{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial: One dimensional Helmholtz equation using Periodic Boundary Conditions\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/mathLab/PINA/blob/master/tutorials/tutorial9/tutorial.ipynb)\n", "\n", "This tutorial presents how to solve with Physics-Informed Neural Networks (PINNs)\n", "a one dimensional Helmholtz equation with periodic boundary conditions (PBC).\n", "We will train with standard PINN's training by augmenting the input with\n", "periodic expansion as presented in [*An expert’s guide to training\n", "physics-informed neural networks*](\n", "https://arxiv.org/abs/2308.08468).\n", "\n", "First of all, some useful imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "## routine needed to run the notebook on Google Colab\n", "try:\n", " import google.colab\n", " IN_COLAB = True\n", "except:\n", " IN_COLAB = False\n", "if IN_COLAB:\n", " !pip install \"pina-mathlab\"\n", "\n", "import torch\n", "import matplotlib.pyplot as plt\n", "plt.style.use('tableau-colorblind10')\n", "from pina import Condition\n", "from pina.problem import SpatialProblem\n", "from pina.operator import laplacian\n", "from pina.model import FeedForward\n", "from pina.model.block import PeriodicBoundaryEmbedding # The PBC module\n", "from pina.solver import PINN\n", "from pina.trainer import Trainer\n", "from pina.domain import CartesianDomain\n", "from pina.equation import Equation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The problem definition\n", "\n", "The one-dimensional Helmholtz problem is mathematically written as:\n", "$$\n", "\\begin{cases}\n", "\\frac{d^2}{dx^2}u(x) - \\lambda u(x) -f(x) &= 0 \\quad x\\in(0,2)\\\\\n", "u^{(m)}(x=0) - u^{(m)}(x=2) &= 0 \\quad m\\in[0, 1, \\cdots]\\\\\n", "\\end{cases}\n", "$$\n", "In this case we are asking the solution to be $C^{\\infty}$ periodic with\n", "period $2$, on the infinite domain $x\\in(-\\infty, \\infty)$. Notice that the\n", "classical PINN would need infinite conditions to evaluate the PBC loss function,\n", "one for each derivative, which is of course infeasible... \n", "A possible solution, diverging from the original PINN formulation,\n", "is to use *coordinates augmentation*. In coordinates augmentation you seek for\n", "a coordinates transformation $v$ such that $x\\rightarrow v(x)$ such that\n", "the periodicity condition $ u^{(m)}(x=0) - u^{(m)}(x=2) = 0 \\quad m\\in[0, 1, \\cdots] $ is\n", "satisfied.\n", "\n", "For demonstration purposes, the problem specifics are $\\lambda=-10\\pi^2$,\n", "and $f(x)=-6\\pi^2\\sin(3\\pi x)\\cos(\\pi x)$ which give a solution that can be\n", "computed analytically $u(x) = \\sin(\\pi x)\\cos(3\\pi x)$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class Helmholtz(SpatialProblem):\n", " output_variables = ['u']\n", " spatial_domain = CartesianDomain({'x': [0, 2]})\n", "\n", " def Helmholtz_equation(input_, output_):\n", " x = input_.extract('x')\n", " u_xx = laplacian(output_, input_, components=['u'], d=['x'])\n", " f = - 6.*torch.pi**2 * torch.sin(3*torch.pi*x)*torch.cos(torch.pi*x)\n", " lambda_ = - 10. * torch.pi ** 2\n", " return u_xx - lambda_ * output_ - f\n", "\n", " # here we write the problem conditions\n", " conditions = {\n", " 'phys_cond': Condition(domain=spatial_domain,\n", " equation=Equation(Helmholtz_equation)),\n", " }\n", "\n", " def Helmholtz_sol(self, pts):\n", " return torch.sin(torch.pi * pts) * torch.cos(3. * torch.pi * pts)\n", " \n", " truth_solution = Helmholtz_sol\n", "\n", "problem = Helmholtz()\n", "\n", "# let's discretise the domain\n", "problem.discretise_domain(200, 'grid', domains=['phys_cond'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As usual, the Helmholtz problem is written in **PINA** code as a class. \n", "The equations are written as `conditions` that should be satisfied in the\n", "corresponding domains. The `truth_solution`\n", "is the exact solution which will be compared with the predicted one. We used\n", "Latin Hypercube Sampling for choosing the collocation points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solving the problem with a Periodic Network" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Any $\\mathcal{C}^{\\infty}$ periodic function\n", "$u : \\mathbb{R} \\rightarrow \\mathbb{R}$ with period\n", "$L\\in\\mathbb{N}$ can be constructed by composition of an\n", "arbitrary smooth function $f : \\mathbb{R}^n \\rightarrow \\mathbb{R}$ and a\n", "given smooth periodic function $v : \\mathbb{R} \\rightarrow \\mathbb{R}^n$ with\n", "period $L$, that is $u(x) = f(v(x))$. The formulation is generalizable for\n", "arbitrary dimension, see [*A method for representing periodic functions and\n", "enforcing exactly periodic boundary conditions with\n", "deep neural networks*](https://arxiv.org/pdf/2007.07442).\n", "\n", "In our case, we rewrite\n", "$v(x) = \\left[1, \\cos\\left(\\frac{2\\pi}{L} x\\right),\n", "\\sin\\left(\\frac{2\\pi}{L} x\\right)\\right]$, i.e\n", "the coordinates augmentation, and $f(\\cdot) = NN_{\\theta}(\\cdot)$ i.e. a neural\n", "network. The resulting neural network obtained by composing $f$ with $v$ gives\n", "the PINN approximate solution, that is\n", "$u(x) \\approx u_{\\theta}(x)=NN_{\\theta}(v(x))$.\n", "\n", "In **PINA** this translates in using the `PeriodicBoundaryEmbedding` layer for $v$, and any\n", "`pina.model` for $NN_{\\theta}$. Let's see it in action! \n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# we encapsulate all modules in a torch.nn.Sequential container\n", "model = torch.nn.Sequential(PeriodicBoundaryEmbedding(input_dimension=1,\n", " periods=2),\n", " FeedForward(input_dimensions=3, # output of PeriodicBoundaryEmbedding = 3 * input_dimension\n", " output_dimensions=1,\n", " layers=[10, 10]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As simple as that! Notice that in higher dimension you can specify different periods\n", "for all dimensions using a dictionary, e.g. `periods={'x':2, 'y':3, ...}`\n", "would indicate a periodicity of $2$ in $x$, $3$ in $y$, and so on...\n", "\n", "We will now solve the problem as usually with the `PINN` and `Trainer` class." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "GPU available: False, used: False\n", "TPU available: False, using: 0 TPU cores\n", "HPU available: False, using: 0 HPUs\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 4999: 100%|██████████| 1/1 [00:00<00:00, 18.31it/s, v_num=7, val_loss=0.0333, phys_cond_loss=0.0268, train_loss=0.0268]" ] }, { "name": "stderr", "output_type": "stream", "text": [ "`Trainer.fit` stopped: `max_epochs=5000` reached.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 4999: 100%|██████████| 1/1 [00:00<00:00, 15.82it/s, v_num=7, val_loss=0.0333, phys_cond_loss=0.0268, train_loss=0.0268]\n" ] } ], "source": [ "pinn = PINN(problem=problem, model=model)\n", "trainer = Trainer(pinn, max_epochs=5000, accelerator='cpu', enable_model_summary=False) # we train on CPU and avoid model summary at beginning of training (optional)\n", "trainer.train()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are going to plot the solution now!" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pts = pinn.problem.spatial_domain.sample(256, 'grid', variables='x')\n", "predicted_output = pinn.forward(pts).extract('u').as_subclass(torch.Tensor).cpu().detach()\n", "true_output = pinn.problem.truth_solution(pts).cpu().detach()\n", "pts = pts.cpu()\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(8, 8))\n", "ax.plot(pts.extract(['x']), predicted_output, label='Neural Network solution')\n", "ax.plot(pts.extract(['x']), true_output, label='True solution')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great, they overlap perfectly! This seems a good result, considering the simple neural network used to some this (complex) problem. We will now test the neural network on the domain $[-4, 4]$ without retraining. In principle the periodicity should be present since the $v$ function ensures the periodicity in $(-\\infty, \\infty)$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting solution\n", "with torch.no_grad():\n", " # Notice here we put [-4, 4]!!!\n", " new_domain = CartesianDomain({'x' : [0, 4]})\n", " x = new_domain.sample(1000, mode='grid')\n", " fig, axes = plt.subplots(1, 3, figsize=(15, 5))\n", " # Plot 1\n", " axes[0].plot(x, problem.truth_solution(x), label=r'$u(x)$', color='blue')\n", " axes[0].set_title(r'True solution $u(x)$')\n", " axes[0].legend(loc=\"upper right\")\n", " # Plot 2\n", " axes[1].plot(x, pinn(x), label=r'$u_{\\theta}(x)$', color='green')\n", " axes[1].set_title(r'PINN solution $u_{\\theta}(x)$')\n", " axes[1].legend(loc=\"upper right\")\n", " # Plot 3\n", " diff = torch.abs(problem.truth_solution(x) - pinn(x))\n", " axes[2].plot(x, diff, label=r'$|u(x) - u_{\\theta}(x)|$', color='red')\n", " axes[2].set_title(r'Absolute difference $|u(x) - u_{\\theta}(x)|$')\n", " axes[2].legend(loc=\"upper right\")\n", " # Adjust layout\n", " plt.tight_layout()\n", " # Show the plots\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is pretty clear that the network is periodic, with also the error following a periodic pattern. Obviously a longer training and a more expressive neural network could improve the results!\n", "\n", "## What's next?\n", "\n", "Congratulations on completing the one dimensional Helmholtz tutorial of **PINA**! There are multiple directions you can go now:\n", "\n", "1. Train the network for longer or with different layer sizes and assert the finaly accuracy\n", "\n", "2. Apply the `PeriodicBoundaryEmbedding` layer for a time-dependent problem (see reference in the documentation)\n", "\n", "3. Exploit extrafeature training ?\n", "\n", "4. Many more..." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 2 }