diff --git a/Manifest.toml b/Manifest.toml
index c94baf232..52917e768 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -2,12 +2,12 @@
 
 julia_version = "1.11.6"
 manifest_format = "2.0"
-project_hash = "3c5b0696513a84be8573e377b59e1ab532411868"
+project_hash = "296b7e06e398e8898b40f44ed92b4d60c484484c"
 
 [[deps.ADTypes]]
-git-tree-sha1 = "7927b9af540ee964cc5d1b73293f1eb0b761a3a1"
+git-tree-sha1 = "60665b326b75db6517939d0e1875850bc4a54368"
 uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
-version = "1.16.0"
+version = "1.17.0"
 weakdeps = ["ChainRulesCore", "ConstructionBase", "EnzymeCore"]
 
     [deps.ADTypes.extensions]
@@ -86,9 +86,9 @@ weakdeps = ["SparseArrays", "StaticArrays"]
 
 [[deps.AdvancedHMC]]
 deps = ["AbstractMCMC", "ArgCheck", "DocStringExtensions", "LinearAlgebra", "LogDensityProblems", "LogDensityProblemsAD", "ProgressMeter", "Random", "Setfield", "Statistics", "StatsBase", "StatsFuns"]
-git-tree-sha1 = "9f75990a04e3ee45d80b19778ba9d2bb7ad4d5ee"
+git-tree-sha1 = "22496647c061d00217759e95a18d601c959df0c9"
 uuid = "0bf59076-c3b1-5ca4-86bd-e02cd72cde3d"
-version = "0.8.0"
+version = "0.8.1"
 
     [deps.AdvancedHMC.extensions]
     AdvancedHMCADTypesExt = "ADTypes"
@@ -223,9 +223,9 @@ version = "1.11.0"
 
 [[deps.Atomix]]
 deps = ["UnsafeAtomics"]
-git-tree-sha1 = "b5bb4dc6248fde467be2a863eb8452993e74d402"
+git-tree-sha1 = "29bb0eb6f578a587a49da16564705968667f5fa8"
 uuid = "a9b6321e-bd34-4604-b9c9-b65b8de01458"
-version = "1.1.1"
+version = "1.1.2"
 
     [deps.Atomix.extensions]
     AtomixCUDAExt = "CUDA"
@@ -298,9 +298,9 @@ version = "0.1.1"
 
 [[deps.Bijectors]]
 deps = ["ArgCheck", "ChainRulesCore", "ChangesOfVariables", "Distributions", "DocStringExtensions", "Functors", "InverseFunctions", "IrrationalConstants", "LinearAlgebra", "LogExpFunctions", "MappedArrays", "Random", "Reexport", "Roots", "SparseArrays", "Statistics"]
-git-tree-sha1 = "5eb5a58ed34e012d7f8d665cb5198252e128e907"
+git-tree-sha1 = "35ba30573d4f83242f1e788c87ca792c83553c9e"
 uuid = "76274a88-744f-5084-9051-94815aaf08c4"
-version = "0.15.8"
+version = "0.15.9"
 weakdeps = ["ChainRules", "DistributionsAD", "EnzymeCore", "ForwardDiff", "LazyArrays", "Mooncake", "ReverseDiff", "Tracker"]
 
     [deps.Bijectors.extensions]
@@ -395,10 +395,10 @@ uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
 version = "0.5.0"
 
 [[deps.CPUSummary]]
-deps = ["CpuId", "IfElse", "PrecompileTools", "Static"]
-git-tree-sha1 = "5a97e67919535d6841172016c9530fd69494e5ec"
+deps = ["CpuId", "IfElse", "PrecompileTools", "Preferences", "Static"]
+git-tree-sha1 = "f3a21d7fc84ba618a779d1ed2fcca2e682865bab"
 uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
-version = "0.2.6"
+version = "0.2.7"
 
 [[deps.CSV]]
 deps = ["CodecZlib", "Dates", "FilePathsBase", "InlineStrings", "Mmap", "Parsers", "PooledArrays", "PrecompileTools", "SentinelArrays", "Tables", "Unicode", "WeakRefStrings", "WorkerUtilities"]
@@ -443,9 +443,9 @@ version = "1.72.5"
 
 [[deps.ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra"]
-git-tree-sha1 = "06ee8d1aa558d2833aa799f6f0b31b30cada405f"
+git-tree-sha1 = "e4c6a16e77171a5f5e25e9646617ab1c276c5607"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "1.25.2"
+version = "1.26.0"
 weakdeps = ["SparseArrays"]
 
     [deps.ChainRulesCore.extensions]
@@ -685,9 +685,9 @@ version = "0.1.2"
 
 [[deps.DelayDiffEq]]
 deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "FastBroadcast", "ForwardDiff", "LinearAlgebra", "Logging", "OrdinaryDiffEq", "OrdinaryDiffEqCore", "OrdinaryDiffEqDefault", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqFunctionMap", "OrdinaryDiffEqNonlinearSolve", "OrdinaryDiffEqRosenbrock", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SimpleUnPack", "SymbolicIndexingInterface"]
-git-tree-sha1 = "484cceb16c5ed95f4a2a405f3579f480ec0dff9a"
+git-tree-sha1 = "d9b1e66070ce15bc2b9c3d5af6b94f693fc03ba4"
 uuid = "bcd4f6db-9728-5f36-b5f7-82caef46ccdb"
-version = "5.55.0"
+version = "5.58.0"
 
 [[deps.DelimitedFiles]]
 deps = ["Mmap"]
@@ -703,9 +703,9 @@ version = "0.4.0"
 
 [[deps.DiffEqBase]]
 deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "FastPower", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "Setfield", "Static", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "TruncatedStacktraces"]
-git-tree-sha1 = "6f8f25122389ba34e491bdfe143ae16fda37cad3"
+git-tree-sha1 = "1b1e070e57681d1176d99a5ec455717e24686612"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.180.0"
+version = "6.183.2"
 
     [deps.DiffEqBase.extensions]
     DiffEqBaseCUDAExt = "CUDA"
@@ -743,9 +743,9 @@ version = "6.180.0"
 
 [[deps.DiffEqCallbacks]]
 deps = ["ConcreteStructs", "DataStructures", "DiffEqBase", "DifferentiationInterface", "Functors", "LinearAlgebra", "Markdown", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArraysCore"]
-git-tree-sha1 = "80a782f3e65d4900dcf5f2cb71f5e19d9459c04a"
+git-tree-sha1 = "397ef6fffcf418ba55264ba785b032b8a136903b"
 uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
-version = "4.8.0"
+version = "4.9.0"
 
 [[deps.DiffEqNoiseProcess]]
 deps = ["DiffEqBase", "Distributions", "GPUArraysCore", "LinearAlgebra", "Markdown", "Optim", "PoissonRandom", "QuadGK", "Random", "Random123", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "ResettableStacks", "SciMLBase", "StaticArraysCore", "Statistics"]
@@ -777,9 +777,9 @@ version = "7.16.1"
 
 [[deps.DifferentiationInterface]]
 deps = ["ADTypes", "LinearAlgebra"]
-git-tree-sha1 = "f620da805b82bec64ab4d5f881c7592c82dbc08a"
+git-tree-sha1 = "38989b1532a3c6e2341d52b77c5475c42c3318a8"
 uuid = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
-version = "0.7.3"
+version = "0.7.6"
 
     [deps.DifferentiationInterface.extensions]
     DifferentiationInterfaceChainRulesCoreExt = "ChainRulesCore"
@@ -929,9 +929,9 @@ version = "1.0.5"
 
 [[deps.Enzyme]]
 deps = ["CEnum", "EnzymeCore", "Enzyme_jll", "GPUCompiler", "InteractiveUtils", "LLVM", "Libdl", "LinearAlgebra", "ObjectFile", "PrecompileTools", "Preferences", "Printf", "Random", "SparseArrays"]
-git-tree-sha1 = "e36968f0a43d9a3b627ac94d5346b458ce14066d"
+git-tree-sha1 = "7297613272c67cb7f11969679960419c5e463974"
 uuid = "7da242da-08ed-463a-9acd-ee780be4f1d9"
-version = "0.13.65"
+version = "0.13.68"
 
     [deps.Enzyme.extensions]
     EnzymeBFloat16sExt = "BFloat16s"
@@ -1123,9 +1123,9 @@ weakdeps = ["PDMats", "SparseArrays", "Statistics"]
 
 [[deps.FiniteDiff]]
 deps = ["ArrayInterface", "LinearAlgebra", "Setfield"]
-git-tree-sha1 = "f089ab1f834470c525562030c8cfde4025d5e915"
+git-tree-sha1 = "31fd32af86234b6b71add76229d53129aa1b87a9"
 uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
-version = "2.27.0"
+version = "2.28.1"
 
     [deps.FiniteDiff.extensions]
     FiniteDiffBandedMatricesExt = "BandedMatrices"
@@ -1180,9 +1180,9 @@ version = "1.3.7"
 
 [[deps.ForwardDiff]]
 deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
-git-tree-sha1 = "910febccb28d493032495b7009dce7d7f7aee554"
+git-tree-sha1 = "a2df1b776752e3f344e5116c06d75a10436ab853"
 uuid = "f6369f11-7733-5829-9624-2563aa707210"
-version = "1.0.1"
+version = "0.10.38"
 weakdeps = ["StaticArrays"]
 
     [deps.ForwardDiff.extensions]
@@ -1290,15 +1290,33 @@ version = "1.3.15+0"
 
 [[deps.Graphs]]
 deps = ["ArnoldiMethod", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
-git-tree-sha1 = "c5abfa0ae0aaee162a3fbb053c13ecda39be545b"
+git-tree-sha1 = "7a98c6502f4632dbe9fb1973a4244eaa3324e84d"
 uuid = "86223c79-3864-5bf0-83f7-82e725a168b6"
-version = "1.13.0"
+version = "1.13.1"
 
 [[deps.Grisu]]
 git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
 uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
 version = "1.0.2"
 
+[[deps.HDF5]]
+deps = ["Compat", "HDF5_jll", "Libdl", "MPIPreferences", "Mmap", "Preferences", "Printf", "Random", "Requires", "UUIDs"]
+git-tree-sha1 = "e856eef26cf5bf2b0f95f8f4fc37553c72c8641c"
+uuid = "f67ccb44-e63f-5c2f-98bd-6dc0ccc4ba2f"
+version = "0.17.2"
+
+    [deps.HDF5.extensions]
+    MPIExt = "MPI"
+
+    [deps.HDF5.weakdeps]
+    MPI = "da04e1cc-30fd-572f-bb4f-1f8673147195"
+
+[[deps.HDF5_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LazyArtifacts", "LibCURL_jll", "Libdl", "MPICH_jll", "MPIPreferences", "MPItrampoline_jll", "MicrosoftMPI_jll", "OpenMPI_jll", "OpenSSL_jll", "TOML", "Zlib_jll", "libaec_jll"]
+git-tree-sha1 = "e94f84da9af7ce9c6be049e9067e511e17ff89ec"
+uuid = "0234f1f7-429e-5d53-9886-15a909be8d59"
+version = "1.14.6+0"
+
 [[deps.HTTP]]
 deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "PrecompileTools", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
 git-tree-sha1 = "ed5e9c58612c4e081aecdb6e1a479e18462e041e"
@@ -1326,6 +1344,12 @@ weakdeps = ["Distributions"]
     [deps.HiddenMarkovModels.extensions]
     HiddenMarkovModelsDistributionsExt = "Distributions"
 
+[[deps.Hwloc_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "92f65c4d78ce8cdbb6b68daf88889950b0a99d11"
+uuid = "e33a78d0-f292-5ffc-b300-72abe9b543c8"
+version = "2.12.1+0"
+
 [[deps.HypergeometricFunctions]]
 deps = ["LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
 git-tree-sha1 = "68c173f4f449de5b438ee67ed0c9c748dc31a2ec"
@@ -1466,10 +1490,13 @@ version = "0.2.4"
 
 [[deps.JumpProcesses]]
 deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "DiffEqCallbacks", "DocStringExtensions", "FunctionWrappers", "Graphs", "LinearAlgebra", "Markdown", "PoissonRandom", "Random", "RecursiveArrayTools", "Reexport", "SciMLBase", "Setfield", "StaticArrays", "SymbolicIndexingInterface", "UnPack"]
-git-tree-sha1 = "f8da88993c914357031daf0023f18748ff473924"
+git-tree-sha1 = "f5b57507a36f05509e72120aa84d5c3747dbd70e"
 uuid = "ccbc3e58-028d-4f4c-8cd5-9ae44345cda5"
-version = "9.16.1"
-weakdeps = ["FastBroadcast"]
+version = "9.17.0"
+weakdeps = ["Adapt", "FastBroadcast", "KernelAbstractions"]
+
+    [deps.JumpProcesses.extensions]
+    JumpProcessesKernelAbstractionsExt = ["Adapt", "KernelAbstractions"]
 
 [[deps.KernelAbstractions]]
 deps = ["Adapt", "Atomix", "InteractiveUtils", "MacroTools", "PrecompileTools", "Requires", "StaticArrays", "UUIDs"]
@@ -1562,9 +1589,9 @@ version = "1.4.0"
 
 [[deps.Latexify]]
 deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
-git-tree-sha1 = "4f34eaabe49ecb3fb0d58d6015e32fd31a733199"
+git-tree-sha1 = "52e1296ebbde0db845b356abbbe67fb82a0a116c"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
-version = "0.16.8"
+version = "0.16.9"
 
     [deps.Latexify.extensions]
     DataFramesExt = "DataFrames"
@@ -1731,15 +1758,19 @@ version = "1.11.0"
 
 [[deps.LinearSolve]]
 deps = ["ArrayInterface", "ChainRulesCore", "ConcreteStructs", "DocStringExtensions", "EnumX", "GPUArraysCore", "InteractiveUtils", "Krylov", "LazyArrays", "Libdl", "LinearAlgebra", "MKL_jll", "Markdown", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "StaticArraysCore", "UnPack"]
-git-tree-sha1 = "d768ff40cc3fe42581708696b24ee65dccc9c6ba"
+git-tree-sha1 = "43ad373b1a9ea03250aba3b02b2d70622c7dc5d2"
 uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
-version = "3.24.0"
+version = "3.31.0"
 
     [deps.LinearSolve.extensions]
+    LinearSolveAMDGPUExt = "AMDGPU"
+    LinearSolveBLISExt = ["blis_jll", "LAPACK_jll"]
     LinearSolveBandedMatricesExt = "BandedMatrices"
     LinearSolveBlockDiagonalsExt = "BlockDiagonals"
     LinearSolveCUDAExt = "CUDA"
     LinearSolveCUDSSExt = "CUDSS"
+    LinearSolveCUSOLVERRFExt = ["CUSOLVERRF", "SparseArrays"]
+    LinearSolveCliqueTreesExt = ["CliqueTrees", "SparseArrays"]
     LinearSolveEnzymeExt = "EnzymeCore"
     LinearSolveFastAlmostBandedMatricesExt = "FastAlmostBandedMatrices"
     LinearSolveFastLapackInterfaceExt = "FastLapackInterface"
@@ -1755,10 +1786,13 @@ version = "3.24.0"
     LinearSolveSparspakExt = ["SparseArrays", "Sparspak"]
 
     [deps.LinearSolve.weakdeps]
+    AMDGPU = "21141c5a-9bdb-4563-92ae-f87d6854732e"
     BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
     BlockDiagonals = "0a1fb500-61f7-11e9-3c65-f5ef3456f9f0"
     CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
     CUDSS = "45b445bb-4962-46a0-9369-b4df9d0f772e"
+    CUSOLVERRF = "a8cc9031-bad2-4722-94f5-40deabb4245c"
+    CliqueTrees = "60701a23-6482-424a-84db-faee86b9b1f8"
     EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
     FastAlmostBandedMatrices = "9d29842c-ecb8-4973-b1e9-a27b1157504e"
     FastLapackInterface = "29a986be-02c6-4525-aec4-84b980013641"
@@ -1767,11 +1801,13 @@ version = "3.24.0"
     IterativeSolvers = "42fd0dbc-a981-5370-80f2-aaf504508153"
     KernelAbstractions = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
     KrylovKit = "0b1a1467-8014-51b9-945f-bf0ae24f4b77"
+    LAPACK_jll = "51474c39-65e3-53ba-86ba-03b1b862ec14"
     Metal = "dde4c033-4e86-420c-a63e-0dd931031962"
     Pardiso = "46dd5b70-b6fb-5a00-ae2d-e8fea33afaf2"
     RecursiveFactorization = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
     SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
     Sparspak = "e56a9233-b9d6-4f03-8d0f-1825330902ac"
+    blis_jll = "6136c539-28a5-5bf0-87cc-b183200dce32"
 
 [[deps.LogDensityProblems]]
 deps = ["ArgCheck", "DocStringExtensions", "Random"]
@@ -1831,9 +1867,9 @@ version = "1.1.0"
 
 [[deps.Lux]]
 deps = ["ADTypes", "Adapt", "ArgCheck", "ArrayInterface", "ChainRulesCore", "Compat", "ConcreteStructs", "DiffResults", "DispatchDoctor", "EnzymeCore", "FastClosures", "ForwardDiff", "Functors", "GPUArraysCore", "LinearAlgebra", "LuxCore", "LuxLib", "MLDataDevices", "MacroTools", "Markdown", "NNlib", "Optimisers", "Preferences", "Random", "Reexport", "SIMDTypes", "Setfield", "Static", "StaticArraysCore", "Statistics", "WeightInitializers"]
-git-tree-sha1 = "c05e5c3dca1810e728429771763b485057322ad2"
+git-tree-sha1 = "c01b012bbf84e6d5aab7b75782a73f453d34be87"
 uuid = "b2108857-7c20-44ae-9111-449ecde12c47"
-version = "1.16.0"
+version = "1.17.0"
 
     [deps.Lux.extensions]
     LuxComponentArraysExt = "ComponentArrays"
@@ -1870,9 +1906,9 @@ version = "1.16.0"
 
 [[deps.LuxCore]]
 deps = ["Compat", "DispatchDoctor", "Random"]
-git-tree-sha1 = "48d45736aae190b1b41c1db5242fad955f0eff1d"
+git-tree-sha1 = "a72b6b530f39a87d1327b90f5def4bce48eb1a52"
 uuid = "bb33d45b-7691-41d6-9220-0943567d0623"
-version = "1.2.6"
+version = "1.3.0"
 
     [deps.LuxCore.extensions]
     LuxCoreArrayInterfaceReverseDiffExt = ["ArrayInterface", "ReverseDiff"]
@@ -1898,9 +1934,9 @@ version = "1.2.6"
 
 [[deps.LuxLib]]
 deps = ["ArrayInterface", "CPUSummary", "ChainRulesCore", "Compat", "DispatchDoctor", "EnzymeCore", "FastClosures", "ForwardDiff", "Functors", "KernelAbstractions", "LinearAlgebra", "LuxCore", "MLDataDevices", "Markdown", "NNlib", "Polyester", "Preferences", "Random", "Reexport", "Static", "StaticArraysCore", "Statistics"]
-git-tree-sha1 = "bf64921ca8182e3ee34a56b05b9f1ed568141a13"
+git-tree-sha1 = "5d1d796c8b2878b5cad2849970c52897ff8c0271"
 uuid = "82251201-b29d-42c6-8e01-566dec8acb11"
-version = "1.10.1"
+version = "1.10.2"
 
     [deps.LuxLib.extensions]
     LuxLibAppleAccelerateExt = "AppleAccelerate"
@@ -1909,7 +1945,6 @@ version = "1.10.1"
     LuxLibEnzymeExt = "Enzyme"
     LuxLibLoopVectorizationExt = "LoopVectorization"
     LuxLibMKLExt = "MKL"
-    LuxLibMooncakeExt = "Mooncake"
     LuxLibOctavianExt = ["Octavian", "LoopVectorization"]
     LuxLibReactantExt = "Reactant"
     LuxLibReverseDiffExt = "ReverseDiff"
@@ -1926,7 +1961,6 @@ version = "1.10.1"
     Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
     LoopVectorization = "bdcacae8-1622-11e9-2a5c-532679323890"
     MKL = "33e6dc65-8f57-5167-99aa-e5a354878fb2"
-    Mooncake = "da2b9cff-9c12-43a0-ae48-6db2b0edb7d6"
     Octavian = "6fd5a793-0b7e-452c-907f-f8bfe9c57db4"
     Reactant = "3c362404-f566-11ee-1572-e11a4b42c853"
     ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
@@ -1935,16 +1969,16 @@ version = "1.10.1"
     cuDNN = "02a925ec-e4fe-4b08-9a7e-0d78e3d38ccd"
 
 [[deps.MCMCChains]]
-deps = ["AbstractMCMC", "AxisArrays", "DataAPI", "Dates", "Distributions", "IteratorInterfaceExtensions", "KernelDensity", "LinearAlgebra", "MCMCDiagnosticTools", "MLJModelInterface", "NaturalSort", "OrderedCollections", "PrettyTables", "Random", "RecipesBase", "Statistics", "StatsBase", "StatsFuns", "TableTraits", "Tables"]
-git-tree-sha1 = "a1b9bf62acb012e4a717562f83f859257c5b6fec"
+deps = ["AbstractMCMC", "AxisArrays", "Dates", "Distributions", "IteratorInterfaceExtensions", "KernelDensity", "LinearAlgebra", "MCMCDiagnosticTools", "MLJModelInterface", "NaturalSort", "OrderedCollections", "PrettyTables", "Random", "RecipesBase", "Statistics", "StatsBase", "StatsFuns", "TableTraits", "Tables"]
+git-tree-sha1 = "cd7aee22384792c726e19f2a22dc060b886edded"
 uuid = "c7f686f2-ff18-58e9-bc7b-31028e88f75d"
-version = "7.1.0"
+version = "6.0.7"
 
 [[deps.MCMCDiagnosticTools]]
 deps = ["AbstractFFTs", "DataAPI", "DataStructures", "Distributions", "LinearAlgebra", "MLJModelInterface", "Random", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Tables"]
-git-tree-sha1 = "a586f05dd16a50c490ed95415b2a829b8cf5d57f"
+git-tree-sha1 = "526c98cd41028da22c01cb8a203246799ad853a8"
 uuid = "be115224-59cd-429b-ad48-344e309966f0"
-version = "0.3.14"
+version = "0.3.15"
 
 [[deps.MKL_jll]]
 deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "oneTBB_jll"]
@@ -2039,6 +2073,24 @@ git-tree-sha1 = "a772d8d1987433538a5c226f79393324b55f7846"
 uuid = "f1d291b0-491e-4a28-83b9-f70985020b54"
 version = "0.4.8"
 
+[[deps.MPICH_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "Hwloc_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "MPIPreferences", "TOML"]
+git-tree-sha1 = "d72d0ecc3f76998aac04e446547259b9ae4c265f"
+uuid = "7cb0a576-ebde-5e09-9194-50597f1243b4"
+version = "4.3.1+0"
+
+[[deps.MPIPreferences]]
+deps = ["Libdl", "Preferences"]
+git-tree-sha1 = "c105fe467859e7f6e9a852cb15cb4301126fac07"
+uuid = "3da0fdf6-3ccc-4f1b-acd9-58baa6c99267"
+version = "0.1.11"
+
+[[deps.MPItrampoline_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "MPIPreferences", "TOML"]
+git-tree-sha1 = "e214f2a20bdd64c04cd3e4ff62d3c9be7e969a59"
+uuid = "f1f71cc9-e9ae-5b93-9b94-4fe0e1ad3748"
+version = "5.5.4+0"
+
 [[deps.MacroTools]]
 git-tree-sha1 = "1e0228a030642014fe5cfe68c2c0a818f9e3f522"
 uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
@@ -2101,12 +2153,24 @@ git-tree-sha1 = "7dbf904fa6c4447bd1f1d316886bfbe29feacf45"
 uuid = "6fafb56a-5788-4b4e-91ca-c0cea6611c73"
 version = "0.2.2"
 
+[[deps.MicroCanonicalHMC]]
+deps = ["AbstractMCMC", "Adapt", "Distributions", "ForwardDiff", "HDF5", "LinearAlgebra", "LogDensityProblems", "LogDensityProblemsAD", "MCMCChains", "MCMCDiagnosticTools", "Markdown", "ProgressMeter", "Random", "Statistics"]
+git-tree-sha1 = "99fd367f8b8fc9d479420d33e8f16f3dab3162f4"
+uuid = "234d2aa0-2291-45f7-9047-6fa6f316b0a8"
+version = "0.1.6"
+
 [[deps.MicroCollections]]
 deps = ["Accessors", "BangBang", "InitialValues"]
 git-tree-sha1 = "44d32db644e84c75dab479f1bc15ee76a1a3618f"
 uuid = "128add7d-3638-4c79-886c-908ea0c25c34"
 version = "0.2.0"
 
+[[deps.MicrosoftMPI_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "bc95bf4149bf535c09602e3acdf950d9b4376227"
+uuid = "9237b28f-5490-5468-be7b-bb81f5f5e6cf"
+version = "10.1.4+3"
+
 [[deps.Missings]]
 deps = ["DataAPI"]
 git-tree-sha1 = "ec4f7fbeab05d7747bdf98eb74d130a2a2ed298d"
@@ -2114,9 +2178,9 @@ uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
 version = "1.2.0"
 
 [[deps.MistyClosures]]
-git-tree-sha1 = "1142aefd845c608f3c70e4c202c4aae725cab67b"
+git-tree-sha1 = "d1a692e293c2a0dc8fda79c04cad60582f3d4de3"
 uuid = "dbe65cb8-6be2-42dd-bbc5-4196aaced4f4"
-version = "2.0.0"
+version = "2.1.0"
 
 [[deps.Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
@@ -2130,9 +2194,9 @@ version = "0.8.1"
 
 [[deps.Mooncake]]
 deps = ["ADTypes", "ChainRules", "ChainRulesCore", "DiffRules", "DispatchDoctor", "ExprTools", "FunctionWrappers", "GPUArraysCore", "Graphs", "InteractiveUtils", "LinearAlgebra", "MistyClosures", "Random", "Test"]
-git-tree-sha1 = "88bb6e5054ba4a341c8fb7047af859720669628d"
+git-tree-sha1 = "955bad945bc815c4b48fb4d17ce39cf3ba6abcf3"
 uuid = "da2b9cff-9c12-43a0-ae48-6db2b0edb7d6"
-version = "0.4.142"
+version = "0.4.150"
 
     [deps.Mooncake.extensions]
     MooncakeAllocCheckExt = "AllocCheck"
@@ -2140,7 +2204,7 @@ version = "0.4.142"
     MooncakeDynamicExpressionsExt = "DynamicExpressions"
     MooncakeFluxExt = "Flux"
     MooncakeJETExt = "JET"
-    MooncakeLuxLibExt = "LuxLib"
+    MooncakeLuxLibExt = ["LuxLib", "MLDataDevices", "Static"]
     MooncakeLuxLibSLEEFPiratesExtension = ["LuxLib", "SLEEFPirates"]
     MooncakeNNlibExt = "NNlib"
     MooncakeSpecialFunctionsExt = "SpecialFunctions"
@@ -2152,9 +2216,11 @@ version = "0.4.142"
     Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c"
     JET = "c3a54625-cd67-489e-a8e7-0a5a0ff4e31b"
     LuxLib = "82251201-b29d-42c6-8e01-566dec8acb11"
+    MLDataDevices = "7e8f7934-dd98-4c1a-8fe8-92b47a384d40"
     NNlib = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
     SLEEFPirates = "476501e8-09a2-5ece-8869-fb82de89a1fa"
     SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"
+    Static = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
 
 [[deps.Moshi]]
 deps = ["ExproniconLite", "Jieko"]
@@ -2298,9 +2364,9 @@ version = "4.10.0"
 
 [[deps.NonlinearSolveBase]]
 deps = ["ADTypes", "Adapt", "ArrayInterface", "CommonSolve", "Compat", "ConcreteStructs", "DifferentiationInterface", "EnzymeCore", "FastClosures", "LinearAlgebra", "Markdown", "MaybeInplace", "Preferences", "Printf", "RecursiveArrayTools", "SciMLBase", "SciMLJacobianOperators", "SciMLOperators", "StaticArraysCore", "SymbolicIndexingInterface", "TimerOutputs"]
-git-tree-sha1 = "ee395563ae6ffaecbdf86d430440fddc779253a4"
+git-tree-sha1 = "1d42a315ba627ca0027d49d0efb44e3d88db24aa"
 uuid = "be0214bd-f91f-a760-ac4e-3421ce2b2da0"
-version = "1.13.0"
+version = "1.14.0"
 weakdeps = ["BandedMatrices", "DiffEqBase", "ForwardDiff", "LineSearch", "LinearSolve", "SparseArrays", "SparseMatrixColorings"]
 
     [deps.NonlinearSolveBase.extensions]
@@ -2314,15 +2380,15 @@ weakdeps = ["BandedMatrices", "DiffEqBase", "ForwardDiff", "LineSearch", "Linear
 
 [[deps.NonlinearSolveFirstOrder]]
 deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConcreteStructs", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LineSearch", "LinearAlgebra", "LinearSolve", "MaybeInplace", "NonlinearSolveBase", "PrecompileTools", "Reexport", "SciMLBase", "SciMLJacobianOperators", "Setfield", "StaticArraysCore"]
-git-tree-sha1 = "65101a20b135616a13625ae6f84b052ef5780363"
+git-tree-sha1 = "3f1198ae5cbf21e84b8251a9e62fa1f888f3e4cb"
 uuid = "5959db7a-ea39-4486-b5fe-2dd0bf03d60d"
-version = "1.6.0"
+version = "1.7.0"
 
 [[deps.NonlinearSolveQuasiNewton]]
 deps = ["ArrayInterface", "CommonSolve", "ConcreteStructs", "DiffEqBase", "LinearAlgebra", "LinearSolve", "MaybeInplace", "NonlinearSolveBase", "PrecompileTools", "Reexport", "SciMLBase", "SciMLOperators", "StaticArraysCore"]
-git-tree-sha1 = "3e04c917d4e3cd48b2a5091b6f76c720bb3f7362"
+git-tree-sha1 = "40dfaf1bf74f1f700f81d0002d4dd90999598eb2"
 uuid = "9a2c21bd-3a47-402d-9113-8faf9a0ee114"
-version = "1.7.0"
+version = "1.8.0"
 weakdeps = ["ForwardDiff"]
 
     [deps.NonlinearSolveQuasiNewton.extensions]
@@ -2330,9 +2396,9 @@ weakdeps = ["ForwardDiff"]
 
 [[deps.NonlinearSolveSpectralMethods]]
 deps = ["CommonSolve", "ConcreteStructs", "DiffEqBase", "LineSearch", "MaybeInplace", "NonlinearSolveBase", "PrecompileTools", "Reexport", "SciMLBase"]
-git-tree-sha1 = "3398222199e4b9ca0b5840907fb509f28f1a2fdc"
+git-tree-sha1 = "84de5a469e119eb2c22ae07c543dc4e7f7001ee7"
 uuid = "26075421-4e9a-44e1-8bd1-420ed7ad02b2"
-version = "1.2.0"
+version = "1.3.0"
 weakdeps = ["ForwardDiff"]
 
     [deps.NonlinearSolveSpectralMethods.extensions]
@@ -2340,9 +2406,9 @@ weakdeps = ["ForwardDiff"]
 
 [[deps.ObjectFile]]
 deps = ["Reexport", "StructIO"]
-git-tree-sha1 = "09b1fe6ff16e6587fa240c165347474322e77cf1"
+git-tree-sha1 = "22faba70c22d2f03e60fbc61da99c4ebfc3eb9ba"
 uuid = "d8793406-e978-5875-9003-1fc021f44a92"
-version = "0.4.4"
+version = "0.5.0"
 
 [[deps.Observables]]
 git-tree-sha1 = "7438a59546cf62428fc9d1bc94729146d37a7225"
@@ -2380,6 +2446,12 @@ deps = ["Artifacts", "Libdl"]
 uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
 version = "0.8.5+0"
 
+[[deps.OpenMPI_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "Hwloc_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "MPIPreferences", "TOML", "Zlib_jll"]
+git-tree-sha1 = "ec764453819f802fc1e144bfe750c454181bd66d"
+uuid = "fe0851c0-eecd-5654-98d4-656369965a5c"
+version = "5.0.8+0"
+
 [[deps.OpenSSL]]
 deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
 git-tree-sha1 = "f1a7e086c677df53e064e0fdd2c9d0b0833e3f6e"
@@ -2388,9 +2460,9 @@ version = "1.5.0"
 
 [[deps.OpenSSL_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "87510f7292a2b21aeff97912b0898f9553cc5c2c"
+git-tree-sha1 = "2ae7d4ddec2e13ad3bddf5c0796f7547cf682391"
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
-version = "3.5.1+0"
+version = "3.5.2+0"
 
 [[deps.OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl"]
@@ -2490,22 +2562,22 @@ uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
 version = "6.101.0"
 
 [[deps.OrdinaryDiffEqAdamsBashforthMoulton]]
-deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqLowOrderRK", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
-git-tree-sha1 = "82f78099ecf4e0fa53545811318520d87e7fe0b8"
+deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqLowOrderRK", "Polyester", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
+git-tree-sha1 = "09aae1486c767caa6bce9de892455cbdf5a6fbc8"
 uuid = "89bda076-bce5-4f1c-845f-551c83cdda9a"
-version = "1.2.0"
+version = "1.5.0"
 
 [[deps.OrdinaryDiffEqBDF]]
-deps = ["ADTypes", "ArrayInterface", "DiffEqBase", "FastBroadcast", "LinearAlgebra", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "OrdinaryDiffEqSDIRK", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "StaticArrays", "TruncatedStacktraces"]
-git-tree-sha1 = "b0bbc6541ea4a27974bd67e0a10b26211cb95e58"
+deps = ["ADTypes", "ArrayInterface", "DiffEqBase", "FastBroadcast", "LinearAlgebra", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "OrdinaryDiffEqSDIRK", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "StaticArrays", "TruncatedStacktraces"]
+git-tree-sha1 = "ce8db53fd1e4e41c020fd53961e7314f75e4c21c"
 uuid = "6ad6398a-0878-4a85-9266-38940aa047c8"
-version = "1.7.0"
+version = "1.10.1"
 
 [[deps.OrdinaryDiffEqCore]]
 deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "FastBroadcast", "FastClosures", "FastPower", "FillArrays", "FunctionWrappersWrappers", "InteractiveUtils", "LinearAlgebra", "Logging", "MacroTools", "MuladdMacro", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleUnPack", "Static", "StaticArrayInterface", "StaticArraysCore", "SymbolicIndexingInterface", "TruncatedStacktraces"]
-git-tree-sha1 = "1bd20b621e8dee5f2d170ae31631bf573ab77eec"
+git-tree-sha1 = "e579c9a4f9102e82da3d97c349a74d6bc11cf8dc"
 uuid = "bbf590c4-e513-4bbe-9b18-05decba2e5d8"
-version = "1.26.2"
+version = "1.30.0"
 weakdeps = ["EnzymeCore", "Mooncake"]
 
     [deps.OrdinaryDiffEqCore.extensions]
@@ -2513,166 +2585,166 @@ weakdeps = ["EnzymeCore", "Mooncake"]
     OrdinaryDiffEqCoreMooncakeExt = "Mooncake"
 
 [[deps.OrdinaryDiffEqDefault]]
-deps = ["ADTypes", "DiffEqBase", "EnumX", "LinearAlgebra", "LinearSolve", "OrdinaryDiffEqBDF", "OrdinaryDiffEqCore", "OrdinaryDiffEqRosenbrock", "OrdinaryDiffEqTsit5", "OrdinaryDiffEqVerner", "PrecompileTools", "Preferences", "Reexport"]
-git-tree-sha1 = "7e2f4ec76ebac709401064fd2cf73ad993d1e694"
+deps = ["ADTypes", "DiffEqBase", "EnumX", "LinearAlgebra", "LinearSolve", "OrdinaryDiffEqBDF", "OrdinaryDiffEqCore", "OrdinaryDiffEqRosenbrock", "OrdinaryDiffEqTsit5", "OrdinaryDiffEqVerner", "PrecompileTools", "Preferences", "Reexport", "SciMLBase"]
+git-tree-sha1 = "7d5ddeee97e1bdcc848f1397cbc3d03bd57f33e7"
 uuid = "50262376-6c5a-4cf5-baba-aaf4f84d72d7"
-version = "1.5.0"
+version = "1.8.0"
 
 [[deps.OrdinaryDiffEqDifferentiation]]
 deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "ConstructionBase", "DiffEqBase", "DifferentiationInterface", "FastBroadcast", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "LinearAlgebra", "LinearSolve", "OrdinaryDiffEqCore", "SciMLBase", "SciMLOperators", "SparseArrays", "SparseMatrixColorings", "StaticArrayInterface", "StaticArrays"]
-git-tree-sha1 = "382a4bf7795eee0298221c37099db770be524bab"
+git-tree-sha1 = "4c270747152db513dd80bfd5f2f9df48befff28a"
 uuid = "4302a76b-040a-498a-8c04-15b101fed76b"
-version = "1.10.1"
+version = "1.14.0"
 
 [[deps.OrdinaryDiffEqExplicitRK]]
-deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "TruncatedStacktraces"]
-git-tree-sha1 = "4dbce3f9e6974567082ce5176e21aab0224a69e9"
+deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "SciMLBase", "TruncatedStacktraces"]
+git-tree-sha1 = "4c0633f587395d7aaec0679dc649eb03fcc74e73"
 uuid = "9286f039-9fbf-40e8-bf65-aa933bdc4db0"
-version = "1.1.0"
+version = "1.4.0"
 
 [[deps.OrdinaryDiffEqExponentialRK]]
 deps = ["ADTypes", "DiffEqBase", "ExponentialUtilities", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "RecursiveArrayTools", "Reexport", "SciMLBase"]
-git-tree-sha1 = "585f73f10a1b444654d739853a9328d1bb7fce6b"
+git-tree-sha1 = "3b81416ff11e55ea0ae7b449efc818256d9d450b"
 uuid = "e0540318-69ee-4070-8777-9e2de6de23de"
-version = "1.5.0"
+version = "1.8.0"
 
 [[deps.OrdinaryDiffEqExtrapolation]]
-deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "FastPower", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "Polyester", "RecursiveArrayTools", "Reexport"]
-git-tree-sha1 = "80a636aac325c546b04e3bf20f0c80eaa0173dd4"
+deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "FastPower", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "Polyester", "RecursiveArrayTools", "Reexport", "SciMLBase"]
+git-tree-sha1 = "ee2cba2533e9faf71b09a319a910d4886931e7a6"
 uuid = "becaefa8-8ca2-5cf9-886d-c06f3d2bd2c4"
-version = "1.5.0"
+version = "1.8.0"
 
 [[deps.OrdinaryDiffEqFIRK]]
 deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "FastGaussQuadrature", "FastPower", "LinearAlgebra", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Polyester", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators"]
-git-tree-sha1 = "d7cbd84ba96a91e765fc20d2c3b3b1702c15eeed"
+git-tree-sha1 = "b968d66de3de5ffcf18544bc202ca792bad20710"
 uuid = "5960d6e9-dd7a-4743-88e7-cf307b64f125"
-version = "1.13.0"
+version = "1.16.0"
 
 [[deps.OrdinaryDiffEqFeagin]]
-deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
-git-tree-sha1 = "a7cc74d3433db98e59dc3d58bc28174c6c290adf"
+deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
+git-tree-sha1 = "815b54211201ec42b8829e0275ab3c9632d16cbe"
 uuid = "101fe9f7-ebb6-4678-b671-3a81e7194747"
-version = "1.1.0"
+version = "1.4.0"
 
 [[deps.OrdinaryDiffEqFunctionMap]]
 deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
-git-tree-sha1 = "a4cb67794464352b69331c903cfa91a40e9a79ac"
+git-tree-sha1 = "fe750e4b8c1b1b9e1c1319ff2e052e83ad57b3ac"
 uuid = "d3585ca7-f5d3-4ba6-8057-292ed1abd90f"
-version = "1.2.0"
+version = "1.5.0"
 
 [[deps.OrdinaryDiffEqHighOrderRK]]
-deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "Static"]
-git-tree-sha1 = "3466ac9ba5121c700a17e1d5ba42757405d636d4"
+deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
+git-tree-sha1 = "42096f72136078fa02804515f1748ddeb1f0d47d"
 uuid = "d28bc4f8-55e1-4f49-af69-84c1a99f0f58"
-version = "1.2.0"
+version = "1.5.0"
 
 [[deps.OrdinaryDiffEqIMEXMultistep]]
-deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Reexport"]
-git-tree-sha1 = "f2e7decd8b8b92a13e9d48f87780fdfecbc85708"
+deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Reexport", "SciMLBase"]
+git-tree-sha1 = "a5dcd75959dada0005b1707a5ca9359faa1734ba"
 uuid = "9f002381-b378-40b7-97a6-27a27c83f129"
-version = "1.4.0"
+version = "1.7.0"
 
 [[deps.OrdinaryDiffEqLinear]]
 deps = ["DiffEqBase", "ExponentialUtilities", "LinearAlgebra", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators"]
-git-tree-sha1 = "940cef72ec8799d869ff1ba3dcf47cf7758e51cf"
+git-tree-sha1 = "925fc0136e8128fd19abf126e9358ec1f997390f"
 uuid = "521117fe-8c41-49f8-b3b6-30780b3f0fb5"
-version = "1.3.0"
+version = "1.6.0"
 
 [[deps.OrdinaryDiffEqLowOrderRK]]
 deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
-git-tree-sha1 = "2b7a3ef765c5e3e9d8eee6031da143a0b1c0805c"
+git-tree-sha1 = "3cc4987c8e4725276b55a52e08b56ded4862917e"
 uuid = "1344f307-1e59-4825-a18e-ace9aa3fa4c6"
-version = "1.3.0"
+version = "1.6.0"
 
 [[deps.OrdinaryDiffEqLowStorageRK]]
-deps = ["Adapt", "DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static", "StaticArrays"]
-git-tree-sha1 = "52ec7081e65291fa5c19749312df0818db2fa1bc"
+deps = ["Adapt", "DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static", "StaticArrays"]
+git-tree-sha1 = "9291cdfd2e8c91e900c48d71d76618de47daeede"
 uuid = "b0944070-b475-4768-8dec-fb6eb410534d"
-version = "1.3.0"
+version = "1.6.0"
 
 [[deps.OrdinaryDiffEqNonlinearSolve]]
 deps = ["ADTypes", "ArrayInterface", "DiffEqBase", "FastBroadcast", "FastClosures", "ForwardDiff", "LinearAlgebra", "LinearSolve", "MuladdMacro", "NonlinearSolve", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "PreallocationTools", "RecursiveArrayTools", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleNonlinearSolve", "StaticArrays"]
-git-tree-sha1 = "e98aa2f8da8386bc26daeb7c9b161bc351ea6a77"
+git-tree-sha1 = "b05226afc8fa6b8fc6f2258a89987b4f5bd0db4e"
 uuid = "127b3ac7-2247-4354-8eb6-78cf4e7c58e8"
-version = "1.11.0"
+version = "1.14.1"
 
 [[deps.OrdinaryDiffEqNordsieck]]
-deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqTsit5", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
-git-tree-sha1 = "ef44754f10e0dfb9bb55ded382afed44cd94ab57"
+deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqTsit5", "Polyester", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
+git-tree-sha1 = "c90aa7fa0d725472c4098096adf6a08266c2f682"
 uuid = "c9986a66-5c92-4813-8696-a7ec84c806c8"
-version = "1.1.0"
+version = "1.4.0"
 
 [[deps.OrdinaryDiffEqPDIRK]]
-deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Polyester", "Reexport", "StaticArrays"]
-git-tree-sha1 = "ab9897e4bc8e3cf8e15f1cf61dbdd15d6a2341d7"
+deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Polyester", "Reexport", "SciMLBase", "StaticArrays"]
+git-tree-sha1 = "9d599d2eafdf74ab26ea6bf3feb28183a2ade143"
 uuid = "5dd0a6cf-3d4b-4314-aa06-06d4e299bc89"
-version = "1.3.1"
+version = "1.6.0"
 
 [[deps.OrdinaryDiffEqPRK]]
-deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "Reexport"]
-git-tree-sha1 = "da525d277962a1b76102c79f30cb0c31e13fe5b9"
+deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "Reexport", "SciMLBase"]
+git-tree-sha1 = "8e35132689133255be6d63df4190b5fc97b6cf2b"
 uuid = "5b33eab2-c0f1-4480-b2c3-94bc1e80bda1"
-version = "1.1.0"
+version = "1.4.0"
 
 [[deps.OrdinaryDiffEqQPRK]]
-deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "Static"]
-git-tree-sha1 = "332f9d17d0229218f66a73492162267359ba85e9"
+deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
+git-tree-sha1 = "63fb643a956b27cd0e33a3c6d910c3c118082e0f"
 uuid = "04162be5-8125-4266-98ed-640baecc6514"
-version = "1.1.0"
+version = "1.4.0"
 
 [[deps.OrdinaryDiffEqRKN]]
-deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport"]
-git-tree-sha1 = "6548bff67665b13a60abfb33e95fcf7ae08d186d"
+deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport", "SciMLBase"]
+git-tree-sha1 = "a31c41f9dbea7c7179c6e544c25c7e144d63868c"
 uuid = "af6ede74-add8-4cfd-b1df-9a4dbb109d7a"
-version = "1.2.0"
+version = "1.5.0"
 
 [[deps.OrdinaryDiffEqRosenbrock]]
-deps = ["ADTypes", "DiffEqBase", "DifferentiationInterface", "FastBroadcast", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static"]
-git-tree-sha1 = "a2f83c9b6e977c8dc5f37e0b448ad64f17c3a9c1"
+deps = ["ADTypes", "DiffEqBase", "DifferentiationInterface", "FastBroadcast", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
+git-tree-sha1 = "a06c1263d71ea42a1881b4d49c8a087035d4a3ff"
 uuid = "43230ef6-c299-4910-a778-202eb28ce4ce"
-version = "1.12.0"
+version = "1.16.1"
 
 [[deps.OrdinaryDiffEqSDIRK]]
 deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "LinearAlgebra", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "RecursiveArrayTools", "Reexport", "SciMLBase", "TruncatedStacktraces"]
-git-tree-sha1 = "62327171ae40737b7874d4bdf70e0a213d60086a"
+git-tree-sha1 = "20caa72c004414435fb5769fadb711e96ed5bcd4"
 uuid = "2d112036-d095-4a1e-ab9a-08536f3ecdbf"
-version = "1.4.0"
+version = "1.7.0"
 
 [[deps.OrdinaryDiffEqSSPRK]]
-deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static", "StaticArrays"]
-git-tree-sha1 = "651756c030df7a1d49ad484288937f8c398e8a08"
+deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static", "StaticArrays"]
+git-tree-sha1 = "af955c61407631d281dd4c2e8331cdfea1af49be"
 uuid = "669c94d9-1f4b-4b64-b377-1aa079aa2388"
-version = "1.3.0"
+version = "1.6.0"
 
 [[deps.OrdinaryDiffEqStabilizedIRK]]
-deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "RecursiveArrayTools", "Reexport", "StaticArrays"]
-git-tree-sha1 = "111c23b68ad644b47e38242af920d5805c7bedb1"
+deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "OrdinaryDiffEqStabilizedRK", "RecursiveArrayTools", "Reexport", "SciMLBase", "StaticArrays"]
+git-tree-sha1 = "75abe7462f4b0b2a2463bb512c8a5458bbd39185"
 uuid = "e3e12d00-db14-5390-b879-ac3dd2ef6296"
-version = "1.3.0"
+version = "1.6.0"
 
 [[deps.OrdinaryDiffEqStabilizedRK]]
-deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "StaticArrays"]
-git-tree-sha1 = "8b54bcaf8634548bd13c0bd9a0522f15e5438b67"
+deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "SciMLBase", "StaticArrays"]
+git-tree-sha1 = "7e94d3d1b3528b4bcf9e0248198ee0a2fd65a697"
 uuid = "358294b1-0aab-51c3-aafe-ad5ab194a2ad"
-version = "1.2.0"
+version = "1.4.0"
 
 [[deps.OrdinaryDiffEqSymplecticRK]]
-deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport"]
-git-tree-sha1 = "0d3e0527149d7ece68850c51de67e99bc4477b1b"
+deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport", "SciMLBase"]
+git-tree-sha1 = "e8dd5ab225287947016dc144a5ded1fb83885638"
 uuid = "fa646aed-7ef9-47eb-84c4-9443fc8cbfa8"
-version = "1.4.0"
+version = "1.7.0"
 
 [[deps.OrdinaryDiffEqTsit5]]
-deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static", "TruncatedStacktraces"]
-git-tree-sha1 = "d0b069075f4a5e54b29e412419e5a733a83e6240"
+deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static", "TruncatedStacktraces"]
+git-tree-sha1 = "778c7d379265f17f40dbe9aaa6f6a2a08bc7fa3e"
 uuid = "b1df2697-797e-41e3-8120-5422d3b24e4a"
-version = "1.2.0"
+version = "1.5.0"
 
 [[deps.OrdinaryDiffEqVerner]]
-deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static", "TruncatedStacktraces"]
-git-tree-sha1 = "91f0a004785791c8c538d34a67c19cf3f7776e85"
+deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static", "TruncatedStacktraces"]
+git-tree-sha1 = "185578fa7c38119d4318326f9375f1cba0f0ce53"
 uuid = "79d7bb75-1356-48c1-b8c0-6832512096c2"
-version = "1.3.0"
+version = "1.6.0"
 
 [[deps.PCRE2_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -2738,9 +2810,9 @@ version = "1.4.3"
 
 [[deps.Plots]]
 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", "TOML", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
-git-tree-sha1 = "3db9167c618b290a05d4345ca70de6d95304a32a"
+git-tree-sha1 = "9a9216c0cf706cb2cc58fd194878180e3e51e8c0"
 uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
-version = "1.40.17"
+version = "1.40.18"
 
     [deps.Plots.extensions]
     FileIOExt = "FileIO"
@@ -2758,9 +2830,9 @@ version = "1.40.17"
 
 [[deps.PoissonRandom]]
 deps = ["LogExpFunctions", "Random"]
-git-tree-sha1 = "bb178012780b34046c6d1600a315d8dbee89d83d"
+git-tree-sha1 = "c1ea45aa9f209fe97192afa233907bc4e551c8aa"
 uuid = "e409e4f3-bfea-5376-8464-e040bb5c01ab"
-version = "0.4.5"
+version = "0.4.6"
 
 [[deps.Polyester]]
 deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Static", "StaticArrayInterface", "StrideArraysCore", "ThreadingUtilities"]
@@ -2787,13 +2859,14 @@ uuid = "85a6dd25-e78a-55b7-8502-1745935b8125"
 version = "0.2.4"
 
 [[deps.PreallocationTools]]
-deps = ["Adapt", "ArrayInterface", "ForwardDiff"]
-git-tree-sha1 = "2cc315bb7f6e4d59081bad744cdb911d6374fc7f"
+deps = ["Adapt", "ArrayInterface", "PrecompileTools"]
+git-tree-sha1 = "520070df581845686c8c488b6dadce6b2c316856"
 uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
-version = "0.4.29"
-weakdeps = ["ReverseDiff", "SparseConnectivityTracer"]
+version = "0.4.32"
+weakdeps = ["ForwardDiff", "ReverseDiff", "SparseConnectivityTracer"]
 
     [deps.PreallocationTools.extensions]
+    PreallocationToolsForwardDiffExt = "ForwardDiff"
     PreallocationToolsReverseDiffExt = "ReverseDiff"
     PreallocationToolsSparseConnectivityTracerExt = "SparseConnectivityTracer"
 
@@ -2805,9 +2878,9 @@ version = "1.2.1"
 
 [[deps.Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6"
+git-tree-sha1 = "0f27480397253da18fe2c12a4ba4eb9eb208bf3d"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.4.3"
+version = "1.5.0"
 
 [[deps.PrettyPrint]]
 git-tree-sha1 = "632eb4abab3449ab30c5e1afaa874f0b98b586e4"
@@ -2944,10 +3017,10 @@ uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
 version = "0.6.12"
 
 [[deps.RecursiveArrayTools]]
-deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
-git-tree-sha1 = "f8726bd5a8b7f5f5d3f6c0ce4793454a599b5243"
+deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"]
+git-tree-sha1 = "96bef5b9ac123fff1b379acf0303cf914aaabdfd"
 uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
-version = "3.36.0"
+version = "3.37.1"
 
     [deps.RecursiveArrayTools.extensions]
     RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
@@ -2958,6 +3031,7 @@ version = "3.36.0"
     RecursiveArrayToolsReverseDiffExt = ["ReverseDiff", "Zygote"]
     RecursiveArrayToolsSparseArraysExt = ["SparseArrays"]
     RecursiveArrayToolsStructArraysExt = "StructArrays"
+    RecursiveArrayToolsTablesExt = ["Tables"]
     RecursiveArrayToolsTrackerExt = "Tracker"
     RecursiveArrayToolsZygoteExt = "Zygote"
 
@@ -2970,6 +3044,7 @@ version = "3.36.0"
     ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
     SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
     StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+    Tables = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
@@ -3051,15 +3126,15 @@ version = "0.1.0"
 
 [[deps.SSMProblems]]
 deps = ["AbstractMCMC", "Distributions", "Random"]
-git-tree-sha1 = "4fedd69d5a5392cfed4edc647972de5b5b25a90a"
+git-tree-sha1 = "b00814e67e8aacda2073865a3832e6cc378ea504"
 uuid = "26aad666-b158-4e64-9d35-0e672562fa48"
-version = "0.5.0"
+version = "0.5.1"
 
 [[deps.SciMLBase]]
-deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "Moshi", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"]
-git-tree-sha1 = "1c7fd50df465f0684f04f3a63736eac01999c659"
+deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "Moshi", "PreallocationTools", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"]
+git-tree-sha1 = "4398bda451c3c7aaca91a8077bcba227fe236d72"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "2.107.0"
+version = "2.111.1"
 
     [deps.SciMLBase.extensions]
     SciMLBaseChainRulesCoreExt = "ChainRulesCore"
@@ -3090,9 +3165,9 @@ version = "0.1.8"
 
 [[deps.SciMLOperators]]
 deps = ["Accessors", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "MacroTools"]
-git-tree-sha1 = "7d3a1519dc4d433a6b20035eaff20bde8be77c66"
+git-tree-sha1 = "aea915a39b547c48a18ee041120db1ae8df5a691"
 uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
-version = "1.4.0"
+version = "1.5.0"
 weakdeps = ["SparseArrays", "StaticArraysCore"]
 
     [deps.SciMLOperators.extensions]
@@ -3101,9 +3176,9 @@ weakdeps = ["SparseArrays", "StaticArraysCore"]
 
 [[deps.SciMLSensitivity]]
 deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "ChainRulesCore", "DiffEqBase", "DiffEqCallbacks", "DiffEqNoiseProcess", "Distributions", "Enzyme", "FastBroadcast", "FiniteDiff", "ForwardDiff", "FunctionProperties", "FunctionWrappersWrappers", "Functors", "GPUArraysCore", "LinearAlgebra", "LinearSolve", "Markdown", "OrdinaryDiffEqCore", "PreallocationTools", "QuadGK", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "ReverseDiff", "SciMLBase", "SciMLJacobianOperators", "SciMLStructures", "StaticArrays", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tracker", "Zygote"]
-git-tree-sha1 = "a5d3e3ccedbce9c0c07b4ffa60787b58bdc6d360"
+git-tree-sha1 = "e1b5f9b3be1452591c40a88de9efb265ebe76030"
 uuid = "1ed8b502-d754-442c-8d5d-10ac956f44a1"
-version = "7.88.0"
+version = "7.89.0"
 weakdeps = ["Mooncake"]
 
     [deps.SciMLSensitivity.extensions]
@@ -3189,9 +3264,9 @@ weakdeps = ["ChainRulesCore", "DiffEqBase", "ReverseDiff", "Tracker"]
 
 [[deps.SimpleTraits]]
 deps = ["InteractiveUtils", "MacroTools"]
-git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
+git-tree-sha1 = "be8eeac05ec97d379347584fa9fe2f5f76795bcb"
 uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
-version = "0.9.4"
+version = "0.9.5"
 
 [[deps.SimpleUnPack]]
 git-tree-sha1 = "58e6353e72cde29b90a69527e56df1b5c3d8c437"
@@ -3204,9 +3279,9 @@ version = "1.11.0"
 
 [[deps.SortingAlgorithms]]
 deps = ["DataStructures"]
-git-tree-sha1 = "66e0a8e672a0bdfca2c3f5937efb8538b9ddc085"
+git-tree-sha1 = "64d974c2e6fdf07f8155b5b2ca2ffa9069b608d9"
 uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
-version = "1.2.1"
+version = "1.2.2"
 
 [[deps.SparseArrays]]
 deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
@@ -3344,9 +3419,9 @@ weakdeps = ["ChainRulesCore", "InverseFunctions"]
 
 [[deps.StatsModels]]
 deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Printf", "REPL", "ShiftedArrays", "SparseArrays", "StatsAPI", "StatsBase", "StatsFuns", "Tables"]
-git-tree-sha1 = "9022bcaa2fc1d484f1326eaa4db8db543ca8c66d"
+git-tree-sha1 = "728d276a5adc2f1cbb800eec4b63d0a8221024b4"
 uuid = "3eaba693-59b7-5ba5-a881-562e759f1c8d"
-version = "0.7.4"
+version = "0.7.5"
 
 [[deps.StatsPlots]]
 deps = ["AbstractFFTs", "Clustering", "DataStructures", "Distributions", "Interpolations", "KernelDensity", "LinearAlgebra", "MultivariateStats", "NaNMath", "Observables", "Plots", "RecipesBase", "RecipesPipeline", "Reexport", "StatsBase", "TableOperations", "Tables", "Widgets"]
@@ -3443,10 +3518,14 @@ uuid = "fb77eaff-e24c-56d4-86b1-d163f2edb164"
 version = "5.2.3+0"
 
 [[deps.SymbolicIndexingInterface]]
-deps = ["Accessors", "ArrayInterface", "PrettyTables", "RuntimeGeneratedFunctions", "StaticArraysCore"]
-git-tree-sha1 = "59ca6eddaaa9849e7de9fd1153b6faf0b1db7b80"
+deps = ["Accessors", "ArrayInterface", "RuntimeGeneratedFunctions", "StaticArraysCore"]
+git-tree-sha1 = "93104ca226670c0cb92ba8bc6998852ad55a2d4c"
 uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
-version = "0.3.42"
+version = "0.3.43"
+weakdeps = ["PrettyTables"]
+
+    [deps.SymbolicIndexingInterface.extensions]
+    SymbolicIndexingInterfacePrettyTablesExt = "PrettyTables"
 
 [[deps.TOML]]
 deps = ["Dates"]
@@ -3601,9 +3680,9 @@ version = "1.6.0"
 
 [[deps.Turing]]
 deps = ["ADTypes", "AbstractMCMC", "AbstractPPL", "Accessors", "AdvancedHMC", "AdvancedMH", "AdvancedPS", "AdvancedVI", "BangBang", "Bijectors", "Compat", "DataStructures", "Distributions", "DistributionsAD", "DocStringExtensions", "DynamicPPL", "EllipticalSliceSampling", "ForwardDiff", "Libtask", "LinearAlgebra", "LogDensityProblems", "MCMCChains", "NamedArrays", "Optimization", "OptimizationOptimJL", "OrderedCollections", "Printf", "Random", "Reexport", "SciMLBase", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
-git-tree-sha1 = "3fd5118fd33c708bec35d892f86a5455e9402d66"
+git-tree-sha1 = "58ad6cfe65311dc4ddc0e13e6747f3fad26f1034"
 uuid = "fce5fe82-541a-59a6-adf8-730c64b5f9a0"
-version = "0.39.9"
+version = "0.39.10"
 weakdeps = ["DynamicHMC", "Optim"]
 
     [deps.Turing.extensions]
@@ -3918,6 +3997,12 @@ git-tree-sha1 = "b6a34e0e0960190ac2a4363a1bd003504772d631"
 uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
 version = "0.61.1+0"
 
+[[deps.libaec_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "f5733a5a9047722470b95a81e1b172383971105c"
+uuid = "477f73a3-ac25-53e9-8cc3-50b2fa2566f0"
+version = "1.1.3+0"
+
 [[deps.libaom_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
 git-tree-sha1 = "4bba74fa59ab0755167ad24f98800fe5d727175b"
diff --git a/_quarto.yml b/_quarto.yml
index 9bab2644c..47ff5ae17 100644
--- a/_quarto.yml
+++ b/_quarto.yml
@@ -72,6 +72,7 @@ website:
           collapse-level: 1
           contents:
             - usage/automatic-differentiation/index.qmd
+            - usage/stochastic-gradient-samplers/index.qmd
             - usage/submodels/index.qmd
             - usage/custom-distribution/index.qmd
             - usage/probability-interface/index.qmd
diff --git a/usage/stochastic-gradient-samplers/index.qmd b/usage/stochastic-gradient-samplers/index.qmd
new file mode 100644
index 000000000..2b018c8ea
--- /dev/null
+++ b/usage/stochastic-gradient-samplers/index.qmd
@@ -0,0 +1,235 @@
+---
+title: Stochastic Gradient Samplers
+engine: julia
+---
+
+```{julia}
+#| echo: false
+#| output: false
+using Pkg;
+Pkg.instantiate();
+```
+
+Turing.jl provides stochastic gradient-based MCMC samplers: **Stochastic Gradient Langevin Dynamics (SGLD)** and **Stochastic Gradient Hamiltonian Monte Carlo (SGHMC)**. 
+
+## Current Capabilities
+
+The current implementation in Turing.jl is primarily useful for:
+- **Research purposes**: Studying stochastic gradient MCMC methods
+- **Streaming data**: When data arrives continuously
+- **Experimental applications**: Testing stochastic sampling approaches
+
+**Important**: The current implementation computes full gradients with added stochastic noise rather than true mini-batch stochastic gradients. This means these samplers don't currently provide the computational benefits typically associated with stochastic gradient methods for large datasets. They require very careful hyperparameter tuning and often perform slower than standard samplers like HMC or NUTS for most practical applications.
+
+## Setup
+
+```{julia}
+using Turing
+using Distributions
+using StatsPlots
+using Random
+using LinearAlgebra
+
+Random.seed!(123)
+
+# Disable progress bars for cleaner output
+Turing.setprogress!(false)
+```
+
+## SGLD (Stochastic Gradient Langevin Dynamics)
+
+SGLD adds properly scaled noise to gradient descent steps to enable MCMC sampling. The key insight is that the right amount of noise transforms optimization into sampling from the posterior distribution.
+
+Let's start with a simple Gaussian model:
+
+```{julia}
+# Generate synthetic data
+true_μ = 2.0
+true_σ = 1.5
+N = 100
+data = rand(Normal(true_μ, true_σ), N)
+
+# Define a simple Gaussian model
+@model function gaussian_model(x)
+    μ ~ Normal(0, 10)
+    σ ~ truncated(Normal(0, 5); lower=0)
+    
+    for i in 1:length(x)
+        x[i] ~ Normal(μ, σ)
+    end
+end
+
+model = gaussian_model(data)
+```
+
+SGLD requires very small step sizes to ensure stability. We use a `PolynomialStepsize` that decreases over time. Note: Currently, `PolynomialStepsize` is the primary stepsize schedule available in Turing for SGLD:
+
+```{julia}
+# SGLD with polynomial stepsize schedule
+# stepsize(t) = a / (b + t)^γ
+sgld_stepsize = Turing.PolynomialStepsize(0.0001, 10000, 0.55)
+chain_sgld = sample(model, SGLD(stepsize=sgld_stepsize), 5000)
+
+summarystats(chain_sgld)
+```
+
+
+```{julia}
+plot(chain_sgld)
+```
+
+## SGHMC (Stochastic Gradient Hamiltonian Monte Carlo)
+
+SGHMC extends HMC to the stochastic gradient setting by incorporating friction to counteract the noise from stochastic gradients:
+
+```{julia}
+# SGHMC with very small learning rate
+chain_sghmc = sample(model, SGHMC(learning_rate=0.00001, momentum_decay=0.1), 5000)
+
+summarystats(chain_sghmc)
+```
+
+```{julia}
+plot(chain_sghmc)
+```
+
+## Comparison with Standard HMC
+
+For comparison, let's sample the same model using standard HMC:
+
+```{julia}
+chain_hmc = sample(model, HMC(0.01, 10), 1000)
+
+println("True values: μ = ", true_μ, ", σ = ", true_σ)
+summarystats(chain_hmc)
+```
+
+Compare the trace plots to see how the different samplers explore the posterior:
+
+```{julia}
+p1 = plot(chain_sgld[:μ], label="SGLD", title="μ parameter traces")
+hline!([true_μ], label="True value", linestyle=:dash, color=:red)
+
+p2 = plot(chain_sghmc[:μ], label="SGHMC")
+hline!([true_μ], label="True value", linestyle=:dash, color=:red)
+
+p3 = plot(chain_hmc[:μ], label="HMC")
+hline!([true_μ], label="True value", linestyle=:dash, color=:red)
+
+plot(p1, p2, p3, layout=(3,1), size=(800,600))
+```
+
+The comparison shows that:
+- **SGLD** exhibits slower convergence and higher variance due to the injected noise, requiring longer chains to achieve stable estimates
+- **SGHMC** shows slightly better mixing than SGLD due to the momentum term, but still requires careful tuning
+- **HMC** converges quickly and efficiently explores the posterior, demonstrating why it's preferred for small to medium-sized problems
+
+## Bayesian Linear Regression Example
+
+Here's a more complex example using Bayesian linear regression:
+
+```{julia}
+# Generate regression data
+n_features = 3
+n_samples = 100
+X = randn(n_samples, n_features)
+true_β = [0.5, -1.2, 2.1]
+true_σ_noise = 0.3
+y = X * true_β + true_σ_noise * randn(n_samples)
+
+@model function linear_regression(X, y)
+    n_features = size(X, 2)
+    
+    # Priors
+    β ~ MvNormal(zeros(n_features), 3 * I)
+    σ ~ truncated(Normal(0, 1); lower=0)
+    
+    # Likelihood
+    y ~ MvNormal(X * β, σ^2 * I)
+end
+
+lr_model = linear_regression(X, y)
+```
+
+Sample using the stochastic gradient methods:
+
+```{julia}
+# Very conservative parameters for stability
+sgld_lr_stepsize = Turing.PolynomialStepsize(0.00005, 10000, 0.55)
+chain_lr_sgld = sample(lr_model, SGLD(stepsize=sgld_lr_stepsize), 5000)
+
+chain_lr_sghmc = sample(lr_model, SGHMC(learning_rate=0.00005, momentum_decay=0.1), 5000)
+
+chain_lr_hmc = sample(lr_model, HMC(0.01, 10), 1000)
+```
+
+Compare the results to evaluate the performance of stochastic gradient samplers on a more complex model:
+
+```{julia}
+println("True β values: ", true_β)
+println("True σ value: ", true_σ_noise)
+println()
+
+println("SGLD estimates:")
+summarystats(chain_lr_sgld)
+```
+
+The linear regression example demonstrates that stochastic gradient samplers can recover the true parameters, but:
+- They require significantly longer chains (5000 vs 1000 for HMC)
+- The estimates may have higher variance
+- Convergence diagnostics should be carefully examined before trusting the results
+
+## Automatic Differentiation Backends
+
+Both samplers support different AD backends. For more information about automatic differentiation in Turing, see the [Automatic Differentiation](../automatic-differentiation/) documentation.
+
+```{julia}
+using ADTypes
+
+# ForwardDiff (default) - good for few parameters
+sgld_forward = SGLD(stepsize=sgld_stepsize, adtype=AutoForwardDiff())
+
+# ReverseDiff - better for many parameters  
+sgld_reverse = SGLD(stepsize=sgld_stepsize, adtype=AutoReverseDiff())
+
+# Zygote - good for complex models
+sgld_zygote = SGLD(stepsize=sgld_stepsize, adtype=AutoZygote())
+```
+
+## Best Practices and Recommendations
+
+### When to Consider Stochastic Gradient Samplers
+
+- **Streaming data**: When data arrives continuously and you need online inference
+- **Research**: For studying stochastic gradient MCMC methods
+- **Educational purposes**: For understanding stochastic gradient MCMC algorithms
+
+### Critical Hyperparameters
+
+**For SGLD:**
+- Use `PolynomialStepsize` with very small initial values (≤ 0.0001)
+- Larger `b` values in `PolynomialStepsize(a, b, γ)` provide more stability
+- The stepsize decreases as `a / (b + t)^γ`
+
+**For SGHMC:**
+- Use extremely small learning rates (≤ 0.00001)
+- Momentum decay (friction) typically between 0.1-0.5
+- Higher momentum decay improves stability but slows convergence
+
+### Current Limitations
+
+1. **No mini-batching**: Full gradients are computed despite "stochastic" name
+2. **Hyperparameter sensitivity**: Requires extensive tuning
+3. **Computational overhead**: Often slower than HMC/NUTS for small-medium datasets
+4. **Convergence**: Typically requires longer chains
+
+### General Recommendations
+
+- **Start conservatively**: Use very small step sizes initially
+- **Monitor convergence**: Check trace plots and diagnostics carefully  
+- **Compare with HMC/NUTS**: Validate results when possible
+- **Consider alternatives**: For most applications, HMC or NUTS will be more efficient
+
+## Summary
+
+Stochastic gradient samplers in Turing.jl provide an interface to gradient-based MCMC methods with added stochasticity. While designed for large-scale problems, the current implementation uses full gradients, making them primarily useful for research or specialized applications. For most practical Bayesian inference tasks, standard samplers like HMC or NUTS will be more efficient and easier to tune.
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