358 lines
203 KiB
Plaintext
Vendored
358 lines
203 KiB
Plaintext
Vendored
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Tutorial: One dimensional Helmholtz equation using Periodic Boundary Conditions\n",
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"\n",
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"[](https://colab.research.google.com/github/mathLab/PINA/blob/master/tutorials/tutorial9/tutorial.ipynb)\n",
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"\n",
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"This tutorial presents how to solve with Physics-Informed Neural Networks (PINNs)\n",
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"a one dimensional Helmholtz equation with periodic boundary conditions (PBC).\n",
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"We will train with standard PINN's training by augmenting the input with\n",
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"periodic expansion as presented in [*An expert’s guide to training\n",
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"physics-informed neural networks*](\n",
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"https://arxiv.org/abs/2308.08468).\n",
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"\n",
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"First of all, some useful imports."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"## routine needed to run the notebook on Google Colab\n",
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"try:\n",
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" import google.colab\n",
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" IN_COLAB = True\n",
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"except:\n",
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" IN_COLAB = False\n",
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"if IN_COLAB:\n",
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" !pip install \"pina-mathlab\"\n",
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"\n",
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"import torch\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"from pina import Condition\n",
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"from pina.problem import SpatialProblem\n",
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"from pina.operator import laplacian\n",
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"from pina.model import FeedForward\n",
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"from pina.model.block import PeriodicBoundaryEmbedding # The PBC module\n",
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"from pina.solver import PINN\n",
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"from pina.trainer import Trainer\n",
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"from pina.domain import CartesianDomain\n",
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"from pina.equation import Equation"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## The problem definition\n",
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"\n",
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"The one-dimensional Helmholtz problem is mathematically written as:\n",
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"$$\n",
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"\\begin{cases}\n",
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"\\frac{d^2}{dx^2}u(x) - \\lambda u(x) -f(x) &= 0 \\quad x\\in(0,2)\\\\\n",
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"u^{(m)}(x=0) - u^{(m)}(x=2) &= 0 \\quad m\\in[0, 1, \\cdots]\\\\\n",
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"\\end{cases}\n",
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"$$\n",
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"In this case we are asking the solution to be $C^{\\infty}$ periodic with\n",
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"period $2$, on the infinite domain $x\\in(-\\infty, \\infty)$. Notice that the\n",
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"classical PINN would need infinite conditions to evaluate the PBC loss function,\n",
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"one for each derivative, which is of course infeasible... \n",
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"A possible solution, diverging from the original PINN formulation,\n",
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"is to use *coordinates augmentation*. In coordinates augmentation you seek for\n",
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"a coordinates transformation $v$ such that $x\\rightarrow v(x)$ such that\n",
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"the periodicity condition $ u^{(m)}(x=0) - u^{(m)}(x=2) = 0 \\quad m\\in[0, 1, \\cdots] $ is\n",
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"satisfied.\n",
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"\n",
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"For demonstration purposes, the problem specifics are $\\lambda=-10\\pi^2$,\n",
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"and $f(x)=-6\\pi^2\\sin(3\\pi x)\\cos(\\pi x)$ which give a solution that can be\n",
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"computed analytically $u(x) = \\sin(\\pi x)\\cos(3\\pi x)$."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"class Helmholtz(SpatialProblem):\n",
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" output_variables = ['u']\n",
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" spatial_domain = CartesianDomain({'x': [0, 2]})\n",
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"\n",
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" def Helmholtz_equation(input_, output_):\n",
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" x = input_.extract('x')\n",
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" u_xx = laplacian(output_, input_, components=['u'], d=['x'])\n",
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" f = - 6.*torch.pi**2 * torch.sin(3*torch.pi*x)*torch.cos(torch.pi*x)\n",
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" lambda_ = - 10. * torch.pi ** 2\n",
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" return u_xx - lambda_ * output_ - f\n",
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"\n",
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" # here we write the problem conditions\n",
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" conditions = {\n",
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" 'phys_cond': Condition(domain=spatial_domain,\n",
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" equation=Equation(Helmholtz_equation)),\n",
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" }\n",
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"\n",
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" def Helmholtz_sol(self, pts):\n",
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" return torch.sin(torch.pi * pts) * torch.cos(3. * torch.pi * pts)\n",
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" \n",
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" truth_solution = Helmholtz_sol\n",
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"\n",
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"problem = Helmholtz()\n",
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"\n",
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"# let's discretise the domain\n",
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"problem.discretise_domain(200, 'grid', domains=['phys_cond'])"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"As usual, the Helmholtz problem is written in **PINA** code as a class. \n",
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"The equations are written as `conditions` that should be satisfied in the\n",
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"corresponding domains. The `truth_solution`\n",
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"is the exact solution which will be compared with the predicted one. We used\n",
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"Latin Hypercube Sampling for choosing the collocation points."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Solving the problem with a Periodic Network"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Any $\\mathcal{C}^{\\infty}$ periodic function\n",
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"$u : \\mathbb{R} \\rightarrow \\mathbb{R}$ with period\n",
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"$L\\in\\mathbb{N}$ can be constructed by composition of an\n",
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"arbitrary smooth function $f : \\mathbb{R}^n \\rightarrow \\mathbb{R}$ and a\n",
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"given smooth periodic function $v : \\mathbb{R} \\rightarrow \\mathbb{R}^n$ with\n",
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"period $L$, that is $u(x) = f(v(x))$. The formulation is generalizable for\n",
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"arbitrary dimension, see [*A method for representing periodic functions and\n",
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"enforcing exactly periodic boundary conditions with\n",
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"deep neural networks*](https://arxiv.org/pdf/2007.07442).\n",
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"\n",
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"In our case, we rewrite\n",
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"$v(x) = \\left[1, \\cos\\left(\\frac{2\\pi}{L} x\\right),\n",
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"\\sin\\left(\\frac{2\\pi}{L} x\\right)\\right]$, i.e\n",
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"the coordinates augmentation, and $f(\\cdot) = NN_{\\theta}(\\cdot)$ i.e. a neural\n",
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"network. The resulting neural network obtained by composing $f$ with $v$ gives\n",
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"the PINN approximate solution, that is\n",
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"$u(x) \\approx u_{\\theta}(x)=NN_{\\theta}(v(x))$.\n",
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"\n",
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"In **PINA** this translates in using the `PeriodicBoundaryEmbedding` layer for $v$, and any\n",
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"`pina.model` for $NN_{\\theta}$. Let's see it in action! \n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"# we encapsulate all modules in a torch.nn.Sequential container\n",
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"model = torch.nn.Sequential(PeriodicBoundaryEmbedding(input_dimension=1,\n",
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" periods=2),\n",
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" FeedForward(input_dimensions=3, # output of PeriodicBoundaryEmbedding = 3 * input_dimension\n",
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" output_dimensions=1,\n",
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" layers=[10, 10]))"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"As simple as that! Notice that in higher dimension you can specify different periods\n",
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"for all dimensions using a dictionary, e.g. `periods={'x':2, 'y':3, ...}`\n",
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"would indicate a periodicity of $2$ in $x$, $3$ in $y$, and so on...\n",
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"\n",
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"We will now solve the problem as usually with the `PINN` and `Trainer` class."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"GPU available: False, used: False\n",
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"TPU available: False, using: 0 TPU cores\n",
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"HPU available: False, using: 0 HPUs\n"
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]
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Epoch 4999: 100%|██████████| 1/1 [00:00<00:00, 21.97it/s, v_num=8, val_loss=0.223, phys_cond_loss=0.0843, train_loss=0.0843] "
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]
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},
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"`Trainer.fit` stopped: `max_epochs=5000` reached.\n"
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]
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Epoch 4999: 100%|██████████| 1/1 [00:00<00:00, 19.05it/s, v_num=8, val_loss=0.223, phys_cond_loss=0.0843, train_loss=0.0843]\n"
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]
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}
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],
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"source": [
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"pinn = PINN(problem=problem, model=model)\n",
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"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",
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"trainer.train()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"We are going to plot the solution now!"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"<matplotlib.legend.Legend at 0x7f667a01a2a0>"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"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": 6,
|
||
"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
|
||
}
|