You cannot select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
Orbits/julia_code/ExperimentWithFluxParallel.jl

789 lines
23 KiB
Julia

This file contains ambiguous Unicode characters!

This file contains ambiguous Unicode characters that may be confused with others in your current locale. If your use case is intentional and legitimate, you can safely ignore this warning. Use the Escape button to highlight these characters.

### A Pluto.jl notebook ###
# v0.17.1
using Markdown
using InteractiveUtils
# ╔═╡ be0ff5da-4326-11ec-0541-ff3acda2c9fd
using Flux, PlutoUI
# ╔═╡ 96456db4-efef-4d1b-b563-0699dcecbd3d
md"""
Goal:
- Flux parallel/chain that takes an input and combines the result
- double check an iterative traing across branches
- Create a flux parallel /chain combo that accepts a single input tuple and splits it across multiple branches
- Create a generator function that does this for a specifed number of branches
"""
# ╔═╡ f659eb0c-6588-4469-a478-46255222677e
#flux parallel
a = Flux.Parallel(vcat
,Dense(1,2,Flux.σ)
,Dense(1,2)
)
# ╔═╡ 4c890a60-0078-41f8-ab32-24602d7f0189
a([1])
# ╔═╡ b5a52f81-870e-4190-83b5-ef84a2ad30f1
a(([1],[2]))
# ╔═╡ fe755a26-d561-4d23-b94e-b2e3bcc62227
a(([1],[1]))
# ╔═╡ 9c4ee5ec-8248-415b-b444-2ad40ebebe74
a([1],[1])
# ╔═╡ 2d53cf21-ee2b-48f2-9a89-69eba76598e0
md"""
Compare the various results, note how the first and 3rd match, but the second doesn't
"""
# ╔═╡ 20293c9a-11ca-4495-833a-faddec4a7b67
b = Flux.Parallel((x,y) -> (x,y)
,Dense(1,2,Flux.σ)
,Dense(1,2)
)
# ╔═╡ d69b78f2-2431-4648-9b08-8d82774fbfbb
b([1])
# ╔═╡ db584226-d3f5-42f3-b9dc-7ddc8624bfda
b(([1],[2]))
# ╔═╡ 41c653bb-b6e0-43d2-a411-0ebd04b6c3e2
b(([1],[1]))
# ╔═╡ 7fb1fd3c-3ccd-45db-8757-bfbde6090522
b([1],[2])
# ╔═╡ c1420fc5-de42-4b32-9e13-e859e111996b
md"""
Again, very similar to previous work, but without the vcat
"""
# ╔═╡ 46c9f81c-3a8c-463a-952e-32287d11f1db
c =
Flux.Parallel(vcat
#add chain here
,Flux.Chain(
Flux.Parallel(vcat
,Dense(1,2,Flux.σ)
,Dense(1,2)
)
,Dense(4,1)
)
,Flux.Chain(
Flux.Parallel(vcat
,Dense(1,2,Flux.σ)
,Dense(1,2)
)
,Dense(4,1)
)
,Flux.Chain(
Flux.Parallel(vcat
,Dense(1,2,Flux.σ)
,Dense(1,2)
)
,Dense(4,1)
)
)
# ╔═╡ 8c651a48-a919-4e13-95ed-e0bd929e8b64
c(([1],[2]),([3],[4]),([1],[2]))
# ╔═╡ 10938bcf-dbc5-4109-b8a2-ee21c482f610
c([1],[2],[3],[4],[1],[2]) #ignores the last 3
# ╔═╡ e318c3f0-3828-41fc-9fd0-de2ae3d19e2f
c([1],[2],[3])
# ╔═╡ 0da65b18-e511-4203-a5af-cdb0096acbbf
c(([1],[2])) #don't run the 3rd branch
# ╔═╡ ec1bd1c4-fc35-482b-b186-7f95cb332463
md"""
In the first case each sub-parallel is getting passed its own tuple.
In the second case, each sub-branch gets its own details.
The big test will be whether training on each parallel branch will affect anything other than that entry
"""
# ╔═╡ 0d85a68f-3a5d-4aab-ab0a-b9830e50c383
begin #move to module
#= TupleDuplicator
This is used to create a tuple of size n with deepcopies of any object x
=#
struct TupleDuplicator
n::Int
end
(f::TupleDuplicator)(x) = tuple([deepcopy(x) for i=1:f.n]...)
#=
This generates a policy function full of branches with the properly scaled sides
=#
struct BranchGenerator
n::UInt8 #limit to 2^8 operators
end
function (b::BranchGenerator)(branch::Flux.Chain,join_fn::Function)
# used to deepcopy the branches and duplicate the inputs in the returned chain
f = TupleDuplicator(b.n)
return Flux.Chain(
f
,Flux.Parallel(join_fn
,f(branch)
)
)
end
end
# ╔═╡ 2f6b7042-5cf5-4312-a617-dbeb08e05175
bg3 = BranchGenerator(3)
# ╔═╡ b9fe5e74-a524-4c74-8c88-b26204ffa57b
begin
#Setup branch to duplicate
d = Flux.Chain(
Flux.Parallel(vcat
,Dense(1,2,Flux.σ)
,Dense(1,2)
)
,Dense(4,1)
)
#build branch
e = bg3(d, vcat)
end
# ╔═╡ 5a03a348-93bf-4298-b483-57f1256a09fb
e(([2],[1]))
# ╔═╡ 28ff091c-fa33-485a-b425-2197a7915419
loss(x) = sum(abs2,e(x)) #force to zero
# ╔═╡ 3f0c5427-6a45-44cb-a83e-8f3829c5f3cf
loss(([2],[1]))
# ╔═╡ 03e2712c-0edb-4fd0-ac1f-cd34be4bcc03
opt = Flux.Optimise.ADAGrad()
# ╔═╡ 64644280-577a-4d31-9863-6c9914bba94c
params = Flux.params(e[2][1])
# ╔═╡ 19a3a52f-3ecf-46ff-ac4d-5d44ef3a7821
Flux.train!(loss, params, (([2],[1])), opt)
# ╔═╡ ad690dd7-6fad-4194-9cf2-ab33b1b23a11
e(([2],[1]))
# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
[compat]
Flux = "~0.12.8"
PlutoUI = "~0.7.19"
"""
# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised
[[AbstractFFTs]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "485ee0867925449198280d4af84bdb46a2a404d0"
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
version = "1.0.1"
[[AbstractPlutoDingetjes]]
deps = ["Pkg"]
git-tree-sha1 = "0bc60e3006ad95b4bb7497698dd7c6d649b9bc06"
uuid = "6e696c72-6542-2067-7265-42206c756150"
version = "1.1.1"
[[AbstractTrees]]
git-tree-sha1 = "03e0550477d86222521d254b741d470ba17ea0b5"
uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
version = "0.3.4"
[[Adapt]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "84918055d15b3114ede17ac6a7182f68870c16f7"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "3.3.1"
[[ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
[[ArrayInterface]]
deps = ["Compat", "IfElse", "LinearAlgebra", "Requires", "SparseArrays", "Static"]
git-tree-sha1 = "e527b258413e0c6d4f66ade574744c94edef81f8"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "3.1.40"
[[Artifacts]]
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
[[BFloat16s]]
deps = ["LinearAlgebra", "Printf", "Random", "Test"]
git-tree-sha1 = "a598ecb0d717092b5539dbbe890c98bac842b072"
uuid = "ab4f0b2a-ad5b-11e8-123f-65d77653426b"
version = "0.2.0"
[[Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
[[CEnum]]
git-tree-sha1 = "215a9aa4a1f23fbd05b92769fdd62559488d70e9"
uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
version = "0.4.1"
[[CUDA]]
deps = ["AbstractFFTs", "Adapt", "BFloat16s", "CEnum", "CompilerSupportLibraries_jll", "ExprTools", "GPUArrays", "GPUCompiler", "LLVM", "LazyArtifacts", "Libdl", "LinearAlgebra", "Logging", "Printf", "Random", "Random123", "RandomNumbers", "Reexport", "Requires", "SparseArrays", "SpecialFunctions", "TimerOutputs"]
git-tree-sha1 = "2c8329f16addffd09e6ca84c556e2185a4933c64"
uuid = "052768ef-5323-5732-b1bb-66c8b64840ba"
version = "3.5.0"
[[ChainRules]]
deps = ["ChainRulesCore", "Compat", "LinearAlgebra", "Random", "RealDot", "Statistics"]
git-tree-sha1 = "035ef8a5382a614b2d8e3091b6fdbb1c2b050e11"
uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
version = "1.12.1"
[[ChainRulesCore]]
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "f885e7e7c124f8c92650d61b9477b9ac2ee607dd"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "1.11.1"
[[ChangesOfVariables]]
deps = ["LinearAlgebra", "Test"]
git-tree-sha1 = "9a1d594397670492219635b35a3d830b04730d62"
uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
version = "0.1.1"
[[CodecZlib]]
deps = ["TranscodingStreams", "Zlib_jll"]
git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.7.0"
[[ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "024fe24d83e4a5bf5fc80501a314ce0d1aa35597"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.11.0"
[[Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.8"
[[CommonSubexpressions]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
version = "0.3.0"
[[Compat]]
deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
git-tree-sha1 = "dce3e3fea680869eaa0b774b2e8343e9ff442313"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "3.40.0"
[[CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
[[DataAPI]]
git-tree-sha1 = "cc70b17275652eb47bc9e5f81635981f13cea5c8"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.9.0"
[[DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "7d9d316f04214f7efdbb6398d545446e246eff02"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.10"
[[Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
[[DelimitedFiles]]
deps = ["Mmap"]
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
[[DiffResults]]
deps = ["StaticArrays"]
git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805"
uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
version = "1.0.3"
[[DiffRules]]
deps = ["LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
git-tree-sha1 = "3287dacf67c3652d3fed09f4c12c187ae4dbb89a"
uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
version = "1.4.0"
[[Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
[[DocStringExtensions]]
deps = ["LibGit2"]
git-tree-sha1 = "b19534d1895d702889b219c382a6e18010797f0b"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.8.6"
[[Downloads]]
deps = ["ArgTools", "LibCURL", "NetworkOptions"]
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
[[ExprTools]]
git-tree-sha1 = "b7e3d17636b348f005f11040025ae8c6f645fe92"
uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
version = "0.1.6"
[[FillArrays]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
git-tree-sha1 = "8756f9935b7ccc9064c6eef0bff0ad643df733a3"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "0.12.7"
[[FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.4"
[[Flux]]
deps = ["AbstractTrees", "Adapt", "ArrayInterface", "CUDA", "CodecZlib", "Colors", "DelimitedFiles", "Functors", "Juno", "LinearAlgebra", "MacroTools", "NNlib", "NNlibCUDA", "Pkg", "Printf", "Random", "Reexport", "SHA", "SparseArrays", "Statistics", "StatsBase", "Test", "ZipFile", "Zygote"]
git-tree-sha1 = "e8b37bb43c01eed0418821d1f9d20eca5ba6ab21"
uuid = "587475ba-b771-5e3f-ad9e-33799f191a9c"
version = "0.12.8"
[[ForwardDiff]]
deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "6406b5112809c08b1baa5703ad274e1dded0652f"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.23"
[[Functors]]
git-tree-sha1 = "e4768c3b7f597d5a352afa09874d16e3c3f6ead2"
uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
version = "0.2.7"
[[GPUArrays]]
deps = ["Adapt", "LinearAlgebra", "Printf", "Random", "Serialization", "Statistics"]
git-tree-sha1 = "7772508f17f1d482fe0df72cabc5b55bec06bbe0"
uuid = "0c68f7d7-f131-5f86-a1c3-88cf8149b2d7"
version = "8.1.2"
[[GPUCompiler]]
deps = ["ExprTools", "InteractiveUtils", "LLVM", "Libdl", "Logging", "TimerOutputs", "UUIDs"]
git-tree-sha1 = "77d915a0af27d474f0aaf12fcd46c400a552e84c"
uuid = "61eb1bfa-7361-4325-ad38-22787b887f55"
version = "0.13.7"
[[Hyperscript]]
deps = ["Test"]
git-tree-sha1 = "8d511d5b81240fc8e6802386302675bdf47737b9"
uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91"
version = "0.0.4"
[[HypertextLiteral]]
git-tree-sha1 = "2b078b5a615c6c0396c77810d92ee8c6f470d238"
uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2"
version = "0.9.3"
[[IOCapture]]
deps = ["Logging", "Random"]
git-tree-sha1 = "f7be53659ab06ddc986428d3a9dcc95f6fa6705a"
uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
version = "0.2.2"
[[IRTools]]
deps = ["InteractiveUtils", "MacroTools", "Test"]
git-tree-sha1 = "95215cd0076a150ef46ff7928892bc341864c73c"
uuid = "7869d1d1-7146-5819-86e3-90919afe41df"
version = "0.4.3"
[[IfElse]]
git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
version = "0.1.1"
[[InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
[[InverseFunctions]]
deps = ["Test"]
git-tree-sha1 = "a7254c0acd8e62f1ac75ad24d5db43f5f19f3c65"
uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
version = "0.1.2"
[[IrrationalConstants]]
git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
version = "0.1.1"
[[JLLWrappers]]
deps = ["Preferences"]
git-tree-sha1 = "642a199af8b68253517b80bd3bfd17eb4e84df6e"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.3.0"
[[JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.2"
[[Juno]]
deps = ["Base64", "Logging", "Media", "Profile"]
git-tree-sha1 = "07cb43290a840908a771552911a6274bc6c072c7"
uuid = "e5e0dc1b-0480-54bc-9374-aad01c23163d"
version = "0.8.4"
[[LLVM]]
deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Printf", "Unicode"]
git-tree-sha1 = "46092047ca4edc10720ecab437c42283cd7c44f3"
uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
version = "4.6.0"
[[LLVMExtra_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6a2af408fe809c4f1a54d2b3f188fdd3698549d6"
uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab"
version = "0.0.11+0"
[[LazyArtifacts]]
deps = ["Artifacts", "Pkg"]
uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
[[LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
[[LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
[[LibGit2]]
deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
[[LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
[[Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
[[LinearAlgebra]]
deps = ["Libdl"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
[[LogExpFunctions]]
deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
git-tree-sha1 = "be9eef9f9d78cecb6f262f3c10da151a6c5ab827"
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
version = "0.3.5"
[[Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
[[MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "3d3e902b31198a27340d0bf00d6ac452866021cf"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.9"
[[Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
[[MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
[[Media]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "75a54abd10709c01f1b86b84ec225d26e840ed58"
uuid = "e89f7d12-3494-54d1-8411-f7d8b9ae1f27"
version = "0.5.0"
[[Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "1.0.2"
[[Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"
[[MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
[[NNlib]]
deps = ["Adapt", "ChainRulesCore", "Compat", "LinearAlgebra", "Pkg", "Requires", "Statistics"]
git-tree-sha1 = "e9ee896802054f832a646f607d26ea9fa1181c90"
uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
version = "0.7.30"
[[NNlibCUDA]]
deps = ["CUDA", "LinearAlgebra", "NNlib", "Random", "Statistics"]
git-tree-sha1 = "04490d5e7570c038b1cb0f5c3627597181cc15a9"
uuid = "a00861dc-f156-4864-bf3c-e6376f28a68d"
version = "0.1.9"
[[NaNMath]]
git-tree-sha1 = "bfe47e760d60b82b66b61d2d44128b62e3a369fb"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "0.3.5"
[[NetworkOptions]]
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
[[OpenLibm_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
[[OpenSpecFun_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.5+0"
[[OrderedCollections]]
git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.4.1"
[[Parsers]]
deps = ["Dates"]
git-tree-sha1 = "ae4bbcadb2906ccc085cf52ac286dc1377dceccc"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.1.2"
[[Pkg]]
deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
[[PlutoUI]]
deps = ["AbstractPlutoDingetjes", "Base64", "Dates", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "Markdown", "Random", "Reexport", "UUIDs"]
git-tree-sha1 = "e071adf21e165ea0d904b595544a8e514c8bb42c"
uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
version = "0.7.19"
[[Preferences]]
deps = ["TOML"]
git-tree-sha1 = "00cfd92944ca9c760982747e9a1d0d5d86ab1e5a"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.2.2"
[[Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
[[Profile]]
deps = ["Printf"]
uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
[[REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
[[Random]]
deps = ["Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
[[Random123]]
deps = ["Libdl", "Random", "RandomNumbers"]
git-tree-sha1 = "0e8b146557ad1c6deb1367655e052276690e71a3"
uuid = "74087812-796a-5b5d-8853-05524746bad3"
version = "1.4.2"
[[RandomNumbers]]
deps = ["Random", "Requires"]
git-tree-sha1 = "043da614cc7e95c703498a491e2c21f58a2b8111"
uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
version = "1.5.3"
[[RealDot]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "9f0a1b71baaf7650f4fa8a1d168c7fb6ee41f0c9"
uuid = "c1ae055f-0cd5-4b69-90a6-9a35b1a98df9"
version = "0.1.0"
[[Reexport]]
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.2.2"
[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "4036a3bd08ac7e968e27c203d45f5fff15020621"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.1.3"
[[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"
[[Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
[[SortingAlgorithms]]
deps = ["DataStructures"]
git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "1.0.1"
[[SparseArrays]]
deps = ["LinearAlgebra", "Random"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
[[SpecialFunctions]]
deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
git-tree-sha1 = "f0bccf98e16759818ffc5d97ac3ebf87eb950150"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "1.8.1"
[[Static]]
deps = ["IfElse"]
git-tree-sha1 = "e7bc80dc93f50857a5d1e3c8121495852f407e6a"
uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
version = "0.4.0"
[[StaticArrays]]
deps = ["LinearAlgebra", "Random", "Statistics"]
git-tree-sha1 = "3c76dde64d03699e074ac02eb2e8ba8254d428da"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.2.13"
[[Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
[[StatsAPI]]
git-tree-sha1 = "1958272568dc176a1d881acb797beb909c785510"
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
version = "1.0.0"
[[StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "eb35dcc66558b2dda84079b9a1be17557d32091a"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.33.12"
[[TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
[[Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
[[Test]]
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
[[TimerOutputs]]
deps = ["ExprTools", "Printf"]
git-tree-sha1 = "7cb456f358e8f9d102a8b25e8dfedf58fa5689bc"
uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
version = "0.5.13"
[[TranscodingStreams]]
deps = ["Random", "Test"]
git-tree-sha1 = "216b95ea110b5972db65aa90f88d8d89dcb8851c"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.9.6"
[[UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
[[Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
[[ZipFile]]
deps = ["Libdl", "Printf", "Zlib_jll"]
git-tree-sha1 = "3593e69e469d2111389a9bd06bac1f3d730ac6de"
uuid = "a5390f91-8eb1-5f08-bee0-b1d1ffed6cea"
version = "0.9.4"
[[Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
[[Zygote]]
deps = ["AbstractFFTs", "ChainRules", "ChainRulesCore", "DiffRules", "Distributed", "FillArrays", "ForwardDiff", "IRTools", "InteractiveUtils", "LinearAlgebra", "MacroTools", "NaNMath", "Random", "Requires", "SpecialFunctions", "Statistics", "ZygoteRules"]
git-tree-sha1 = "2c30f2df0ba43c17e88c8b55b5b22c401f7cde4e"
uuid = "e88e6eb3-aa80-5325-afca-941959d7151f"
version = "0.6.30"
[[ZygoteRules]]
deps = ["MacroTools"]
git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0"
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
version = "0.2.2"
[[nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
[[p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
"""
# ╔═╡ Cell order:
# ╠═be0ff5da-4326-11ec-0541-ff3acda2c9fd
# ╠═96456db4-efef-4d1b-b563-0699dcecbd3d
# ╠═f659eb0c-6588-4469-a478-46255222677e
# ╠═4c890a60-0078-41f8-ab32-24602d7f0189
# ╠═b5a52f81-870e-4190-83b5-ef84a2ad30f1
# ╠═fe755a26-d561-4d23-b94e-b2e3bcc62227
# ╠═9c4ee5ec-8248-415b-b444-2ad40ebebe74
# ╠═2d53cf21-ee2b-48f2-9a89-69eba76598e0
# ╠═20293c9a-11ca-4495-833a-faddec4a7b67
# ╠═d69b78f2-2431-4648-9b08-8d82774fbfbb
# ╠═db584226-d3f5-42f3-b9dc-7ddc8624bfda
# ╠═41c653bb-b6e0-43d2-a411-0ebd04b6c3e2
# ╠═7fb1fd3c-3ccd-45db-8757-bfbde6090522
# ╠═c1420fc5-de42-4b32-9e13-e859e111996b
# ╠═46c9f81c-3a8c-463a-952e-32287d11f1db
# ╠═8c651a48-a919-4e13-95ed-e0bd929e8b64
# ╠═10938bcf-dbc5-4109-b8a2-ee21c482f610
# ╠═e318c3f0-3828-41fc-9fd0-de2ae3d19e2f
# ╠═0da65b18-e511-4203-a5af-cdb0096acbbf
# ╠═ec1bd1c4-fc35-482b-b186-7f95cb332463
# ╠═0d85a68f-3a5d-4aab-ab0a-b9830e50c383
# ╠═2f6b7042-5cf5-4312-a617-dbeb08e05175
# ╠═b9fe5e74-a524-4c74-8c88-b26204ffa57b
# ╠═5a03a348-93bf-4298-b483-57f1256a09fb
# ╠═28ff091c-fa33-485a-b425-2197a7915419
# ╠═3f0c5427-6a45-44cb-a83e-8f3829c5f3cf
# ╠═03e2712c-0edb-4fd0-ac1f-cd34be4bcc03
# ╠═64644280-577a-4d31-9863-6c9914bba94c
# ╠═19a3a52f-3ecf-46ff-ac4d-5d44ef3a7821
# ╠═ad690dd7-6fad-4194-9cf2-ab33b1b23a11
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002