SciML: Differentiable Modeling and Simulation Combined with Machine Learning
The SciML organization is a collection of tools for solving equations and modeling systems developed in the Julia programming language with bindings to other languages such as R and Python. The organization provides well-maintained tools which compose together as a coherent ecosystem. It has a coherent development principle, unified APIs over large collections of equation solvers, pervasive differentiability and sensitivity analysis, and features many of the highest performance and parallel implementations one can find.
Scientific Machine Learning (SciML) = Scientific Computing + Machine Learning
Where to Start?
- Want to get started running some code? Check out the Getting Started tutorials.
- What is SciML? Check out our Overview.
- Want to see some cool end-to-end examples? Check out the SciML Showcase.
- Curious about our performance claims? Check out the SciML Open Benchmarks.
- Want to learn more about how SciML does scientific machine learning? Check out the SciML Book (from MIT's 18.337 graduate course).
- Want to chat with someone? Check out our chat room and forums.
- Want to see our code? Check out the SciML GitHub organization.
And for diving into the details, use the bar on the top to navigate to the submodule of interest!
Reproducibility
The documentation of the SciML Showcase was built using these direct dependencies,
Status `/var/lib/buildkite-agent/builds/gpuci-3/julialang/scimldocs/docs/Project.toml`
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[2445eb08] DataDrivenDiffEq v1.5.0
[5b588203] DataDrivenSparse v0.1.2
[a93c6f00] DataFrames v1.7.0
[071ae1c0] DiffEqGPU v3.4.1
[0c46a032] DifferentialEquations v7.14.0
[31c24e10] Distributions v0.25.112
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[5b8099bc] DomainSets v0.7.14
[587475ba] Flux v0.14.22
[f6369f11] ForwardDiff v0.10.36
[40713840] IncompleteLU v0.2.1
[de52edbc] Integrals v4.5.0
[d3d80556] LineSearches v7.3.0
[7ed4a6bd] LinearSolve v2.36.1
[b2108857] Lux v1.2.0
[d0bbae9a] LuxCUDA v0.3.3
[c7f686f2] MCMCChains v6.0.6
[eff96d63] Measurements v2.11.0
[94925ecb] MethodOfLines v0.11.6
[961ee093] ModelingToolkit v9.49.0
[87ed4bf0] MultiDocumenter v0.7.0
[315f7962] NeuralPDE v5.17.0
[8913a72c] NonlinearSolve v3.15.1
[7f7a1694] Optimization v4.0.5
[fd9f6733] OptimizationMOI v0.5.1
[4e6fcdb7] OptimizationNLopt v0.3.1
[36348300] OptimizationOptimJL v0.4.1
[42dfb2eb] OptimizationOptimisers v0.3.4
[500b13db] OptimizationPolyalgorithms v0.3.0
[1dea7af3] OrdinaryDiffEq v6.89.0
[91a5bcdd] Plots v1.40.8
[afe9f18d] SciMLExpectations v2.2.0
⌃ [1ed8b502] SciMLSensitivity v7.68.0
[860ef19b] StableRNGs v1.0.2
[90137ffa] StaticArrays v1.9.8
[10745b16] Statistics v1.11.1
[f3b207a7] StatsPlots v0.15.7
[1986cc42] Unitful v1.21.0
[e88e6eb3] Zygote v0.6.72
[76f85450] LibGit2 v1.11.0
[37e2e46d] LinearAlgebra v1.11.0
[44cfe95a] Pkg v1.11.0
[de0858da] Printf v1.11.0
[9a3f8284] Random v1.11.0
Info Packages marked with ⌃ have new versions available and may be upgradable.
and using this machine and Julia version.
Julia Version 1.11.1
Commit 8f5b7ca12ad (2024-10-16 10:53 UTC)
Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: 48 × AMD EPYC 7402 24-Core Processor
WORD_SIZE: 64
LLVM: libLLVM-16.0.6 (ORCJIT, znver2)
Threads: 1 default, 0 interactive, 1 GC (on 2 virtual cores)
Environment:
JULIA_CPU_THREADS = 2
JULIA_DEBUG = Documenter
JULIA_DEPOT_PATH = /root/.cache/julia-buildkite-plugin/depots/0183cc98-c3b4-4959-aaaa-6c0d5f351407
LD_LIBRARY_PATH = /usr/local/nvidia/lib:/usr/local/nvidia/lib64
JULIA_PKG_SERVER =
A more complete overview of all dependencies and their versions is also provided.
Status `/var/lib/buildkite-agent/builds/gpuci-3/julialang/scimldocs/docs/Manifest.toml`
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[789caeaf] StochasticDiffEq v6.70.0
[7792a7ef] StrideArraysCore v0.5.7
[892a3eda] StringManipulation v0.4.0
[09ab397b] StructArrays v0.6.18
[53d494c1] StructIO v0.3.1
[c3572dad] Sundials v4.26.0
[2efcf032] SymbolicIndexingInterface v0.3.33
[19f23fe9] SymbolicLimits v0.2.2
[d1185830] SymbolicUtils v3.7.2
[0c5d862f] Symbolics v6.16.0
[ab02a1b2] TableOperations v1.2.0
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.12.0
[62fd8b95] TensorCore v0.1.1
[8ea1fca8] TermInterface v2.0.0
[5d786b92] TerminalLoggers v0.1.7
[1c621080] TestItems v1.0.0
[8290d209] ThreadingUtilities v0.5.2
[a759f4b9] TimerOutputs v0.5.25
[0796e94c] Tokenize v0.5.29
[9f7883ad] Tracker v0.2.35
[3bb67fe8] TranscodingStreams v0.11.3
[28d57a85] Transducers v0.4.84
[d5829a12] TriangularSolve v0.2.1
[410a4b4d] Tricks v0.1.9
[781d530d] TruncatedStacktraces v1.4.0
[5c2747f8] URIs v1.5.1
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
[1986cc42] Unitful v1.21.0
[45397f5d] UnitfulLatexify v1.6.4
[a7c27f48] Unityper v0.1.6
[013be700] UnsafeAtomics v0.2.1
[d80eeb9a] UnsafeAtomicsLLVM v0.2.1
[41fe7b60] Unzip v0.2.0
[3d5dd08c] VectorizationBase v0.21.70
[19fa3120] VertexSafeGraphs v0.2.0
[ea10d353] WeakRefStrings v1.4.2
[d49dbf32] WeightInitializers v1.0.4
[cc8bc4a8] Widgets v0.6.6
[efce3f68] WoodburyMatrices v1.0.0
[76eceee3] WorkerUtilities v1.6.1
[e88e6eb3] Zygote v0.6.72
[700de1a5] ZygoteRules v0.2.5
[02a925ec] cuDNN v1.4.0
⌅ [68821587] Arpack_jll v3.5.1+1
[6e34b625] Bzip2_jll v1.0.8+2
[4ee394cb] CUDA_Driver_jll v0.10.3+0
[76a88914] CUDA_Runtime_jll v0.15.3+0
[62b44479] CUDNN_jll v9.4.0+0
[83423d85] Cairo_jll v1.18.2+1
[7bc98958] Cubature_jll v1.0.5+0
[ee1fde0b] Dbus_jll v1.14.10+0
[7cc45869] Enzyme_jll v0.0.157+0
[2702e6a9] EpollShim_jll v0.0.20230411+0
[2e619515] Expat_jll v2.6.2+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
[f5851436] FFTW_jll v3.3.10+1
[a3f928ae] Fontconfig_jll v2.13.96+0
[d7e528f0] FreeType2_jll v2.13.2+0
[559328eb] FriBidi_jll v1.0.14+0
[0656b61e] GLFW_jll v3.4.0+1
[d2c73de3] GR_jll v0.73.8+0
[78b55507] Gettext_jll v0.21.0+0
[f8c6e375] Git_jll v2.46.2+0
[7746bdde] Glib_jll v2.80.5+0
[3b182d85] Graphite2_jll v1.3.14+0
[528830af] Gumbo_jll v0.10.2+0
[2e76f6c2] HarfBuzz_jll v8.3.1+0
[e33a78d0] Hwloc_jll v2.11.2+0
[1d5cc7b8] IntelOpenMP_jll v2024.2.1+0
[aacddb02] JpegTurbo_jll v3.0.4+0
[9c1d0b0a] JuliaNVTXCallbacks_jll v0.2.1+0
[c1c5ebd0] LAME_jll v3.100.2+0
[88015f11] LERC_jll v4.0.0+0
[dad2f222] LLVMExtra_jll v0.0.34+0
[1d63c593] LLVMOpenMP_jll v18.1.7+0
[dd4b983a] LZO_jll v2.10.2+1
[81d17ec3] L_BFGS_B_jll v3.0.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+1
[d4300ac3] Libgcrypt_jll v1.11.0+0
[7e76a0d4] Libglvnd_jll v1.6.0+0
[7add5ba3] Libgpg_error_jll v1.50.0+0
[94ce4f54] Libiconv_jll v1.17.0+1
[4b2f31a3] Libmount_jll v2.40.1+0
[89763e89] Libtiff_jll v4.7.0+0
[38a345b3] Libuuid_jll v2.40.1+0
[856f044c] MKL_jll v2024.2.0+0
[079eb43e] NLopt_jll v2.8.0+0
[e98f9f5b] NVTX_jll v3.1.0+2
[e7412a2a] Ogg_jll v1.3.5+1
[458c3c95] OpenSSL_jll v3.0.15+1
[efe28fd5] OpenSpecFun_jll v0.5.5+0
[91d4177d] Opus_jll v1.3.3+0
[36c8627f] Pango_jll v1.54.1+0
[30392449] Pixman_jll v0.43.4+0
[c0090381] Qt6Base_jll v6.7.1+1
[629bc702] Qt6Declarative_jll v6.7.1+2
[ce943373] Qt6ShaderTools_jll v6.7.1+1
[e99dba38] Qt6Wayland_jll v6.7.1+1
[f50d1b31] Rmath_jll v0.5.1+0
⌅ [fb77eaff] Sundials_jll v5.2.3+0
[a44049a8] Vulkan_Loader_jll v1.3.243+0
[a2964d1f] Wayland_jll v1.21.0+1
[2381bf8a] Wayland_protocols_jll v1.31.0+0
[02c8fc9c] XML2_jll v2.13.4+0
[aed1982a] XSLT_jll v1.1.41+0
[ffd25f8a] XZ_jll v5.6.3+0
[f67eecfb] Xorg_libICE_jll v1.1.1+0
[c834827a] Xorg_libSM_jll v1.2.4+0
[4f6342f7] Xorg_libX11_jll v1.8.6+0
[0c0b7dd1] Xorg_libXau_jll v1.0.11+0
[935fb764] Xorg_libXcursor_jll v1.2.0+4
[a3789734] Xorg_libXdmcp_jll v1.1.4+0
[1082639a] Xorg_libXext_jll v1.3.6+0
[d091e8ba] Xorg_libXfixes_jll v5.0.3+4
[a51aa0fd] Xorg_libXi_jll v1.7.10+4
[d1454406] Xorg_libXinerama_jll v1.1.4+4
[ec84b674] Xorg_libXrandr_jll v1.5.2+4
[ea2f1a96] Xorg_libXrender_jll v0.9.11+0
[14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
[c7cfdc94] Xorg_libxcb_jll v1.17.0+0
[cc61e674] Xorg_libxkbfile_jll v1.1.2+0
[e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
[12413925] Xorg_xcb_util_image_jll v0.4.0+1
[2def613f] Xorg_xcb_util_jll v0.4.0+1
[975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
[0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
[c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
[35661453] Xorg_xkbcomp_jll v1.4.6+0
[33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0
[c5fb5394] Xorg_xtrans_jll v1.5.0+0
[3161d3a3] Zstd_jll v1.5.6+1
[1e29f10c] demumble_jll v1.3.0+0
[35ca27e7] eudev_jll v3.2.9+0
[214eeab7] fzf_jll v0.53.0+0
[1a1c6b14] gperf_jll v3.1.1+0
[a4ae2306] libaom_jll v3.9.0+0
[0ac62f75] libass_jll v0.15.2+0
[1183f4f0] libdecor_jll v0.2.2+0
[2db6ffa8] libevdev_jll v1.11.0+0
[f638f0a6] libfdk_aac_jll v2.0.3+0
[36db933b] libinput_jll v1.18.0+0
[b53b4c65] libpng_jll v1.6.44+0
[f27f6e37] libvorbis_jll v1.3.7+2
[009596ad] mtdev_jll v1.1.6+0
[1317d2d5] oneTBB_jll v2021.12.0+0
⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+0
[d8fb68d0] xkbcommon_jll v1.4.1+1
[0dad84c5] ArgTools v1.1.2
[56f22d72] Artifacts v1.11.0
[2a0f44e3] Base64 v1.11.0
[ade2ca70] Dates v1.11.0
[8ba89e20] Distributed v1.11.0
[f43a241f] Downloads v1.6.0
[7b1f6079] FileWatching v1.11.0
[9fa8497b] Future v1.11.0
[b77e0a4c] InteractiveUtils v1.11.0
[4af54fe1] LazyArtifacts v1.11.0
[b27032c2] LibCURL v0.6.4
[76f85450] LibGit2 v1.11.0
[8f399da3] Libdl v1.11.0
[37e2e46d] LinearAlgebra v1.11.0
[56ddb016] Logging v1.11.0
[d6f4376e] Markdown v1.11.0
[a63ad114] Mmap v1.11.0
[ca575930] NetworkOptions v1.2.0
[44cfe95a] Pkg v1.11.0
[de0858da] Printf v1.11.0
[9abbd945] Profile v1.11.0
[3fa0cd96] REPL v1.11.0
[9a3f8284] Random v1.11.0
[ea8e919c] SHA v0.7.0
[9e88b42a] Serialization v1.11.0
[1a1011a3] SharedArrays v1.11.0
[6462fe0b] Sockets v1.11.0
[2f01184e] SparseArrays v1.11.0
[f489334b] StyledStrings v1.11.0
[4607b0f0] SuiteSparse
[fa267f1f] TOML v1.0.3
[a4e569a6] Tar v1.10.0
[8dfed614] Test v1.11.0
[cf7118a7] UUIDs v1.11.0
[4ec0a83e] Unicode v1.11.0
[e66e0078] CompilerSupportLibraries_jll v1.1.1+0
[deac9b47] LibCURL_jll v8.6.0+0
[e37daf67] LibGit2_jll v1.7.2+0
[29816b5a] LibSSH2_jll v1.11.0+1
[c8ffd9c3] MbedTLS_jll v2.28.6+0
[14a3606d] MozillaCACerts_jll v2023.12.12
[4536629a] OpenBLAS_jll v0.3.27+1
[05823500] OpenLibm_jll v0.8.1+2
[efcefdf7] PCRE2_jll v10.42.0+1
[bea87d4a] SuiteSparse_jll v7.7.0+0
[83775a58] Zlib_jll v1.2.13+1
[8e850b90] libblastrampoline_jll v5.11.0+0
[8e850ede] nghttp2_jll v1.59.0+0
[3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`
You can also download the manifest file and the project file.