diff --git a/.gitignore b/.gitignore
index b5ac9c8..447e0ab 100644
--- a/.gitignore
+++ b/.gitignore
@@ -3,4 +3,5 @@
 *.jl.mem
 /Manifest.toml
 /docs/build/
+/docs/src/index.md
 .vscode/
\ No newline at end of file
diff --git a/CITATION.bib b/CITATION.bib
index 3d91b39..0d96d1e 100644
--- a/CITATION.bib
+++ b/CITATION.bib
@@ -1,7 +1,7 @@
 @misc{GraphsOptim.jl,
 	author  = {Guillaume Dalle, Aurora Rossi and contributors},
 	title   = {GraphsOptim.jl},
-	url     = {https://github.com/gdalle/GraphsOptim.jl},
+	url     = {https://github.com/JuliaGraphs/GraphsOptim.jl},
 	version = {v0.1.0},
 	year    = {2023},
 	month   = {6}
diff --git a/README.md b/README.md
index 92c5124..e57ab87 100644
--- a/README.md
+++ b/README.md
@@ -1,9 +1,23 @@
 # GraphsOptim
 
-<!-- [![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://gdalle.github.io/GraphsOptim.jl/stable) -->
-[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://gdalle.github.io/GraphsOptim.jl/dev)
-[![Build Status](https://github.com/gdalle/GraphsOptim.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/gdalle/GraphsOptim.jl/actions/workflows/CI.yml?query=branch%3Amain)
-[![Coverage](https://codecov.io/gh/gdalle/GraphsOptim.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/gdalle/GraphsOptim.jl)
+<!-- [![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://juliagraphs.org/GraphsOptim.jl/stable) -->
+[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://juliagraphs.org/GraphsOptim.jl/dev)
+[![Build Status](https://github.com/JuliaGraphs/GraphsOptim.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/JuliaGraphs/GraphsOptim.jl/actions/workflows/CI.yml?query=branch%3Amain)
+[![Coverage](https://codecov.io/gh/JuliaGraphs/GraphsOptim.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/JuliaGraphs/GraphsOptim.jl)
 [![Code Style: Blue](https://img.shields.io/badge/code%20style-blue-4495d1.svg)](https://github.com/invenia/BlueStyle)
 
 A package for graph optimization algorithms that rely on mathematical programming.
+
+## Getting started
+
+This package is still experimental, which is why it is not yet registered.
+To install it, you need to use the GitHub URL:
+
+```julia
+using Pkg; Pkg.add(url="https://github.com/JuliaGraphs/GraphsOptim.jl")
+```
+
+## Roadmap
+
+This package only contains a few algorithms, and we would like to add more.
+New contributors are always welcome: just pick a problem from [our roadmap issue](https://github.com/JuliaGraphs/GraphsOptim.jl/issues/14), open a pull request following the [guidelines](https://github.com/JuliaGraphs/GraphsOptim.jl/CONTRIBUTING.md), and we will help you get it merged!
diff --git a/docs/Manifest.toml b/docs/Manifest.toml
index 35a8949..52fdd0c 100644
--- a/docs/Manifest.toml
+++ b/docs/Manifest.toml
@@ -1,6 +1,6 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.9.2"
+julia_version = "1.10.0-beta2"
 manifest_format = "2.0"
 project_hash = "1660341366c1a9fa8b8e4838eb0fcf4091a1163e"
 
@@ -9,6 +9,21 @@ git-tree-sha1 = "574baf8110975760d391c710b6341da1afa48d8c"
 uuid = "a4c015fc-c6ff-483c-b24f-f7ea428134e9"
 version = "0.0.1"
 
+[[deps.AbstractTrees]]
+git-tree-sha1 = "faa260e4cb5aba097a73fab382dd4b5819d8ec8c"
+uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
+version = "0.4.4"
+
+[[deps.Adapt]]
+deps = ["LinearAlgebra", "Requires"]
+git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24"
+uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
+version = "3.6.2"
+weakdeps = ["StaticArrays"]
+
+    [deps.Adapt.extensions]
+    AdaptStaticArraysExt = "StaticArrays"
+
 [[deps.ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
 version = "1.1.1"
@@ -22,6 +37,12 @@ version = "0.2.0"
 [[deps.Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
 
+[[deps.Atomix]]
+deps = ["UnsafeAtomics"]
+git-tree-sha1 = "c06a868224ecba914baa6942988e2f2aade419be"
+uuid = "a9b6321e-bd34-4604-b9c9-b65b8de01458"
+version = "0.1.0"
+
 [[deps.Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
@@ -37,17 +58,34 @@ git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
 uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
 version = "1.0.8+0"
 
+[[deps.CEnum]]
+git-tree-sha1 = "eb4cb44a499229b3b8426dcfb5dd85333951ff90"
+uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
+version = "0.4.2"
+
+[[deps.Calculus]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad"
+uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
+version = "0.5.1"
+
+[[deps.ChainRulesCore]]
+deps = ["Compat", "LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "e30f2f4e20f7f186dc36529910beaedc60cfa644"
+uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+version = "1.16.0"
+
 [[deps.CodecBzip2]]
 deps = ["Bzip2_jll", "Libdl", "TranscodingStreams"]
-git-tree-sha1 = "2e62a725210ce3c3c2e1a3080190e7ca491f18d7"
+git-tree-sha1 = "ad41de3795924f7a056243eb3e4161448f0523e6"
 uuid = "523fee87-0ab8-5b00-afb7-3ecf72e48cfd"
-version = "0.7.2"
+version = "0.8.0"
 
 [[deps.CodecZlib]]
 deps = ["TranscodingStreams", "Zlib_jll"]
-git-tree-sha1 = "9c209fb7536406834aa938fb149964b985de6c83"
+git-tree-sha1 = "02aa26a4cf76381be7f66e020a3eddeb27b0a092"
 uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
-version = "0.7.1"
+version = "0.7.2"
 
 [[deps.CommonSubexpressions]]
 deps = ["MacroTools", "Test"]
@@ -57,9 +95,9 @@ version = "0.3.0"
 
 [[deps.Compat]]
 deps = ["UUIDs"]
-git-tree-sha1 = "4e88377ae7ebeaf29a047aa1ee40826e0b708a5d"
+git-tree-sha1 = "8a62af3e248a8c4bad6b32cbbe663ae02275e32c"
 uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
-version = "4.7.0"
+version = "4.10.0"
 weakdeps = ["Dates", "LinearAlgebra"]
 
     [deps.Compat.extensions]
@@ -68,13 +106,18 @@ weakdeps = ["Dates", "LinearAlgebra"]
 [[deps.CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
-version = "1.0.5+0"
+version = "1.0.5+1"
+
+[[deps.DataAPI]]
+git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c"
+uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
+version = "1.15.0"
 
 [[deps.DataStructures]]
 deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
-git-tree-sha1 = "cf25ccb972fec4e4817764d01c82386ae94f77b4"
+git-tree-sha1 = "3dbd312d370723b6bb43ba9d02fc36abade4518d"
 uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
-version = "0.18.14"
+version = "0.18.15"
 
 [[deps.Dates]]
 deps = ["Printf"]
@@ -92,10 +135,34 @@ git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272"
 uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
 version = "1.15.1"
 
+[[deps.Distances]]
+deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
+git-tree-sha1 = "b6def76ffad15143924a2199f72a5cd883a2e8a9"
+uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
+version = "0.10.9"
+weakdeps = ["SparseArrays"]
+
+    [deps.Distances.extensions]
+    DistancesSparseArraysExt = "SparseArrays"
+
 [[deps.Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
+[[deps.Distributions]]
+deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "Test"]
+git-tree-sha1 = "938fe2981db009f531b6332e31c58e9584a2f9bd"
+uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
+version = "0.25.100"
+
+    [deps.Distributions.extensions]
+    DistributionsChainRulesCoreExt = "ChainRulesCore"
+    DistributionsDensityInterfaceExt = "DensityInterface"
+
+    [deps.Distributions.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    DensityInterface = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
+
 [[deps.DocStringExtensions]]
 deps = ["LibGit2"]
 git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
@@ -103,16 +170,28 @@ uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
 version = "0.9.3"
 
 [[deps.Documenter]]
-deps = ["ANSIColoredPrinters", "Base64", "Dates", "DocStringExtensions", "IOCapture", "InteractiveUtils", "JSON", "LibGit2", "Logging", "Markdown", "REPL", "Test", "Unicode"]
-git-tree-sha1 = "39fd748a73dce4c05a9655475e437170d8fb1b67"
+deps = ["ANSIColoredPrinters", "AbstractTrees", "Base64", "Dates", "DocStringExtensions", "Downloads", "IOCapture", "InteractiveUtils", "JSON", "LibGit2", "Logging", "Markdown", "MarkdownAST", "Pkg", "PrecompileTools", "REPL", "RegistryInstances", "SHA", "Test", "Unicode"]
+git-tree-sha1 = "f1a7eaf2b5ac7a4feb27973a09d25daf80dc56db"
 uuid = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
-version = "0.27.25"
+version = "1.0.1"
 
 [[deps.Downloads]]
 deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
 uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
 version = "1.6.0"
 
+[[deps.DualNumbers]]
+deps = ["Calculus", "NaNMath", "SpecialFunctions"]
+git-tree-sha1 = "5837a837389fccf076445fce071c8ddaea35a566"
+uuid = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74"
+version = "0.6.8"
+
+[[deps.ExactOptimalTransport]]
+deps = ["Distances", "Distributions", "FillArrays", "LinearAlgebra", "MathOptInterface", "PDMats", "QuadGK", "SparseArrays", "StatsBase"]
+git-tree-sha1 = "aca11e5cbf419be6778707f4ddc90d486bc79e92"
+uuid = "24df6009-d856-477c-ac5c-91f668376b31"
+version = "0.2.5"
+
 [[deps.FileWatching]]
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
@@ -124,14 +203,20 @@ version = "0.13.11"
 
 [[deps.ForwardDiff]]
 deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
-git-tree-sha1 = "00e252f4d706b3d55a8863432e742bf5717b498d"
+git-tree-sha1 = "cf0fe81336da9fb90944683b8c41984b08793dad"
 uuid = "f6369f11-7733-5829-9624-2563aa707210"
-version = "0.10.35"
+version = "0.10.36"
 weakdeps = ["StaticArrays"]
 
     [deps.ForwardDiff.extensions]
     ForwardDiffStaticArraysExt = "StaticArrays"
 
+[[deps.GPUArraysCore]]
+deps = ["Adapt"]
+git-tree-sha1 = "2d6ca471a6c7b536127afccfa7564b5b39227fe0"
+uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
+version = "0.1.5"
+
 [[deps.Graphs]]
 deps = ["ArnoldiMethod", "Compat", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
 git-tree-sha1 = "1cf1d7dcb4bc32d7b4a5add4232db3750c27ecb4"
@@ -139,16 +224,16 @@ uuid = "86223c79-3864-5bf0-83f7-82e725a168b6"
 version = "1.8.0"
 
 [[deps.GraphsOptim]]
-deps = ["FillArrays", "Graphs", "HiGHS", "JuMP", "LinearAlgebra", "MathOptInterface", "SparseArrays"]
+deps = ["FillArrays", "Graphs", "HiGHS", "JuMP", "LinearAlgebra", "MathOptInterface", "OptimalTransport", "SparseArrays"]
 path = ".."
 uuid = "e79ef3ae-79c8-4b97-b165-63f338db30c2"
 version = "0.1.0"
 
 [[deps.HiGHS]]
 deps = ["HiGHS_jll", "MathOptInterface", "PrecompileTools", "SparseArrays"]
-git-tree-sha1 = "bbd4ab443dfac4c9d5c5b40dd45f598dfad2e26a"
+git-tree-sha1 = "c8801de1b535a44540792be039d7d87f87584b1f"
 uuid = "87dc4568-4c63-4d18-b0c0-bb2238e4078b"
-version = "1.5.2"
+version = "1.6.0"
 
 [[deps.HiGHS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl"]
@@ -156,6 +241,12 @@ git-tree-sha1 = "216e7198aeb256e7c7921ef2937d7e1e589ba6fd"
 uuid = "8fd58aa0-07eb-5a78-9b36-339c94fd15ea"
 version = "1.5.3+0"
 
+[[deps.HypergeometricFunctions]]
+deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
+git-tree-sha1 = "f218fe3736ddf977e0e772bc9a586b2383da2685"
+uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
+version = "0.3.23"
+
 [[deps.IOCapture]]
 deps = ["Logging", "Random"]
 git-tree-sha1 = "d75853a0bdbfb1ac815478bacd89cd27b550ace6"
@@ -176,11 +267,17 @@ git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
 uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
 version = "0.2.2"
 
+[[deps.IterativeSolvers]]
+deps = ["LinearAlgebra", "Printf", "Random", "RecipesBase", "SparseArrays"]
+git-tree-sha1 = "1169632f425f79429f245113b775a0e3d121457c"
+uuid = "42fd0dbc-a981-5370-80f2-aaf504508153"
+version = "0.9.2"
+
 [[deps.JLLWrappers]]
-deps = ["Preferences"]
-git-tree-sha1 = "abc9885a7ca2052a736a600f7fa66209f96506e1"
+deps = ["Artifacts", "Preferences"]
+git-tree-sha1 = "7e5d6779a1e09a36db2a7b6cff50942a0a7d0fca"
 uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
-version = "1.4.1"
+version = "1.5.0"
 
 [[deps.JSON]]
 deps = ["Dates", "Mmap", "Parsers", "Unicode"]
@@ -189,20 +286,59 @@ uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
 version = "0.21.4"
 
 [[deps.JuMP]]
-deps = ["LinearAlgebra", "MathOptInterface", "MutableArithmetics", "OrderedCollections", "Printf", "SnoopPrecompile", "SparseArrays"]
-git-tree-sha1 = "b0ded4f36829f7cfd4400b11289faf9b4f0b795a"
+deps = ["LinearAlgebra", "MacroTools", "MathOptInterface", "MutableArithmetics", "OrderedCollections", "Printf", "SnoopPrecompile", "SparseArrays"]
+git-tree-sha1 = "9c79962793f1d584e24f8b8b8c8ad6aa7f3bdeaa"
 uuid = "4076af6c-e467-56ae-b986-b466b2749572"
-version = "1.12.0"
+version = "1.15.0"
+
+    [deps.JuMP.extensions]
+    JuMPDimensionalDataExt = "DimensionalData"
+
+    [deps.JuMP.weakdeps]
+    DimensionalData = "0703355e-b756-11e9-17c0-8b28908087d0"
+
+[[deps.KernelAbstractions]]
+deps = ["Adapt", "Atomix", "InteractiveUtils", "LinearAlgebra", "MacroTools", "PrecompileTools", "Requires", "SparseArrays", "StaticArrays", "UUIDs", "UnsafeAtomics", "UnsafeAtomicsLLVM"]
+git-tree-sha1 = "4c5875e4c228247e1c2b087669846941fb6e0118"
+uuid = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
+version = "0.9.8"
+
+    [deps.KernelAbstractions.extensions]
+    EnzymeExt = "EnzymeCore"
+
+    [deps.KernelAbstractions.weakdeps]
+    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
+
+[[deps.LLVM]]
+deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Printf", "Unicode"]
+git-tree-sha1 = "a9d2ce1d5007b1e8f6c5b89c5a31ff8bd146db5c"
+uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
+version = "6.2.1"
+
+[[deps.LLVMExtra_jll]]
+deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl", "TOML"]
+git-tree-sha1 = "7ca6850ae880cc99b59b88517545f91a52020afa"
+uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab"
+version = "0.0.25+0"
+
+[[deps.LazilyInitializedFields]]
+git-tree-sha1 = "410fe4739a4b092f2ffe36fcb0dcc3ab12648ce1"
+uuid = "0e77f7df-68c5-4e49-93ce-4cd80f5598bf"
+version = "1.2.1"
+
+[[deps.LazyArtifacts]]
+deps = ["Artifacts", "Pkg"]
+uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
 
 [[deps.LibCURL]]
 deps = ["LibCURL_jll", "MozillaCACerts_jll"]
 uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
-version = "0.6.3"
+version = "0.6.4"
 
 [[deps.LibCURL_jll]]
 deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
 uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
-version = "7.84.0+0"
+version = "8.0.1+1"
 
 [[deps.LibGit2]]
 deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
@@ -211,7 +347,7 @@ uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
 [[deps.LibSSH2_jll]]
 deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
 uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
-version = "1.10.2+0"
+version = "1.11.0+1"
 
 [[deps.Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
@@ -222,9 +358,9 @@ uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[deps.LogExpFunctions]]
 deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
-git-tree-sha1 = "c3ce8e7420b3a6e071e0fe4745f5d4300e37b13f"
+git-tree-sha1 = "7d6dd4e9212aebaeed356de34ccf262a3cd415aa"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-version = "0.3.24"
+version = "0.3.26"
 
     [deps.LogExpFunctions.extensions]
     LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
@@ -241,37 +377,61 @@ uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
 [[deps.MacroTools]]
 deps = ["Markdown", "Random"]
-git-tree-sha1 = "42324d08725e200c23d4dfb549e0d5d89dede2d2"
+git-tree-sha1 = "9ee1618cbf5240e6d4e0371d6f24065083f60c48"
 uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
-version = "0.5.10"
+version = "0.5.11"
 
 [[deps.Markdown]]
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
+[[deps.MarkdownAST]]
+deps = ["AbstractTrees", "Markdown"]
+git-tree-sha1 = "e8513266815200c0c8f522d6d44ffb5e9b366ae4"
+uuid = "d0879d2d-cac2-40c8-9cee-1863dc0c7391"
+version = "0.1.1"
+
 [[deps.MathOptInterface]]
 deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "DataStructures", "ForwardDiff", "JSON", "LinearAlgebra", "MutableArithmetics", "NaNMath", "OrderedCollections", "PrecompileTools", "Printf", "SparseArrays", "SpecialFunctions", "Test", "Unicode"]
-git-tree-sha1 = "5c5cd501ae1d76d3ccd7c7e6b4325a15dde7f31c"
+git-tree-sha1 = "5c9f1e635e8d491297e596b56fec1c95eafb95a3"
 uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
-version = "1.18.0"
+version = "1.20.1"
 
 [[deps.MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
-version = "2.28.2+0"
+version = "2.28.2+1"
+
+[[deps.Missings]]
+deps = ["DataAPI"]
+git-tree-sha1 = "f66bdc5de519e8f8ae43bdc598782d35a25b1272"
+uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
+version = "1.1.0"
 
 [[deps.Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
 [[deps.MozillaCACerts_jll]]
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
-version = "2022.10.11"
+version = "2023.1.10"
 
 [[deps.MutableArithmetics]]
 deps = ["LinearAlgebra", "SparseArrays", "Test"]
-git-tree-sha1 = "964cb1a7069723727025ae295408747a0b36a854"
+git-tree-sha1 = "6985021d02ab8c509c841bb8b2becd3145a7b490"
 uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
-version = "1.3.0"
+version = "1.3.3"
+
+[[deps.NNlib]]
+deps = ["Adapt", "Atomix", "ChainRulesCore", "GPUArraysCore", "KernelAbstractions", "LinearAlgebra", "Pkg", "Random", "Requires", "Statistics"]
+git-tree-sha1 = "72240e3f5ca031937bd536182cb2c031da5f46dd"
+uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
+version = "0.8.21"
+
+    [deps.NNlib.extensions]
+    NNlibAMDGPUExt = "AMDGPU"
+
+    [deps.NNlib.weakdeps]
+    AMDGPU = "21141c5a-9bdb-4563-92ae-f87d6854732e"
 
 [[deps.NaNMath]]
 deps = ["OpenLibm_jll"]
@@ -286,12 +446,12 @@ version = "1.2.0"
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
-version = "0.3.21+4"
+version = "0.3.23+2"
 
 [[deps.OpenLibm_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
-version = "0.8.1+0"
+version = "0.8.1+2"
 
 [[deps.OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
@@ -299,33 +459,45 @@ git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
 uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
 version = "0.5.5+0"
 
+[[deps.OptimalTransport]]
+deps = ["ExactOptimalTransport", "IterativeSolvers", "LinearAlgebra", "LogExpFunctions", "NNlib", "Reexport"]
+git-tree-sha1 = "79ba1dab46dfc7b677278ebe892a431788da86a9"
+uuid = "7e02d93a-ae51-4f58-b602-d97af76e3b33"
+version = "0.3.19"
+
 [[deps.OrderedCollections]]
-git-tree-sha1 = "d321bf2de576bf25ec4d3e4360faca399afca282"
+git-tree-sha1 = "2e73fe17cac3c62ad1aebe70d44c963c3cfdc3e3"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
-version = "1.6.0"
+version = "1.6.2"
+
+[[deps.PDMats]]
+deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "bf6085e8bd7735e68c210c6e5d81f9a6fe192060"
+uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
+version = "0.11.19"
 
 [[deps.Parsers]]
 deps = ["Dates", "PrecompileTools", "UUIDs"]
-git-tree-sha1 = "4b2e829ee66d4218e0cef22c0a64ee37cf258c29"
+git-tree-sha1 = "716e24b21538abc91f6205fd1d8363f39b442851"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.7.1"
+version = "2.7.2"
 
 [[deps.Pkg]]
 deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
 uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
-version = "1.9.2"
+version = "1.10.0"
 
 [[deps.PrecompileTools]]
 deps = ["Preferences"]
-git-tree-sha1 = "9673d39decc5feece56ef3940e5dafba15ba0f81"
+git-tree-sha1 = "03b4c25b43cb84cee5c90aa9b5ea0a78fd848d2f"
 uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
-version = "1.1.2"
+version = "1.2.0"
 
 [[deps.Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "7eb1686b4f04b82f96ed7a4ea5890a4f0c7a09f1"
+git-tree-sha1 = "00805cd429dcb4870060ff49ef443486c262e38e"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.4.0"
+version = "1.4.1"
 
 [[deps.Printf]]
 deps = ["Unicode"]
@@ -335,14 +507,55 @@ uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
 deps = ["Printf"]
 uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
 
+[[deps.QuadGK]]
+deps = ["DataStructures", "LinearAlgebra"]
+git-tree-sha1 = "9ebcd48c498668c7fa0e97a9cae873fbee7bfee1"
+uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
+version = "2.9.1"
+
 [[deps.REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
 uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
 
 [[deps.Random]]
-deps = ["SHA", "Serialization"]
+deps = ["SHA"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
+[[deps.RecipesBase]]
+deps = ["PrecompileTools"]
+git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff"
+uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
+version = "1.3.4"
+
+[[deps.Reexport]]
+git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
+uuid = "189a3867-3050-52da-a836-e630ba90ab69"
+version = "1.2.2"
+
+[[deps.RegistryInstances]]
+deps = ["LazilyInitializedFields", "Pkg", "TOML", "Tar"]
+git-tree-sha1 = "ffd19052caf598b8653b99404058fce14828be51"
+uuid = "2792f1a3-b283-48e8-9a74-f99dce5104f3"
+version = "0.1.0"
+
+[[deps.Requires]]
+deps = ["UUIDs"]
+git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
+uuid = "ae029012-a4dd-5104-9daa-d747884805df"
+version = "1.3.0"
+
+[[deps.Rmath]]
+deps = ["Random", "Rmath_jll"]
+git-tree-sha1 = "f65dcb5fa46aee0cf9ed6274ccbd597adc49aa7b"
+uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
+version = "0.7.1"
+
+[[deps.Rmath_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "6ed52fdd3382cf21947b15e8870ac0ddbff736da"
+uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
+version = "0.4.0+0"
+
 [[deps.SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
 version = "0.7.0"
@@ -369,46 +582,81 @@ version = "1.0.3"
 [[deps.Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
+[[deps.SortingAlgorithms]]
+deps = ["DataStructures"]
+git-tree-sha1 = "c60ec5c62180f27efea3ba2908480f8055e17cee"
+uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
+version = "1.1.1"
+
 [[deps.SparseArrays]]
 deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+version = "1.10.0"
 
 [[deps.SpecialFunctions]]
 deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
-git-tree-sha1 = "7beb031cf8145577fbccacd94b8a8f4ce78428d3"
+git-tree-sha1 = "e2cfc4012a19088254b3950b85c3c1d8882d864d"
 uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
-version = "2.3.0"
+version = "2.3.1"
+weakdeps = ["ChainRulesCore"]
 
     [deps.SpecialFunctions.extensions]
     SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"
 
-    [deps.SpecialFunctions.weakdeps]
-    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-
 [[deps.StaticArrays]]
 deps = ["LinearAlgebra", "Random", "StaticArraysCore"]
-git-tree-sha1 = "0da7e6b70d1bb40b1ace3b576da9ea2992f76318"
+git-tree-sha1 = "d5fb407ec3179063214bc6277712928ba78459e2"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.6.0"
+version = "1.6.4"
 weakdeps = ["Statistics"]
 
     [deps.StaticArrays.extensions]
     StaticArraysStatisticsExt = "Statistics"
 
 [[deps.StaticArraysCore]]
-git-tree-sha1 = "6b7ba252635a5eff6a0b0664a41ee140a1c9e72a"
+git-tree-sha1 = "36b3d696ce6366023a0ea192b4cd442268995a0d"
 uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
-version = "1.4.0"
+version = "1.4.2"
 
 [[deps.Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 version = "1.9.0"
 
+[[deps.StatsAPI]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "1ff449ad350c9c4cbc756624d6f8a8c3ef56d3ed"
+uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
+version = "1.7.0"
+
+[[deps.StatsBase]]
+deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
+git-tree-sha1 = "75ebe04c5bed70b91614d684259b661c9e6274a4"
+uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
+version = "0.34.0"
+
+[[deps.StatsFuns]]
+deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
+git-tree-sha1 = "f625d686d5a88bcd2b15cd81f18f98186fdc0c9a"
+uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
+version = "1.3.0"
+
+    [deps.StatsFuns.extensions]
+    StatsFunsChainRulesCoreExt = "ChainRulesCore"
+    StatsFunsInverseFunctionsExt = "InverseFunctions"
+
+    [deps.StatsFuns.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
+
+[[deps.SuiteSparse]]
+deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
+uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
+
 [[deps.SuiteSparse_jll]]
 deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"]
 uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
-version = "5.10.1+6"
+version = "7.2.0+1"
 
 [[deps.TOML]]
 deps = ["Dates"]
@@ -437,22 +685,33 @@ uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
 [[deps.Unicode]]
 uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
 
+[[deps.UnsafeAtomics]]
+git-tree-sha1 = "6331ac3440856ea1988316b46045303bef658278"
+uuid = "013be700-e6cd-48c3-b4a1-df204f14c38f"
+version = "0.2.1"
+
+[[deps.UnsafeAtomicsLLVM]]
+deps = ["LLVM", "UnsafeAtomics"]
+git-tree-sha1 = "323e3d0acf5e78a56dfae7bd8928c989b4f3083e"
+uuid = "d80eeb9a-aca5-4d75-85e5-170c8b632249"
+version = "0.1.3"
+
 [[deps.Zlib_jll]]
 deps = ["Libdl"]
 uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
-version = "1.2.13+0"
+version = "1.2.13+1"
 
 [[deps.libblastrampoline_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
-version = "5.8.0+0"
+version = "5.8.0+1"
 
 [[deps.nghttp2_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
-version = "1.48.0+0"
+version = "1.52.0+1"
 
 [[deps.p7zip_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
-version = "17.4.0+0"
+version = "17.4.0+2"
diff --git a/docs/Project.toml b/docs/Project.toml
index d3c0ab6..ce6a40f 100644
--- a/docs/Project.toml
+++ b/docs/Project.toml
@@ -1,3 +1,6 @@
 [deps]
 Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
 GraphsOptim = "e79ef3ae-79c8-4b97-b165-63f338db30c2"
+
+[compat]
+Documenter = "1.0"
\ No newline at end of file
diff --git a/docs/make.jl b/docs/make.jl
index 240147b..e0a68aa 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -3,18 +3,38 @@ using Documenter
 
 DocMeta.setdocmeta!(GraphsOptim, :DocTestSetup, :(using GraphsOptim); recursive=true)
 
+generated_path = joinpath(@__DIR__, "src")
+base_url = "https://github.com/JuliaGraphs/GraphsOptim.jl/blob/main/"
+isdir(generated_path) || mkdir(generated_path)
+
+open(joinpath(generated_path, "index.md"), "w") do io
+    # Point to source license file
+    println(
+        io,
+        """
+        ```@meta
+        EditURL = "$(base_url)README.md"
+        ```
+        """,
+    )
+    # Write the contents out below the meta block
+    for line in eachline(joinpath(dirname(@__DIR__), "README.md"))
+        println(io, line)
+    end
+end
+
 makedocs(;
     modules=[GraphsOptim],
-    authors="Guillaume Dalle <22795598+gdalle@users.noreply.github.com> and contributors",
-    repo="https://github.com/gdalle/GraphsOptim.jl/blob/{commit}{path}#{line}",
+    authors="Guillaume Dalle, Aurora Rossi and contributors",
     sitename="GraphsOptim.jl",
     format=Documenter.HTML(;
+        repolink="https://github.com/JuliaGraphs/GraphsOptim.jl/",
         prettyurls=get(ENV, "CI", "false") == "true",
-        canonical="https://gdalle.github.io/GraphsOptim.jl",
+        canonical="https://JuliaGraphs.github.io/GraphsOptim.jl",
         assets=String[],
         edit_link=:commit,
     ),
     pages=["Home" => "index.md", "Algorithms" => "algorithms.md"],
 )
 
-deploydocs(; repo="github.com/gdalle/GraphsOptim.jl", devbranch="main")
+deploydocs(; repo="github.com/JuliaGraphs/GraphsOptim.jl", devbranch="main")
diff --git a/docs/src/algorithms.md b/docs/src/algorithms.md
index 5fd73ca..15335df 100644
--- a/docs/src/algorithms.md
+++ b/docs/src/algorithms.md
@@ -1,5 +1,9 @@
 # Algorithms
 
+```@docs
+GraphsOptim
+```
+
 ## Flow
 
 ```@docs
@@ -55,6 +59,7 @@ GraphsOptim.min_cost_assignment!
 
 ```@docs
 graph_matching
+GraphsOptim.graph_matching_step_size
 ```
 
 ## Utils
diff --git a/docs/src/index.md b/docs/src/index.md
deleted file mode 100644
index 64f83aa..0000000
--- a/docs/src/index.md
+++ /dev/null
@@ -1,16 +0,0 @@
-```@meta
-CurrentModule = GraphsOptim
-```
-
-# GraphsOptim
-
-Documentation for [GraphsOptim](https://github.com/gdalle/GraphsOptim.jl).
-
-```@docs
-GraphsOptim
-```
-
-## Index
-
-```@index
-```