Update tutorials 1 through 12 to current version 0.2
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Nicola Demo
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@@ -25,7 +25,7 @@
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# Let's start with useful imports.
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# In[ ]:
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# In[1]:
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## routine needed to run the notebook on Google Colab
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@@ -44,13 +44,12 @@ if IN_COLAB:
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import matplotlib.pyplot as plt
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plt.style.use('tableau-colorblind10')
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import torch
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from pytorch_lightning.callbacks import Callback
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from pina.problem import SpatialProblem, InverseProblem
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from pina.operators import laplacian
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from pina.operator import laplacian
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from pina.model import FeedForward
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from pina.equation import Equation, FixedValue
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from pina import Condition, Trainer
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from pina.solvers import PINN
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from pina.solver import PINN
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from pina.domain import CartesianDomain
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@@ -81,7 +80,7 @@ plt.show()
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# Then, we initialize the Poisson problem, that is inherited from the `SpatialProblem` and from the `InverseProblem` classes. We here have to define all the variables, and the domain where our unknown parameters ($\mu_1$, $\mu_2$) belong. Notice that the Laplace equation takes as inputs also the unknown variables, that will be treated as parameters that the neural network optimizes during the training process.
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# In[ ]:
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# In[4]:
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### Define ranges of variables
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@@ -148,12 +147,12 @@ model = FeedForward(
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# After that, we discretize the spatial domain.
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# In[ ]:
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# In[6]:
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problem.discretise_domain(20, 'grid', locations=['phys_cond'], variables=['x', 'y'])
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problem.discretise_domain(1000, 'random', locations=['bound_cond1', 'bound_cond2',
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'bound_cond3', 'bound_cond4'], variables=['x', 'y'])
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problem.discretise_domain(20, 'grid', domains=['phys_cond'])
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problem.discretise_domain(1000, 'random', domains=['bound_cond1', 'bound_cond2',
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'bound_cond3', 'bound_cond4'])
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# Here, we define a simple callback for the trainer. We use this callback to save the parameters predicted by the neural network during the training. The parameters are saved every 100 epochs as `torch` tensors in a specified directory (`tmp_dir` in our case).
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@@ -162,6 +161,7 @@ problem.discretise_domain(1000, 'random', locations=['bound_cond1', 'bound_cond2
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# In[7]:
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from lightning.pytorch.callbacks import Callback
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# temporary directory for saving logs of training
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tmp_dir = "tmp_poisson_inverse"
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@@ -176,15 +176,15 @@ class SaveParameters(Callback):
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# Then, we define the `PINN` object and train the solver using the `Trainer`.
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# In[ ]:
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# In[8]:
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### train the problem with PINN
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max_epochs = 5000
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pinn = PINN(problem, model, optimizer_kwargs={'lr':0.005})
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pinn = PINN(problem, model)
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# define the trainer for the solver
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trainer = Trainer(solver=pinn, accelerator='cpu', max_epochs=max_epochs,
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default_root_dir=tmp_dir, callbacks=[SaveParameters()])
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default_root_dir=tmp_dir, enable_model_summary=False, callbacks=[SaveParameters()])
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trainer.train()
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