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PINA/tutorials/tutorial9/tutorial.ipynb
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{
"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 experts 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",
"import warnings\n",
"\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\n",
"\n",
"warnings.filterwarnings('ignore')"
]
},
{
"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, then we will look at the losses using the `MetricTracker` callback from `pina.callback`."
]
},
{
"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, 61.27it/s, v_num=19, phys_cond_loss=0.119, train_loss=0.119] "
]
},
{
"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, 45.48it/s, v_num=19, phys_cond_loss=0.119, train_loss=0.119]\n"
]
}
],
"source": [
"from pina.callback import MetricTracker\n",
"from pina.optim import TorchOptimizer\n",
"\n",
"pinn = PINN(problem=problem, model=model, optimizer=TorchOptimizer(torch.optim.Adam, lr=0.001))\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",
" logger=True,\n",
" callbacks=[MetricTracker()],\n",
" train_size=1.0,\n",
" val_size=0.0,\n",
" test_size=0.0)\n",
"trainer.train()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'train_loss': tensor([1.5764e+03, 1.5580e+03, 1.5398e+03, ..., 1.1945e-01, 1.1938e-01,\n",
" 1.1931e-01])}\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#plot loss\n",
"trainer_metrics = trainer.callbacks[0].metrics\n",
"print(trainer.callbacks[0].metrics)\n",
"loss = trainer_metrics['train_loss']\n",
"epochs = range(len(loss))\n",
"plt.plot(epochs, loss.cpu())\n",
"# plotting\n",
"plt.xlabel('epoch')\n",
"plt.ylabel('loss')\n",
"plt.yscale('log') "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are going to plot the solution now!"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7faa448e1820>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x800 with 1 Axes>"
]
},
"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": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1500x500 with 3 Axes>"
]
},
"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
}