diff --git a/Manifest.toml b/Manifest.toml
index c6518c0..98eccdd 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -2,18 +2,18 @@
 
 julia_version = "1.9.3"
 manifest_format = "2.0"
-project_hash = "e2dfd06edc6a9e3f2fe028723bfb75222df5a783"
+project_hash = "3aab28eba6f6614348d0fe67c7cbcbc999e9fb24"
 
 [[deps.ADTypes]]
-git-tree-sha1 = "f5c25e8a5b29b5e941b7408bc8cc79fea4d9ef9a"
+git-tree-sha1 = "016833eb52ba2d6bea9fcb50ca295980e728ee24"
 uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
-version = "0.1.6"
+version = "0.2.7"
 
 [[deps.AbstractAlgebra]]
 deps = ["GroupsCore", "InteractiveUtils", "LinearAlgebra", "MacroTools", "Preferences", "Random", "RandomExtensions", "SparseArrays", "Test"]
-git-tree-sha1 = "0eb58a9abe767f5813194a2610b5295c2d22ce9d"
+git-tree-sha1 = "d7832de8cf7af26abac741f10372080ac6cb73df"
 uuid = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
-version = "0.31.0"
+version = "0.34.7"
 
 [[deps.AbstractFFTs]]
 deps = ["LinearAlgebra"]
@@ -32,15 +32,15 @@ uuid = "398f06c4-4d28-53ec-89ca-5b2656b7603d"
 version = "0.3.0"
 
 [[deps.AbstractTrees]]
-git-tree-sha1 = "faa260e4cb5aba097a73fab382dd4b5819d8ec8c"
+git-tree-sha1 = "2d9c9a55f9c93e8887ad391fbae72f8ef55e1177"
 uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
-version = "0.4.4"
+version = "0.4.5"
 
 [[deps.Adapt]]
 deps = ["LinearAlgebra", "Requires"]
-git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24"
+git-tree-sha1 = "cde29ddf7e5726c9fb511f340244ea3481267608"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "3.6.2"
+version = "3.7.2"
 weakdeps = ["StaticArrays"]
 
     [deps.Adapt.extensions]
@@ -58,9 +58,9 @@ version = "1.1.1"
 
 [[deps.ArrayInterface]]
 deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "f83ec24f76d4c8f525099b2ac475fc098138ec31"
+git-tree-sha1 = "c5aeb516a84459e0318a02507d2261edad97eb75"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "7.4.11"
+version = "7.7.1"
 
     [deps.ArrayInterface.extensions]
     ArrayInterfaceBandedMatricesExt = "BandedMatrices"
@@ -79,10 +79,14 @@ version = "7.4.11"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
 
 [[deps.ArrayLayouts]]
-deps = ["FillArrays", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "6189f7819e6345bcc097331c7db571f2f211364f"
+deps = ["FillArrays", "LinearAlgebra"]
+git-tree-sha1 = "6404a564c24a994814106c374bec893195e19bac"
 uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
-version = "1.1.1"
+version = "1.8.0"
+weakdeps = ["SparseArrays"]
+
+    [deps.ArrayLayouts.extensions]
+    ArrayLayoutsSparseArraysExt = "SparseArrays"
 
 [[deps.Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
@@ -116,52 +120,46 @@ uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
 [[deps.BenchmarkTools]]
 deps = ["JSON", "Logging", "Printf", "Profile", "Statistics", "UUIDs"]
-git-tree-sha1 = "d9a9701b899b30332bbcb3e1679c41cce81fb0e8"
+git-tree-sha1 = "f1dff6729bc61f4d49e140da1af55dcd1ac97b2f"
 uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
-version = "1.3.2"
+version = "1.5.0"
 
 [[deps.Bijections]]
-git-tree-sha1 = "fe4f8c5ee7f76f2198d5c2a06d3961c249cce7bd"
+git-tree-sha1 = "c9b163bd832e023571e86d0b90d9de92a9879088"
 uuid = "e2ed5e7c-b2de-5872-ae92-c73ca462fb04"
-version = "0.1.4"
+version = "0.1.6"
 
 [[deps.BitFlags]]
-git-tree-sha1 = "43b1a4a8f797c1cddadf60499a8a077d4af2cd2d"
+git-tree-sha1 = "2dc09997850d68179b69dafb58ae806167a32b1b"
 uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
-version = "0.1.7"
+version = "0.1.8"
 
 [[deps.Blink]]
 deps = ["Base64", "Distributed", "HTTP", "JSExpr", "JSON", "Lazy", "Logging", "MacroTools", "Mustache", "Mux", "Pkg", "Reexport", "Sockets", "WebIO"]
-git-tree-sha1 = "b1c61fd7e757c7e5ca6521ef41df8d929f41e3af"
+git-tree-sha1 = "bc93511973d1f949d45b0ea17878e6cb0ad484a1"
 uuid = "ad839575-38b3-5650-b840-f874b8c74a25"
-version = "0.12.8"
+version = "0.12.9"
 
 [[deps.BlockArrays]]
 deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra"]
-git-tree-sha1 = "174b4970af15a500a29e76151f5c53195784b9d4"
+git-tree-sha1 = "1b8a8f5980d2f6ec204514e21f73efa4540c1322"
 uuid = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
-version = "0.16.36"
+version = "0.16.42"
 
 [[deps.Bzip2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
+git-tree-sha1 = "9e2a6b69137e6969bab0152632dcb3bc108c8bdd"
 uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
-version = "1.0.8+0"
+version = "1.0.8+1"
 
 [[deps.CEnum]]
-git-tree-sha1 = "eb4cb44a499229b3b8426dcfb5dd85333951ff90"
+git-tree-sha1 = "389ad5c84de1ae7cf0e28e381131c98ea87d54fc"
 uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
-version = "0.4.2"
+version = "0.5.0"
 
 [[deps.CRC32c]]
 uuid = "8bf52ea8-c179-5cab-976a-9e18b702a9bc"
 
-[[deps.CRlibm]]
-deps = ["CRlibm_jll"]
-git-tree-sha1 = "32abd86e3c2025db5172aa182b982debed519834"
-uuid = "96374032-68de-5a5b-8d9e-752f78720389"
-version = "1.0.1"
-
 [[deps.CRlibm_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "e329286945d0cfc04456972ea732551869af1cfc"
@@ -170,15 +168,15 @@ version = "1.0.1+0"
 
 [[deps.CSV]]
 deps = ["CodecZlib", "Dates", "FilePathsBase", "InlineStrings", "Mmap", "Parsers", "PooledArrays", "PrecompileTools", "SentinelArrays", "Tables", "Unicode", "WeakRefStrings", "WorkerUtilities"]
-git-tree-sha1 = "44dbf560808d49041989b8a96cae4cffbeb7966a"
+git-tree-sha1 = "a44910ceb69b0d44fe262dd451ab11ead3ed0be8"
 uuid = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"
-version = "0.10.11"
+version = "0.10.13"
 
 [[deps.Cairo_jll]]
-deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2"
+deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
+git-tree-sha1 = "a4c43f59baa34011e303e76f5c8c91bf58415aaf"
 uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
-version = "1.16.1+1"
+version = "1.18.0+1"
 
 [[deps.Calculus]]
 deps = ["LinearAlgebra"]
@@ -188,27 +186,31 @@ version = "0.5.1"
 
 [[deps.ChainRules]]
 deps = ["Adapt", "ChainRulesCore", "Compat", "Distributed", "GPUArraysCore", "IrrationalConstants", "LinearAlgebra", "Random", "RealDot", "SparseArrays", "SparseInverseSubset", "Statistics", "StructArrays", "SuiteSparse"]
-git-tree-sha1 = "01b0594d8907485ed894bc59adfc0a24a9cde7a3"
+git-tree-sha1 = "4e42872be98fa3343c4f8458cbda8c5c6a6fa97c"
 uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
-version = "1.55.0"
+version = "1.63.0"
 
 [[deps.ChainRulesCore]]
-deps = ["Compat", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "e30f2f4e20f7f186dc36529910beaedc60cfa644"
+deps = ["Compat", "LinearAlgebra"]
+git-tree-sha1 = "575cd02e080939a33b6df6c5853d14924c08e35b"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "1.16.0"
+version = "1.23.0"
+weakdeps = ["SparseArrays"]
+
+    [deps.ChainRulesCore.extensions]
+    ChainRulesCoreSparseArraysExt = "SparseArrays"
 
 [[deps.CodecBzip2]]
 deps = ["Bzip2_jll", "Libdl", "TranscodingStreams"]
-git-tree-sha1 = "2e62a725210ce3c3c2e1a3080190e7ca491f18d7"
+git-tree-sha1 = "9b1ca1aa6ce3f71b3d1840c538a8210a043625eb"
 uuid = "523fee87-0ab8-5b00-afb7-3ecf72e48cfd"
-version = "0.7.2"
+version = "0.8.2"
 
 [[deps.CodecZlib]]
 deps = ["TranscodingStreams", "Zlib_jll"]
-git-tree-sha1 = "02aa26a4cf76381be7f66e020a3eddeb27b0a092"
+git-tree-sha1 = "59939d8a997469ee05c4b4944560a820f9ba0d73"
 uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
-version = "0.7.2"
+version = "0.7.4"
 
 [[deps.ColorBrewer]]
 deps = ["Colors", "JSON", "Test"]
@@ -261,10 +263,10 @@ uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
 version = "0.3.0"
 
 [[deps.Compat]]
-deps = ["UUIDs"]
-git-tree-sha1 = "e460f044ca8b99be31d35fe54fc33a5c33dd8ed7"
+deps = ["TOML", "UUIDs"]
+git-tree-sha1 = "c955881e3c981181362ae4088b35995446298b80"
 uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
-version = "4.9.0"
+version = "4.14.0"
 weakdeps = ["Dates", "LinearAlgebra"]
 
     [deps.Compat.extensions]
@@ -273,7 +275,7 @@ weakdeps = ["Dates", "LinearAlgebra"]
 [[deps.CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
-version = "1.0.5+1"
+version = "1.0.5+0"
 
 [[deps.CompositeTypes]]
 git-tree-sha1 = "02d2316b7ffceff992f3096ae48c7829a8aa0638"
@@ -282,9 +284,9 @@ version = "0.1.3"
 
 [[deps.ConcurrentUtilities]]
 deps = ["Serialization", "Sockets"]
-git-tree-sha1 = "5372dbbf8f0bdb8c700db5367132925c0771ef7e"
+git-tree-sha1 = "6cbbd4d241d7e6579ab354737f4dd95ca43946e1"
 uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb"
-version = "2.2.1"
+version = "2.4.1"
 
 [[deps.Conda]]
 deps = ["Downloads", "JSON", "VersionParsing"]
@@ -294,9 +296,9 @@ version = "1.10.0"
 
 [[deps.ConstructionBase]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "fe2838a593b5f776e1597e086dcd47560d94e816"
+git-tree-sha1 = "260fd2400ed2dab602a7c15cf10c1933c59930a2"
 uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
-version = "1.5.3"
+version = "1.5.5"
 weakdeps = ["IntervalSets", "StaticArrays"]
 
     [deps.ConstructionBase.extensions]
@@ -314,15 +316,15 @@ uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
 version = "4.1.1"
 
 [[deps.DataAPI]]
-git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c"
+git-tree-sha1 = "abe83f3a2f1b857aac70ef8b269080af17764bbe"
 uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
-version = "1.15.0"
+version = "1.16.0"
 
 [[deps.DataDeps]]
-deps = ["HTTP", "Libdl", "Reexport", "SHA", "p7zip_jll"]
-git-tree-sha1 = "6e8d74545d34528c30ccd3fa0f3c00f8ed49584c"
+deps = ["HTTP", "Libdl", "Reexport", "SHA", "Scratch", "p7zip_jll"]
+git-tree-sha1 = "8ae085b71c462c2cb1cfedcb10c3c877ec6cf03f"
 uuid = "124859b0-ceae-595e-8997-d05f6a7a8dfe"
-version = "0.7.11"
+version = "0.7.13"
 
 [[deps.DataFrames]]
 deps = ["Compat", "DataAPI", "DataStructures", "Future", "InlineStrings", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrecompileTools", "PrettyTables", "Printf", "REPL", "Random", "Reexport", "SentinelArrays", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
@@ -332,9 +334,9 @@ version = "1.6.1"
 
 [[deps.DataStructures]]
 deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
-git-tree-sha1 = "3dbd312d370723b6bb43ba9d02fc36abade4518d"
+git-tree-sha1 = "0f4b5d62a88d8f59003e43c25a8a90de9eb76317"
 uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
-version = "0.18.15"
+version = "0.18.18"
 
 [[deps.DataValueInterfaces]]
 git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
@@ -374,18 +376,20 @@ deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[deps.Distributions]]
-deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "Test"]
-git-tree-sha1 = "e76a3281de2719d7c81ed62c6ea7057380c87b1d"
+deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "7c302d7a5fec5214eb8a5a4c466dcf7a51fcf169"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.98"
+version = "0.25.107"
 
     [deps.Distributions.extensions]
     DistributionsChainRulesCoreExt = "ChainRulesCore"
     DistributionsDensityInterfaceExt = "DensityInterface"
+    DistributionsTestExt = "Test"
 
     [deps.Distributions.weakdeps]
     ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
     DensityInterface = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
+    Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [[deps.DocStringExtensions]]
 deps = ["LibGit2"]
@@ -412,9 +416,9 @@ version = "0.6.8"
 
 [[deps.DynamicPolynomials]]
 deps = ["Future", "LinearAlgebra", "MultivariatePolynomials", "MutableArithmetics", "Pkg", "Reexport", "Test"]
-git-tree-sha1 = "9b05a8bc04d7a9a9c7e9ee3b0fdf1584857b65dc"
+git-tree-sha1 = "0bb0a6f812213ecc8fbbcf472f4a993036858971"
 uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07"
-version = "0.5.2"
+version = "0.5.5"
 
 [[deps.EarCut_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -433,22 +437,17 @@ git-tree-sha1 = "8e9441ee83492030ace98f9789a654a6d0b1f643"
 uuid = "2702e6a9-849d-5ed8-8c21-79e8b8f9ee43"
 version = "0.0.20230411+0"
 
-[[deps.ErrorfreeArithmetic]]
-git-tree-sha1 = "d6863c556f1142a061532e79f611aa46be201686"
-uuid = "90fa49ef-747e-5e6f-a989-263ba693cf1a"
-version = "0.5.2"
-
 [[deps.ExactPredicates]]
-deps = ["IntervalArithmetic", "Random", "StaticArraysCore"]
-git-tree-sha1 = "499b1ca78f6180c8f8bdf1cabde2d39120229e5c"
+deps = ["IntervalArithmetic", "Random", "StaticArrays"]
+git-tree-sha1 = "b3f2ff58735b5f024c392fde763f29b057e4b025"
 uuid = "429591f6-91af-11e9-00e2-59fbe8cec110"
-version = "2.2.6"
+version = "2.2.8"
 
 [[deps.ExceptionUnwrapping]]
 deps = ["Test"]
-git-tree-sha1 = "e90caa41f5a86296e014e148ee061bd6c3edec96"
+git-tree-sha1 = "dcb08a0d93ec0b1cdc4af184b26b591e9695423a"
 uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
-version = "0.1.9"
+version = "0.1.10"
 
 [[deps.Expat_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -490,17 +489,11 @@ git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea"
 uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
 version = "3.3.10+0"
 
-[[deps.FastRounding]]
-deps = ["ErrorfreeArithmetic", "LinearAlgebra"]
-git-tree-sha1 = "6344aa18f654196be82e62816935225b3b9abe44"
-uuid = "fa42c844-2597-5d31-933b-ebd51ab2693f"
-version = "0.3.1"
-
 [[deps.FileIO]]
 deps = ["Pkg", "Requires", "UUIDs"]
-git-tree-sha1 = "c5c28c245101bd59154f649e19b038d15901b5dc"
+git-tree-sha1 = "82d8afa92ecf4b52d78d869f038ebfb881267322"
 uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
-version = "1.16.2"
+version = "1.16.3"
 
 [[deps.FilePaths]]
 deps = ["FilePathsBase", "MacroTools", "Reexport", "Requires"]
@@ -518,10 +511,16 @@ version = "0.9.21"
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
 [[deps.FillArrays]]
-deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
-git-tree-sha1 = "f372472e8672b1d993e93dada09e23139b509f9e"
+deps = ["LinearAlgebra", "Random"]
+git-tree-sha1 = "5b93957f6dcd33fc343044af3d48c215be2562f1"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
-version = "1.5.0"
+version = "1.9.3"
+weakdeps = ["PDMats", "SparseArrays", "Statistics"]
+
+    [deps.FillArrays.extensions]
+    FillArraysPDMatsExt = "PDMats"
+    FillArraysSparseArraysExt = "SparseArrays"
+    FillArraysStatisticsExt = "Statistics"
 
 [[deps.FiniteDiff]]
 deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays"]
@@ -551,17 +550,16 @@ git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
 uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
 version = "2.13.93+0"
 
-[[deps.Formatting]]
-deps = ["Printf"]
-git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
-uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
-version = "0.4.2"
+[[deps.Format]]
+git-tree-sha1 = "9c68794ef81b08086aeb32eeaf33531668d5f5fc"
+uuid = "1fa38f19-a742-5d3f-a2b9-30dd87b9d5f8"
+version = "1.3.7"
 
 [[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]
@@ -626,15 +624,15 @@ version = "3.3.9+0"
 
 [[deps.GLMakie]]
 deps = ["ColorTypes", "Colors", "FileIO", "FixedPointNumbers", "FreeTypeAbstraction", "GLFW", "GeometryBasics", "LinearAlgebra", "Makie", "Markdown", "MeshIO", "ModernGL", "Observables", "PrecompileTools", "Printf", "ShaderAbstractions", "StaticArrays"]
-git-tree-sha1 = "31571f931b22f0ebb98cace13b74c0d4516c8c2b"
+git-tree-sha1 = "7a411adf08375e01d864386fb1eaf384de5ac9e9"
 uuid = "e9467ef8-e4e7-5192-8a1a-b1aee30e663a"
-version = "0.9.8"
+version = "0.9.9"
 
 [[deps.GPUArrays]]
 deps = ["Adapt", "GPUArraysCore", "LLVM", "LinearAlgebra", "Printf", "Random", "Reexport", "Serialization", "Statistics"]
-git-tree-sha1 = "8ad8f375ae365aa1eb2f42e2565a40b55a4b69a8"
+git-tree-sha1 = "85d7fb51afb3def5dcb85ad31c3707795c8bccc1"
 uuid = "0c68f7d7-f131-5f86-a1c3-88cf8149b2d7"
-version = "9.0.0"
+version = "9.1.0"
 
 [[deps.GPUArraysCore]]
 deps = ["Adapt"]
@@ -644,15 +642,15 @@ version = "0.1.5"
 
 [[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 = "27442171f28c952804dede8ff72828a96f2bfc1f"
+git-tree-sha1 = "3437ade7073682993e092ca570ad68a2aba26983"
 uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
-version = "0.72.10"
+version = "0.73.3"
 
 [[deps.GR_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "FreeType2_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt6Base_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "025d171a2847f616becc0f84c8dc62fe18f0f6dd"
+git-tree-sha1 = "a96d5c713e6aa28c242b0d25c1347e258d6541ab"
 uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
-version = "0.72.10+0"
+version = "0.73.3+0"
 
 [[deps.GeoInterface]]
 deps = ["Extents"]
@@ -674,9 +672,9 @@ version = "0.21.0+0"
 
 [[deps.Glib_jll]]
 deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Zlib_jll"]
-git-tree-sha1 = "e94c92c7bf4819685eb80186d51c43e71d4afa17"
+git-tree-sha1 = "359a1ba2e320790ddbe4ee8b4d54a305c0ea2aff"
 uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
-version = "2.76.5+0"
+version = "2.80.0+0"
 
 [[deps.Graphite2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -686,9 +684,9 @@ version = "1.3.14+0"
 
 [[deps.GridLayoutBase]]
 deps = ["GeometryBasics", "InteractiveUtils", "Observables"]
-git-tree-sha1 = "af13a277efd8a6e716d79ef635d5342ccb75be61"
+git-tree-sha1 = "6f93a83ca11346771a93bbde2bdad2f65b61498f"
 uuid = "3955a311-db13-416c-9275-1d80ed98e5e9"
-version = "0.10.0"
+version = "0.10.2"
 
 [[deps.Grisu]]
 git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
@@ -696,22 +694,22 @@ uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
 version = "1.0.2"
 
 [[deps.Groebner]]
-deps = ["AbstractAlgebra", "Combinatorics", "Logging", "MultivariatePolynomials", "Primes", "Random", "SIMD", "SnoopPrecompile"]
-git-tree-sha1 = "17c81e8dd04cc8f70bccf8c50aa2d39f5ff2a3ec"
+deps = ["AbstractAlgebra", "Combinatorics", "ExprTools", "Logging", "MultivariatePolynomials", "PrecompileTools", "PrettyTables", "Primes", "Printf", "Random", "SIMD", "TimerOutputs"]
+git-tree-sha1 = "6b505ef15e55bdc5bb3ddbcfebdff1c9e67081e8"
 uuid = "0b43b601-686d-58a3-8a1c-6623616c7cd4"
-version = "0.4.2"
+version = "0.5.1"
 
 [[deps.GroupsCore]]
 deps = ["Markdown", "Random"]
-git-tree-sha1 = "9e1a5e9f3b81ad6a5c613d181664a0efc6fe6dd7"
+git-tree-sha1 = "6df9cd6ee79fc59feab33f63a1b3c9e95e2461d5"
 uuid = "d5909c97-4eac-4ecc-a3dc-fdd0858a4120"
-version = "0.4.0"
+version = "0.4.2"
 
 [[deps.HTTP]]
 deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
-git-tree-sha1 = "cb56ccdd481c0dd7f975ad2b3b62d9eda088f7e2"
+git-tree-sha1 = "8e59b47b9dc525b70550ca082ce85bcd7f5477cd"
 uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
-version = "1.9.14"
+version = "1.10.5"
 
 [[deps.HarfBuzz_jll]]
 deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
@@ -739,9 +737,9 @@ version = "1.24.2"
 
 [[deps.IRTools]]
 deps = ["InteractiveUtils", "MacroTools", "Test"]
-git-tree-sha1 = "eac00994ce3229a464c2847e956d77a2c64ad3a5"
+git-tree-sha1 = "5d8c5713f38f7bc029e26627b687710ba406d0dd"
 uuid = "7869d1d1-7146-5819-86e3-90919afe41df"
-version = "0.4.10"
+version = "0.4.12"
 
 [[deps.IfElse]]
 git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
@@ -826,19 +824,26 @@ weakdeps = ["Unitful"]
     InterpolationsUnitfulExt = "Unitful"
 
 [[deps.IntervalArithmetic]]
-deps = ["CRlibm", "EnumX", "FastRounding", "LinearAlgebra", "Markdown", "Random", "RecipesBase", "RoundingEmulator", "SetRounding", "StaticArrays"]
-git-tree-sha1 = "f59e639916283c1d2e106d2b00910b50f4dab76c"
+deps = ["CRlibm_jll", "RoundingEmulator"]
+git-tree-sha1 = "552505ed27d2a90ff04c15b0ecf4634e0ab5547b"
 uuid = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253"
-version = "0.21.2"
+version = "0.22.9"
+weakdeps = ["DiffRules", "ForwardDiff", "RecipesBase"]
+
+    [deps.IntervalArithmetic.extensions]
+    IntervalArithmeticDiffRulesExt = "DiffRules"
+    IntervalArithmeticForwardDiffExt = "ForwardDiff"
+    IntervalArithmeticRecipesBaseExt = "RecipesBase"
 
 [[deps.IntervalSets]]
-deps = ["Dates", "Random"]
-git-tree-sha1 = "8e59ea773deee525c99a8018409f64f19fb719e6"
+git-tree-sha1 = "dba9ddf07f77f60450fe5d2e2beb9854d9a49bd0"
 uuid = "8197267c-284f-5f27-9208-e0e47529a953"
-version = "0.7.7"
-weakdeps = ["Statistics"]
+version = "0.7.10"
+weakdeps = ["Random", "RecipesBase", "Statistics"]
 
     [deps.IntervalSets.extensions]
+    IntervalSetsRandomExt = "Random"
+    IntervalSetsRecipesBaseExt = "RecipesBase"
     IntervalSetsStatisticsExt = "Statistics"
 
 [[deps.InvertedIndices]]
@@ -874,10 +879,10 @@ uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c"
 version = "0.1.7"
 
 [[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.JSExpr]]
 deps = ["JSON", "MacroTools", "Observables", "WebIO"]
@@ -902,7 +907,7 @@ version = "1.14.0"
 
     [deps.JSON3.weakdeps]
     ArrowTypes = "31f734f8-188a-4ce0-8406-c8a06bd891cd"
-    
+
 [[deps.JpegTurbo]]
 deps = ["CEnum", "FileIO", "ImageCore", "JpegTurbo_jll", "TOML"]
 git-tree-sha1 = "fa6d0bcff8583bac20f1ffa708c3913ca605c611"
@@ -911,9 +916,9 @@ version = "0.1.5"
 
 [[deps.JpegTurbo_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "60b1194df0a3298f460063de985eae7b01bc011a"
+git-tree-sha1 = "3336abae9a713d2210bb57ab484b1e065edd7d23"
 uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
-version = "3.0.1+0"
+version = "3.0.2+0"
 
 [[deps.Kaleido_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -940,16 +945,22 @@ uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
 version = "3.0.0+1"
 
 [[deps.LLVM]]
-deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Printf", "Unicode"]
-git-tree-sha1 = "4ea2928a96acfcf8589e6cd1429eff2a3a82c366"
+deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Preferences", "Printf", "Requires", "Unicode"]
+git-tree-sha1 = "ab01dde107f21aa76144d0771dccc08f152ccac7"
 uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
-version = "6.3.0"
+version = "6.6.2"
+
+    [deps.LLVM.extensions]
+    BFloat16sExt = "BFloat16s"
+
+    [deps.LLVM.weakdeps]
+    BFloat16s = "ab4f0b2a-ad5b-11e8-123f-65d77653426b"
 
 [[deps.LLVMExtra_jll]]
 deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl", "TOML"]
-git-tree-sha1 = "e7c01b69bcbcb93fd4cbc3d0fea7d229541e18d2"
+git-tree-sha1 = "88b916503aac4fb7f701bb625cd84ca5dd1677bc"
 uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab"
-version = "0.0.26+0"
+version = "0.0.29+0"
 
 [[deps.LLVMOpenMP_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -970,9 +981,9 @@ version = "1.3.1"
 
 [[deps.LabelledArrays]]
 deps = ["ArrayInterface", "ChainRulesCore", "ForwardDiff", "LinearAlgebra", "MacroTools", "PreallocationTools", "RecursiveArrayTools", "StaticArrays"]
-git-tree-sha1 = "cd04158424635efd05ff38d5f55843397b7416a9"
+git-tree-sha1 = "d1f981fba6eb3ec393eede4821bca3f2b7592cd4"
 uuid = "2ee39098-c373-598a-b85f-a56591580800"
-version = "1.14.0"
+version = "1.15.1"
 
 [[deps.LambertW]]
 git-tree-sha1 = "c5ffc834de5d61d00d2b0e18c96267cffc21f648"
@@ -980,10 +991,10 @@ uuid = "984bce1d-4616-540c-a9ee-88d1112d94c9"
 version = "0.4.6"
 
 [[deps.Latexify]]
-deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Printf", "Requires"]
-git-tree-sha1 = "f428ae552340899a935973270b8d98e5a31c49fe"
+deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
+git-tree-sha1 = "cad560042a7cc108f5a4c24ea1431a9221f22c1b"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
-version = "0.16.1"
+version = "0.16.2"
 
     [deps.Latexify.extensions]
     DataFramesExt = "DataFrames"
@@ -1011,26 +1022,21 @@ version = "0.3.1"
 [[deps.LibCURL]]
 deps = ["LibCURL_jll", "MozillaCACerts_jll"]
 uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
-version = "0.6.4"
+version = "0.6.3"
 
 [[deps.LibCURL_jll]]
 deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
 uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
-version = "8.4.0+0"
+version = "7.84.0+0"
 
 [[deps.LibGit2]]
-deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"]
+deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
 uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
 
-[[deps.LibGit2_jll]]
-deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"]
-uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5"
-version = "1.6.4+0"
-
 [[deps.LibSSH2_jll]]
 deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
 uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
-version = "1.11.0+1"
+version = "1.10.2+0"
 
 [[deps.Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
@@ -1066,10 +1072,10 @@ uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
 version = "1.17.0+0"
 
 [[deps.Libmount_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "dae976433497a2f841baadea93d27e68f1a12a97"
 uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
-version = "2.35.0+0"
+version = "2.39.3+0"
 
 [[deps.Libtiff_jll]]
 deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "XZ_jll", "Zlib_jll", "Zstd_jll"]
@@ -1078,10 +1084,10 @@ uuid = "89763e89-9b03-5906-acba-b20f662cd828"
 version = "4.5.1+1"
 
 [[deps.Libuuid_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "0a04a1318df1bf510beb2562cf90fb0c386f58c4"
 uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
-version = "2.36.0+0"
+version = "2.39.3+1"
 
 [[deps.LightXML]]
 deps = ["Libdl", "XML2_jll"]
@@ -1107,9 +1113,9 @@ version = "0.2.7"
 
 [[deps.LogExpFunctions]]
 deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
-git-tree-sha1 = "c3ce8e7420b3a6e071e0fe4745f5d4300e37b13f"
+git-tree-sha1 = "18144f3e9cbe9b15b070288eef858f71b291ce37"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-version = "0.3.24"
+version = "0.3.27"
 
     [deps.LogExpFunctions.extensions]
     LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
@@ -1126,9 +1132,9 @@ uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
 [[deps.LoggingExtras]]
 deps = ["Dates", "Logging"]
-git-tree-sha1 = "cedb76b37bc5a6c702ade66be44f831fa23c681e"
+git-tree-sha1 = "c1dd6d7978c12545b4179fb6153b9250c96b0075"
 uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
-version = "1.0.0"
+version = "1.0.3"
 
 [[deps.MKL_jll]]
 deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl"]
@@ -1138,15 +1144,15 @@ version = "2024.0.0+0"
 
 [[deps.MacroTools]]
 deps = ["Markdown", "Random"]
-git-tree-sha1 = "42324d08725e200c23d4dfb549e0d5d89dede2d2"
+git-tree-sha1 = "2fa9ee3e63fd3a4f7a9a4f4744a52f4856de82df"
 uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
-version = "0.5.10"
+version = "0.5.13"
 
 [[deps.Makie]]
-deps = ["Animations", "Base64", "CRC32c", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "DelaunayTriangulation", "Distributions", "DocStringExtensions", "Downloads", "FFMPEG_jll", "FileIO", "FilePaths", "FixedPointNumbers", "Formatting", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "InteractiveUtils", "IntervalArithmetic", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MacroTools", "MakieCore", "Markdown", "MathTeXEngine", "Observables", "OffsetArrays", "Packing", "PlotUtils", "PolygonOps", "PrecompileTools", "Printf", "REPL", "Random", "RelocatableFolders", "Scratch", "ShaderAbstractions", "Showoff", "SignedDistanceFields", "SparseArrays", "StableHashTraits", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "TriplotBase", "UnicodeFun"]
-git-tree-sha1 = "40c5dfbb99c91835171536cd571fe6f1ba18ff97"
+deps = ["Animations", "Base64", "CRC32c", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "DelaunayTriangulation", "Distributions", "DocStringExtensions", "Downloads", "FFMPEG_jll", "FileIO", "FilePaths", "FixedPointNumbers", "Format", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "InteractiveUtils", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MacroTools", "MakieCore", "Markdown", "MathTeXEngine", "Observables", "OffsetArrays", "Packing", "PlotUtils", "PolygonOps", "PrecompileTools", "Printf", "REPL", "Random", "RelocatableFolders", "Scratch", "ShaderAbstractions", "Showoff", "SignedDistanceFields", "SparseArrays", "StableHashTraits", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "TriplotBase", "UnicodeFun"]
+git-tree-sha1 = "27af6be179c711fb916a597b6644fbb5b80becc0"
 uuid = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
-version = "0.20.7"
+version = "0.20.8"
 
 [[deps.MakieCore]]
 deps = ["Observables", "REPL"]
@@ -1165,9 +1171,9 @@ uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
 [[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 = "d268e82322cc5df142a3664d03d59adecd53abf9"
 uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
-version = "1.18.0"
+version = "1.27.1"
 
 [[deps.MathTeXEngine]]
 deps = ["AbstractTrees", "Automa", "DataStructures", "FreeTypeAbstraction", "GeometryBasics", "LaTeXStrings", "REPL", "RelocatableFolders", "UnicodeFun"]
@@ -1176,15 +1182,15 @@ uuid = "0a4f8689-d25c-4efe-a92b-7142dfc1aa53"
 version = "0.5.7"
 
 [[deps.MbedTLS]]
-deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"]
-git-tree-sha1 = "03a9b9718f5682ecb107ac9f7308991db4ce395b"
+deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "NetworkOptions", "Random", "Sockets"]
+git-tree-sha1 = "c067a280ddc25f196b5e7df3877c6b226d390aaf"
 uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
-version = "1.1.7"
+version = "1.1.9"
 
 [[deps.MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
-version = "2.28.2+1"
+version = "2.28.2+0"
 
 [[deps.Measures]]
 git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102"
@@ -1225,12 +1231,7 @@ version = "0.3.4"
 
 [[deps.MozillaCACerts_jll]]
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
-version = "2023.1.10"
-
-[[deps.Multisets]]
-git-tree-sha1 = "8d852646862c96e226367ad10c8af56099b4047e"
-uuid = "3b2b4ff1-bcff-5658-a3ee-dbcf1ce5ac09"
-version = "0.4.4"
+version = "2022.10.11"
 
 [[deps.Multisets]]
 git-tree-sha1 = "8d852646862c96e226367ad10c8af56099b4047e"
@@ -1239,9 +1240,9 @@ version = "0.4.4"
 
 [[deps.MultivariatePolynomials]]
 deps = ["ChainRulesCore", "DataStructures", "LinearAlgebra", "MutableArithmetics"]
-git-tree-sha1 = "f9978f23952b52b8d958b72f8b5368f84254dc02"
+git-tree-sha1 = "769c9175942d91ed9b83fa929eee4fe6a1d128ad"
 uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3"
-version = "0.5.1"
+version = "0.5.4"
 
 [[deps.Mustache]]
 deps = ["Printf", "Tables"]
@@ -1251,9 +1252,9 @@ version = "1.0.19"
 
 [[deps.MutableArithmetics]]
 deps = ["LinearAlgebra", "SparseArrays", "Test"]
-git-tree-sha1 = "964cb1a7069723727025ae295408747a0b36a854"
+git-tree-sha1 = "2d106538aebe1c165e16d277914e10c550e9d9b7"
 uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
-version = "1.3.0"
+version = "1.4.2"
 
 [[deps.Mux]]
 deps = ["AssetRegistry", "Base64", "HTTP", "Hiccup", "MbedTLS", "Pkg", "Sockets"]
@@ -1306,19 +1307,7 @@ version = "1.3.5+1"
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
-version = "0.3.23+2"
-
-[[deps.OpenEXR]]
-deps = ["Colors", "FileIO", "OpenEXR_jll"]
-git-tree-sha1 = "327f53360fdb54df7ecd01e96ef1983536d1e633"
-uuid = "52e1d378-f018-4a11-a4be-720524705ac7"
-version = "0.3.2"
-
-[[deps.OpenEXR_jll]]
-deps = ["Artifacts", "Imath_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
-git-tree-sha1 = "a4ca623df1ae99d09bc9868b008262d0c0ac1e4f"
-uuid = "18a262bb-aa17-5467-a713-aee519bc75cb"
-version = "3.1.4+0"
+version = "0.3.21+4"
 
 [[deps.OpenEXR]]
 deps = ["Colors", "FileIO", "OpenEXR_jll"]
@@ -1335,19 +1324,19 @@ version = "3.1.4+0"
 [[deps.OpenLibm_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
-version = "0.8.1+2"
+version = "0.8.1+0"
 
 [[deps.OpenSSL]]
 deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
-git-tree-sha1 = "51901a49222b09e3743c65b8847687ae5fc78eb2"
+git-tree-sha1 = "af81a32750ebc831ee28bdaaba6e1067decef51e"
 uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c"
-version = "1.4.1"
+version = "1.4.2"
 
 [[deps.OpenSSL_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "cae3153c7f6cf3f069a853883fd1919a6e5bab5b"
+git-tree-sha1 = "3da7367955dcc5c54c1ba4d402ccdc09a1a3e046"
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
-version = "3.0.9+0"
+version = "3.0.13+1"
 
 [[deps.OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
@@ -1356,10 +1345,14 @@ uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
 version = "0.5.5+0"
 
 [[deps.Optim]]
-deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "MathOptInterface", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
-git-tree-sha1 = "d024bfb56144d947d4fafcd9cb5cafbe3410b133"
+deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "PackageExtensionCompat", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
+git-tree-sha1 = "d1223e69af90b6d26cea5b6f3b289b3148ba702c"
 uuid = "429524aa-4258-5aef-a3af-852621145aeb"
-version = "1.9.2"
+version = "1.9.3"
+weakdeps = ["MathOptInterface"]
+
+    [deps.Optim.extensions]
+    OptimMOIExt = "MathOptInterface"
 
 [[deps.Opus_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -1368,26 +1361,26 @@ uuid = "91d4177d-7536-5919-b921-800302f37372"
 version = "1.3.2+0"
 
 [[deps.OrderedCollections]]
-git-tree-sha1 = "2e73fe17cac3c62ad1aebe70d44c963c3cfdc3e3"
+git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
-version = "1.6.2"
+version = "1.6.3"
 
 [[deps.PATHSolver]]
-deps = ["DataDeps", "Libdl", "MathOptInterface", "SparseArrays", "Test"]
-git-tree-sha1 = "4d77a810bfb45a563b78a6291f345f14b37042b4"
+deps = ["DataDeps", "MathOptInterface", "SparseArrays"]
+git-tree-sha1 = "f2c82f978c2d7312e58f5b8ad28800310ba801ad"
 uuid = "f5f7c340-0bb3-5c69-969a-41884d311d1b"
-version = "1.5.0"
+version = "1.7.4"
 
 [[deps.PCRE2_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
-version = "10.42.0+1"
+version = "10.42.0+0"
 
 [[deps.PDMats]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "67eae2738d63117a196f497d7db789821bce61d1"
+git-tree-sha1 = "949347156c25054de2db3b166c52ac4728cbad65"
 uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
-version = "0.11.17"
+version = "0.11.31"
 
 [[deps.PNGFiles]]
 deps = ["Base64", "CEnum", "ImageCore", "IndirectArrays", "OffsetArrays", "libpng_jll"]
@@ -1395,6 +1388,12 @@ git-tree-sha1 = "67186a2bc9a90f9f85ff3cc8277868961fb57cbd"
 uuid = "f57f5aa1-a3ce-4bc8-8ab9-96f992907883"
 version = "0.4.3"
 
+[[deps.PackageExtensionCompat]]
+git-tree-sha1 = "fb28e33b8a95c4cee25ce296c817d89cc2e53518"
+uuid = "65ce6f38-6b18-4e1d-a461-8949797d7930"
+version = "1.0.2"
+weakdeps = ["Requires", "TOML"]
+
 [[deps.Packing]]
 deps = ["GeometryBasics"]
 git-tree-sha1 = "ec3edfe723df33528e085e632414499f26650501"
@@ -1415,15 +1414,15 @@ version = "0.12.3"
 
 [[deps.ParametricMCPs]]
 deps = ["ChainRulesCore", "ForwardDiff", "LinearAlgebra", "PATHSolver", "SparseArrays", "Symbolics"]
-git-tree-sha1 = "76b559620c510a263299fe6e38b3c73030745dda"
+git-tree-sha1 = "653487ea3bb117323516b3f6668ac2f16fcbba63"
 uuid = "9b992ff8-05bb-4ea1-b9d2-5ef72d82f7ad"
-version = "0.1.6"
+version = "0.1.10"
 
 [[deps.Parsers]]
 deps = ["Dates", "PrecompileTools", "UUIDs"]
-git-tree-sha1 = "716e24b21538abc91f6205fd1d8363f39b442851"
+git-tree-sha1 = "8489905bcdbcfac64d1daa51ca07c0d8f0283821"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.7.2"
+version = "2.8.1"
 
 [[deps.Permutations]]
 deps = ["Combinatorics", "LinearAlgebra", "Random"]
@@ -1457,13 +1456,7 @@ version = "0.42.2+0"
 [[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 = "1.10.0"
-
-[[deps.PkgVersion]]
-deps = ["Pkg"]
-git-tree-sha1 = "f9501cc0430a26bc3d156ae1b5b0c1b47af4d6da"
-uuid = "eebad327-c553-4316-9ea0-9fa01ccd7688"
-version = "0.3.3"
+version = "1.9.2"
 
 [[deps.PkgVersion]]
 deps = ["Pkg"]
@@ -1479,9 +1472,9 @@ version = "3.1.0"
 
 [[deps.PlotUtils]]
 deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"]
-git-tree-sha1 = "862942baf5663da528f66d24996eb6da85218e76"
+git-tree-sha1 = "7b1a9df27f072ac4c9c7cbe5efb198489258d1f5"
 uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
-version = "1.4.0"
+version = "1.4.1"
 
 [[deps.PlotlyBase]]
 deps = ["ColorSchemes", "Dates", "DelimitedFiles", "DocStringExtensions", "JSON", "LaTeXStrings", "Logging", "Parameters", "Pkg", "REPL", "Requires", "Statistics", "UUIDs"]
@@ -1490,16 +1483,29 @@ uuid = "a03496cd-edff-5a9b-9e67-9cda94a718b5"
 version = "0.8.19"
 
 [[deps.PlotlyJS]]
-deps = ["Base64", "Blink", "DelimitedFiles", "JSExpr", "JSON", "Kaleido_jll", "Markdown", "Pkg", "PlotlyBase", "REPL", "Reexport", "Requires", "WebIO"]
-git-tree-sha1 = "3db9e7724e299684bf0ca8f245c0265c4bdd8dc6"
+deps = ["Base64", "Blink", "DelimitedFiles", "JSExpr", "JSON", "Kaleido_jll", "Markdown", "Pkg", "PlotlyBase", "PlotlyKaleido", "REPL", "Reexport", "Requires", "WebIO"]
+git-tree-sha1 = "e62d886d33b81c371c9d4e2f70663c0637f19459"
 uuid = "f0f68f2c-4968-5e81-91da-67840de0976a"
-version = "0.18.11"
+version = "0.18.13"
+weakdeps = ["CSV", "DataFrames", "IJulia", "JSON3"]
+
+    [deps.PlotlyJS.extensions]
+    CSVExt = "CSV"
+    DataFramesExt = ["DataFrames", "CSV"]
+    IJuliaExt = "IJulia"
+    JSON3Ext = "JSON3"
+
+[[deps.PlotlyKaleido]]
+deps = ["Base64", "JSON", "Kaleido_jll"]
+git-tree-sha1 = "2650cd8fb83f73394996d507b3411a7316f6f184"
+uuid = "f2990250-8cf9-495f-b13a-cce12b45703c"
+version = "2.2.4"
 
 [[deps.Plots]]
-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", "UnitfulLatexify", "Unzip"]
-git-tree-sha1 = "ccee59c6e48e6f2edf8a5b64dc817b6729f99eb5"
+deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
+git-tree-sha1 = "3bdfa4fa528ef21287ef659a89d686e8a1bcb1a9"
 uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
-version = "1.39.0"
+version = "1.40.3"
 
     [deps.Plots.extensions]
     FileIOExt = "FileIO"
@@ -1547,9 +1553,9 @@ version = "0.2.4"
 
 [[deps.PreallocationTools]]
 deps = ["Adapt", "ArrayInterface", "ForwardDiff", "Requires"]
-git-tree-sha1 = "f739b1b3cc7b9949af3b35089931f2b58c289163"
+git-tree-sha1 = "01ac95fca7daabe77a9cb705862bd87016af9ddb"
 uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
-version = "0.4.12"
+version = "0.4.13"
 
     [deps.PreallocationTools.extensions]
     PreallocationToolsReverseDiffExt = "ReverseDiff"
@@ -1559,15 +1565,15 @@ version = "0.4.12"
 
 [[deps.PrecompileTools]]
 deps = ["Preferences"]
-git-tree-sha1 = "9673d39decc5feece56ef3940e5dafba15ba0f81"
+git-tree-sha1 = "5aa36f7049a63a1528fe8f7c3f2113413ffd4e1f"
 uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
-version = "1.1.2"
+version = "1.2.1"
 
 [[deps.Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "7eb1686b4f04b82f96ed7a4ea5890a4f0c7a09f1"
+git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.4.0"
+version = "1.4.3"
 
 [[deps.PrettyTables]]
 deps = ["Crayons", "LaTeXStrings", "Markdown", "PrecompileTools", "Printf", "Reexport", "StringManipulation", "Tables"]
@@ -1577,9 +1583,9 @@ version = "2.3.1"
 
 [[deps.Primes]]
 deps = ["IntegerMathUtils"]
-git-tree-sha1 = "4c9f306e5d6603ae203c2000dd460d81a5251489"
+git-tree-sha1 = "cb420f77dc474d23ee47ca8d14c90810cafe69e7"
 uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae"
-version = "0.5.4"
+version = "0.5.6"
 
 [[deps.Printf]]
 deps = ["Unicode"]
@@ -1591,9 +1597,9 @@ uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
 
 [[deps.ProgressMeter]]
 deps = ["Distributed", "Printf"]
-git-tree-sha1 = "00099623ffee15972c16111bcf84c58a0051257c"
+git-tree-sha1 = "763a8ceb07833dd51bb9e3bbca372de32c0605ad"
 uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
-version = "1.9.0"
+version = "1.10.0"
 
 [[deps.PyCall]]
 deps = ["Conda", "Dates", "Libdl", "LinearAlgebra", "MacroTools", "Serialization", "VersionParsing"]
@@ -1621,23 +1627,23 @@ version = "6.5.3+1"
 
 [[deps.QuadGK]]
 deps = ["DataStructures", "LinearAlgebra"]
-git-tree-sha1 = "6ec7ac8412e83d57e313393220879ede1740f9ee"
+git-tree-sha1 = "9b23c31e76e333e6fb4c1595ae6afa74966a729e"
 uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
-version = "2.8.2"
+version = "2.9.4"
 
 [[deps.REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
 uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
 
 [[deps.Random]]
-deps = ["SHA"]
+deps = ["SHA", "Serialization"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
 [[deps.RandomExtensions]]
 deps = ["Random", "SparseArrays"]
-git-tree-sha1 = "062986376ce6d394b23d5d90f01d81426113a3c9"
+git-tree-sha1 = "b8a399e95663485820000f26b6a43c794e166a49"
 uuid = "fb686558-2515-59ef-acaa-46db3789a887"
-version = "0.4.3"
+version = "0.4.4"
 
 [[deps.RangeArrays]]
 git-tree-sha1 = "b9039e93773ddcfc828f12aadf7115b4b4d225f5"
@@ -1673,18 +1679,22 @@ uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
 version = "0.6.12"
 
 [[deps.RecursiveArrayTools]]
-deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "Requires", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
-git-tree-sha1 = "7ed35fb5f831aaf09c2d7c8736d44667a1afdcb0"
+deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "Requires", "SparseArrays", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
+git-tree-sha1 = "27ee1c03e732c488ecce1a25f0d7da9b5d936574"
 uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
-version = "2.38.7"
+version = "3.3.3"
 
     [deps.RecursiveArrayTools.extensions]
+    RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
     RecursiveArrayToolsMeasurementsExt = "Measurements"
+    RecursiveArrayToolsMonteCarloMeasurementsExt = "MonteCarloMeasurements"
     RecursiveArrayToolsTrackerExt = "Tracker"
     RecursiveArrayToolsZygoteExt = "Zygote"
 
     [deps.RecursiveArrayTools.weakdeps]
+    FastBroadcast = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
     Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
+    MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
@@ -1730,9 +1740,9 @@ version = "0.2.1"
 
 [[deps.RuntimeGeneratedFunctions]]
 deps = ["ExprTools", "SHA", "Serialization"]
-git-tree-sha1 = "237edc1563bbf078629b4f8d194bd334e97907cf"
+git-tree-sha1 = "6aacc5eefe8415f47b3e34214c1d79d2674a0ba2"
 uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
-version = "0.5.11"
+version = "0.5.12"
 
 [[deps.SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
@@ -1740,21 +1750,38 @@ version = "0.7.0"
 
 [[deps.SIMD]]
 deps = ["PrecompileTools"]
-git-tree-sha1 = "0e270732477b9e551d884e6b07e23bb2ec947790"
+git-tree-sha1 = "d8911cc125da009051fb35322415641d02d9e37f"
 uuid = "fdea26ae-647d-5447-a871-4b548cad5224"
-version = "3.4.5"
+version = "3.4.6"
 
 [[deps.SciMLBase]]
-deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces"]
-git-tree-sha1 = "04370090604cd399db5bebddb636d80ab9d338e9"
+deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FillArrays", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces"]
+git-tree-sha1 = "09324a0ae70c52a45b91b236c62065f78b099c37"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "1.94.0"
+version = "2.15.2"
+
+    [deps.SciMLBase.extensions]
+    SciMLBaseChainRulesCoreExt = "ChainRulesCore"
+    SciMLBasePartialFunctionsExt = "PartialFunctions"
+    SciMLBasePyCallExt = "PyCall"
+    SciMLBasePythonCallExt = "PythonCall"
+    SciMLBaseRCallExt = "RCall"
+    SciMLBaseZygoteExt = "Zygote"
+
+    [deps.SciMLBase.weakdeps]
+    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    PartialFunctions = "570af359-4316-4cb7-8c74-252c00c2016b"
+    PyCall = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
+    PythonCall = "6099a3de-0909-46bc-b1f4-468b9a2dfc0d"
+    RCall = "6f49c342-dc21-5d91-9882-a32aef131414"
+    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.SciMLOperators]]
 deps = ["ArrayInterface", "DocStringExtensions", "Lazy", "LinearAlgebra", "Setfield", "SparseArrays", "StaticArraysCore", "Tricks"]
-git-tree-sha1 = "65c2e6ced6f62ea796af251eb292a0e131a3613b"
+git-tree-sha1 = "51ae235ff058a64815e0a2c34b1db7578a06813d"
 uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
-version = "0.3.6"
+version = "0.3.7"
 
 [[deps.Scratch]]
 deps = ["Dates"]
@@ -1771,11 +1798,6 @@ version = "1.4.1"
 [[deps.Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 
-[[deps.SetRounding]]
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-uuid = "3cc68bcd-71a2-5612-b932-767ffbe40ab0"
-version = "0.2.1"
-
 [[deps.Setfield]]
 deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
 git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac"
@@ -1845,12 +1867,6 @@ git-tree-sha1 = "2da10356e31327c7096832eb9cd86307a50b1eb6"
 uuid = "45858cf5-a6b0-47a3-bbea-62219f50df47"
 version = "0.1.3"
 
-[[deps.SnoopPrecompile]]
-deps = ["Preferences"]
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-uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c"
-version = "1.0.3"
-
 [[deps.Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
@@ -1862,26 +1878,25 @@ version = "1.1.0"
 
 [[deps.SortingAlgorithms]]
 deps = ["DataStructures"]
-git-tree-sha1 = "c60ec5c62180f27efea3ba2908480f8055e17cee"
+git-tree-sha1 = "66e0a8e672a0bdfca2c3f5937efb8538b9ddc085"
 uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
-version = "1.1.1"
+version = "1.2.1"
 
 [[deps.SparseArrays]]
 deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
-version = "1.10.0"
 
 [[deps.SparseInverseSubset]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "91402087fd5d13b2d97e3ef29bbdf9d7859e678a"
+git-tree-sha1 = "52962839426b75b3021296f7df242e40ecfc0852"
 uuid = "dc90abb0-5640-4711-901d-7e5b23a2fada"
-version = "0.1.1"
+version = "0.1.2"
 
 [[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]
@@ -1900,13 +1915,14 @@ uuid = "cae243ae-269e-4f55-b966-ac2d0dc13c15"
 version = "0.1.1"
 
 [[deps.StaticArrays]]
-deps = ["LinearAlgebra", "Random", "StaticArraysCore"]
-git-tree-sha1 = "9cabadf6e7cd2349b6cf49f1915ad2028d65e881"
+deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
+git-tree-sha1 = "bf074c045d3d5ffd956fa0a461da38a44685d6b2"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.6.2"
-weakdeps = ["Statistics"]
+version = "1.9.3"
+weakdeps = ["ChainRulesCore", "Statistics"]
 
     [deps.StaticArrays.extensions]
+    StaticArraysChainRulesCoreExt = "ChainRulesCore"
     StaticArraysStatisticsExt = "Statistics"
 
 [[deps.StaticArraysCore]]
@@ -1917,25 +1933,25 @@ version = "1.4.2"
 [[deps.Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
-version = "1.10.0"
+version = "1.9.0"
 
 [[deps.StatsAPI]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "45a7769a04a3cf80da1c1c7c60caf932e6f4c9f7"
+git-tree-sha1 = "1ff449ad350c9c4cbc756624d6f8a8c3ef56d3ed"
 uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
-version = "1.6.0"
+version = "1.7.0"
 
 [[deps.StatsBase]]
 deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
-git-tree-sha1 = "75ebe04c5bed70b91614d684259b661c9e6274a4"
+git-tree-sha1 = "1d77abd07f617c4868c33d4f5b9e1dbb2643c9cf"
 uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
-version = "0.34.0"
+version = "0.34.2"
 
 [[deps.StatsFuns]]
 deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
-git-tree-sha1 = "f625d686d5a88bcd2b15cd81f18f98186fdc0c9a"
+git-tree-sha1 = "cef0472124fab0695b58ca35a77c6fb942fdab8a"
 uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
-version = "1.3.0"
+version = "1.3.1"
 
     [deps.StatsFuns.extensions]
     StatsFunsChainRulesCoreExt = "ChainRulesCore"
@@ -1952,10 +1968,17 @@ uuid = "892a3eda-7b42-436c-8928-eab12a02cf0e"
 version = "0.3.4"
 
 [[deps.StructArrays]]
-deps = ["Adapt", "ConstructionBase", "DataAPI", "GPUArraysCore", "StaticArraysCore", "Tables"]
-git-tree-sha1 = "0a3db38e4cce3c54fe7a71f831cd7b6194a54213"
+deps = ["ConstructionBase", "DataAPI", "Tables"]
+git-tree-sha1 = "f4dc295e983502292c4c3f951dbb4e985e35b3be"
 uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
-version = "0.6.16"
+version = "0.6.18"
+weakdeps = ["Adapt", "GPUArraysCore", "SparseArrays", "StaticArrays"]
+
+    [deps.StructArrays.extensions]
+    StructArraysAdaptExt = "Adapt"
+    StructArraysGPUArraysCoreExt = "GPUArraysCore"
+    StructArraysSparseArraysExt = "SparseArrays"
+    StructArraysStaticArraysExt = "StaticArrays"
 
 [[deps.StructTypes]]
 deps = ["Dates", "UUIDs"]
@@ -1968,33 +1991,32 @@ deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
 uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
 
 [[deps.SuiteSparse_jll]]
-deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
+deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"]
 uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
-version = "7.2.1+1"
+version = "5.10.1+6"
 
 [[deps.Suppressor]]
 deps = ["Logging"]
-git-tree-sha1 = "6cd9e4a207964c07bf6395beff7a1e8f21d0f3b2"
+git-tree-sha1 = "9143c41bd539a8885c79728b9dedb0ce47dc9819"
 uuid = "fd094767-a336-5f1f-9728-57cf17d0bbfb"
-version = "0.2.6"
+version = "0.2.7"
 
 [[deps.SymbolicIndexingInterface]]
-deps = ["DocStringExtensions"]
-git-tree-sha1 = "f8ab052bfcbdb9b48fad2c80c873aa0d0344dfe5"
+git-tree-sha1 = "be414bfd80c2c91197823890c66ef4b74f5bf5fe"
 uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
-version = "0.2.2"
+version = "0.3.1"
 
 [[deps.SymbolicUtils]]
-deps = ["AbstractTrees", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "TimerOutputs", "Unityper"]
-git-tree-sha1 = "9704a1d0ecbbf5d65700418dcf1bb4c680c790bb"
+deps = ["AbstractTrees", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TimerOutputs", "Unityper"]
+git-tree-sha1 = "669e43e90df46fcee4aa859b587da7a7948272ac"
 uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
-version = "1.2.0"
+version = "1.5.1"
 
 [[deps.Symbolics]]
-deps = ["ArrayInterface", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "Groebner", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "MacroTools", "Markdown", "NaNMath", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicUtils", "TreeViews"]
-git-tree-sha1 = "f1d43a0dbb553890195e49fb599ea51d0e97a5ef"
+deps = ["ArrayInterface", "Bijections", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "Groebner", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicUtils"]
+git-tree-sha1 = "8d28ebc206dec9e250e21b9502a2662265897650"
 uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
-version = "5.5.1"
+version = "5.14.1"
 
     [deps.Symbolics.extensions]
     SymbolicsSymPyExt = "SymPy"
@@ -2014,10 +2036,10 @@ uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
 version = "1.0.1"
 
 [[deps.Tables]]
-deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"]
-git-tree-sha1 = "1544b926975372da01227b382066ab70e574a3ec"
+deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits"]
+git-tree-sha1 = "cb76cf677714c095e535e3501ac7954732aeea2d"
 uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
-version = "1.10.1"
+version = "1.11.1"
 
 [[deps.Tar]]
 deps = ["ArgTools", "SHA"]
@@ -2047,21 +2069,18 @@ uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
 version = "0.5.23"
 
 [[deps.TranscodingStreams]]
-deps = ["Random", "Test"]
-git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769"
+git-tree-sha1 = "71509f04d045ec714c4748c785a59045c3736349"
 uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
-version = "0.9.13"
+version = "0.10.7"
+weakdeps = ["Random", "Test"]
 
-[[deps.TreeViews]]
-deps = ["Test"]
-git-tree-sha1 = "8d0d7a3fe2f30d6a7f833a5f19f7c7a5b396eae6"
-uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
-version = "0.3.0"
+    [deps.TranscodingStreams.extensions]
+    TestExt = ["Test", "Random"]
 
 [[deps.Tricks]]
-git-tree-sha1 = "aadb748be58b492045b4f56166b5188aa63ce549"
+git-tree-sha1 = "eae1bb484cd63b36999ee58be2de6c178105112f"
 uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
-version = "0.1.7"
+version = "0.1.8"
 
 [[deps.TriplotBase]]
 git-tree-sha1 = "4d4ed7f294cda19382ff7de4c137d24d16adc89b"
@@ -2080,9 +2099,9 @@ uuid = "9d95972d-f1c8-5527-a6e0-b4b365fa01f6"
 version = "1.5.0"
 
 [[deps.URIs]]
-git-tree-sha1 = "074f993b0ca030848b897beff716d93aca60f06a"
+git-tree-sha1 = "67db6cc7b3821e19ebe75791a9dd19c9b1188f2b"
 uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
-version = "1.4.2"
+version = "1.5.1"
 
 [[deps.UUIDs]]
 deps = ["Random", "SHA"]
@@ -2124,9 +2143,9 @@ version = "1.6.3"
 
 [[deps.Unityper]]
 deps = ["ConstructionBase"]
-git-tree-sha1 = "21c8fc7cd598ef49f11bc9e94871f5d7740e34b9"
+git-tree-sha1 = "25008b734a03736c41e2a7dc314ecb95bd6bbdb0"
 uuid = "a7c27f48-0311-42f6-a7f8-2c11e75eb415"
-version = "0.1.5"
+version = "0.1.6"
 
 [[deps.Unzip]]
 git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78"
@@ -2199,9 +2218,9 @@ version = "1.6.1"
 
 [[deps.XML2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
-git-tree-sha1 = "801cbe47eae69adc50f36c3caec4758d2650741b"
+git-tree-sha1 = "532e22cf7be8462035d092ff21fada7527e2c488"
 uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
-version = "2.12.2+0"
+version = "2.12.6+0"
 
 [[deps.XSLT_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
@@ -2211,9 +2230,9 @@ version = "1.1.34+0"
 
 [[deps.XZ_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "522b8414d40c4cbbab8dee346ac3a09f9768f25d"
+git-tree-sha1 = "ac88fb95ae6447c8dda6a5503f3bafd496ae8632"
 uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
-version = "5.4.5+0"
+version = "5.4.6+0"
 
 [[deps.Xorg_libICE_jll]]
 deps = ["Libdl", "Pkg"]
@@ -2366,27 +2385,27 @@ uuid = "c2297ded-f4af-51ae-bb23-16f91089e4e1"
 version = "1.2.2"
 
 [[deps.ZeroMQ_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "libsodium_jll"]
-git-tree-sha1 = "fe5c65a526f066fb3000da137d5785d9649a8a47"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "libsodium_jll"]
+git-tree-sha1 = "42f97fb27394378591666ab0e9cee369e6d0e1f9"
 uuid = "8f1865be-045e-5c20-9c9f-bfbfb0764568"
-version = "4.3.4+0"
+version = "4.3.5+0"
 
 [[deps.Zlib_jll]]
 deps = ["Libdl"]
 uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
-version = "1.2.13+1"
+version = "1.2.13+0"
 
 [[deps.Zstd_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "49ce682769cd5de6c72dcf1b94ed7790cd08974c"
+git-tree-sha1 = "e678132f07ddb5bfa46857f0d7620fb9be675d3b"
 uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
-version = "1.5.5+0"
+version = "1.5.6+0"
 
 [[deps.Zygote]]
 deps = ["AbstractFFTs", "ChainRules", "ChainRulesCore", "DiffRules", "Distributed", "FillArrays", "ForwardDiff", "GPUArrays", "GPUArraysCore", "IRTools", "InteractiveUtils", "LinearAlgebra", "LogExpFunctions", "MacroTools", "NaNMath", "PrecompileTools", "Random", "Requires", "SparseArrays", "SpecialFunctions", "Statistics", "ZygoteRules"]
-git-tree-sha1 = "16848c23e7961e099a4152ba0d10db887f412ee9"
+git-tree-sha1 = "4ddb4470e47b0094c93055a3bcae799165cc68f1"
 uuid = "e88e6eb3-aa80-5325-afca-941959d7151f"
-version = "0.6.65"
+version = "0.6.69"
 
     [deps.Zygote.extensions]
     ZygoteColorsExt = "Colors"
@@ -2400,9 +2419,9 @@ version = "0.6.65"
 
 [[deps.ZygoteRules]]
 deps = ["ChainRulesCore", "MacroTools"]
-git-tree-sha1 = "977aed5d006b840e2e40c0b48984f7463109046d"
+git-tree-sha1 = "27798139afc0a2afa7b1824c206d5e87ea587a00"
 uuid = "700de1a5-db45-46bc-99cf-38207098b444"
-version = "0.2.3"
+version = "0.2.5"
 
 [[deps.eudev_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "gperf_jll"]
@@ -2443,7 +2462,7 @@ version = "0.15.1+0"
 [[deps.libblastrampoline_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
-version = "5.8.0+1"
+version = "5.8.0+0"
 
 [[deps.libevdev_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -2465,9 +2484,9 @@ version = "1.18.0+0"
 
 [[deps.libpng_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
-git-tree-sha1 = "93284c28274d9e75218a416c65ec49d0e0fcdf3d"
+git-tree-sha1 = "d7015d2e18a5fd9a4f47de711837e980519781a4"
 uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
-version = "1.6.40+0"
+version = "1.6.43+1"
 
 [[deps.libsixel_jll]]
 deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "libpng_jll"]
@@ -2496,12 +2515,12 @@ version = "1.1.6+0"
 [[deps.nghttp2_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
-version = "1.52.0+1"
+version = "1.48.0+0"
 
 [[deps.p7zip_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
-version = "17.4.0+2"
+version = "17.4.0+0"
 
 [[deps.x264_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
diff --git a/README.md b/README.md
index 9811088..d3b1772 100644
--- a/README.md
+++ b/README.md
@@ -2,12 +2,60 @@
 
 [![GamesVoI](https://github.com/CLeARoboticsLab/GamesVoI.jl/actions/workflows/ci.yml/badge.svg)](https://github.com/CLeARoboticsLab/GamesVoI.jl/actions/workflows/ci.yml)
 
-## Overview
-A Julia package for computing the value of information in Bayesian games.
+A Julia package for computing the value of information in Bayesian games. Read the full paper [here](https://arxive.org)
+
+## Paper Abstract 
+
+We present a mathematical framework for modeling
+two-player noncooperative games in which one player (the
+defender) is uncertain of the costs of the game and the second
+player’s (the attacker’s) intention, but can preemptively allocate
+information-gathering resources to reduce this uncertainty. We
+obtain the defender’s decisions by solving a two-stage problem. In
+Stage 1, the defender allocates information-gathering resources,
+and in Stage 2, the information-gathering resources output a
+signal that informs the defender about the costs of the game and
+the attacker’s intent, and then both players play a noncooperative
+game. We provide a gradient-based algorithm to solve the two-
+stage game and apply this framework to a tower-defense game
+which can be interpreted as a variant of a Colonel Blotto game
+with smooth payoff functions and uncertainty over battlefield
+valuations. Finally, we analyze how optimal decisions shift with
+changes in information-gathering allocations and perturbations
+
+Read the full paper [here](https://arxiv.org/abs/2311.09439).
 
 ## Quickstart Guide
 
-**Installation**
+## Replicating paper visuals
+If you would like to replicate the visualizations shown in the paper, run the following commands. 
+Going through the source code for the visualizations is also a good way of understanding how the code is structured. 
+
+First, instantiate the package and load the experiment scripts
+```julia
+julia> ] instantiate
+julia> include("experiments/tower_defense.jl")
+```
+
+### Attacker/defense policies (Fig. 4, 5)
+
+```julia
+julia> run_stage_1_breakout(display_controls = 1) # 1 for defender, 2 for attacker
+```
+
+### Stage 1 cost landscape (Fig. 2)
+
+```julia
+julia> visualize_stage_1_cost()
+```
+
+### Stage 1 cost terms (Fig. 3)
+
+```julia
+julia> run_stage_1_breakout(display_controls = 0)
+```
+
+### A note on the solver
 
 This package uses the proprietary PATH solver under the hood (via [PATHSolver.jl](https://github.com/chkwon/PATHSolver.jl)).
 Therefore, you will need a license key to solve larger problems.
@@ -15,10 +63,7 @@ However, by courtesy of Steven Dirkse, Michael Ferris, and Tudd Munson,
 [temporary licenses are available free of charge](https://pages.cs.wisc.edu/~ferris/path.html).
 Please consult the documentation of [PATHSolver.jl](https://github.com/chkwon/PATHSolver.jl) to learn about loading the license key.
 
-**Running Experiments**
-To run your own experiments, start Julia at the repository root as `julia --project`. Then, run the following code: 
 
-```julia
-julia> ] instantiate
-julia> include("experiments/my_experiment.jl")
-```
\ No newline at end of file
+## Contact 
+
+> Note: For any questions on how to use this code, do not hesitate to reach out to Fernando Palafox at [fernandopalafox@utexas.edu](mailto:fernandopalafox@utexa.edu) or open an issue.
\ No newline at end of file
diff --git a/experiments/tower_defense.jl b/experiments/tower_defense.jl
index 9f907e1..fe96e9b 100644
--- a/experiments/tower_defense.jl
+++ b/experiments/tower_defense.jl
@@ -17,8 +17,9 @@ using GLMakie:
     DataAspect,
     rotr90,
     hidedecorations!,
-    hidezdecorations!
-record, empty!, resize_to_layout!
+    hidezdecorations!,
+    empty!,
+    resize_to_layout!
 using FileIO
 using LaTeXStrings
 
@@ -568,17 +569,12 @@ end
 """
 Visualization. Calculate and plot Stage 1 cost as a function of r for a given prior distribution and attacker preference.
 """
-function run_visualization()
+function visualize_stage_1_cost()
     dr = 0.05
     ps = [1 / 3, 1 / 3, 1 / 3]
     βs = [[3.0, 2.0, 2.0], [2.0, 3.0, 2.0], [2.0, 2.0, 3.0]]
     Ks = calculate_stage_1_costs(ps, βs; dr)
     fig = display_surface(ps, Ks)
-    if save_name !== ""
-        filename = "figures/"*save_name*"stage_1_cost.png"
-        # filename = "figures/"*save*"stage_1_controls.png"
-        save(filename, fig)
-    end
     fig
 end
 
@@ -667,12 +663,12 @@ function run_stage_1_breakout(;
         world_3_id_costs, world_3_id_controls =
             calculate_id_costs(ps, βs, 3; dr, return_controls = display_controls)
     else
-        world_1_misid_costs = calculate_misid_costs(ps, βs, 1; dr, initial_guess=initial_guess, cost_player=cost_player)
-        world_2_misid_costs = calculate_misid_costs(ps, βs, 2; dr, initial_guess=initial_guess, cost_player=cost_player)
-        world_3_misid_costs = calculate_misid_costs(ps, βs, 3; dr, initial_guess=initial_guess, cost_player=cost_player)
-        world_1_id_costs = calculate_id_costs(ps, βs, 1; dr, initial_guess=initial_guess, cost_player=cost_player)
-        world_2_id_costs = calculate_id_costs(ps, βs, 2; dr, initial_guess=initial_guess, cost_player=cost_player)
-        world_3_id_costs = calculate_id_costs(ps, βs, 3; dr, initial_guess=initial_guess, cost_player=cost_player)
+        world_1_misid_costs = calculate_misid_costs(ps, βs, 1; dr)
+        world_2_misid_costs = calculate_misid_costs(ps, βs, 2; dr)
+        world_3_misid_costs = calculate_misid_costs(ps, βs, 3; dr)
+        world_1_id_costs = calculate_id_costs(ps, βs, 1; dr)
+        world_2_id_costs = calculate_id_costs(ps, βs, 2; dr)
+        world_3_id_costs = calculate_id_costs(ps, βs, 3; dr)
     end
     # Normalize using maximum value across all worlds
     max_value = maximum(
@@ -813,7 +809,6 @@ function calculate_id_costs(ps, βs, world_idx; dr = 0.05, return_controls = 0)
             return_controls = 0
         end
     end
-    J = cost_player == 2 ? J_2 : J_1
 
     for (i, r1) in enumerate(rs)
         for (j, r2) in enumerate(rs)
@@ -827,7 +822,7 @@ function calculate_id_costs(ps, βs, world_idx; dr = 0.05, return_controls = 0)
             id_cost =
                 r[world_idx] *
                 ps[world_idx] *
-                J(
+                J_1(
                     x[Block(world_idx + 1)],
                     x[Block(world_idx + 2 * num_worlds + 1)],
                     βs[world_idx],
@@ -872,7 +867,6 @@ function calculate_misid_costs(ps, βs, world_idx; dr = 0.05, return_controls =
             return_controls = 0
         end
     end
-    J = cost_player == 2 ? J_2 : J_1
 
     for (i, r1) in enumerate(rs)
         for (j, r2) in enumerate(rs)
@@ -885,7 +879,7 @@ function calculate_misid_costs(ps, βs, world_idx; dr = 0.05, return_controls =
             x = compute_stage_2(IBRGameSolver(), r, ps, βs, [J_1, J_2])
             defender_signal_0 = x[Block(1)]
             attacker_signal_0_world_idx = x[Block(world_idx + num_worlds + 1)]
-            misid_cost = J(defender_signal_0, attacker_signal_0_world_idx, βs[world_idx])
+            misid_cost = J_1(defender_signal_0, attacker_signal_0_world_idx, βs[world_idx])
             misid_cost = (1 - r[world_idx]) * ps[world_idx] * misid_cost  # weight by p(w_k|s¹=0)
             misid_costs[i, j] = misid_cost
             if (return_controls > 0)
@@ -905,7 +899,6 @@ end
 """
 Get the decision landscape for one or both players from Stage 2
 """
-
 function get_stage2_landscape(ps, βs, r, world_idx; dx = 0.05, players = [1,2], initial_guess = nothing)
     @assert sum(ps) ≈ 1.0 "Prior distribution ps must be a probability distribution"
     @assert sum(r) ≈ 1.0 "Scout allocation r must be a probability distribution"
@@ -927,7 +920,6 @@ function get_stage2_landscape(ps, βs, r, world_idx; dx = 0.05, players = [1,2],
     xnash_P1 = xnash[Block(world_idx + 1)]
     xnash_P2 = xnash[Block(world_idx + 2 * num_worlds + 1)]
 
-    @infiltrate
     for (i, x1) in enumerate(xs)
         for (j, x2) in enumerate(xs)
             if x1 + x2 > 1
@@ -1044,7 +1036,7 @@ Input:
 Output: 
     fig: Figure with simplex heatmap
 """
-function display_stage_1_costs_controls(costs, controls, ps; save_file = "", cost_player=1)
+function display_stage_1_costs_controls(costs, controls, ps)
     rs = 0:(1 / (size(costs[1])[1] - 1)):1
     num_worlds = length(ps)
     fig = Figure(size = (600, 400), title = "test")
diff --git a/figures/stage_1_costs.png b/figures/stage_1_costs.png
index d46ea42..84e82e0 100644
Binary files a/figures/stage_1_costs.png and b/figures/stage_1_costs.png differ
diff --git a/figures/stage_1_surface.png b/figures/stage_1_surface.png
index 20ac976..6acd05d 100644
Binary files a/figures/stage_1_surface.png and b/figures/stage_1_surface.png differ
diff --git a/figures/stage_2_controls.png b/figures/stage_2_controls.png
new file mode 100644
index 0000000..ee0c263
Binary files /dev/null and b/figures/stage_2_controls.png differ