GSA returns very large (1e+16) values in Sobol sensitivity #189
Description
I am running a model (written in Julia) with 42 parameters and 6 outputs (cost values between modelled variables and observed variables). If I run the gsa function with N=10000 (or larger number), it returns ST, S1 and S2 values with very large values like 1e+16...
Here are the S1 values I got...42 is the num of parameter and 6 is the num of outputs.
You could see that the 13th row (parameter epsilon_max) and the last two rows have very large S1 values...But if I narrow down the parameter group to a small group (still including 13th row), then there is no 1e+16 values for that parameter (epsilon_max)...
For MWE, the model is large and not public yet...but I can show you the codes about GSA as below...for cost function I am using inversed normalised Nash Efficiency like below:
function metric(y::AbstractArray, yσ::AbstractArray, ŷ::AbstractArray, ::NNSE)
NSE_v = metric(y, yσ, ŷ, NSE())
NNSE = one(eltype(ŷ)) / (one(eltype(ŷ)) + one(eltype(ŷ)) - NSE_v)
return NNSE
end
function metric(y::AbstractArray, yσ::AbstractArray, ŷ::AbstractArray, ::NNSEInv)
NNSEInv = one(eltype(ŷ)) - metric(y, yσ, ŷ, NNSE())
return NNSEInv
end
function metric(y::AbstractArray, yσ::AbstractArray, ŷ::AbstractArray, ::NSE)
NSE = one(eltype(ŷ)) .- sum(abs2.((y .- ŷ))) / sum(abs2.((y .- mean(y))))
return NSE
end
The sensitivity code is
function globalSensitivity(cost_function, method_options, p_bounds, ::GlobalSensitivitySobolDM; batch=true)
sampler = getproperty(SindbadOptimization.GlobalSensitivity, Symbol(method_options.sampler))(; method_options.sampler_options...);
samples = method_options.samples;
lb = first.(p_bounds);
ub = last.(p_bounds);
@debug samples
A, B = QuasiMonteCarlo.generate_design_matrices(samples, lb, ub, sampler);
@debug size(A)
@debug method_options
results = gsa(cost_function, Sobol(; method_options.method_options...), A, B; method_options..., batch=batch);
return results
end
function costSensitivityMatrix(param_matrix, _, selected_models, space_forcing, space_spinup_forcing, loc_forcing_t,
output_array, space_output, space_land, tem_info, observations, param_updater, cost_options,
multi_constraint_method, parameter_scaling_type, cost_out::Matrix, ::CostModelObsMT)
@info size(param_matrix)
param_set_size = size(param_matrix, 2)
done_params=1
Threads.@threads for param_index in eachindex(1:param_set_size)
idx = Threads.threadid()
param_vector = param_matrix[:, param_index]
@debug param_vector
updated_models = updateModels(param_vector, param_updater, parameter_scaling_type, selected_models)
coreTEM!(updated_models, space_forcing, space_spinup_forcing, loc_forcing_t, space_output[idx], space_land, tem_info)
cost_vector = metricVector(space_output[idx], observations, cost_options)
cost_metric = combineMetric(cost_vector, multi_constraint_method)
# cost_out[param_index] = cost_metric
@debug length(cost_vector)
cost_out[:, param_index] = cost_vector
@debug cost_out
@info idx, round(100 * done_params/param_set_size,digits=2), param_set_size, cost_metric
@debug idx, round(100 * done_params/param_set_size,digits=2), param_set_size, cost_metric, cost_vector
done_params += 1
end
return cost_out
end
function prepOptiSensitivityMatrix(forcing, observations, info, ::CostModelObsMT; algorithm_info_field=:algorithm_optimization)
algorithm_info = getproperty(info.optimization, algorithm_info_field);
opti_helpers = prepOpti(forcing, observations, info, CostModelObs());
run_helpers = opti_helpers.run_helpers;
cost_vector_size = getCostVectorSize(getproperty(algorithm_info, :options), opti_helpers.default_values, getproperty(algorithm_info, :method));
cost_vector = Vector{eltype(opti_helpers.default_values)}(undef, cost_vector_size);
num_observations = length(info.optimization.observational_constraints);
cost_matrix = Matrix{eltype(opti_helpers.default_values)}(undef, num_observations, cost_vector_size);
space_index = 1 # the parallelization of cost computation only runs in single pixel runs
cost_function = x -> costSensitivityMatrix(x, opti_helpers.default_values, info.models.forward,
run_helpers.space_forcing[space_index],
run_helpers.space_spinup_forcing[space_index],
run_helpers.loc_forcing_t, run_helpers.output_array,
run_helpers.space_output_mt,
deepcopy(run_helpers.space_land[space_index]),
run_helpers.tem_info, observations, opti_helpers.tbl_params,
opti_helpers.cost_options, info.optimization.multi_constraint_method,
info.optimization.optimization_parameter_scaling, cost_matrix,
info.optimization.optimization_cost_method)
@debug cost_function(opti_helpers.default_values)
opti_helpers = (; opti_helpers..., cost_function=cost_function, cost_vector=cost_matrix)
return opti_helpers
end
function getCostVectorSize(algo_options, param_vector, ::GlobalSensitivitySobol)
default_opt = sindbad_default_options(GlobalSensitivitySobol())
samples = default_opt.samples
nparam = length(param_vector)
norder = length(algo_options.method_options.order) - 1
if hasproperty(algo_options, :samples)
samples = algo_options.samples
end
cost_vector_size = samples * (norder * nparam + 2)
return cost_vector_size
end
**Environment (please complete the following information):**
- Output of `using Pkg; Pkg.status()`
```Julia
julia> using Pkg; Pkg.status()
Status `/Net/Groups/BGI/work_4/scratch/eebiomass/sindbad.jl.github/examples/exp_WROASTED/Project.toml`
[af5da776] GlobalSensitivity v2.7.0
[033835bb] JLD2 v0.5.12
[91a5bcdd] Plots v1.40.11
[8a4e6c94] QuasiMonteCarlo v0.3.3
[295af30f] Revise v3.7.3
[6686e6de] Sindbad v0.1.0 `../..`
[772b809f] SindbadData v0.1.0 `../../lib/SindbadData`
[bbd31fc6] SindbadExperiment v0.1.0 `../../lib/SindbadExperiment`
[eb1d8004] SindbadML v0.1.0 `../../lib/SindbadML`
[7a8077d0] SindbadMetrics v0.1.0 `../../lib/SindbadMetrics`
[64fff8bd] SindbadOptimization v0.1.0 `../../lib/SindbadOptimization`
[2b7f2987] SindbadSetup v0.1.0 `../../lib/SindbadSetup`
[f6108451] SindbadTEM v0.1.0 `../../lib/SindbadTEM`
[a2ad09c8] SindbadUtils v0.1.0 `../../lib/SindbadUtils`
[860ef19b] StableRNGs v1.0.2
- Output of
using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
julia> using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `/Net/Groups/BGI/work_4/scratch/eebiomass/sindbad.jl.github/examples/exp_WROASTED/Manifest.toml`
[47edcb42] ADTypes v1.14.0
[fbe9abb3] AWS v1.92.0
⌅ [1c724243] AWSS3 v0.10.4
[621f4979] AbstractFFTs v1.5.0
[1520ce14] AbstractTrees v0.4.5
[7d9f7c33] Accessors v0.1.42
[79e6a3ab] Adapt v4.3.0
[66dad0bd] AliasTables v1.1.3
[a95523ee] AlmostBlockDiagonals v0.1.10
[dce04be8] ArgCheck v2.5.0
[ec485272] ArnoldiMethod v0.4.0
[4fba245c] ArrayInterface v7.18.0
[4c555306] ArrayLayouts v1.11.1
[31f734f8] ArrowTypes v2.3.0
[a9b6321e] Atomix v1.1.1
[13072b0f] AxisAlgorithms v1.1.0
[94b1ba4f] AxisKeys v0.2.15
[fbb218c0] BSON v0.3.9
[aae01518] BandedMatrices v1.9.3
[198e06fe] BangBang v0.4.4
[9718e550] Baselet v0.1.1
[0e736298] Bessels v0.2.8
[d1d4a3ce] BitFlags v0.1.9
[62783981] BitTwiddlingConvenienceFunctions v0.1.6
[a134a8b2] BlackBoxOptim v0.6.3
[a74b3585] Blosc v0.7.3
[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 v1.1.2
[fa961155] CEnum v0.5.0
[179af706] CFTime v0.1.4
[8d3b24bd] CMAEvolutionStrategy v0.2.6
[2a0fbf3d] CPUSummary v0.2.6
[a9c8d775] CPUTime v1.0.0
[336ed68f] CSV v0.10.15
[082447d4] ChainRules v1.72.3
[d360d2e6] ChainRulesCore v1.25.1
[fb6a15b2] CloseOpenIntervals v0.1.13
[da1fd8a2] CodeTracking v1.3.6
[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
[1fbeeb36] CommonDataModel v0.3.8
[38540f10] CommonSolve v0.2.4
[bbf7d656] CommonSubexpressions v0.3.1
[f70d9fcc] CommonWorldInvalidations v1.0.0
[34da2185] Compat v4.16.0
[ab4b797d] ComplexityMeasures v3.8.0
[b0b7db55] ComponentArrays v0.15.26
[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
[6add18c4] ContextVariablesX v0.1.3
[d38c429a] Contour v0.6.3
[ae264745] Copulas v0.1.29
[adafc99b] CpuId v0.3.1
[a8cc5b0e] Crayons v4.1.1
[717857b8] DSP v0.8.3
[9a962f9c] DataAPI v1.16.0
[864edb3b] DataStructures v0.18.22
[e2d170a0] DataValueInterfaces v1.0.0
[244e2a9f] DefineSingletons v0.1.2
[bcd4f6db] DelayDiffEq v5.52.0
[5732040d] DelayEmbeddings v2.8.0
[8bb1440f] DelimitedFiles v1.9.1
[85a47980] Dictionaries v0.4.4
[2b5f629d] DiffEqBase v6.167.1
[459566f4] DiffEqCallbacks v4.3.0
[77a26b50] DiffEqNoiseProcess v5.24.1
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
[0c46a032] DifferentialEquations v7.16.1
[a0c0ee7d] DifferentiationInterface v0.6.50
[0703355e] DimensionalData v0.29.14
[fcd2136c] DiskArrayTools v0.1.12
[3c3547ce] DiskArrays v0.4.11
[b4f34e82] Distances v0.10.12
[45214091] DistributionFits v0.3.9
[31c24e10] Distributions v0.25.118
[ffbed154] DocStringExtensions v0.9.4
[4e289a0a] EnumX v1.0.5
[f151be2c] EnzymeCore v0.8.8
[86b6b26d] Evolutionary v0.11.1
[460bff9d] ExceptionUnwrapping v0.1.11
[d4d017d3] ExponentialUtilities v1.27.0
[e2ba6199] ExprTools v0.1.10
[55351af7] ExproniconLite v0.10.14
[411431e0] Extents v0.1.5
[8f5d6c58] EzXML v1.2.1
[c87230d0] FFMPEG v0.4.2
[7a1cc6ca] FFTW v1.8.1
[3064a664] FIGlet v0.2.2
[cc61a311] FLoops v0.2.2
[b9860ae5] FLoopsBase v0.1.1
[9d29842c] FastAlmostBandedMatrices v0.1.4
[7034ab61] FastBroadcast v0.3.5
[9aa1b823] FastClosures v0.3.2
[442a2c76] FastGaussQuadrature v1.0.2
[a4df4552] FastPower v1.1.2
[bf96fef3] FieldMetadata v0.3.1
[5789e2e9] FileIO v1.17.0
[48062228] FilePathsBase v0.9.24
[1a297f60] FillArrays v1.13.0
[6a86dc24] FiniteDiff v2.27.0
[26cc04aa] FiniteDifferences v0.12.32
[53c48c17] FixedPointNumbers v0.8.5
[4c728ea3] Flatten v0.4.3
[587475ba] Flux v0.16.3
[1fa38f19] Format v1.3.7
⌅ [f6369f11] ForwardDiff v0.10.38
[069b7b12] FunctionWrappers v1.1.3
[77dc65aa] FunctionWrappersWrappers v0.1.3
[d9f16b24] Functors v0.5.2
[4aa9d100] GCMAES v0.1.34
[46192b85] GPUArraysCore v0.2.0
[28b8d3ca] GR v0.73.13
[c145ed77] GenericSchur v0.5.4
[bc5e4493] GitHub v5.9.0
[c27321d9] Glob v1.3.1
[af5da776] GlobalSensitivity v2.7.0
[86223c79] Graphs v1.12.0
[42e2da0e] Grisu v1.0.2
[19dc6840] HCubature v1.7.0
[cd3eb016] HTTP v1.10.15
[076d061b] HashArrayMappedTries v0.2.0
[34004b35] HypergeometricFunctions v0.3.28
[7869d1d1] IRTools v0.4.14
[615f187c] IfElse v0.1.1
[313cdc1a] Indexing v1.1.1
[5903a43b] Infiltrator v1.8.6
[d25df0c9] Inflate v0.1.5
[83e8ac13] IniFile v0.5.1
[22cec73e] InitialValues v0.3.1
[842dd82b] InlineStrings v1.4.3
[0c81fc1b] InputBuffers v1.0.0
[18e54dd8] IntegerMathUtils v0.1.2
[85a1e053] Interfaces v0.3.2
[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
[c8e1da08] IterTools v1.10.0
[82899510] IteratorInterfaceExtensions v1.0.0
[033835bb] JLD2 v0.5.12
[1019f520] JLFzf v0.1.10
[692b3bcd] JLLWrappers v1.7.0
[682c06a0] JSON v0.21.4
[ae98c720] Jieko v0.2.1
[aa1ae85d] JuliaInterpreter v0.9.42
[b14d175d] JuliaVariables v0.2.4
[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
[8ac3fa9e] LRUCache v1.6.2
[b964fa9f] LaTeXStrings v1.4.0
[23fbe1c1] Latexify v0.16.6
[73f95e8e] LatticeRules v0.0.1
[10f19ff3] LayoutPointers v0.1.17
[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 v3.7.2
[2ab3a3ac] LogExpFunctions v0.3.29
[e6f89c97] LoggingExtras v1.1.0
[6f1432cf] LoweredCodeUtils v3.1.0
[c2834f40] MLCore v1.0.0
[7e8f7934] MLDataDevices v1.9.1
[d8e11817] MLStyle v0.4.17
[f1d291b0] MLUtils v0.4.8
[3da0fdf6] MPIPreferences v0.1.11
[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
[128add7d] MicroCollections v0.2.0
[e1d29d7a] Missings v1.2.0
⌅ [78c3b35d] Mocking v0.7.9
[2e0e35c7] Moshi v0.3.5
[46d2c3a1] MuladdMacro v0.2.4
[3933049c] MultistartOptimization v0.3.1
[37188c8d] MvNormalCDF v0.3.2
[85f8d34a] NCDatasets v0.14.7
[d41bc354] NLSolversBase v7.9.0
[76087f3c] NLopt v1.1.3
[2774e3e8] NLsolve v4.5.1
[872c559c] NNlib v0.9.29
[77ba4419] NaNMath v1.1.2
[b946abbf] NaNStatistics v0.6.49
[71a1bf82] NameResolution v0.1.5
[356022a1] NamedDims v1.2.2
[b8a86587] NearestNeighbors v0.4.21
[645ca80c] Neighborhood v0.2.4
[30363a11] NetCDF v0.12.2
[8913a72c] NonlinearSolve v4.5.0
[be0214bd] NonlinearSolveBase v1.5.1
[5959db7a] NonlinearSolveFirstOrder v1.3.0
[9a2c21bd] NonlinearSolveQuasiNewton v1.2.0
[26075421] NonlinearSolveSpectralMethods v1.1.0
[6fe1bfb0] OffsetArrays v1.16.0
[0b1bfda6] OneHotArrays v0.2.6
[a15396b6] OnlineStats v1.7.1
[925886fa] OnlineStatsBase v1.7.1
[4d8831e6] OpenSSL v1.4.3
[429524aa] Optim v1.11.0
[3bd65402] Optimisers v0.4.5
[7f7a1694] Optimization v4.1.2
[3e6eede4] OptimizationBBO v0.4.0
[bca83a33] OptimizationBase v2.5.0
[bd407f91] OptimizationCMAEvolutionStrategy v0.3.0
[6f0a0517] OptimizationGCMAES v0.3.0
[36348300] OptimizationOptimJL v0.4.1
[bac558e1] OrderedCollections v1.8.0
[1dea7af3] OrdinaryDiffEq v6.93.0
[89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.2.0
[6ad6398a] OrdinaryDiffEqBDF v1.3.0
[bbf590c4] OrdinaryDiffEqCore v1.21.0
[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 v1.9.0
[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 v1.3.0
[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 v1.8.0
[2d112036] OrdinaryDiffEqSDIRK v1.3.0
[669c94d9] OrdinaryDiffEqSSPRK v1.2.1
[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
[90014a1f] PDMats v0.11.33
[65ce6f38] PackageExtensionCompat v1.0.2
[fad6cfc8] ParallelUtilities v0.8.6
[d96e819e] Parameters v0.12.3
[69de0a69] Parsers v2.8.1
[ccf2f8ad] PlotThemes v3.3.0
[995b91a9] PlotUtils v1.4.3
[91a5bcdd] Plots v1.40.11
[e409e4f3] PoissonRandom v0.4.4
[f517fe37] Polyester v0.7.16
[98d1487c] PolyesterForwardDiff v0.1.2
[1d0040c9] PolyesterWeave v0.2.2
[f27b6e38] Polynomials v4.0.19
[2dfb63ee] PooledArrays v1.4.3
[85a6dd25] PositiveFactorizations v0.2.4
[d236fae5] PreallocationTools v0.4.26
⌅ [aea7be01] PrecompileTools v1.2.1
[21216c6a] Preferences v1.4.3
[8162dcfd] PrettyPrint v0.2.0
[27ebfcd6] Primes v0.5.7
[33c8b6b6] ProgressLogging v0.1.4
[92933f4c] ProgressMeter v1.10.2
[43287f4e] PtrArrays v1.3.0
[1fd47b50] QuadGK v2.11.2
[8a4e6c94] QuasiMonteCarlo v0.3.3
[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 v3.31.2
[189a3867] Reexport v1.2.2
[42d2dcc6] Referenceables v0.1.3
[05181044] RelocatableFolders v1.0.1
[ae029012] Requires v1.3.1
[ae5879a3] ResettableStacks v1.1.1
[20febd7b] Retry v0.4.1
[295af30f] Revise v3.7.3
[708f8203] Richardson v1.4.2
[79098fc4] Rmath v0.8.0
[f2b01f46] Roots v2.2.6
[7e49a35a] RuntimeGeneratedFunctions v0.5.13
[94e857df] SIMDTypes v0.1.0
[0bca4576] SciMLBase v2.81.0
[19f34311] SciMLJacobianOperators v0.1.1
[c0aeaf25] SciMLOperators v0.3.13
[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
[605ecd9f] ShowCases v0.1.0
[992d4aef] Showoff v1.0.3
[777ac1f9] SimpleBufferStream v1.2.0
[727e6d20] SimpleNonlinearSolve v2.2.0
[699a6c99] SimpleTraits v0.9.4
[ce78b400] SimpleUnPack v1.1.0
[6686e6de] Sindbad v0.1.0 `../..`
[772b809f] SindbadData v0.1.0 `../../lib/SindbadData`
[bbd31fc6] SindbadExperiment v0.1.0 `../../lib/SindbadExperiment`
[eb1d8004] SindbadML v0.1.0 `../../lib/SindbadML`
[7a8077d0] SindbadMetrics v0.1.0 `../../lib/SindbadMetrics`
[64fff8bd] SindbadOptimization v0.1.0 `../../lib/SindbadOptimization`
[2b7f2987] SindbadSetup v0.1.0 `../../lib/SindbadSetup`
[f6108451] SindbadTEM v0.1.0 `../../lib/SindbadTEM`
[a2ad09c8] SindbadUtils v0.1.0 `../../lib/SindbadUtils`
[ed01d8cd] Sobol v1.5.0
[2133526b] SodiumSeal v0.1.1
[a2af1166] SortingAlgorithms v1.2.1
[9f842d2f] SparseConnectivityTracer v0.6.15
[47a9eef4] SparseDiffTools v2.24.0
[dc90abb0] SparseInverseSubset v0.1.2
[0a514795] SparseMatrixColorings v0.4.14
[d4ead438] SpatialIndexing v0.1.6
[276daf66] SpecialFunctions v2.5.0
[03a91e81] SplitApplyCombine v1.2.3
[171d559e] SplittablesBase v0.1.15
[860ef19b] StableRNGs v1.0.2
[cae243ae] StackViews v0.1.1
[40b095a5] StateSpaceSets v2.4.0
[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
[9672c7b4] SteadyStateDiffEq v2.5.0
[789caeaf] StochasticDiffEq v6.75.0
[7792a7ef] StrideArraysCore v0.5.7
[09ab397b] StructArrays v0.7.0
[c3572dad] Sundials v4.27.0
[2da68c74] SymDict v0.3.0
[2efcf032] SymbolicIndexingInterface v0.3.38
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.12.0
⌅ [6aa5eb33] TaylorSeries v0.18.4
[62fd8b95] TensorCore v0.1.1
[5d786b92] TerminalLoggers v0.1.7
[b189fb0b] ThreadPools v2.1.1
[8290d209] ThreadingUtilities v0.5.2
[ac1d9e8a] ThreadsX v0.1.12
[a759f4b9] TimerOutputs v0.5.28
[3bb67fe8] TranscodingStreams v0.11.3
[28d57a85] Transducers v0.4.84
[592b5752] Trapz v2.0.3
[781d530d] TruncatedStacktraces v1.4.0
[9d95f2ec] TypedTables v1.4.6
[5c2747f8] URIs v1.5.2
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
[1986cc42] Unitful v1.22.0
[45397f5d] UnitfulLatexify v1.6.4
[013be700] UnsafeAtomics v0.3.0
[41fe7b60] Unzip v0.2.0
[19fa3120] VertexSafeGraphs v0.2.0
[29a6e085] Wavelets v0.10.1
[ea10d353] WeakRefStrings v1.4.2
[bbac0a1f] WeightedOnlineStats v0.6.3
[48feb556] WilliamsonTransforms v0.1.6
[efce3f68] WoodburyMatrices v1.0.0
[76eceee3] WorkerUtilities v1.6.1
[228000da] XMLDict v0.4.1
[90b8fcef] YAXArrayBase v0.7.5
[c21b50f5] YAXArrays v0.6.1
[0a941bbe] Zarr v0.9.4
[49080126] ZipArchives v2.4.1
[e88e6eb3] Zygote v0.7.6
[700de1a5] ZygoteRules v0.2.7
[0b7ba130] Blosc_jll v1.21.7+0
[6e34b625] Bzip2_jll v1.0.9+0
[83423d85] Cairo_jll v1.18.4+0
[ee1fde0b] Dbus_jll v1.14.10+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 v2.13.4+0
[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
[0234f1f7] HDF5_jll v1.14.6+0
[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
[c1c5ebd0] LAME_jll v3.100.2+0
[88015f11] LERC_jll v4.0.1+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
[5ced341a] Lz4_jll v1.10.1+0
[856f044c] MKL_jll v2025.0.1+1
[7cb0a576] MPICH_jll v4.3.0+1
[f1f71cc9] MPItrampoline_jll v5.5.3+0
[9237b28f] MicrosoftMPI_jll v10.1.4+3
[079eb43e] NLopt_jll v2.10.0+0
[7243133f] NetCDF_jll v401.900.300+0
[e7412a2a] Ogg_jll v1.3.5+1
[fe0851c0] OpenMPI_jll v5.0.7+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 v0.44.2+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
[477f73a3] libaec_jll v1.1.3+0
[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
[a9144af2] libsodium_jll v1.0.21+0
[f27f6e37] libvorbis_jll v1.3.7+2
[337d8026] libzip_jll v1.11.3+0
[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+2
[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 1.11.3
Commit d63adeda50d (2025-01-21 19:42 UTC)
Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: 64 × Intel(R) Xeon(R) Silver 4216 CPU @ 2.10GHz
WORD_SIZE: 64
LLVM: libLLVM-16.0.6 (ORCJIT, cascadelake)
Threads: 96 default, 0 interactive, 48 GC (on 64 virtual cores)
Environment:
JULIA_EDITOR = code
JULIA_NUM_THREADS = 96