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Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

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Opening here a thread to keep track of progress for benchmarking with GillesPy2 and Gillepy2julia. (Have some health issues so will be little slow for now) Bdw, has anybody tried...

I ran into a few issues trying to follow the instructions for getting the benchmarks up and running locally. I'm sure I'm missing some steps. I'll update the documentation, but...

Continuouing https://github.com/SciML/SciMLBenchmarks.jl/pull/245 here. @SebastianM-C these time out. How long do they take?

This one needs to get an installation of Stan. DiffEqBayes does it like: https://github.com/SciML/DiffEqBayes.jl/blob/master/.travis.yml#L23-L28 so we probably need to do that on the Docker.

```julia using ModelingToolkit, Sundials, OrdinaryDiffEq, DiffEqDevTools, Plots f = begin f = ((var"##MTIIPVar#15413", var"##MTKArg#15409", var"##MTKArg#15410", var"##MTKArg#15411")->begin @inbounds begin begin (ModelingToolkit.fill_array_with_zero!)(var"##MTIIPVar#15413") let (x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, x₉,...

@slwu89 donated the following benchmark problem https://github.com/davewi13/Temperate-Mosquito-DDE https://gist.github.com/ChrisRackauckas/26b97f963c5f8ca46da19959a9bbbca4 The CR version of the Julia code is a version I updated a little bit. This will be a good benchmark problem...

https://github.com/SciML/DiffEqBenchmarks.jl/blob/5acdeba99e5f43e2748c0beadf90a48233f2f373/markdown/AdaptiveSDE/AdaptiveEfficiencyTests.md https://github.com/SciML/DiffEqBenchmarks.jl/blob/5acdeba99e5f43e2748c0beadf90a48233f2f373/markdown/AdaptiveSDE/qmaxDetermination.md

How have we never made one? ```julia using OrdinaryDiffEq const N = 128 const xyd_brusselator = range(0,stop=1,length=N) brusselator_f(x, y, t) = (((x-0.3)^2 + (y-0.6)^2) = 1.1) * 5. limit(a, N)...

https://github.com/SciML/DiffEqBayes.jl/pull/164/files#diff-ff2792dafb55c80dc353dbd4ff08d701R25-R30

```julia using OrdinaryDiffEq, RecursiveArrayTools, LinearAlgebra, Test, SparseArrays, SparseDiffTools, Sundials # Define the constants for the PDE const α₂ = 1.0 const α₃ = 1.0 const β₁ = 1.0 const β₂...