimization.OptimizationFunction((x, p) -> loss(x), adtype)
optprob = Optimization.OptimizationProblem(optf, params)
opt = OptimizationOptimisers.Adam(0.05, (1.0, 0.985))
# opt = Adam(0.05)
res = Optimization.solve(optprob, opt, callback, maxiters = 180)
Error & Stacktrace
ERROR: Optimization algorithm not found. Either the chosen algorithm is not a valid solver
choice for the `OptimizationProblem`, or the Optimization solver library is not loaded.
Make sure that you have loaded an appropriate Optimization.jl solver library, for example,
`solve(prob,Optim.BFGS())` requires `using OptimizationOptimJL` and
`solve(prob,Adam())` requires `using OptimizationOptimisers`.
For more information, see the Optimization.jl documentation: https://docs.sciml.ai/Optimization/stable/.
Chosen Optimizer: Adam(eta=0.05, beta=(0.9, 0.999), epsilon=1.0e-8)
Stacktrace:
[1] __init(prob::OptimizationProblem{…}, alg::Adam{…}, args::Function; kwargs::@Kwargs{…})
@ SciMLBase ~/.julia/packages/SciMLBase/sYmAV/src/solve.jl:195
[2] init(prob::OptimizationProblem{…}, alg::Adam{…}, args::Function; kwargs::@Kwargs{…})
@ SciMLBase ~/.julia/packages/SciMLBase/sYmAV/src/solve.jl:173
[3] solve(prob::OptimizationProblem{…}, alg::Adam{…}, args::Function; kwargs::@Kwargs{…})
@ SciMLBase ~/.julia/packages/SciMLBase/sYmAV/src/solve.jl:95
Environment (please complete the following information):
- Output of
using Pkg; Pkg.status()
pkg> st
Status `~/文件/julia/chromatography/Project.toml`
[0a1fb500] BlockDiagonals v0.1.42
[b0b7db55] ComponentArrays v0.15.25
[a93c6f00] DataFrames v1.7.0
⌃ [82cc6244] DataInterpolations v6.6.0
[aae7a2af] DiffEqFlux v4.2.0
[0c46a032] DifferentialEquations v7.16.0
[31c24e10] Distributions v0.25.118
[5b8099bc] DomainSets v0.7.15
[38e38edf] GLM v1.9.0
[2fda8390] LsqFit v0.15.0
[b2108857] Lux v1.9.0
[94925ecb] MethodOfLines v0.11.7
[961ee093] ModelingToolkit v9.65.0
[8913a72c] NonlinearSolve v4.4.0
[7f7a1694] Optimization v4.1.1
[36348300] OptimizationOptimJL v0.4.1
[42dfb2eb] OptimizationOptimisers v0.3.7
[1dea7af3] OrdinaryDiffEq v6.92.0
[f0f68f2c] PlotlyJS v0.18.15
[91a5bcdd] Plots v1.40.9
[37e2e3b7] ReverseDiff v1.15.3
[1ed8b502] SciMLSensitivity v7.74.0
[f3b207a7] StatsPlots v0.15.7
[6aa5eb33] TaylorSeries v0.18.3
[3a884ed6] UnPack v1.0.2
[fdbf4ff8] XLSX v0.10.4
⌃ [e88e6eb3] Zygote v0.6.75
[de0858da] Printf v1.11.0
Info Packages marked with ⌃ have new versions available and may be upgradable.
- Output of
using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
julia> using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `~/文件/julia/chromatography/Manifest.toml`
[47edcb42] ADTypes v1.14.0
[621f4979] AbstractFFTs v1.5.0
[1520ce14] AbstractTrees v0.4.5
[7d9f7c33] Accessors v0.1.42
[79e6a3ab] Adapt v4.2.0
[66dad0bd] AliasTables v1.1.3
[a95523ee] AlmostBlockDiagonals v0.1.10
[dce04be8] ArgCheck v2.4.0
[ec485272] ArnoldiMethod v0.4.0
[7d9fca2a] Arpack v0.5.4
[4fba245c] ArrayInterface v7.18.0
[4c555306] ArrayLayouts v1.11.1
[bf4720bc] AssetRegistry v0.1.0
[a9b6321e] Atomix v1.1.1
[13072b0f] AxisAlgorithms v1.1.0
[aae01518] BandedMatrices v1.9.2
[e2ed5e7c] Bijections v0.1.9
[d1d4a3ce] BitFlags v0.1.9
[62783981] BitTwiddlingConvenienceFunctions v0.1.6
[ad839575] Blink v0.12.9
[8e7c35d0] BlockArrays v1.4.0
[0a1fb500] BlockDiagonals v0.1.42
[4544d5e4] Boltz v1.1.1
[764a87c0] BoundaryValueDiffEq v5.16.0
[7227322d] BoundaryValueDiffEqAscher v1.5.0
[56b672f2] BoundaryValueDiffEqCore v1.8.0
[85d9eb09] BoundaryValueDiffEqFIRK v1.6.0
[1a22d4ce] BoundaryValueDiffEqMIRK v1.6.0
[9255f1d6] BoundaryValueDiffEqMIRKN v1.5.0
[ed55bfe0] BoundaryValueDiffEqShooting v1.6.0
[70df07ce] BracketingNonlinearSolve v1.1.0
[fa961155] CEnum v0.5.0
[2a0fbf3d] CPUSummary v0.2.6
[00ebfdb7] CSTParser v3.4.3
[7057c7e9] Cassette v0.3.14
[082447d4] ChainRules v1.72.3
[d360d2e6] ChainRulesCore v1.25.1
[fb6a15b2] CloseOpenIntervals v0.1.13
[aaaa29a8] Clustering v0.15.8
[6309b1aa] CodecInflate64 v0.1.3
[944b1d66] CodecZlib v0.7.8
[35d6a980] ColorSchemes v3.29.0
[3da002f7] ColorTypes v0.12.0
[c3611d14] ColorVectorSpace v0.11.0
[5ae59095] Colors v0.13.0
[861a8166] Combinatorics v1.0.2
⌅ [a80b9123] CommonMark v0.8.15
[38540f10] CommonSolve v0.2.4
[bbf7d656] CommonSubexpressions v0.3.1
[f70d9fcc] CommonWorldInvalidations v1.0.0
[34da2185] Compat v4.16.0
[b0b7db55] ComponentArrays v0.15.25
[b152e2b5] CompositeTypes v0.1.4
[a33af91c] CompositionsBase v0.1.2
[2569d6c7] ConcreteStructs v0.2.3
[f0e56b4a] ConcurrentUtilities v2.5.0
[88cd18e8] ConsoleProgressMonitor v0.1.2
[187b0558] ConstructionBase v1.5.8
[d38c429a] Contour v0.6.3
[adafc99b] CpuId v0.3.1
[a8cc5b0e] Crayons v4.1.1
[9a962f9c] DataAPI v1.16.0
[a93c6f00] DataFrames v1.7.0
⌃ [82cc6244] DataInterpolations v6.6.0
[864edb3b] DataStructures v0.18.20
[e2d170a0] DataValueInterfaces v1.0.0
[bcd4f6db] DelayDiffEq v5.52.0
[8bb1440f] DelimitedFiles v1.9.1
[2b5f629d] DiffEqBase v6.164.2
[459566f4] DiffEqCallbacks v4.3.0
[aae7a2af] DiffEqFlux v4.2.0
[77a26b50] DiffEqNoiseProcess v5.24.1
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
[0c46a032] DifferentialEquations v7.16.0
[a0c0ee7d] DifferentiationInterface v0.6.43
[8d63f2c5] DispatchDoctor v0.4.19
[b4f34e82] Distances v0.10.12
[31c24e10] Distributions v0.25.118
[ffbed154] DocStringExtensions v0.9.3
[5b8099bc] DomainSets v0.7.15
[7c1d4256] DynamicPolynomials v0.6.1
[06fc5a27] DynamicQuantities v1.5.1
[4e289a0a] EnumX v1.0.4
[7da242da] Enzyme v0.13.30
[f151be2c] EnzymeCore v0.8.8
[460bff9d] ExceptionUnwrapping v0.1.11
[d4d017d3] ExponentialUtilities v1.27.0
[e2ba6199] ExprTools v0.1.10
[55351af7] ExproniconLite v0.10.14
[8f5d6c58] EzXML v1.2.0
[c87230d0] FFMPEG v0.4.2
[7a1cc6ca] FFTW v1.8.1
[9d29842c] FastAlmostBandedMatrices v0.1.4
[7034ab61] FastBroadcast v0.3.5
[9aa1b823] FastClosures v0.3.2
[442a2c76] FastGaussQuadrature v1.0.2
[a4df4552] FastPower v1.1.1
[1a297f60] FillArrays v1.13.0
[64ca27bc] FindFirstFunctions v1.4.1
[6a86dc24] FiniteDiff v2.27.0
[26cc04aa] FiniteDifferences v0.12.32
[53c48c17] FixedPointNumbers v0.8.5
[1fa38f19] Format v1.3.7
[f6369f11] ForwardDiff v0.10.38
[f62d2435] FunctionProperties v0.1.2
[069b7b12] FunctionWrappers v1.1.3
[77dc65aa] FunctionWrappersWrappers v0.1.3
[de31a74c] FunctionalCollections v0.5.0
[d9f16b24] Functors v0.5.2
[38e38edf] GLM v1.9.0
[0c68f7d7] GPUArrays v11.2.2
[46192b85] GPUArraysCore v0.2.0
[61eb1bfa] GPUCompiler v1.2.0
[28b8d3ca] GR v0.73.13
[c145ed77] GenericSchur v0.5.4
[c27321d9] Glob v1.3.1
[86223c79] Graphs v1.12.0
[42e2da0e] Grisu v1.0.2
[cd3eb016] HTTP v1.10.15
[076d061b] HashArrayMappedTries v0.2.0
[9fb69e20] Hiccup v0.2.2
[0e44f5e4] Hwloc v3.3.0
[34004b35] HypergeometricFunctions v0.3.27
[7869d1d1] IRTools v0.4.14
[615f187c] IfElse v0.1.1
[d25df0c9] Inflate v0.1.5
[842dd82b] InlineStrings v1.4.3
[0c81fc1b] InputBuffers v1.0.0
[18e54dd8] IntegerMathUtils v0.1.2
[a98d9a8b] Interpolations v0.15.1
[8197267c] IntervalSets v0.7.10
[3587e190] InverseFunctions v0.1.17
[41ab1584] InvertedIndices v1.3.1
[92d709cd] IrrationalConstants v0.2.4
[82899510] IteratorInterfaceExtensions v1.0.0
[1019f520] JLFzf v0.1.9
[692b3bcd] JLLWrappers v1.7.0
[97c1335a] JSExpr v0.5.4
[682c06a0] JSON v0.21.4
[ae98c720] Jieko v0.2.1
[98e50ef6] JuliaFormatter v1.0.62
[ccbc3e58] JumpProcesses v9.14.2
[63c18a36] KernelAbstractions v0.9.34
[5ab0869b] KernelDensity v0.6.9
[ba0b0d4f] Krylov v0.9.10
[5be7bae1] LBFGSB v0.4.1
[929cbde3] LLVM v9.2.0
[b964fa9f] LaTeXStrings v1.4.0
[23fbe1c1] Latexify v0.16.6
[10f19ff3] LayoutPointers v0.1.17
[50d2b5c4] Lazy v0.15.1
[5078a376] LazyArrays v2.6.1
[1d6d02ad] LeftChildRightSiblingTrees v0.2.0
[2d8b4e74] LevyArea v1.0.0
[87fe0de2] LineSearch v0.1.4
[d3d80556] LineSearches v7.3.0
[7ed4a6bd] LinearSolve v3.4.0
[2ab3a3ac] LogExpFunctions v0.3.29
[e6f89c97] LoggingExtras v1.1.0
[2fda8390] LsqFit v0.15.0
[b2108857] Lux v1.9.0
[bb33d45b] LuxCore v1.2.3
[82251201] LuxLib v1.6.1
[7e8f7934] MLDataDevices v1.9.1
[d8e11817] MLStyle v0.4.17
[1914dd2f] MacroTools v0.5.15
[d125e4d3] ManualMemory v0.1.8
[a3b82374] MatrixFactorizations v3.0.1
[bb5d69b7] MaybeInplace v0.1.4
[739be429] MbedTLS v1.1.9
[442fdcdd] Measures v0.3.2
[94925ecb] MethodOfLines v0.11.7
[e1d29d7a] Missings v1.2.0
[961ee093] ModelingToolkit v9.65.0
[2e0e35c7] Moshi v0.3.5
[46d2c3a1] MuladdMacro v0.2.4
[102ac46a] MultivariatePolynomials v0.5.7
[6f286f6a] MultivariateStats v0.10.3
[ffc61752] Mustache v1.0.20
[d8a4904e] MutableArithmetics v1.6.4
[a975b10e] Mux v1.0.2
[d41bc354] NLSolversBase v7.8.3
[2774e3e8] NLsolve v4.5.1
[872c559c] NNlib v0.9.28
[77ba4419] NaNMath v1.1.2
[b8a86587] NearestNeighbors v0.4.21
[8913a72c] NonlinearSolve v4.4.0
[be0214bd] NonlinearSolveBase v1.5.0
[5959db7a] NonlinearSolveFirstOrder v1.3.0
[9a2c21bd] NonlinearSolveQuasiNewton v1.2.0
[26075421] NonlinearSolveSpectralMethods v1.1.0
[d8793406] ObjectFile v0.4.3
[510215fc] Observables v0.5.5
[6fe1bfb0] OffsetArrays v1.15.0
[4d8831e6] OpenSSL v1.4.3
[429524aa] Optim v1.11.0
[3bd65402] Optimisers v0.4.5
[7f7a1694] Optimization v4.1.1
[bca83a33] OptimizationBase v2.4.0
[36348300] OptimizationOptimJL v0.4.1
[42dfb2eb] OptimizationOptimisers v0.3.7
[bac558e1] OrderedCollections v1.8.0
[1dea7af3] OrdinaryDiffEq v6.92.0
[89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.2.0
[6ad6398a] OrdinaryDiffEqBDF v1.3.0
[bbf590c4] OrdinaryDiffEqCore v1.19.0
[50262376] OrdinaryDiffEqDefault v1.3.0
[4302a76b] OrdinaryDiffEqDifferentiation v1.4.0
[9286f039] OrdinaryDiffEqExplicitRK v1.1.0
[e0540318] OrdinaryDiffEqExponentialRK v1.4.0
[becaefa8] OrdinaryDiffEqExtrapolation v1.5.0
[5960d6e9] OrdinaryDiffEqFIRK v1.8.0
[101fe9f7] OrdinaryDiffEqFeagin v1.1.0
[d3585ca7] OrdinaryDiffEqFunctionMap v1.1.1
[d28bc4f8] OrdinaryDiffEqHighOrderRK v1.1.0
[9f002381] OrdinaryDiffEqIMEXMultistep v1.3.0
[521117fe] OrdinaryDiffEqLinear v1.1.0
[1344f307] OrdinaryDiffEqLowOrderRK v1.2.0
[b0944070] OrdinaryDiffEqLowStorageRK v1.2.1
[127b3ac7] OrdinaryDiffEqNonlinearSolve v1.5.0
[c9986a66] OrdinaryDiffEqNordsieck v1.1.0
[5dd0a6cf] OrdinaryDiffEqPDIRK v1.3.0
[5b33eab2] OrdinaryDiffEqPRK v1.1.0
[04162be5] OrdinaryDiffEqQPRK v1.1.0
[af6ede74] OrdinaryDiffEqRKN v1.1.0
[43230ef6] OrdinaryDiffEqRosenbrock v1.7.0
[2d112036] OrdinaryDiffEqSDIRK v1.3.0
[669c94d9] OrdinaryDiffEqSSPRK v1.2.0
[e3e12d00] OrdinaryDiffEqStabilizedIRK v1.3.0
[358294b1] OrdinaryDiffEqStabilizedRK v1.1.0
[fa646aed] OrdinaryDiffEqSymplecticRK v1.3.0
[b1df2697] OrdinaryDiffEqTsit5 v1.1.0
[79d7bb75] OrdinaryDiffEqVerner v1.1.1
[a7812802] PDEBase v0.1.17
[90014a1f] PDMats v0.11.32
[65ce6f38] PackageExtensionCompat v1.0.2
[d96e819e] Parameters v0.12.3
[69de0a69] Parsers v2.8.1
[fa939f87] Pidfile v1.3.0
[b98c9c47] Pipe v1.3.0
[ccf2f8ad] PlotThemes v3.3.0
[995b91a9] PlotUtils v1.4.3
[a03496cd] PlotlyBase v0.8.20
[f0f68f2c] PlotlyJS v0.18.15
[f2990250] PlotlyKaleido v2.2.6
[91a5bcdd] Plots v1.40.9
[e409e4f3] PoissonRandom v0.4.4
[f517fe37] Polyester v0.7.16
[1d0040c9] PolyesterWeave v0.2.2
[2dfb63ee] PooledArrays v1.4.3
[85a6dd25] PositiveFactorizations v0.2.4
[d236fae5] PreallocationTools v0.4.25
[aea7be01] PrecompileTools v1.2.1
[21216c6a] Preferences v1.4.3
[08abe8d2] PrettyTables v2.4.0
[27ebfcd6] Primes v0.5.6
[33c8b6b6] ProgressLogging v0.1.4
[92933f4c] ProgressMeter v1.10.2
[43287f4e] PtrArrays v1.3.0
[1fd47b50] QuadGK v2.11.2
[74087812] Random123 v1.7.0
[e6cf234a] RandomNumbers v1.6.0
[c84ed2f1] Ratios v0.4.5
[c1ae055f] RealDot v0.1.0
[3cdcf5f2] RecipesBase v1.3.4
[01d81517] RecipesPipeline v0.6.12
[731186ca] RecursiveArrayTools v3.31.0
[189a3867] Reexport v1.2.2
[05181044] RelocatableFolders v1.0.1
[ae029012] Requires v1.3.1
[ae5879a3] ResettableStacks v1.1.1
[37e2e3b7] ReverseDiff v1.15.3
[708f8203] Richardson v1.4.2
[79098fc4] Rmath v0.8.0
[7e49a35a] RuntimeGeneratedFunctions v0.5.13
[9dfe8606] SCCNonlinearSolve v1.0.0
[94e857df] SIMDTypes v0.1.0
[0bca4576] SciMLBase v2.75.1
[19f34311] SciMLJacobianOperators v0.1.1
[c0aeaf25] SciMLOperators v0.3.12
[1ed8b502] SciMLSensitivity v7.74.0
[53ae85a6] SciMLStructures v1.7.0
[7e506255] ScopedValues v1.3.0
[6c6a2e73] Scratch v1.2.1
[91c51154] SentinelArrays v1.4.8
[efcf1570] Setfield v1.1.2
[1277b4bf] ShiftedArrays v2.0.0
[992d4aef] Showoff v1.0.3
[777ac1f9] SimpleBufferStream v1.2.0
[727e6d20] SimpleNonlinearSolve v2.1.0
[699a6c99] SimpleTraits v0.9.4
[ce78b400] SimpleUnPack v1.1.0
[a2af1166] SortingAlgorithms v1.2.1
[9f842d2f] SparseConnectivityTracer v0.6.13
[47a9eef4] SparseDiffTools v2.23.1
[dc90abb0] SparseInverseSubset v0.1.2
[0a514795] SparseMatrixColorings v0.4.14
[276daf66] SpecialFunctions v2.5.0
[860ef19b] StableRNGs v1.0.2
[aedffcd0] Static v1.2.0
[0d7ed370] StaticArrayInterface v1.8.0
[90137ffa] StaticArrays v1.9.13
[1e83bf80] StaticArraysCore v1.4.3
[10745b16] Statistics v1.11.1
[82ae8749] StatsAPI v1.7.0
[2913bbd2] StatsBase v0.34.4
[4c63d2b9] StatsFuns v1.3.2
[3eaba693] StatsModels v0.7.4
[f3b207a7] StatsPlots v0.15.7
[9672c7b4] SteadyStateDiffEq v2.4.1
[789caeaf] StochasticDiffEq v6.74.0
[7792a7ef] StrideArraysCore v0.5.7
[892a3eda] StringManipulation v0.4.1
[09ab397b] StructArrays v0.7.0
[53d494c1] StructIO v0.3.1
[c3572dad] Sundials v4.26.1
[2efcf032] SymbolicIndexingInterface v0.3.38
[19f23fe9] SymbolicLimits v0.2.2
[d1185830] SymbolicUtils v3.17.1
[0c5d862f] Symbolics v6.29.2
[ab02a1b2] TableOperations v1.2.0
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.12.0
[ed4db957] TaskLocalValues v0.1.2
[6aa5eb33] TaylorSeries v0.18.3
[62fd8b95] TensorCore v0.1.1
[8ea1fca8] TermInterface v2.0.0
[5d786b92] TerminalLoggers v0.1.7
[1c621080] TestItems v1.0.0
[8290d209] ThreadingUtilities v0.5.2
[a759f4b9] TimerOutputs v0.5.28
[0796e94c] Tokenize v0.5.29
[9f7883ad] Tracker v0.2.37
[3bb67fe8] TranscodingStreams v0.11.3
[410a4b4d] Tricks v0.1.10
[781d530d] TruncatedStacktraces v1.4.0
[5c2747f8] URIs v1.5.1
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
[1986cc42] Unitful v1.22.0
[45397f5d] UnitfulLatexify v1.6.4
[a7c27f48] Unityper v0.1.6
[013be700] UnsafeAtomics v0.3.0
[41fe7b60] Unzip v0.2.0
[19fa3120] VertexSafeGraphs v0.2.0
[897b6980] WeakValueDicts v0.1.0
[0f1e0344] WebIO v0.8.21
[104b5d7c] WebSockets v1.6.0
[d49dbf32] WeightInitializers v1.1.1
[cc8bc4a8] Widgets v0.6.7
[efce3f68] WoodburyMatrices v1.0.0
[fdbf4ff8] XLSX v0.10.4
[49080126] ZipArchives v2.4.1
[a5390f91] ZipFile v0.10.1
⌃ [e88e6eb3] Zygote v0.6.75
[700de1a5] ZygoteRules v0.2.7
⌅ [68821587] Arpack_jll v3.5.1+1
[6e34b625] Bzip2_jll v1.0.9+0
[83423d85] Cairo_jll v1.18.2+1
[ee1fde0b] Dbus_jll v1.14.10+0
[7cc45869] Enzyme_jll v0.0.172+0
[2702e6a9] EpollShim_jll v0.0.20230411+1
[2e619515] Expat_jll v2.6.5+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
[f5851436] FFTW_jll v3.3.10+3
[a3f928ae] Fontconfig_jll v2.15.0+0
[d7e528f0] FreeType2_jll v2.13.3+1
[559328eb] FriBidi_jll v1.0.16+0
[0656b61e] GLFW_jll v3.4.0+2
[d2c73de3] GR_jll v0.73.13+0
[78b55507] Gettext_jll v0.21.0+0
[7746bdde] Glib_jll v2.82.4+0
[3b182d85] Graphite2_jll v1.3.14+1
[2e76f6c2] HarfBuzz_jll v8.5.0+0
[e33a78d0] Hwloc_jll v2.12.0+0
[1d5cc7b8] IntelOpenMP_jll v2025.0.4+0
[aacddb02] JpegTurbo_jll v3.1.1+0
[f7e6163d] Kaleido_jll v0.2.1+0
[c1c5ebd0] LAME_jll v3.100.2+0
[88015f11] LERC_jll v4.0.1+0
[dad2f222] LLVMExtra_jll v0.0.35+0
[1d63c593] LLVMOpenMP_jll v18.1.7+0
[dd4b983a] LZO_jll v2.10.3+0
[81d17ec3] L_BFGS_B_jll v3.0.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+2
[d4300ac3] Libgcrypt_jll v1.11.0+0
[7e76a0d4] Libglvnd_jll v1.7.0+0
[7add5ba3] Libgpg_error_jll v1.51.1+0
[94ce4f54] Libiconv_jll v1.18.0+0
[4b2f31a3] Libmount_jll v2.40.3+0
[89763e89] Libtiff_jll v4.7.1+0
[38a345b3] Libuuid_jll v2.40.3+0
[856f044c] MKL_jll v2025.0.1+1
[e7412a2a] Ogg_jll v1.3.5+1
[458c3c95] OpenSSL_jll v3.0.16+0
[efe28fd5] OpenSpecFun_jll v0.5.6+0
[91d4177d] Opus_jll v1.3.3+0
[36c8627f] Pango_jll v1.56.1+0
⌅ [30392449] Pixman_jll v0.43.4+0
⌅ [c0090381] Qt6Base_jll v6.7.1+1
⌅ [629bc702] Qt6Declarative_jll v6.7.1+2
⌅ [ce943373] Qt6ShaderTools_jll v6.7.1+1
⌃ [e99dba38] Qt6Wayland_jll v6.7.1+1
[f50d1b31] Rmath_jll v0.5.1+0
⌅ [fb77eaff] Sundials_jll v5.2.3+0
[a44049a8] Vulkan_Loader_jll v1.3.243+0
[a2964d1f] Wayland_jll v1.21.0+2
[2381bf8a] Wayland_protocols_jll v1.36.0+0
[02c8fc9c] XML2_jll v2.13.6+1
[aed1982a] XSLT_jll v1.1.42+0
[ffd25f8a] XZ_jll v5.6.4+1
[f67eecfb] Xorg_libICE_jll v1.1.1+0
[c834827a] Xorg_libSM_jll v1.2.4+0
[4f6342f7] Xorg_libX11_jll v1.8.6+3
[0c0b7dd1] Xorg_libXau_jll v1.0.12+0
[935fb764] Xorg_libXcursor_jll v1.2.3+0
[a3789734] Xorg_libXdmcp_jll v1.1.5+0
[1082639a] Xorg_libXext_jll v1.3.6+3
[d091e8ba] Xorg_libXfixes_jll v6.0.0+0
[a51aa0fd] Xorg_libXi_jll v1.8.2+0
[d1454406] Xorg_libXinerama_jll v1.1.5+0
[ec84b674] Xorg_libXrandr_jll v1.5.4+0
[ea2f1a96] Xorg_libXrender_jll v0.9.11+1
[14d82f49] Xorg_libpthread_stubs_jll v0.1.2+0
[c7cfdc94] Xorg_libxcb_jll v1.17.0+3
[cc61e674] Xorg_libxkbfile_jll v1.1.2+1
[e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
[12413925] Xorg_xcb_util_image_jll v0.4.0+1
[2def613f] Xorg_xcb_util_jll v0.4.0+1
[975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
[0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
[c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
[35661453] Xorg_xkbcomp_jll v1.4.6+1
[33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0
[c5fb5394] Xorg_xtrans_jll v1.5.1+0
[3161d3a3] Zstd_jll v1.5.7+1
[35ca27e7] eudev_jll v3.2.9+0
[214eeab7] fzf_jll v0.56.3+0
[1a1c6b14] gperf_jll v3.1.1+1
[a4ae2306] libaom_jll v3.11.0+0
[0ac62f75] libass_jll v0.15.2+0
[1183f4f0] libdecor_jll v0.2.2+0
[2db6ffa8] libevdev_jll v1.11.0+0
[f638f0a6] libfdk_aac_jll v2.0.3+0
[36db933b] libinput_jll v1.18.0+0
[b53b4c65] libpng_jll v1.6.47+0
[f27f6e37] libvorbis_jll v1.3.7+2
[009596ad] mtdev_jll v1.1.6+0
[1317d2d5] oneTBB_jll v2022.0.0+0
⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+0
[d8fb68d0] xkbcommon_jll v1.4.1+2
[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
[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 v0.8.1+4
[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 1.11.4
Commit 8561cc3d68d (2025-03-10 11:36 UTC)
Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: 12 × AMD Ryzen 5 5600H with Radeon Graphics
WORD_SIZE: 64
LLVM: libLLVM-16.0.6 (ORCJIT, znver3)
Threads: 12 default, 0 interactive, 6 GC (on 12 virtual cores)
Environment:
JULIA_EDITOR = code
JULIA_NUM_THREADS = 12
JULIA_PKG_SERVER = https://pkg.julialang.org
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