nanmean results in NaN partial derivatives when using dims keyword

[pearlzli]

The mean of the following matrix of Duals should be Dual(-Inf, 0.0):

julia> using ForwardDiff, NaNStatistics, Statistics;

julia> A = fill(ForwardDiff.Dual(-Inf, 0.0), 2, 3)
2×3 Matrix{ForwardDiff.Dual{Nothing, Float64, 1}}:
 Dual{Nothing}(-Inf,0.0)  Dual{Nothing}(-Inf,0.0)  Dual{Nothing}(-Inf,0.0)
 Dual{Nothing}(-Inf,0.0)  Dual{Nothing}(-Inf,0.0)  Dual{Nothing}(-Inf,0.0)

This is indeed the case without the dims keyword, using both mean and nanmean:

julia> mean(A)
Dual{Nothing}(-Inf,0.0)

julia> nanmean(A)
Dual{Nothing}(-Inf,0.0)

But nanmean with the dims keyword produces NaN partial derivatives, while mean still does not:

julia> mean(A; dims = 1)
1×3 Matrix{ForwardDiff.Dual{Nothing, Float64, 1}}:
 Dual{Nothing}(-Inf,0.0)  Dual{Nothing}(-Inf,0.0)  Dual{Nothing}(-Inf,0.0)

julia> nanmean(A; dims = 1)
1×3 Matrix{ForwardDiff.Dual{Nothing, Float64, 1}}:
 Dual{Nothing}(-Inf,NaN)  Dual{Nothing}(-Inf,NaN)  Dual{Nothing}(-Inf,NaN)

Package versions to reproduce:

(test_nan) pkg> st
Status `~/Desktop/test_nan/Project.toml`
  [f6369f11] ForwardDiff v0.10.35
  [b946abbf] NaNStatistics v0.6.28

This started happening for me just yesterday after I upgraded some packages, but I've been unable to track down the cause. Thanks in advance for your help!

[brenhinkeller]

Oh interesting, that’s a use-case I hadn’t considered! If you can narrow down any more where the change happened (here or in ForwardDiff) we can try to figure out why

[pearlzli]

I tried checking out each release of NanStatistics from v0.6.28 to v0.6.22 (released January 27th of this year) and I'm still getting the same NaN partials in the MWE above.

If it helps, I still have a JupyterLab notebook with a kernel running in which nanmean(A; dims) does not produce NaN partials. That kernel is running ForwardDiff v0.10.35 and NaNStatistics v0.6.26.

I also tracked down my best guess of the commit (in my actual repo) after which I started getting NaN partials. To my uneducated eye, some candidates for dependencies that might have caused the change are ChainRulesCore, ChangesOfVariables, and LoopVectorization. The full diff of Manifest.toml is (sorry it's very long):

diff --git a/Manifest.toml b/Manifest.toml
index 753b130..1009082 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -2,7 +2,7 @@
 
 julia_version = "1.8.0"
 manifest_format = "2.0"
-project_hash = "33823feb70af027363dcc135029de0f560c68d8e"
+project_hash = "15c9e61f277d32d1e38cf30ee32866d0c29ecb03"
 
 [[deps.AbstractFFTs]]
 deps = ["ChainRulesCore", "LinearAlgebra"]
@@ -12,9 +12,9 @@ version = "1.3.1"
 
 [[deps.Adapt]]
 deps = ["LinearAlgebra", "Requires"]
-git-tree-sha1 = "cc37d689f599e8df4f464b2fa3870ff7db7492ef"
+git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "3.6.1"
+version = "3.6.2"
 
 [[deps.ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
@@ -33,10 +33,10 @@ uuid = "68821587-b530-5797-8361-c406ea357684"
 version = "3.5.1+1"
 
 [[deps.ArrayInterface]]
-deps = ["Adapt", "LinearAlgebra", "Requires", "SnoopPrecompile", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "38911c7737e123b28182d89027f4216cfc8a9da7"
+deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "c4d9efe93662757bca4cc24df50df5f75e659a2d"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "7.4.3"
+version = "7.4.4"
 
 [[deps.ArrayInterfaceCore]]
 deps = ["LinearAlgebra", "SnoopPrecompile", "SparseArrays", "SuiteSparse"]
@@ -112,21 +112,21 @@ version = "0.5.1"
 
 [[deps.CategoricalArrays]]
 deps = ["DataAPI", "Future", "Missings", "Printf", "Requires", "Statistics", "Unicode"]
-git-tree-sha1 = "5084cc1a28976dd1642c9f337b28a3cb03e0f7d2"
+git-tree-sha1 = "1568b28f91293458345dabba6a5ea3f183250a61"
 uuid = "324d7699-5711-5eae-9e2f-1d82baa6b597"
-version = "0.10.7"
+version = "0.10.8"
 
 [[deps.ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "c6d890a52d2c4d55d326439580c3b8d0875a77d9"
+git-tree-sha1 = "e30f2f4e20f7f186dc36529910beaedc60cfa644"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "1.15.7"
+version = "1.16.0"
 
 [[deps.ChangesOfVariables]]
-deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
-git-tree-sha1 = "485193efd2176b88e6622a39a246f8c5b600e74e"
+deps = ["LinearAlgebra", "Test"]
+git-tree-sha1 = "f84967c4497e0e1955f9a582c232b02847c5f589"
 uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
-version = "0.1.6"
+version = "0.1.7"
 
 [[deps.CloseOpenIntervals]]
 deps = ["Static", "StaticArrayInterface"]
@@ -136,15 +136,15 @@ version = "0.1.12"
 
 [[deps.Clustering]]
 deps = ["Distances", "LinearAlgebra", "NearestNeighbors", "Printf", "Random", "SparseArrays", "Statistics", "StatsBase"]
-git-tree-sha1 = "7ebbd653f74504447f1c33b91cd706a69a1b189f"
+git-tree-sha1 = "a6e6ce44a1e0a781772fc795fb7343b1925e9898"
 uuid = "aaaa29a8-35af-508c-8bc3-b662a17a0fe5"
-version = "0.14.4"
+version = "0.15.2"
 
 [[deps.ColorSchemes]]
-deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Random", "SnoopPrecompile"]
-git-tree-sha1 = "aa3edc8f8dea6cbfa176ee12f7c2fc82f0608ed3"
+deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
+git-tree-sha1 = "be6ab11021cd29f0344d5c4357b163af05a48cba"
 uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
-version = "3.20.0"
+version = "3.21.0"
 
 [[deps.ColorTypes]]
 deps = ["FixedPointNumbers", "Random"]
@@ -188,9 +188,9 @@ version = "0.5.2+0"
 
 [[deps.ConstructionBase]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "89a9db8d28102b094992472d333674bd1a83ce2a"
+git-tree-sha1 = "738fec4d684a9a6ee9598a8bfee305b26831f28c"
 uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
-version = "1.5.1"
+version = "1.5.2"
 
 [[deps.Contour]]
 git-tree-sha1 = "d05d9e7b7aedff4e5b51a029dced05cfb6125781"
@@ -209,9 +209,9 @@ uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
 version = "4.1.1"
 
 [[deps.DataAPI]]
-git-tree-sha1 = "e8119c1a33d267e16108be441a287a6981ba1630"
+git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c"
 uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
-version = "1.14.0"
+version = "1.15.0"
 
 [[deps.DataFrames]]
 deps = ["Compat", "DataAPI", "Future", "InlineStrings", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrettyTables", "Printf", "REPL", "Random", "Reexport", "SentinelArrays", "SnoopPrecompile", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
@@ -230,12 +230,6 @@ git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
 uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
 version = "1.0.0"
 
-[[deps.DataValues]]
-deps = ["DataValueInterfaces", "Dates"]
-git-tree-sha1 = "d88a19299eba280a6d062e135a43f00323ae70bf"
-uuid = "e7dc6d0d-1eca-5fa6-8ad6-5aecde8b7ea5"
-version = "0.4.13"
-
 [[deps.Dates]]
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
@@ -273,10 +267,10 @@ deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[deps.Distributions]]
-deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"]
-git-tree-sha1 = "13027f188d26206b9e7b863036f87d2f2e7d013a"
+deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "Test"]
+git-tree-sha1 = "eead66061583b6807652281c0fbf291d7a9dc497"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.87"
+version = "0.25.90"
 
 [[deps.DocStringExtensions]]
 deps = ["LibGit2"]
@@ -295,6 +289,12 @@ git-tree-sha1 = "5837a837389fccf076445fce071c8ddaea35a566"
 uuid = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74"
 version = "0.6.8"
 
+[[deps.Econometrics]]
+deps = ["CategoricalArrays", "CompilerSupportLibraries_jll", "Distributions", "FillArrays", "ForwardDiff", "JLLWrappers", "LinearAlgebra", "MLJModelInterface", "Optim", "Parameters", "Printf", "StatsBase", "StatsFuns", "StatsModels", "TableOperations", "Tables"]
+git-tree-sha1 = "74a904fd7acc2b32976e02d6db172fa70afb8d1b"
+uuid = "4d6a76a9-bfbc-5492-8924-cf6ed7875f06"
+version = "0.2.10"
+
 [[deps.Expat_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d"
@@ -327,24 +327,24 @@ version = "3.3.10+0"
 
 [[deps.FileIO]]
 deps = ["Pkg", "Requires", "UUIDs"]
-git-tree-sha1 = "7be5f99f7d15578798f338f5433b6c432ea8037b"
+git-tree-sha1 = "299dc33549f68299137e51e6d49a13b5b1da9673"
 uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
-version = "1.16.0"
+version = "1.16.1"
 
 [[deps.FileWatching]]
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
 [[deps.FillArrays]]
 deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
-git-tree-sha1 = "fc86b4fd3eff76c3ce4f5e96e2fdfa6282722885"
+git-tree-sha1 = "7072f1e3e5a8be51d525d64f63d3ec1287ff2790"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
-version = "1.0.0"
+version = "0.13.11"
 
 [[deps.FiniteDiff]]
 deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays", "StaticArrays"]
-git-tree-sha1 = "03fcb1c42ec905d15b305359603888ec3e65f886"
+git-tree-sha1 = "6604e18a0220650dbbea7854938768f15955dd8e"
 uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
-version = "2.19.0"
+version = "2.20.0"
 
 [[deps.FixedPointNumbers]]
 deps = ["Statistics"]
@@ -414,15 +414,15 @@ version = "0.1.4"
 
 [[deps.GR]]
 deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Preferences", "Printf", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "UUIDs", "p7zip_jll"]
-git-tree-sha1 = "0635807d28a496bb60bc15f465da0107fb29649c"
+git-tree-sha1 = "efaac003187ccc71ace6c755b197284cd4811bfe"
 uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
-version = "0.72.0"
+version = "0.72.4"
 
 [[deps.GR_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt5Base_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "99e248f643b052a77d2766fe1a16fb32b661afd4"
+git-tree-sha1 = "4486ff47de4c18cb511a0da420efebb314556316"
 uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
-version = "0.72.0+0"
+version = "0.72.4+0"
 
 [[deps.Gettext_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
@@ -473,9 +473,9 @@ version = "0.1.14"
 
 [[deps.HypergeometricFunctions]]
 deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
-git-tree-sha1 = "432b5b03176f8182bd6841fbfc42c718506a2d5f"
+git-tree-sha1 = "84204eae2dd237500835990bcade263e27674a93"
 uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
-version = "0.3.15"
+version = "0.3.16"
 
 [[deps.IfElse]]
 git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
@@ -517,9 +517,9 @@ version = "0.7.4"
 
 [[deps.InverseFunctions]]
 deps = ["Test"]
-git-tree-sha1 = "49510dfcb407e572524ba94aeae2fced1f3feb0f"
+git-tree-sha1 = "6667aadd1cdee2c6cd068128b3d226ebc4fb0c67"
 uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
-version = "0.1.8"
+version = "0.1.9"
 
 [[deps.InvertedIndices]]
 git-tree-sha1 = "0dc7b50b8d436461be01300fd8cd45aa0274b038"
@@ -585,9 +585,9 @@ version = "0.2.1+0"
 
 [[deps.KernelDensity]]
 deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"]
-git-tree-sha1 = "9816b296736292a80b9a3200eb7fbb57aaa3917a"
+git-tree-sha1 = "90442c50e202a5cdf21a7899c66b240fdef14035"
 uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
-version = "0.6.5"
+version = "0.6.7"
 
 [[deps.LAME_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -614,9 +614,9 @@ version = "1.3.0"
 
 [[deps.Latexify]]
 deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Printf", "Requires"]
-git-tree-sha1 = "2422f47b34d4b127720a18f86fa7b1aa2e141f29"
+git-tree-sha1 = "099e356f267354f46ba65087981a77da23a279b7"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
-version = "0.15.18"
+version = "0.16.0"
 
 [[deps.LayoutPointers]]
 deps = ["ArrayInterface", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface"]
@@ -731,9 +731,9 @@ uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
 [[deps.LoopVectorization]]
 deps = ["ArrayInterface", "ArrayInterfaceCore", "CPUSummary", "ChainRulesCore", "CloseOpenIntervals", "DocStringExtensions", "ForwardDiff", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "PrecompileTools", "SIMDTypes", "SLEEFPirates", "SpecialFunctions", "Static", "StaticArrayInterface", "ThreadingUtilities", "UnPack", "VectorizationBase"]
-git-tree-sha1 = "e7ce3cdc520da8135e73d7cb303e0617a19f582b"
+git-tree-sha1 = "3bb62b5003bc7d2d49f26663484267dc49fa1bf5"
 uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
-version = "0.12.158"
+version = "0.12.159"
 
 [[deps.MKL_jll]]
 deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"]
@@ -741,6 +741,12 @@ git-tree-sha1 = "2ce8695e1e699b68702c03402672a69f54b8aca9"
 uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
 version = "2022.2.0+0"
 
+[[deps.MLJModelInterface]]
+deps = ["Random", "ScientificTypesBase", "StatisticalTraits"]
+git-tree-sha1 = "c8b7e632d6754a5e36c0d94a4b466a5ba3a30128"
+uuid = "e80e1ace-859a-464e-9ed9-23947d8ae3ea"
+version = "1.8.0"
+
 [[deps.MacroTools]]
 deps = ["Markdown", "Random"]
 git-tree-sha1 = "42324d08725e200c23d4dfb549e0d5d89dede2d2"
@@ -787,9 +793,9 @@ version = "2022.2.1"
 
 [[deps.MultivariateStats]]
 deps = ["Arpack", "LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI", "StatsBase"]
-git-tree-sha1 = "91a48569383df24f0fd2baf789df2aade3d0ad80"
+git-tree-sha1 = "68bf5103e002c44adfd71fea6bd770b3f0586843"
 uuid = "6f286f6a-111f-5878-ab1e-185364afe411"
-version = "0.10.1"
+version = "0.10.2"
 
 [[deps.Mustache]]
 deps = ["Printf", "Tables"]
@@ -823,9 +829,9 @@ version = "1.0.2"
 
 [[deps.NaNStatistics]]
 deps = ["IfElse", "LoopVectorization", "PrecompileTools", "Static"]
-git-tree-sha1 = "d0cf1c828f4ba7111e53d4f48f42355ee8a9ccc8"
+git-tree-sha1 = "e19503597183e6748adb78a8de616f6073e7ac65"
 uuid = "b946abbf-3ea7-4610-9019-9858bfdeaf2d"
-version = "0.6.26"
+version = "0.6.28"
 
 [[deps.NearestNeighbors]]
 deps = ["Distances", "StaticArrays"]
@@ -911,10 +917,10 @@ uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
 version = "0.12.3"
 
 [[deps.Parsers]]
-deps = ["Dates", "SnoopPrecompile"]
-git-tree-sha1 = "478ac6c952fddd4399e71d4779797c538d0ff2bf"
+deps = ["Dates", "PrecompileTools", "UUIDs"]
+git-tree-sha1 = "7302075e5e06da7d000d9bfa055013e3e85578ca"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.5.8"
+version = "2.5.9"
 
 [[deps.Pidfile]]
 deps = ["FileWatching", "Test"]
@@ -945,10 +951,10 @@ uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
 version = "3.1.0"
 
 [[deps.PlotUtils]]
-deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "SnoopPrecompile", "Statistics"]
-git-tree-sha1 = "c95373e73290cf50a8a22c3375e4625ded5c5280"
+deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"]
+git-tree-sha1 = "f92e1315dadf8c46561fb9396e525f7200cdc227"
 uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
-version = "1.3.4"
+version = "1.3.5"
 
 [[deps.PlotlyBase]]
 deps = ["ColorSchemes", "Dates", "DelimitedFiles", "DocStringExtensions", "JSON", "LaTeXStrings", "Logging", "Parameters", "Pkg", "REPL", "Requires", "Statistics", "UUIDs"]
@@ -963,10 +969,10 @@ uuid = "f0f68f2c-4968-5e81-91da-67840de0976a"
 version = "0.18.10"
 
 [[deps.Plots]]
-deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "Preferences", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SnoopPrecompile", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"]
-git-tree-sha1 = "5434b0ee344eaf2854de251f326df8720f6a7b55"
+deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Preferences", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"]
+git-tree-sha1 = "6c7f47fd112001fc95ea1569c2757dffd9e81328"
 uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
-version = "1.38.10"
+version = "1.38.11"
 
 [[deps.PolyesterWeave]]
 deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"]
@@ -988,21 +994,21 @@ version = "0.2.4"
 
 [[deps.PrecompileTools]]
 deps = ["Preferences"]
-git-tree-sha1 = "d0984cc886c48e5a165705ce65236dc2ec467b91"
+git-tree-sha1 = "259e206946c293698122f63e2b513a7c99a244e8"
 uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
-version = "1.1.0"
+version = "1.1.1"
 
 [[deps.Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "47e5f437cc0e7ef2ce8406ce1e7e24d44915f88d"
+git-tree-sha1 = "7eb1686b4f04b82f96ed7a4ea5890a4f0c7a09f1"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.3.0"
+version = "1.4.0"
 
 [[deps.PrettyTables]]
 deps = ["Crayons", "Formatting", "LaTeXStrings", "Markdown", "Reexport", "StringManipulation", "Tables"]
-git-tree-sha1 = "548793c7859e28ef026dba514752275ee871169f"
+git-tree-sha1 = "213579618ec1f42dea7dd637a42785a608b1ea9c"
 uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
-version = "2.2.3"
+version = "2.2.4"
 
 [[deps.Printf]]
 deps = ["Unicode"]
@@ -1041,21 +1047,21 @@ version = "0.3.2"
 
 [[deps.Ratios]]
 deps = ["Requires"]
-git-tree-sha1 = "dc84268fe0e3335a62e315a3a7cf2afa7178a734"
+git-tree-sha1 = "6d7bb727e76147ba18eed998700998e17b8e4911"
 uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
-version = "0.4.3"
+version = "0.4.4"
 
 [[deps.RecipesBase]]
-deps = ["SnoopPrecompile"]
-git-tree-sha1 = "261dddd3b862bd2c940cf6ca4d1c8fe593e457c8"
+deps = ["PrecompileTools"]
+git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff"
 uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
-version = "1.3.3"
+version = "1.3.4"
 
 [[deps.RecipesPipeline]]
-deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase", "SnoopPrecompile"]
-git-tree-sha1 = "e974477be88cb5e3040009f3767611bc6357846f"
+deps = ["Dates", "NaNMath", "PlotUtils", "PrecompileTools", "RecipesBase"]
+git-tree-sha1 = "45cf9fd0ca5839d06ef333c8201714e888486342"
 uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
-version = "0.6.11"
+version = "0.6.12"
 
 [[deps.Reexport]]
 git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
@@ -1088,9 +1094,9 @@ version = "0.4.0+0"
 
 [[deps.Roots]]
 deps = ["ChainRulesCore", "CommonSolve", "Printf", "Setfield"]
-git-tree-sha1 = "82362f2a4f756951f21ebb3ac2aed094c46a5109"
+git-tree-sha1 = "e19c09f5cc868785766f86435ba40576cf751257"
 uuid = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"
-version = "2.0.12"
+version = "2.0.14"
 
 [[deps.SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
@@ -1107,6 +1113,11 @@ git-tree-sha1 = "cda0aece8080e992f6370491b08ef3909d1c04e7"
 uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
 version = "0.6.38"
 
+[[deps.ScientificTypesBase]]
+git-tree-sha1 = "a8e18eb383b5ecf1b5e6fc237eb39255044fd92b"
+uuid = "30f210dd-8aff-4c5f-94ba-8e64358c1161"
+version = "3.0.0"
+
 [[deps.Scratch]]
 deps = ["Dates"]
 git-tree-sha1 = "30449ee12237627992a99d5e30ae63e4d78cd24a"
@@ -1170,9 +1181,9 @@ version = "2.2.0"
 
 [[deps.Static]]
 deps = ["IfElse"]
-git-tree-sha1 = "08be5ee09a7632c32695d954a602df96a877bf0d"
+git-tree-sha1 = "dbde6766fc677423598138a5951269432b0fcc90"
 uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
-version = "0.8.6"
+version = "0.8.7"
 
 [[deps.StaticArrayInterface]]
 deps = ["ArrayInterface", "Compat", "IfElse", "LinearAlgebra", "Requires", "SnoopPrecompile", "SparseArrays", "Static", "SuiteSparse"]
@@ -1182,15 +1193,21 @@ version = "1.4.0"
 
 [[deps.StaticArrays]]
 deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"]
-git-tree-sha1 = "63e84b7fdf5021026d0f17f76af7c57772313d99"
+git-tree-sha1 = "8982b3607a212b070a5e46eea83eb62b4744ae12"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.5.21"
+version = "1.5.25"
 
 [[deps.StaticArraysCore]]
 git-tree-sha1 = "6b7ba252635a5eff6a0b0664a41ee140a1c9e72a"
 uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
 version = "1.4.0"
 
+[[deps.StatisticalTraits]]
+deps = ["ScientificTypesBase"]
+git-tree-sha1 = "30b9236691858e13f167ce829490a68e1a597782"
+uuid = "64bff920-2084-43da-a3e6-9bb72801c0c9"
+version = "3.2.0"
+
 [[deps.Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
@@ -1215,15 +1232,15 @@ version = "1.3.0"
 
 [[deps.StatsModels]]
 deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Printf", "REPL", "ShiftedArrays", "SparseArrays", "StatsBase", "StatsFuns", "Tables"]
-git-tree-sha1 = "51cdf1afd9d78552e7a08536930d7abc3b288a5c"
+git-tree-sha1 = "a5e15f27abd2692ccb61a99e0854dfb7d48017db"
 uuid = "3eaba693-59b7-5ba5-a881-562e759f1c8d"
-version = "0.7.1"
+version = "0.6.33"
 
 [[deps.StatsPlots]]
-deps = ["AbstractFFTs", "Clustering", "DataStructures", "DataValues", "Distributions", "Interpolations", "KernelDensity", "LinearAlgebra", "MultivariateStats", "NaNMath", "Observables", "Plots", "RecipesBase", "RecipesPipeline", "Reexport", "StatsBase", "TableOperations", "Tables", "Widgets"]
-git-tree-sha1 = "e0d5bc26226ab1b7648278169858adcfbd861780"
+deps = ["AbstractFFTs", "Clustering", "DataStructures", "Distributions", "Interpolations", "KernelDensity", "LinearAlgebra", "MultivariateStats", "NaNMath", "Observables", "Plots", "RecipesBase", "RecipesPipeline", "Reexport", "StatsBase", "TableOperations", "Tables", "Widgets"]
+git-tree-sha1 = "14ef622cf28b05e38f8af1de57bc9142b03fbfe3"
 uuid = "f3b207a7-027a-5e70-b257-86293d7955fd"
-version = "0.15.4"
+version = "0.15.5"
 
 [[deps.Strided]]
 deps = ["LinearAlgebra", "TupleTools"]
@@ -1298,9 +1315,9 @@ version = "0.5.1"
 
 [[deps.TranscodingStreams]]
 deps = ["Random", "Test"]
-git-tree-sha1 = "0b829474fed270a4b0ab07117dce9b9a2fa7581a"
+git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769"
 uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
-version = "0.9.12"
+version = "0.9.13"
 
 [[deps.TransmuteDims]]
 deps = ["Adapt", "ChainRulesCore", "GPUArraysCore", "LinearAlgebra", "Requires", "Strided"]

[brenhinkeller]

Sorry for the slow fix! I think this should be good now in v0.6.29 and onwards