From 05ee83d49fb5e435190b1d790141b38fad001952 Mon Sep 17 00:00:00 2001 From: Vedant Puri Date: Sat, 5 Aug 2023 03:40:06 -0400 Subject: [PATCH] burg --- examples/pdebench/advect1d.jl | 2 +- examples/pdebench/burgers_bilinear.jl | 109 ++++++++++++++++++ .../model_burgers1D_nu0.001/plt_r2_test.png | Bin 0 -> 37533 bytes .../model_burgers1D_nu0.001/plt_r2_train.png | Bin 0 -> 36845 bytes .../model_burgers1D_nu0.001/plt_training.png | Bin 0 -> 35083 bytes .../model_burgers1D_nu0.001/plt_traj_test.png | Bin 0 -> 75771 bytes .../plt_traj_train.png | Bin 0 -> 69613 bytes .../model_burgers1D_nu0.001/statistics.txt | 19 +++ .../model_burgers1D_nu0.001_/plt_r2_test.png | Bin 0 -> 33434 bytes .../model_burgers1D_nu0.001_/plt_r2_train.png | Bin 0 -> 40157 bytes .../model_burgers1D_nu0.001_/plt_training.png | Bin 0 -> 24558 bytes .../plt_traj_test.png | Bin 0 -> 75823 bytes .../plt_traj_train.png | Bin 0 -> 86460 bytes .../model_burgers1D_nu0.001_/statistics.txt | 19 +++ .../plt_r2_test.png | Bin 0 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examples/pdebench/model_burgers1D_nu0.001/plt_traj_test.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001/plt_traj_train.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001/statistics.txt create mode 100644 examples/pdebench/model_burgers1D_nu0.001_/plt_r2_test.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_/plt_r2_train.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_/plt_training.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_/plt_traj_test.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_/plt_traj_train.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_/statistics.txt create mode 100644 examples/pdebench/model_burgers1D_nu0.001_bilinear/plt_r2_test.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_bilinear/plt_r2_train.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_bilinear/plt_training.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_bilinear/plt_traj_test.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_bilinear/plt_traj_train.png create mode 100644 examples/pdebench/model_burgers1D_nu0.001_bilinear/statistics.txt create mode 100644 examples/pdebench/model_burgers1D_nu0.01/plt_r2_test.png create mode 100644 examples/pdebench/model_burgers1D_nu0.01/plt_r2_train.png create mode 100644 examples/pdebench/model_burgers1D_nu0.01/plt_training.png create mode 100644 examples/pdebench/model_burgers1D_nu0.01/plt_traj_test.png create mode 100644 examples/pdebench/model_burgers1D_nu0.01/plt_traj_train.png create mode 100644 examples/pdebench/model_burgers1D_nu0.01/statistics.txt diff --git a/examples/pdebench/advect1d.jl b/examples/pdebench/advect1d.jl index 8263f86b..fd9e7f8d 100644 --- a/examples/pdebench/advect1d.jl +++ b/examples/pdebench/advect1d.jl @@ -60,7 +60,7 @@ m = (16,) # modes c = size(_data[1], 1) # in channels o = size(_data[2], 1) # out channels -NN = Lux.Chain( +NN = Lux.Chain( # todo - double check parameter size Dense(c, w, tanh), OpKernel(w, w, m, tanh), OpKernel(w, w, m, tanh), diff --git a/examples/pdebench/burgers_bilinear.jl b/examples/pdebench/burgers_bilinear.jl new file mode 100644 index 00000000..78a8005c --- /dev/null +++ b/examples/pdebench/burgers_bilinear.jl @@ -0,0 +1,109 @@ +# +""" +Learn solution to diffusion equation + + -∇⋅ν∇u = f + +for constant ν₀, and variable f + +test bed for Fourier Neural Operator experiments where +forcing is learned separately. +""" + +using GeometryLearning + +# PDE stack +using LinearAlgebra, FourierSpaces + +# ML stack +using Lux, Random, Optimisers + +# vis/analysis, serialization +using Plots, BSON + +# accelerator +using CUDA, KernelAbstractions +CUDA.allowscalar(false) +import Lux: cpu, gpu, relu + +# misc +using Tullio, Zygote + +using FFTW, LinearAlgebra +BLAS.set_num_threads(4) +FFTW.set_num_threads(8) + +rng = Random.default_rng() +Random.seed!(rng, 983254) + +N = 1024 +E = 100 + +# trajectories +_K = 512 +K_ = 64 + +# get data +dir = @__DIR__ +filename = joinpath(dir, "1D_Burgers_Sols_Nu0.001.hdf5") +include(joinpath(dir, "pdebench.jl")) +_data, data_ = burgers1D(filename, _K, K_, rng) + +_data = (reshape(_data[1][2, :, :], 1, N, :), _data[2]) # omit x-coordinate +data_ = (reshape(data_[1][2, :, :], 1, N, :), data_[2]) + +V = FourierSpace(N) + +### +# Bilin FNO model +### + +#============================# +w = 32 # width +l = 8 +m = (128,) # modes +c = size(_data[1], 1) # in channels +o = size(_data[2], 1) # out channels + +root = Chain( + Dense(c, w, relu), + OpKernel(w, w, m, relu), + OpKernel(w, w, m, relu), +) +branch = Chain( + OpKernel(w, w, m, relu), # use_bias = true + OpKernel(w, w, m, relu), +) +fuse = OpConvBilinear(w, w, l, m) + +project = Chain( + Dense(l, l, relu), + Dense(l, o), +) + +NN = Chain( + root, + BranchLayer(deepcopy(branch), deepcopy(branch)), + fuse, + project, +) + +#============================# + +opt = Optimisers.Adam() +batchsize = 32 + +learning_rates = (1f-2, 1f-3, 1f-4, 1f-5) +nepochs = E .* (0.25, 0.25, 0.25, 0.25) .|> Int + +# learning_rates = (1f-3, 5f-4, 2.5f-4, 1.25f-4) +# nepochs = E .* (0.25, 0.25, 0.25, 0.25) .|> Int + +dir = joinpath(@__DIR__, "model_burgers1D_nu0.001_bilinear") +device = Lux.cpu + +model, ST = train_model(rng, NN, _data, data_, V, opt; + batchsize, learning_rates, nepochs, dir, device) + +plot_training(ST...) +# diff --git a/examples/pdebench/model_burgers1D_nu0.001/plt_r2_test.png b/examples/pdebench/model_burgers1D_nu0.001/plt_r2_test.png new file mode 100644 index 0000000000000000000000000000000000000000..e46f010a7ea8106e9d537a98239089d7c3e0fbf4 GIT binary patch literal 37533 zcma&ObySq!+dVvV!$_Aj(l7`}HwXwwgES~1UD7qu(jg%YBGN65l$1z`ba!|6d-!~x z-~TVJr7UEabDwj?-uv2zPpYrwa4^X+ArJ_Tg1n461cLYm0zrsHM+9HF)A=+6{y}}K zC?^AXc>I&y@;w0pp@AsKNNRed@6K78XlhNP9X>SJd3nKyo8Y`C$g(nol!hPFklBde z=xQQkv1SLL$P)G!lRl}aVCUq-j7C9`N!7#{OT@QEN5KF4eZg%WuhSw_0Ucc)-@`8} 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