Note
Go to the end to download the full example code.
A simple Darcy-Flow dataset
An intro to the small Darcy-Flow example dataset we ship with the package.
Import the library
We first import our neuralop library and required dependencies.
import matplotlib.pyplot as plt
from neuralop.data.datasets import load_darcy_flow_small
from neuralop.layers.embeddings import GridEmbedding2D
Load the dataset
Training samples are 16x16 and we load testing samples at both 16x16 and 32x32 (to test resolution invariance).
train_loader, test_loaders, data_processor = load_darcy_flow_small(
n_train=100, batch_size=4,
test_resolutions=[16, 32], n_tests=[50, 50], test_batch_sizes=[4, 2],
)
train_dataset = train_loader.dataset
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Loading test db for resolution 16 with 50 samples
Loading test db for resolution 32 with 50 samples
Visualizing the data
for res, test_loader in test_loaders.items():
print(res)
# Get first batch
batch = next(iter(test_loader))
x = batch['x']
y = batch['y']
print(f'Testing samples for res {res} have shape {x.shape[1:]}')
data = train_dataset[0]
x = data['x']
y = data['y']
print(f'Training samples have shape {x.shape[1:]}')
# Which sample to view
index = 0
data = train_dataset[index]
data = data_processor.preprocess(data, batched=False)
# The first step of the default FNO model is a grid-based
# positional embedding. We will add it manually here to
# visualize the channels appended by this embedding.
positional_embedding = GridEmbedding2D(in_channels=1)
# at train time, data will be collated with a batch dim.
# we create a batch dim to pass into the embedding, then re-squeeze
x = positional_embedding(data['x'].unsqueeze(0)).squeeze(0)
y = data['y']
fig = plt.figure(figsize=(7, 7))
ax = fig.add_subplot(2, 2, 1)
ax.imshow(x[0], cmap='gray')
ax.set_title('input x')
ax = fig.add_subplot(2, 2, 2)
ax.imshow(y.squeeze())
ax.set_title('input y')
ax = fig.add_subplot(2, 2, 3)
ax.imshow(x[1])
ax.set_title('x: 1st pos embedding')
ax = fig.add_subplot(2, 2, 4)
ax.imshow(x[2])
ax.set_title('x: 2nd pos embedding')
fig.suptitle('Visualizing one input sample', y=0.98)
plt.tight_layout()
fig.show()
16
Testing samples for res 16 have shape torch.Size([1, 16, 16])
32
Testing samples for res 32 have shape torch.Size([1, 32, 32])
Training samples have shape torch.Size([16, 16])
Total running time of the script: (0 minutes 7.009 seconds)