Manifest.toml

# This file is machine-generated - editing it directly is not advised

[[AbstractFFTs]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "051c95d6836228d120f5f4b984dd5aba1624f716"
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
version = "0.5.0"

[[AbstractTrees]]
deps = ["Markdown"]
git-tree-sha1 = "33e450545eaf7699da1a6e755f9ea65f14077a45"
uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
version = "0.3.3"

[[Adapt]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "c88cfc7f9c1f9f8633cddf0b56e86302b70f64c5"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "1.0.1"

[[ArnoldiMethod]]
deps = ["DelimitedFiles", "LinearAlgebra", "Random", "SparseArrays", "StaticArrays", "Test"]
git-tree-sha1 = "2b6845cea546604fb4dca4e31414a6a59d39ddcd"
uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
version = "0.0.4"

[[Arpack]]
deps = ["BinaryProvider", "Libdl", "LinearAlgebra"]
git-tree-sha1 = "cd64c112638582ba4f0be9c3e20656499c508565"
uuid = "7d9fca2a-8960-54d3-9f78-7d1dccf2cb97"
version = "0.3.2"

[[ArrayInterface]]
deps = ["LinearAlgebra", "Requires", "SparseArrays"]
git-tree-sha1 = "5f34aee5e5dbc1ce5cfb137d63f719a64d98ae82"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "2.8.5"

[[ArrayLayouts]]
deps = ["FillArrays", "LinearAlgebra"]
git-tree-sha1 = "f8904599065b57f51715faf6278126f853aef6fc"
uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
version = "0.2.4"

[[AxisAlgorithms]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
git-tree-sha1 = "a4d07a1c313392a77042855df46c5f534076fab9"
uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
version = "1.0.0"

[[AxisArrays]]
deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"]
git-tree-sha1 = "f31f50712cbdf40ee8287f0443b57503e34122ef"
uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9"
version = "0.4.3"

[[BSON]]
git-tree-sha1 = "dd36d7cf3d185eeaaf64db902c15174b22f5dafb"
uuid = "fbb218c0-5317-5bc6-957e-2ee96dd4b1f0"
version = "0.2.6"

[[BandedMatrices]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "Random", "SparseArrays"]
git-tree-sha1 = "7633a6282e1219830e9ffdd2b5f45f837f1b8697"
uuid = "aae01518-5342-5314-be14-df237901396f"
version = "0.15.4"

[[Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

[[BinDeps]]
deps = ["Libdl", "Pkg", "SHA", "URIParser", "Unicode"]
git-tree-sha1 = "46cf2c1668ad07aba5a9d331bdeea994a1f13856"
uuid = "9e28174c-4ba2-5203-b857-d8d62c4213ee"
version = "1.0.1"

[[BinaryProvider]]
deps = ["Libdl", "SHA"]
git-tree-sha1 = "5b08ed6036d9d3f0ee6369410b830f8873d4024c"
uuid = "b99e7846-7c00-51b0-8f62-c81ae34c0232"
version = "0.5.8"

[[BlackBoxOptim]]
deps = ["CPUTime", "Compat", "Distributed", "Distributions", "LinearAlgebra", "Printf", "Random", "SpatialIndexing", "StatsBase"]
git-tree-sha1 = "da5cfcc08d24a43fa4e3ad67f565f17838e26fca"
uuid = "a134a8b2-14d6-55f6-9291-3336d3ab0209"
version = "0.5.0"

[[Blosc]]
deps = ["BinaryProvider", "CMakeWrapper", "Libdl"]
git-tree-sha1 = "9981f1795919b8f770dc064fe733ba09c2e7c7a9"
uuid = "a74b3585-a348-5f62-a45c-50e91977d574"
version = "0.6.0"

[[BoundaryValueDiffEq]]
deps = ["BandedMatrices", "DiffEqBase", "DiffEqDiffTools", "ForwardDiff", "LinearAlgebra", "NLsolve", "Reexport", "SparseArrays"]
git-tree-sha1 = "a8f90377cbed43aa583c19471d34d9653853c52d"
uuid = "764a87c0-6b3e-53db-9096-fe964310641d"
version = "2.3.0"

[[BufferedStreams]]
deps = ["Compat", "Test"]
git-tree-sha1 = "5d55b9486590fdda5905c275bb21ce1f0754020f"
uuid = "e1450e63-4bb3-523b-b2a4-4ffa8c0fd77d"
version = "1.0.0"

[[CEnum]]
git-tree-sha1 = "62847acab40e6855a9b5905ccb99c2b5cf6b3ebb"
uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
version = "0.2.0"

[[CMake]]
deps = ["BinDeps"]
git-tree-sha1 = "50a8b41d2c562fccd9ab841085fc7d1e2706da82"
uuid = "631607c0-34d2-5d66-819e-eb0f9aa2061a"
version = "1.2.0"

[[CMakeWrapper]]
deps = ["BinDeps", "CMake", "Libdl", "Parameters", "Test"]
git-tree-sha1 = "16d4acb3d37dc05b714977ffefa8890843dc8985"
uuid = "d5fb7624-851a-54ee-a528-d3f3bac0b4a0"
version = "0.2.3"

[[CPUTime]]
git-tree-sha1 = "2dcc50ea6a0a1ef6440d6eecd0fe3813e5671f45"
uuid = "a9c8d775-2e2e-55fc-8582-045d282d599e"
version = "1.0.0"

[[CUDAapi]]
deps = ["Libdl", "Logging"]
git-tree-sha1 = "56a813440ac98a1aa64672ab460a1512552211a7"
uuid = "3895d2a7-ec45-59b8-82bb-cfc6a382f9b3"
version = "2.1.0"

[[CUDAdrv]]
deps = ["CEnum", "CUDAapi", "Printf"]
git-tree-sha1 = "5660775f2a3214420add960e1ff2baf46d5297cd"
uuid = "c5f51814-7f29-56b8-a69c-e4d8f6be1fde"
version = "5.1.0"

[[CUDAnative]]
deps = ["Adapt", "CEnum", "CUDAapi", "CUDAdrv", "DataStructures", "InteractiveUtils", "LLVM", "Libdl", "Printf", "TimerOutputs"]
git-tree-sha1 = "6e11d5c2c91fc623952e94c4fb73f9c4db74795a"
uuid = "be33ccc6-a3ff-5ff2-a52e-74243cff1e17"
version = "2.7.0"

[[CatIndices]]
deps = ["CustomUnitRanges", "OffsetArrays"]
git-tree-sha1 = "0c91e4fcda51bbd881c5d49ef784460750abcac0"
uuid = "aafaddc9-749c-510e-ac4f-586e18779b91"
version = "0.2.1"

[[CategoricalArrays]]
deps = ["Compat", "DataAPI", "Future", "JSON", "Missings", "Printf", "Reexport", "Statistics", "Unicode"]
git-tree-sha1 = "23d7324164c89638c18f6d7f90d972fa9c4fa9fb"
uuid = "324d7699-5711-5eae-9e2f-1d82baa6b597"
version = "0.7.7"

[[ChainRulesCore]]
deps = ["MuladdMacro"]
git-tree-sha1 = "35b3aaf58aab167c9059293f25e322c854bede5b"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "0.7.4"

[[CodecZlib]]
deps = ["BinaryProvider", "Libdl", "TranscodingStreams"]
git-tree-sha1 = "05916673a2627dd91b4969ff8ba6941bc85a960e"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.6.0"

[[ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "b9de8dc6106e09c79f3f776c27c62360d30e5eb8"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.9.1"

[[ColorVectorSpace]]
deps = ["ColorTypes", "Colors", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "StatsBase"]
git-tree-sha1 = "bd0c0c81a39923bc03f9c3b61d89ad816e741002"
uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
version = "0.8.5"

[[Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "InteractiveUtils", "Printf", "Reexport"]
git-tree-sha1 = "177d8b959d3c103a6d57574c38ee79c81059c31b"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.11.2"

[[CommonSubexpressions]]
deps = ["Test"]
git-tree-sha1 = "efdaf19ab11c7889334ca247ff4c9f7c322817b0"
uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
version = "0.2.0"

[[Compat]]
deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
git-tree-sha1 = "ed2c4abadf84c53d9e58510b5fc48912c2336fbb"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "2.2.0"

[[Compose]]
deps = ["Base64", "Colors", "DataStructures", "Dates", "IterTools", "JSON", "LinearAlgebra", "Measures", "Printf", "Random", "Requires", "UUIDs"]
git-tree-sha1 = "034174e607d254b8ca0853a1a9029b265114bf6c"
uuid = "a81c6b42-2e10-5240-aca2-a61377ecd94b"
version = "0.8.2"

[[ComputationalResources]]
git-tree-sha1 = "52cb3ec90e8a8bea0e62e275ba577ad0f74821f7"
uuid = "ed09eef8-17a6-5b46-8889-db040fac31e3"
version = "0.3.2"

[[Conda]]
deps = ["JSON", "VersionParsing"]
git-tree-sha1 = "7a58bb32ce5d85f8bf7559aa7c2842f9aecf52fc"
uuid = "8f4d0f93-b110-5947-807f-2305c1781a2d"
version = "1.4.1"

[[ConsoleProgressMonitor]]
deps = ["Logging", "ProgressMeter"]
git-tree-sha1 = "3ab7b2136722890b9af903859afcf457fa3059e8"
uuid = "88cd18e8-d9cc-4ea6-8889-5259c0d15c8b"
version = "0.1.2"

[[Contour]]
deps = ["StaticArrays"]
git-tree-sha1 = "6d56f927b33d3820561b8f89d7de311718683846"
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
version = "0.5.2"

[[CoordinateTransformations]]
deps = ["LinearAlgebra", "Rotations", "StaticArrays"]
git-tree-sha1 = "71333ea3f841bca6c1aa2863f11758eb9b37bfbc"
uuid = "150eb455-5306-5404-9cee-2592286d6298"
version = "0.5.1"

[[CoupledFields]]
deps = ["Compat", "StatsBase"]
git-tree-sha1 = "d56f26542bb7af9c0ec16e098a0a33352f3c9d8e"
uuid = "7ad07ef1-bdf2-5661-9d2b-286fd4296dac"
version = "0.1.0"

[[CuArrays]]
deps = ["AbstractFFTs", "Adapt", "CEnum", "CUDAapi", "CUDAdrv", "CUDAnative", "DataStructures", "GPUArrays", "Libdl", "LinearAlgebra", "MacroTools", "NNlib", "Printf", "Random", "Requires", "SparseArrays", "TimerOutputs"]
git-tree-sha1 = "51fbe053dea29ed2513e02d38380007310cf4c4b"
uuid = "3a865a2d-5b23-5a0f-bc46-62713ec82fae"
version = "1.6.0"

[[CustomUnitRanges]]
git-tree-sha1 = "0d42a23be3acfb3c58569b28ed3ab8bd67af5ced"
uuid = "dc8bdbbb-1ca9-579f-8c36-e416f6a65cce"
version = "1.0.0"

[[DataAPI]]
git-tree-sha1 = "00612b2fbe534a539dc7f70106c71e3a943d9b98"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.2.0"

[[DataStructures]]
deps = ["InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "9faa13be79557bf4c5713fb912b0e3c5aa33d046"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.17.13"

[[Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

[[DelayDiffEq]]
deps = ["DataStructures", "DiffEqBase", "LinearAlgebra", "Logging", "OrdinaryDiffEq", "Parameters", "Printf", "RecursiveArrayTools", "Reexport", "Roots"]
git-tree-sha1 = "71ee0eba1f9301462f94f9b2c7c7c321a2d501c8"
uuid = "bcd4f6db-9728-5f36-b5f7-82caef46ccdb"
version = "5.23.0"

[[DelimitedFiles]]
deps = ["Mmap"]
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"

[[DiffEqBase]]
deps = ["ArrayInterface", "ChainRulesCore", "ConsoleProgressMonitor", "DataStructures", "Distributed", "DocStringExtensions", "FunctionWrappers", "IterativeSolvers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "LoggingExtras", "MuladdMacro", "Parameters", "Printf", "ProgressLogging", "RecipesBase", "RecursiveArrayTools", "RecursiveFactorization", "Requires", "Roots", "SparseArrays", "StaticArrays", "Statistics", "SuiteSparse", "TableTraits", "TerminalLoggers", "TreeViews", "ZygoteRules"]
git-tree-sha1 = "9e48f5ae19cfda8428275d290bee522f0896cdd5"
uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
version = "6.20.0"

[[DiffEqCallbacks]]
deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "NLsolve", "OrdinaryDiffEq", "RecipesBase", "RecursiveArrayTools", "StaticArrays"]
git-tree-sha1 = "ffa3928e016a0036c36ffdd3e182d9056acea259"
uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
version = "2.13.0"

[[DiffEqDiffTools]]
deps = ["ArrayInterface", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays"]
git-tree-sha1 = "a4ed8a740484627ea41b47f7e1a25dd909a28353"
uuid = "01453d9d-ee7c-5054-8395-0335cb756afa"
version = "1.7.0"

[[DiffEqFinancial]]
deps = ["DiffEqBase", "DiffEqNoiseProcess", "LinearAlgebra", "Markdown", "RandomNumbers"]
git-tree-sha1 = "734f3cc101f9b90ddf4bc8bf1fdddf3d9f185a66"
uuid = "5a0ffddc-d203-54b0-88ba-2c03c0fc2e67"
version = "2.2.1"

[[DiffEqFlux]]
deps = ["Adapt", "DiffEqBase", "DiffEqSensitivity", "DiffResults", "Flux", "ForwardDiff", "Juno", "LinearAlgebra", "Logging", "Optim", "RecursiveArrayTools", "Requires", "ReverseDiff", "StaticArrays", "Tracker", "ZygoteRules"]
git-tree-sha1 = "145c4578542cf7ba8781d672dae1b6e371810f2d"
uuid = "aae7a2af-3d4f-5e19-a356-7da93b79d9d0"
version = "1.7.0"

[[DiffEqJump]]
deps = ["Compat", "DataStructures", "DiffEqBase", "FunctionWrappers", "LinearAlgebra", "Parameters", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Statistics", "TreeViews"]
git-tree-sha1 = "8686b4d0acde11951d179166183f5d7cb77833d9"
uuid = "c894b116-72e5-5b58-be3c-e6d8d4ac2b12"
version = "6.5.0"

[[DiffEqMonteCarlo]]
deps = ["DiffEqBase", "Distributed", "RecursiveArrayTools", "StaticArrays", "Statistics"]
git-tree-sha1 = "edffd3e114b5c2cad15e7790db6d82f69e3f42ae"
uuid = "78ddff82-25fc-5f2b-89aa-309469cbf16f"
version = "0.15.1"

[[DiffEqNoiseProcess]]
deps = ["DataStructures", "DiffEqBase", "LinearAlgebra", "Random", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "Requires", "ResettableStacks", "StaticArrays", "Statistics"]
git-tree-sha1 = "b50157cc76e506e946ac897a6b94bdc7d3f34ba3"
uuid = "77a26b50-5914-5dd7-bc55-306e6241c503"
version = "3.10.0"

[[DiffEqPhysics]]
deps = ["DiffEqBase", "DiffEqCallbacks", "ForwardDiff", "LinearAlgebra", "Printf", "Random", "RecipesBase", "RecursiveArrayTools", "Reexport", "StaticArrays"]
git-tree-sha1 = "b1df3e0c01c7ce4e6371579a1f4187b2c9f3bfed"
uuid = "055956cb-9e8b-5191-98cc-73ae4a59e68a"
version = "3.5.0"

[[DiffEqSensitivity]]
deps = ["Adapt", "DiffEqBase", "DiffEqCallbacks", "Distributions", "FFTW", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "Parameters", "QuadGK", "QuasiMonteCarlo", "RecursiveArrayTools", "ReverseDiff", "Statistics", "Tracker", "Zygote", "ZygoteRules"]
git-tree-sha1 = "c7f54710eef093873eb8473da90438830b62b650"
uuid = "41bf760c-e81c-5289-8e54-58b1f1f8abe2"
version = "6.13.0"

[[DiffResults]]
deps = ["StaticArrays"]
git-tree-sha1 = "da24935df8e0c6cf28de340b958f6aac88eaa0cc"
uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
version = "1.0.2"

[[DiffRules]]
deps = ["NaNMath", "Random", "SpecialFunctions"]
git-tree-sha1 = "eb0c34204c8410888844ada5359ac8b96292cfd1"
uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
version = "1.0.1"

[[DifferentialEquations]]
deps = ["BoundaryValueDiffEq", "DelayDiffEq", "DiffEqBase", "DiffEqCallbacks", "DiffEqFinancial", "DiffEqJump", "DiffEqNoiseProcess", "DiffEqPhysics", "DimensionalPlotRecipes", "LinearAlgebra", "MultiScaleArrays", "OrdinaryDiffEq", "Random", "RecursiveArrayTools", "Reexport", "SteadyStateDiffEq", "StochasticDiffEq", "Sundials"]
git-tree-sha1 = "29f0c1b3902833bea45eb441685d296f1a21e7e6"
uuid = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
version = "6.11.0"

[[DimensionalPlotRecipes]]
deps = ["LinearAlgebra", "RecipesBase"]
git-tree-sha1 = "af883a26bbe6e3f5f778cb4e1b81578b534c32a6"
uuid = "c619ae07-58cd-5f6d-b883-8f17bd6a98f9"
version = "1.2.0"

[[Distances]]
deps = ["LinearAlgebra", "Statistics"]
git-tree-sha1 = "23717536c81b63e250f682b0e0933769eecd1411"
uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
version = "0.8.2"

[[Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"

[[Distributions]]
deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns"]
git-tree-sha1 = "c4ed10355637fcb0725dc6a27060f74df24f13cd"
uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
version = "0.23.2"

[[DocStringExtensions]]
deps = ["LibGit2", "Markdown", "Pkg", "Test"]
git-tree-sha1 = "88bb0edb352b16608036faadcc071adda068582a"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.8.1"

[[EllipsisNotation]]
git-tree-sha1 = "65dad386e877850e6fce4fc77f60fe75a468ce9d"
uuid = "da5c29d0-fa7d-589e-88eb-ea29b0a81949"
version = "0.4.0"

[[ExponentialUtilities]]
deps = ["LinearAlgebra", "Printf", "SparseArrays"]
git-tree-sha1 = "1672dedeacaab85345fd359ad56dde8fb5d48a45"
uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18"
version = "1.6.0"

[[FFTViews]]
deps = ["CustomUnitRanges", "FFTW"]
git-tree-sha1 = "70a0cfd9b1c86b0209e38fbfe6d8231fd606eeaf"
uuid = "4f61f5a4-77b1-5117-aa51-3ab5ef4ef0cd"
version = "0.3.1"

[[FFTW]]
deps = ["AbstractFFTs", "BinaryProvider", "Conda", "Libdl", "LinearAlgebra", "Reexport"]
git-tree-sha1 = "4cfd3d43819228b9e73ab46600d0af0aa5cedceb"
uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
version = "1.1.0"

[[FileIO]]
deps = ["Pkg"]
git-tree-sha1 = "3d7cb2c4c850439f19c4d6d3fbe1dce6481cddb1"
uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
version = "1.2.4"

[[FillArrays]]
deps = ["LinearAlgebra", "Random", "SparseArrays"]
git-tree-sha1 = "51cc2f9bc4eb9c6c0e81ec2f779d1085583cc956"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "0.8.7"

[[FiniteDiff]]
deps = ["ArrayInterface", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays"]
git-tree-sha1 = "f60e5d6944975f7140bde67278e10b6b01fb4f29"
uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
version = "2.3.0"

[[FixedPointNumbers]]
git-tree-sha1 = "4aaea64dd0c30ad79037084f8ca2b94348e65eaa"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.7.1"

[[Flux]]
deps = ["AbstractTrees", "Adapt", "CodecZlib", "Colors", "CuArrays", "DelimitedFiles", "Juno", "MacroTools", "NNlib", "Pkg", "Printf", "Random", "Reexport", "SHA", "Statistics", "StatsBase", "Test", "ZipFile", "Zygote"]
git-tree-sha1 = "b5647a92b4d547f835b0eac904331a97c45d773d"
uuid = "587475ba-b771-5e3f-ad9e-33799f191a9c"
version = "0.10.3"

[[ForwardDiff]]
deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "NaNMath", "Random", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "869540e4367122fbffaace383a5bdc34d6e5e5ac"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.10"

[[FunctionWrappers]]
git-tree-sha1 = "e4813d187be8c7b993cb7f85cbf2b7bfbaadc694"
uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
version = "1.1.1"

[[Future]]
deps = ["Random"]
uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"

[[GPUArrays]]
deps = ["AbstractFFTs", "Adapt", "LinearAlgebra", "Printf", "Random", "Serialization"]
git-tree-sha1 = "e756da6cee76a5f1436a05827fa8fdf3badc577f"
uuid = "0c68f7d7-f131-5f86-a1c3-88cf8149b2d7"
version = "2.0.1"

[[Gadfly]]
deps = ["Base64", "CategoricalArrays", "Colors", "Compose", "Contour", "CoupledFields", "DataStructures", "Dates", "Distributions", "DocStringExtensions", "Hexagons", "IndirectArrays", "IterTools", "JSON", "Juno", "KernelDensity", "LinearAlgebra", "Loess", "Measures", "Printf", "REPL", "Random", "Requires", "Showoff", "Statistics"]
git-tree-sha1 = "fb92aef6380b6d9a252b2200c9405fcfdad31065"
uuid = "c91e804a-d5a3-530f-b6f0-dfbca275c004"
version = "1.2.1"

[[GenericSVD]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "c59a30ef95fa4b5e0567c1911652e0c70a5d055c"
uuid = "01680d73-4ee2-5a08-a1aa-533608c188bb"
version = "0.2.2"

[[Graphics]]
deps = ["Colors", "LinearAlgebra", "NaNMath"]
git-tree-sha1 = "45d684ead5b65c043ad46bd5be750d61c39d7ef8"
uuid = "a2bd30eb-e257-5431-a919-1863eab51364"
version = "1.0.2"

[[HDF5]]
deps = ["BinaryProvider", "Blosc", "CMakeWrapper", "Libdl", "Mmap"]
git-tree-sha1 = "d3ea5532668bf9bdd5e8d5f16571e0b520cbbb9f"
uuid = "f67ccb44-e63f-5c2f-98bd-6dc0ccc4ba2f"
version = "0.12.5"

[[Hexagons]]
deps = ["Test"]
git-tree-sha1 = "de4a6f9e7c4710ced6838ca906f81905f7385fd6"
uuid = "a1b4810d-1bce-5fbd-ac56-80944d57a21f"
version = "0.2.0"

[[IRTools]]
deps = ["InteractiveUtils", "MacroTools", "Test"]
git-tree-sha1 = "8845400bd2d9815d37720251f1b53d27a335e1f4"
uuid = "7869d1d1-7146-5819-86e3-90919afe41df"
version = "0.3.2"

[[IdentityRanges]]
deps = ["OffsetArrays"]
git-tree-sha1 = "be8fcd695c4da16a1d6d0cd213cb88090a150e3b"
uuid = "bbac6d45-d8f3-5730-bfe4-7a449cd117ca"
version = "0.3.1"

[[ImageAxes]]
deps = ["AxisArrays", "ImageCore", "MappedArrays", "Reexport", "SimpleTraits"]
git-tree-sha1 = "c0aca8db7e9fddda18c9cebff5d147b0e799d676"
uuid = "2803e5a7-5153-5ecf-9a86-9b4c37f5f5ac"
version = "0.6.4"

[[ImageContrastAdjustment]]
deps = ["ColorVectorSpace", "ImageCore", "ImageTransformations", "MappedArrays", "Parameters"]
git-tree-sha1 = "d22d89e03c8f617e0ae31886ca60e291b548cf59"
uuid = "f332f351-ec65-5f6a-b3d1-319c6670881a"
version = "0.3.5"

[[ImageCore]]
deps = ["Colors", "FixedPointNumbers", "Graphics", "MappedArrays", "MosaicViews", "OffsetArrays", "PaddedViews", "Reexport", "Requires"]
git-tree-sha1 = "a652c05f8f374861580d420b420fddf3e2e84312"
uuid = "a09fc81d-aa75-5fe9-8630-4744c3626534"
version = "0.8.14"

[[ImageDistances]]
deps = ["ColorVectorSpace", "Distances", "ImageCore", "LinearAlgebra", "MappedArrays", "Statistics"]
git-tree-sha1 = "cf9b02b9f5e33c768c223de6d8f7d1b6d0cf4136"
uuid = "51556ac3-7006-55f5-8cb3-34580c88182d"
version = "0.2.7"

[[ImageFiltering]]
deps = ["CatIndices", "ColorVectorSpace", "ComputationalResources", "DataStructures", "FFTViews", "FFTW", "ImageCore", "ImageMetadata", "LinearAlgebra", "MappedArrays", "OffsetArrays", "Requires", "StaticArrays", "Statistics", "TiledIteration"]
git-tree-sha1 = "c8aebfbdbb2f12665448de007f635a1910b476e4"
uuid = "6a3955dd-da59-5b1f-98d4-e7296123deb5"
version = "0.6.11"

[[ImageMetadata]]
deps = ["AxisArrays", "ColorVectorSpace", "ImageAxes", "ImageCore", "IndirectArrays"]
git-tree-sha1 = "5c2c78dc11343d83320e790379e0f58de3aa1b7e"
uuid = "bc367c6b-8a6b-528e-b4bd-a4b897500b49"
version = "0.9.1"

[[ImageMorphology]]
deps = ["ImageCore"]
git-tree-sha1 = "e41dd25ebf8de738a8ff4f1058a1823a7fe509cf"
uuid = "787d08f9-d448-5407-9aad-5290dd7ab264"
version = "0.2.5"

[[ImageQualityIndexes]]
deps = ["ColorVectorSpace", "ImageCore", "ImageDistances", "ImageFiltering", "MappedArrays", "Statistics"]
git-tree-sha1 = "3af30042a8fe85612a6a106cb20ca2fa1eb67bd6"
uuid = "2996bd0c-7a13-11e9-2da2-2f5ce47296a9"
version = "0.1.4"

[[ImageShow]]
deps = ["Base64", "FileIO", "ImageCore", "Requires"]
git-tree-sha1 = "c9df184bc7c2e665f971079174aabb7d18f1845f"
uuid = "4e3cecfd-b093-5904-9786-8bbb286a6a31"
version = "0.2.3"

[[ImageTransformations]]
deps = ["AxisAlgorithms", "ColorVectorSpace", "CoordinateTransformations", "IdentityRanges", "ImageCore", "Interpolations", "OffsetArrays", "StaticArrays"]
git-tree-sha1 = "34e3b7549af44043e37ba321334afa322ec63a9d"
uuid = "02fcd773-0e25-5acc-982a-7f6622650795"
version = "0.8.4"

[[Images]]
deps = ["AxisArrays", "Base64", "ColorVectorSpace", "FileIO", "Graphics", "ImageAxes", "ImageContrastAdjustment", "ImageCore", "ImageDistances", "ImageFiltering", "ImageMetadata", "ImageMorphology", "ImageQualityIndexes", "ImageShow", "ImageTransformations", "IndirectArrays", "MappedArrays", "OffsetArrays", "Random", "Reexport", "SparseArrays", "StaticArrays", "Statistics", "StatsBase", "TiledIteration"]
git-tree-sha1 = "bc7ecabe5ef4d64fea25660bc5aa514a603e4468"
uuid = "916415d5-f1e6-5110-898d-aaa5f9f070e0"
version = "0.22.2"

[[IndirectArrays]]
git-tree-sha1 = "c2a145a145dc03a7620af1444e0264ef907bd44f"
uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959"
version = "0.5.1"

[[Inflate]]
git-tree-sha1 = "f5fc07d4e706b84f72d54eedcc1c13d92fb0871c"
uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
version = "0.1.2"

[[InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

[[Interpolations]]
deps = ["AxisAlgorithms", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
git-tree-sha1 = "3af735234d9b1ff9ff1af89875735cd9549c0c5f"
uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
version = "0.12.9"

[[IntervalSets]]
deps = ["Dates", "EllipsisNotation", "Statistics"]
git-tree-sha1 = "2daa370870d2a4d198642277d050aa7d34a7cad2"
uuid = "8197267c-284f-5f27-9208-e0e47529a953"
version = "0.5.0"

[[IterTools]]
git-tree-sha1 = "05110a2ab1fc5f932622ffea2a003221f4782c18"
uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
version = "1.3.0"

[[IterativeSolvers]]
deps = ["LinearAlgebra", "Printf", "Random", "RecipesBase", "SparseArrays"]
git-tree-sha1 = "3b7e2aac8c94444947facea7cc7ca91c49169be0"
uuid = "42fd0dbc-a981-5370-80f2-aaf504508153"
version = "0.8.4"

[[IteratorInterfaceExtensions]]
git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
uuid = "82899510-4779-5014-852e-03e436cf321d"
version = "1.0.0"

[[JLD]]
deps = ["Compat", "FileIO", "HDF5", "LegacyStrings"]
git-tree-sha1 = "c8c7a9ca4c17a519961a8ec27e508b07ffc9c1a9"
uuid = "4138dd39-2aa7-5051-a626-17a0bb65d9c8"
version = "0.9.2"

[[JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "b34d7cef7b337321e97d22242c3c2b91f476748e"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.0"

[[Juno]]
deps = ["Base64", "Logging", "Media", "Profile"]
git-tree-sha1 = "e1ba2a612645b3e07c773c3a208f215745081fe6"
uuid = "e5e0dc1b-0480-54bc-9374-aad01c23163d"
version = "0.8.1"

[[KernelDensity]]
deps = ["Distributions", "FFTW", "Interpolations", "Optim", "StatsBase", "Test"]
git-tree-sha1 = "c1048817fe5711f699abc8fabd47b1ac6ba4db04"
uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
version = "0.5.1"

[[LLVM]]
deps = ["CEnum", "Libdl", "Printf", "Unicode"]
git-tree-sha1 = "b6b86801ae2f2682e0a4889315dc76b68db2de71"
uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
version = "1.3.4"

[[LatinHypercubeSampling]]
deps = ["Random", "StatsBase", "Test"]
git-tree-sha1 = "f6df9a2cd3c2ee1123c39fac3cca18993fc88247"
uuid = "a5e1c1ea-c99a-51d3-a14d-a9a37257b02d"
version = "1.6.4"

[[LeftChildRightSiblingTrees]]
deps = ["AbstractTrees"]
git-tree-sha1 = "71be1eb5ad19cb4f61fa8c73395c0338fd092ae0"
uuid = "1d6d02ad-be62-4b6b-8a6d-2f90e265016e"
version = "0.1.2"

[[LegacyStrings]]
deps = ["Compat"]
git-tree-sha1 = "d4b9bde2694c552fe579cc4462733f1ce08733fe"
uuid = "1b4a561d-cfcb-5daf-8433-43fcf8b4bea3"
version = "0.4.1"

[[LibGit2]]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

[[Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

[[LightGraphs]]
deps = ["ArnoldiMethod", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
git-tree-sha1 = "e85fa18ae33a3ef55243d2c2c9f6ccea6f541566"
uuid = "093fc24a-ae57-5d10-9952-331d41423f4d"
version = "1.3.2"

[[LineSearches]]
deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf", "Test"]
git-tree-sha1 = "54eb90e8dbe745d617c78dee1d6ae95c7f6f5779"
uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
version = "7.0.1"

[[LinearAlgebra]]
deps = ["Libdl"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

[[Loess]]
deps = ["Distances", "Statistics"]
git-tree-sha1 = "67b1bc5f42144fb83b065b8a8e117e56ec10e601"
uuid = "4345ca2d-374a-55d4-8d30-97f9976e7612"
version = "0.5.1"

[[Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

[[LoggingExtras]]
git-tree-sha1 = "c867b50bfc564f0beded1c566f4fc66cfd8b5418"
uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
version = "0.4.0"

[[MAT]]
deps = ["BufferedStreams", "CodecZlib", "HDF5", "SparseArrays"]
git-tree-sha1 = "33db0ab3000dabd036867b3dd09b41c29a31ed9a"
uuid = "23992714-dd62-5051-b70f-ba57cb901cac"
version = "0.7.0"

[[MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "f7d2e3f654af75f01ec49be82c231c382214223a"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.5"

[[MappedArrays]]
git-tree-sha1 = "e2a02fe7ee86a10c707ff1756ab1650b40b140bb"
uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900"
version = "0.2.2"

[[Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

[[Measures]]
git-tree-sha1 = "e498ddeee6f9fdb4551ce855a46f54dbd900245f"
uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
version = "0.3.1"

[[Media]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "75a54abd10709c01f1b86b84ec225d26e840ed58"
uuid = "e89f7d12-3494-54d1-8411-f7d8b9ae1f27"
version = "0.5.0"

[[Metalhead]]
deps = ["BSON", "ColorTypes", "Flux", "ImageFiltering", "Images", "REPL", "Requires", "Statistics"]
git-tree-sha1 = "3a8d7fdf742e8a90b1e388a9ddd0412a60ed1636"
uuid = "dbeba491-748d-5e0e-a39e-b530a07fa0cc"
version = "0.5.0"

[[Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "de0a5ce9e5289f27df672ffabef4d1e5861247d5"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "0.4.3"

[[Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"

[[MosaicViews]]
deps = ["OffsetArrays", "PaddedViews"]
git-tree-sha1 = "b483b88403ac0ac01667778cbb29462b111b1deb"
uuid = "e94cdb99-869f-56ef-bcf0-1ae2bcbe0389"
version = "0.2.2"

[[MuladdMacro]]
git-tree-sha1 = "c6190f9a7fc5d9d5915ab29f2134421b12d24a68"
uuid = "46d2c3a1-f734-5fdb-9937-b9b9aeba4221"
version = "0.2.2"

[[MultiScaleArrays]]
deps = ["DiffEqBase", "RecursiveArrayTools", "Statistics", "StochasticDiffEq", "TreeViews"]
git-tree-sha1 = "c69e4a0db8d482a825c7ac76a433759ade2a5af2"
uuid = "f9640e96-87f6-5992-9c3b-0743c6a49ffa"
version = "1.6.0"

[[NLSolversBase]]
deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
git-tree-sha1 = "7c4e66c47848562003250f28b579c584e55becc0"
uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
version = "7.6.1"

[[NLsolve]]
deps = ["Distances", "LineSearches", "LinearAlgebra", "NLSolversBase", "Printf", "Reexport"]
git-tree-sha1 = "cce0463af83a0f36c7bfa5820e373ac090cc46ad"
uuid = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
version = "4.3.0"

[[NNlib]]
deps = ["BinaryProvider", "Libdl", "LinearAlgebra", "Requires", "Statistics"]
git-tree-sha1 = "d9f196d911f55aeaff11b11f681b135980783824"
uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
version = "0.6.6"

[[NaNMath]]
git-tree-sha1 = "928b8ca9b2791081dc71a51c55347c27c618760f"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "0.3.3"

[[OffsetArrays]]
git-tree-sha1 = "930db8ef90483570107f2396b1ffc6680f08e8b7"
uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
version = "1.0.4"

[[Optim]]
deps = ["FillArrays", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
git-tree-sha1 = "08f170ff0dcf07f4edb567020fcab47f415da207"
uuid = "429524aa-4258-5aef-a3af-852621145aeb"
version = "0.20.1"

[[OrderedCollections]]
deps = ["Random", "Serialization", "Test"]
git-tree-sha1 = "c4c13474d23c60d20a67b217f1d7f22a40edf8f1"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.1.0"

[[OrdinaryDiffEq]]
deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "ExponentialUtilities", "FiniteDiff", "ForwardDiff", "GenericSVD", "LinearAlgebra", "Logging", "MacroTools", "MuladdMacro", "Parameters", "RecursiveArrayTools", "Reexport", "SparseArrays", "SparseDiffTools", "StaticArrays"]
git-tree-sha1 = "2c1f4b00c114766f7155b4df4529403339ce0e56"
uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
version = "5.29.0"

[[PDMats]]
deps = ["Arpack", "LinearAlgebra", "SparseArrays", "SuiteSparse", "Test"]
git-tree-sha1 = "2fc6f50ddd959e462f0a2dbc802ddf2a539c6e35"
uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
version = "0.9.12"

[[PaddedViews]]
deps = ["OffsetArrays"]
git-tree-sha1 = "100195a79b577d5747db98bf1732c3686285fa1e"
uuid = "5432bcbf-9aad-5242-b902-cca2824c8663"
version = "0.5.5"

[[Parameters]]
deps = ["OrderedCollections"]
git-tree-sha1 = "b62b2558efb1eef1fa44e4be5ff58a515c287e38"
uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
version = "0.12.0"

[[Parsers]]
deps = ["Dates", "Test"]
git-tree-sha1 = "f8f5d2d4b4b07342e5811d2b6428e45524e241df"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "1.0.2"

[[Pkg]]
deps = ["Dates", "LibGit2", "Markdown", "Printf", "REPL", "Random", "SHA", "UUIDs"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"

[[PoissonRandom]]
deps = ["Random", "Statistics", "Test"]
git-tree-sha1 = "44d018211a56626288b5d3f8c6497d28c26dc850"
uuid = "e409e4f3-bfea-5376-8464-e040bb5c01ab"
version = "0.4.0"

[[PositiveFactorizations]]
deps = ["LinearAlgebra", "Test"]
git-tree-sha1 = "127c47b91990c101ee3752291c4f45640eeb03d1"
uuid = "85a6dd25-e78a-55b7-8502-1745935b8125"
version = "0.2.3"

[[Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[Profile]]
deps = ["Printf"]
uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"

[[ProgressLogging]]
deps = ["Logging", "SHA", "UUIDs"]
git-tree-sha1 = "e47914361d124d8760f5e356403daeb7f3b81633"
uuid = "33c8b6b6-d38a-422a-b730-caa89a2f386c"
version = "0.1.2"

[[ProgressMeter]]
deps = ["Distributed", "Printf"]
git-tree-sha1 = "ea1f4fa0ff5e8b771bf130d87af5b7ef400760bd"
uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
version = "1.2.0"

[[QuadGK]]
deps = ["DataStructures", "LinearAlgebra"]
git-tree-sha1 = "dc84e810393cfc6294248c9032a9cdacc14a3db4"
uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
version = "2.3.1"

[[QuasiMonteCarlo]]
deps = ["Distributions", "LatinHypercubeSampling", "Sobol"]
git-tree-sha1 = "b90f9ff53b4c1f14eee512626cd8e7f9791b20a2"
uuid = "8a4e6c94-4038-4cdc-81c3-7e6ffdb2a71b"
version = "0.2.0"

[[REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[Random]]
deps = ["Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[RandomNumbers]]
deps = ["Random", "Requires"]
git-tree-sha1 = "441e6fc35597524ada7f85e13df1f4e10137d16f"
uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
version = "1.4.0"

[[RangeArrays]]
git-tree-sha1 = "b9039e93773ddcfc828f12aadf7115b4b4d225f5"
uuid = "b3c3ace0-ae52-54e7-9d0b-2c1406fd6b9d"
version = "0.3.2"

[[Ratios]]
git-tree-sha1 = "37d210f612d70f3f7d57d488cb3b6eff56ad4e41"
uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
version = "0.4.0"

[[RecipesBase]]
git-tree-sha1 = "b4ed4a7f988ea2340017916f7c9e5d7560b52cae"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "0.8.0"

[[RecursiveArrayTools]]
deps = ["ArrayInterface", "RecipesBase", "Requires", "StaticArrays", "Statistics", "ZygoteRules"]
git-tree-sha1 = "01af091d2e62b907f6bb65ea2e7c12208131cf17"
uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
version = "2.2.0"

[[RecursiveFactorization]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "6761a5d1f9646affb2a369ff932841fff77934a3"
uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
version = "0.1.0"

[[Reexport]]
deps = ["Pkg"]
git-tree-sha1 = "7b1d07f411bc8ddb7977ec7f377b97b158514fe0"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "0.2.0"

[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "d37400976e98018ee840e0ca4f9d20baa231dc6b"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.0.1"

[[ResettableStacks]]
deps = ["StaticArrays"]
git-tree-sha1 = "d19e9c93de6020a96dbb2820567c78d0ab8f7248"
uuid = "ae5879a3-cd67-5da8-be7f-38c6eb64a37b"
version = "1.0.0"

[[ReverseDiff]]
deps = ["DiffResults", "DiffRules", "ForwardDiff", "FunctionWrappers", "LinearAlgebra", "MacroTools", "NaNMath", "Random", "SpecialFunctions", "StaticArrays", "Statistics"]
git-tree-sha1 = "1d4a01bc6fe181e4fef376affb3f90bad584b0f4"
uuid = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
version = "1.2.0"

[[Rmath]]
deps = ["BinaryProvider", "Libdl", "Random", "Statistics"]
git-tree-sha1 = "2bbddcb984a1d08612d0c4abb5b4774883f6fa98"
uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
version = "0.6.0"

[[Roots]]
deps = ["Printf"]
git-tree-sha1 = "955ce06c1f424ca7043c7827f5cb14d8eb397065"
uuid = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"
version = "1.0.1"

[[Rotations]]
deps = ["LinearAlgebra", "StaticArrays", "Statistics"]
git-tree-sha1 = "d5f83867093db7319a9366d55f29280ecae9bcda"
uuid = "6038ab10-8711-5258-84ad-4b1120ba62dc"
version = "0.13.0"

[[SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"

[[Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[SharedArrays]]
deps = ["Distributed", "Mmap", "Random", "Serialization"]
uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"

[[Showoff]]
deps = ["Dates"]
git-tree-sha1 = "e032c9df551fb23c9f98ae1064de074111b7bc39"
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
version = "0.3.1"

[[SimpleTraits]]
deps = ["InteractiveUtils", "MacroTools"]
git-tree-sha1 = "2ee666b24ab8be6a922f9d6c11a86e1a703a7dda"
uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
version = "0.9.2"

[[Sobol]]
deps = ["Random"]
git-tree-sha1 = "f8afbde90f4e2d5e579dae4b0e71f931b2e194ca"
uuid = "ed01d8cd-4d21-5b2a-85b4-cc3bdc58bad4"
version = "1.3.0"

[[Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[SortingAlgorithms]]
deps = ["DataStructures", "Random", "Test"]
git-tree-sha1 = "03f5898c9959f8115e30bc7226ada7d0df554ddd"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "0.3.1"

[[SparseArrays]]
deps = ["LinearAlgebra", "Random"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[SparseDiffTools]]
deps = ["Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "InteractiveUtils", "LightGraphs", "LinearAlgebra", "Requires", "SparseArrays", "VertexSafeGraphs"]
git-tree-sha1 = "132c55cf302f1faf1d0d1c8205453764066cb018"
uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
version = "1.6.0"

[[SpatialIndexing]]
deps = ["Printf", "Random", "Test"]
git-tree-sha1 = "7bc6fc5c363aae476ec2c8bc527aef104b90c779"
uuid = "d4ead438-fe20-5cc5-a293-4fd39a41b74c"
version = "0.1.2"

[[SpecialFunctions]]
deps = ["BinDeps", "BinaryProvider", "Libdl"]
git-tree-sha1 = "3bdd374b6fd78faf0119b8c5d538788dbf910c6e"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "0.8.0"

[[StaticArrays]]
deps = ["LinearAlgebra", "Random", "Statistics"]
git-tree-sha1 = "5a3bcb6233adabde68ebc97be66e95dcb787424c"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "0.12.1"

[[Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

[[StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics"]
git-tree-sha1 = "19bfcb46245f69ff4013b3df3b977a289852c3a1"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.32.2"

[[StatsFuns]]
deps = ["Rmath", "SpecialFunctions"]
git-tree-sha1 = "f290ddd5fdedeadd10e961eb3f4d3340f09d030a"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
version = "0.9.4"

[[SteadyStateDiffEq]]
deps = ["DiffEqBase", "DiffEqCallbacks", "LinearAlgebra", "NLsolve", "Reexport"]
git-tree-sha1 = "9a2de84a1618e1702dbb95ebdbb84dbf7f24d1ab"
uuid = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f"
version = "1.5.0"

[[StochasticDiffEq]]
deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "DiffEqNoiseProcess", "FillArrays", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "Logging", "MuladdMacro", "NLsolve", "Parameters", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SparseArrays", "SparseDiffTools", "StaticArrays"]
git-tree-sha1 = "d87e6bdb20f822ee5840dc3efe0b6285c0710100"
uuid = "789caeaf-c7a9-5a7d-9973-96adeb23e2a0"
version = "6.19.2"

[[SuiteSparse]]
deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"

[[Sundials]]
deps = ["BinaryProvider", "DataStructures", "DiffEqBase", "Libdl", "LinearAlgebra", "Logging", "Reexport", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "995b04b187de48c3223e05f8b9864eda1b960368"
uuid = "c3572dad-4567-51f8-b174-8c6c989267f4"
version = "3.8.3"

[[TableTraits]]
deps = ["IteratorInterfaceExtensions"]
git-tree-sha1 = "b1ad568ba658d8cbb3b892ed5380a6f3e781a81e"
uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
version = "1.0.0"

[[TerminalLoggers]]
deps = ["LeftChildRightSiblingTrees", "Logging", "Markdown", "Printf", "ProgressLogging", "UUIDs"]
git-tree-sha1 = "8c05be75dfe73d90e5dfb6293e0c852013f7282d"
uuid = "5d786b92-1e48-4d6f-9151-6b4477ca9bed"
version = "0.1.1"

[[Test]]
deps = ["Distributed", "InteractiveUtils", "Logging", "Random"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[TiledIteration]]
deps = ["OffsetArrays"]
git-tree-sha1 = "98693daea9bb49aba71eaad6b168b152d2310358"
uuid = "06e1c1a7-607b-532d-9fad-de7d9aa2abac"
version = "0.2.4"

[[TimerOutputs]]
deps = ["Printf"]
git-tree-sha1 = "0cc8db57cb537191b02948d4fabdc09eb7f31f98"
uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
version = "0.5.5"

[[Tracker]]
deps = ["Adapt", "DiffRules", "ForwardDiff", "LinearAlgebra", "MacroTools", "NNlib", "NaNMath", "Printf", "Random", "Requires", "SpecialFunctions", "Statistics", "Test"]
git-tree-sha1 = "86929a5811dca5ce76c65a1d3fecda92d90c2e49"
uuid = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
version = "0.2.6"

[[TranscodingStreams]]
deps = ["Random", "Test"]
git-tree-sha1 = "7c53c35547de1c5b9d46a4797cf6d8253807108c"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.9.5"

[[TreeViews]]
deps = ["Test"]
git-tree-sha1 = "8d0d7a3fe2f30d6a7f833a5f19f7c7a5b396eae6"
uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
version = "0.3.0"

[[URIParser]]
deps = ["Unicode"]
git-tree-sha1 = "53a9f49546b8d2dd2e688d216421d050c9a31d0d"
uuid = "30578b45-9adc-5946-b283-645ec420af67"
version = "0.4.1"

[[UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

[[Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

[[VersionParsing]]
git-tree-sha1 = "80229be1f670524750d905f8fc8148e5a8c4537f"
uuid = "81def892-9a0e-5fdd-b105-ffc91e053289"
version = "1.2.0"

[[VertexSafeGraphs]]
deps = ["LightGraphs"]
git-tree-sha1 = "35060f8047a2b79bdc8e4961bbbd2b7e30e62709"
uuid = "19fa3120-7c27-5ec5-8db8-b0b0aa330d6f"
version = "0.1.1"

[[WoodburyMatrices]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "28ffe06d28b1ba8fdb2f36ec7bb079fac81bac0d"
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
version = "0.5.2"

[[ZipFile]]
deps = ["BinaryProvider", "Libdl", "Printf"]
git-tree-sha1 = "7fbfbc51c186f0ccdbe091f32d3dff8608973f8e"
uuid = "a5390f91-8eb1-5f08-bee0-b1d1ffed6cea"
version = "0.8.4"

[[Zygote]]
deps = ["AbstractFFTs", "ArrayLayouts", "DiffRules", "FillArrays", "ForwardDiff", "IRTools", "InteractiveUtils", "LinearAlgebra", "MacroTools", "NNlib", "NaNMath", "Random", "Requires", "SpecialFunctions", "Statistics", "ZygoteRules"]
git-tree-sha1 = "08ee0b7796c4c9ce644b9ecc326f3e047486baeb"
uuid = "e88e6eb3-aa80-5325-afca-941959d7151f"
version = "0.4.17"

[[ZygoteRules]]
deps = ["MacroTools"]
git-tree-sha1 = "b3b4882cc9accf6731a08cc39543fbc6b669dca8"
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
version = "0.2.0"

Project.toml

[deps]
BlackBoxOptim = "a134a8b2-14d6-55f6-9291-3336d3ab0209"
CuArrays = "3a865a2d-5b23-5a0f-bc46-62713ec82fae"
DiffEqBase = "2b5f629d-d688-5b77-993f-72d75c75574e"
DiffEqFlux = "aae7a2af-3d4f-5e19-a356-7da93b79d9d0"
DiffEqJump = "c894b116-72e5-5b58-be3c-e6d8d4ac2b12"
DiffEqMonteCarlo = "78ddff82-25fc-5f2b-89aa-309469cbf16f"
DifferentialEquations = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c"
Gadfly = "c91e804a-d5a3-530f-b6f0-dfbca275c004"
HDF5 = "f67ccb44-e63f-5c2f-98bd-6dc0ccc4ba2f"
Images = "916415d5-f1e6-5110-898d-aaa5f9f070e0"
JLD = "4138dd39-2aa7-5051-a626-17a0bb65d9c8"
Juno = "e5e0dc1b-0480-54bc-9374-aad01c23163d"
KernelDensity = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
LineSearches = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
MAT = "23992714-dd62-5051-b70f-ba57cb901cac"
Metalhead = "dbeba491-748d-5e0e-a39e-b530a07fa0cc"
Optim = "429524aa-4258-5aef-a3af-852621145aeb"
OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
QuadGK = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
RecursiveArrayTools = "731186ca-8d62-57ce-b412-fbd966d074cd"
StatsBase = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
SteadyStateDiffEq = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f"
StochasticDiffEq = "789caeaf-c7a9-5a7d-9973-96adeb23e2a0"
Sundials = "c3572dad-4567-51f8-b174-8c6c989267f4"
Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

wip.jl

using DifferentialEquations, DiffEqFlux, OrdinaryDiffEq, Flux, StatsBase, LinearAlgebra, CuArrays

CuArrays.allowscalar(false)

u0 = Float32[2.; 0.]
datasize = 100
tspan = (0.0f0,1.0f0)

function trueODEfunc(du,u,p,t)
    true_A = [-0.1 2.0; -2.0 -0.1]
    du .= ((u.^3)'true_A)'
end
t = range(tspan[1],tspan[2],length=datasize)
prob = ODEProblem(trueODEfunc,u0,tspan)
ode_data = Array(solve(prob,Tsit5(),saveat=t)) |> gpu

f = Chain(Dense(2,1000, tanh), Dense(1000,2)) |> gpu # using FastChain/FastDense in this example throws a "scalar getindex is disallowed" error
g = Chain(Dense(2,100), GRU(100,100), Dense(100,2)) |> gpu

p1, fre = Flux.destructure(f)
p2, gre = Flux.destructure(g)
θ = Float32.([p1;p2])

n_ode = NeuralODE(f, tspan, Tsit5(), saveat=t)

function loss_n_ode(p)
    z0 = gre(p[length(p1)+1:end])(ode_data)[:, end]
    pred = Array(n_ode(z0, p[1:length(p1)]))
    loss = sum(abs2,ode_data .- pred)
    loss,pred
end

cb = function (p,l,pred;doplot=false) #callback function to observe training
  return false
end

res1 = DiffEqFlux.sciml_train(loss_n_ode, θ, ADAM(0.05), cb = cb, maxiters = 300)
cb(res1.minimizer,loss_n_ode(res1.minimizer)...;doplot=false)