add optimal data gathering for missing physics showcase

Author: ArnoStrouwen

docs/Project.toml

@@ -22,30 +22,38 @@ LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 LinearSolve = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
 Lux = "b2108857-7c20-44ae-9111-449ecde12c47"
 LuxCUDA = "d0bbae9a-e099-4d5b-a835-1c6931763bda"
+LuxCore = "bb33d45b-7691-41d6-9220-0943567d0623"
 MCMCChains = "c7f686f2-ff18-58e9-bc7b-31028e88f75d"
 Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
 MethodOfLines = "94925ecb-adb7-4558-8ed8-f975c56a0bf4"
 ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78"
+ModelingToolkitNeuralNets = "f162e290-f571-43a6-83d9-22ecc16da15f"
 MultiDocumenter = "87ed4bf0-c935-4a67-83c3-2a03bee4197c"
 NeuralPDE = "315f7962-48a3-4962-8226-d0f33b1235f0"
 NonlinearSolve = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
 Optimization = "7f7a1694-90dd-40f0-9382-eb1efda571ba"
+OptimizationBBO = "3e6eede4-6085-4f62-9a71-46d9bc1eb92b"
 OptimizationMOI = "fd9f6733-72f4-499f-8506-86b2bdd0dea1"
 OptimizationNLopt = "4e6fcdb7-1186-4e1f-a706-475e75c168bb"
 OptimizationOptimJL = "36348300-93cb-4f02-beb5-3c3902f8871e"
 OptimizationOptimisers = "42dfb2eb-d2b4-4451-abcd-913932933ac1"
 OptimizationPolyalgorithms = "500b13db-7e66-49ce-bda4-eed966be6282"
 OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
+OrdinaryDiffEqRosenbrock = "43230ef6-c299-4910-a778-202eb28ce4ce"
 Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
 Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
 Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 SciMLExpectations = "afe9f18d-7609-4d0e-b7b7-af0cb72b8ea8"
 SciMLSensitivity = "1ed8b502-d754-442c-8d5d-10ac956f44a1"
+SciMLStructures = "53ae85a6-f571-4167-b2af-e1d143709226"
 StableRNGs = "860ef19b-820b-49d6-a774-d7a799459cd3"
 StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 StatsPlots = "f3b207a7-027a-5e70-b257-86293d7955fd"
+SymbolicIndexingInterface = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
+SymbolicRegression = "8254be44-1295-4e6a-a16d-46603ac705cb"
+Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
 Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 

docs/make.jl

@@ -51,6 +51,7 @@ makedocs(sitename = "Overview of Julia's SciML",
         "Showcase of Cool Examples" => Any["showcase/showcase.md",
             "Automated Model Discovery" => Any["showcase/missing_physics.md",
                 "showcase/bayesian_neural_ode.md",
+                "showcase/optimal_data_gathering_for_missing_physics.md",
                 "showcase/blackhole.md"],
             "Solving Difficult Equations Efficiently" => Any["showcase/brusselator.md",
                 "showcase/pinngpu.md",