Github action: auto-update.

Author: github-actions[bot]

dev/_downloads/07fcc19ba03226cd3d83d4e40ec44385/auto_examples_python.zip

@@ -4,7 +4,7 @@
       "cell_type": "markdown",
       "metadata": {},
       "source": [
-        "\n# Training a neural operator on Darcy-Flow - Author Robert Joseph George\nIn this example, we demonstrate how to use the small Darcy-Flow example we ship with the package on Incremental FNO and Incremental Resolution\n"
+        "\n# Training an FNO with incremental meta-learning\nIn this example, we demonstrate how to use the small Darcy-Flow \nexample we ship with the package to demonstrate the Incremental FNO\nmeta-learning algorithm\n"
       ]
     },
     {

dev/_downloads/082e73328a5caf8c1fe9ad7fe05cf68f/plot_incremental_FNO_darcy.ipynb

@@ -1,19 +1,21 @@
 """
-Training a TFNO on Darcy-Flow
+Training an FNO on Darcy-Flow
 =============================
 
-In this example, we demonstrate how to use the small Darcy-Flow example we ship with the package
-to train a Tensorized Fourier-Neural Operator
+In this example, we demonstrate how to use the small `Darcy-Flow example <../auto_examples/plot_darcy_flow.html>`_ we ship with the package
+to train a Fourier Neural Operator. 
+
+Note that this dataset is much smaller than one we would use in practice. The small Darcy-flow is an example built to
+be trained on a CPU in a few seconds, whereas normally we would train on one or multiple GPUs. 
 """
 
 # %%
 # 
 
-
 import torch
 import matplotlib.pyplot as plt
 import sys
-from neuralop.models import TFNO
+from neuralop.models import FNO
 from neuralop import Trainer
 from neuralop.training import AdamW
 from neuralop.data.datasets import load_darcy_flow_small
@@ -24,7 +26,7 @@
 
 
 # %%
-# Loading the Navier-Stokes dataset in 128x128 resolution
+# Let's load the small Darcy-flow dataset. 
 train_loader, test_loaders, data_processor = load_darcy_flow_small(
         n_train=1000, batch_size=32, 
         test_resolutions=[16, 32], n_tests=[100, 50],
@@ -34,15 +36,22 @@
 
 
 # %%
-# We create a tensorized FNO model
+# We create a simple FNO model
 
-model = TFNO(n_modes=(16, 16), in_channels=1, hidden_channels=32, projection_channels=64, factorization='tucker', rank=0.42)
+model = FNO(n_modes=(16, 16),
+             in_channels=1, 
+             out_channels=1,
+             hidden_channels=32, 
+             projection_channel_ratio=2)
 model = model.to(device)
 
 n_params = count_model_params(model)
 print(f'\nOur model has {n_params} parameters.')
 sys.stdout.flush()
 
+# %%
+# Training setup
+# ----------------
 
 # %%
 #Create the optimizer
@@ -53,7 +62,7 @@
 
 
 # %%
-# Creating the losses
+# Then create the losses
 l2loss = LpLoss(d=2, p=2)
 h1loss = H1Loss(d=2)
 
@@ -62,7 +71,8 @@
 
 
 # %%
-
+# Training the model
+# ---------------------
 
 print('\n### MODEL ###\n', model)
 print('\n### OPTIMIZER ###\n', optimizer)
@@ -74,7 +84,7 @@
 
 
 # %% 
-# Create the trainer
+# Create the trainer:
 trainer = Trainer(model=model, n_epochs=20,
                   device=device,
                   data_processor=data_processor,
@@ -85,7 +95,7 @@
 
 
 # %%
-# Actually train the model on our small Darcy-Flow dataset
+# Then train the model on our small Darcy-Flow dataset:
 
 trainer.train(train_loader=train_loader,
               test_loaders=test_loaders,
@@ -95,18 +105,61 @@
               training_loss=train_loss,
               eval_losses=eval_losses)
 
+# %%
+# .. plot_preds :
+# Visualizing predictions
+# ------------------------
+# Let's take a look at what our model's predicted outputs look like. 
+# Again note that in this example, we train on a very small resolution for
+# a very small number of epochs.
+# In practice, we would train at a larger resolution, on many more samples.
+
+test_samples = test_loaders[16].dataset
+
+fig = plt.figure(figsize=(7, 7))
+for index in range(3):
+    data = test_samples[index]
+    data = data_processor.preprocess(data, batched=False)
+    # Input x
+    x = data['x']
+    # Ground-truth
+    y = data['y']
+    # Model prediction
+    out = model(x.unsqueeze(0))
+
+    ax = fig.add_subplot(3, 3, index*3 + 1)
+    ax.imshow(x[0], cmap='gray')
+    if index == 0: 
+        ax.set_title('Input x')
+    plt.xticks([], [])
+    plt.yticks([], [])
+
+    ax = fig.add_subplot(3, 3, index*3 + 2)
+    ax.imshow(y.squeeze())
+    if index == 0: 
+        ax.set_title('Ground-truth y')
+    plt.xticks([], [])
+    plt.yticks([], [])
+
+    ax = fig.add_subplot(3, 3, index*3 + 3)
+    ax.imshow(out.squeeze().detach().numpy())
+    if index == 0: 
+        ax.set_title('Model prediction')
+    plt.xticks([], [])
+    plt.yticks([], [])
+
+fig.suptitle('Inputs, ground-truth output and prediction (16x16).', y=0.98)
+plt.tight_layout()
+fig.show()
+
 
 # %%
-# Plot the prediction, and compare with the ground-truth 
-# Note that we trained on a very small resolution for
-# a very small number of epochs
-# In practice, we would train at larger resolution, on many more samples.
-# 
-# However, for practicity, we created a minimal example that
-# i) fits in just a few Mb of memory
-# ii) can be trained quickly on CPU
-#
-# In practice we would train a Neural Operator on one or multiple GPUs
+# .. zero_shot :
+# Zero-shot super-evaluation
+# ---------------------------
+# In addition to training and making predictions on the same input size, 
+# the FNO's invariance to the discretization of input data means we 
+# can natively make predictions on higher-resolution inputs and get higher-resolution outputs.
 
 test_samples = test_loaders[32].dataset
 
@@ -142,6 +195,18 @@
     plt.xticks([], [])
     plt.yticks([], [])
 
-fig.suptitle('Inputs, ground-truth output and prediction.', y=0.98)
+fig.suptitle('Inputs, ground-truth output and prediction (32x32).', y=0.98)
 plt.tight_layout()
 fig.show()
+
+# %%
+# We only trained the model on data at a resolution of 16x16, and with no modifications 
+# or special prompting, we were able to perform inference on higher-resolution input data 
+# and get higher-resolution predictions! In practice, we often want to evaluate neural operators
+# at multiple resolutions to track a model's zero-shot super-evaluation performance throughout 
+# training. That's why many of our datasets, including the small Darcy-flow we showcased,
+# are parameterized with a list of `test_resolutions` to choose from. 
+#
+# However, as you can see, these predictions are noisier than we would expect for a model evaluated 
+# at the same resolution at which it was trained. Leveraging the FNO's discretization-invariance, there
+# are other ways to scale the outputs of the FNO to train a true super-resolution capability. 

dev/_downloads/0d78e075dd52a34e158d7f5f710dfe89/plot_incremental_FNO_darcy.zip

@@ -1,17 +1,16 @@
 """
-Training a TFNO on Darcy-Flow
-=============================
+Checkpointing and loading training states
+=========================================
 
-In this example, we demonstrate how to use the small Darcy-Flow example we ship with the package
-to train a Tensorized Fourier-Neural Operator
+In this example, we demonstrate the Trainer's saving and loading functionality, which makes it easy to checkpoint and resume training states. 
 """
 
 # %%
 # 
 import torch
 import matplotlib.pyplot as plt
 import sys
-from neuralop.models import TFNO
+from neuralop.models import FNO
 from neuralop import Trainer
 from neuralop.training import AdamW
 from neuralop.data.datasets import load_darcy_flow_small
@@ -31,9 +30,16 @@
 
 
 # %%
-# We create a tensorized FNO model
+# We create an FNO model
+
+model = FNO(n_modes=(16, 16),
+             in_channels=1, 
+             out_channels=1, 
+             hidden_channels=32, 
+             projection_channel_ratio=2, 
+             factorization='tucker', 
+             rank=0.42)
 
-model = TFNO(n_modes=(16, 16), in_channels=1, hidden_channels=32, projection_channels=64, factorization='tucker', rank=0.42)
 model = model.to(device)
 
 n_params = count_model_params(model)
@@ -94,6 +100,7 @@
               save_dir="./checkpoints")
 
 
+# .. resume_from_dir:
 # resume training from saved checkpoint at epoch 10
 
 trainer = Trainer(model=model, n_epochs=20,

dev/_downloads/1a3050d57a180b92b424ce128dfe1d36/plot_FNO_darcy.py

@@ -4,7 +4,7 @@
       "cell_type": "markdown",
       "metadata": {},
       "source": [
-        "\n# Training a TFNO on Darcy-Flow\n\nIn this example, we demonstrate how to use the small Darcy-Flow example we ship with the package\nto train a Tensorized Fourier-Neural Operator\n"
+        "\n# Checkpointing and loading training states\n\nIn this example, we demonstrate the Trainer's saving and loading functionality, which makes it easy to checkpoint and resume training states. \n"
       ]
     },
     {
@@ -15,7 +15,7 @@
       },
       "outputs": [],
       "source": [
-        "import torch\nimport matplotlib.pyplot as plt\nimport sys\nfrom neuralop.models import TFNO\nfrom neuralop import Trainer\nfrom neuralop.training import AdamW\nfrom neuralop.data.datasets import load_darcy_flow_small\nfrom neuralop.utils import count_model_params\nfrom neuralop import LpLoss, H1Loss\n\ndevice = 'cpu'"
+        "import torch\nimport matplotlib.pyplot as plt\nimport sys\nfrom neuralop.models import FNO\nfrom neuralop import Trainer\nfrom neuralop.training import AdamW\nfrom neuralop.data.datasets import load_darcy_flow_small\nfrom neuralop.utils import count_model_params\nfrom neuralop import LpLoss, H1Loss\n\ndevice = 'cpu'"
       ]
     },
     {
@@ -40,7 +40,7 @@
       "cell_type": "markdown",
       "metadata": {},
       "source": [
-        "We create a tensorized FNO model\n\n"
+        "We create an FNO model\n\n"
       ]
     },
     {
@@ -51,7 +51,7 @@
       },
       "outputs": [],
       "source": [
-        "model = TFNO(n_modes=(16, 16), in_channels=1, hidden_channels=32, projection_channels=64, factorization='tucker', rank=0.42)\nmodel = model.to(device)\n\nn_params = count_model_params(model)\nprint(f'\\nOur model has {n_params} parameters.')\nsys.stdout.flush()"
+        "model = FNO(n_modes=(16, 16),\n             in_channels=1, \n             out_channels=1, \n             hidden_channels=32, \n             projection_channel_ratio=2, \n             factorization='tucker', \n             rank=0.42)\n\nmodel = model.to(device)\n\nn_params = count_model_params(model)\nprint(f'\\nOur model has {n_params} parameters.')\nsys.stdout.flush()"
       ]
     },
     {
@@ -134,7 +134,7 @@
       },
       "outputs": [],
       "source": [
-        "trainer.train(train_loader=train_loader,\n              test_loaders={},\n              optimizer=optimizer,\n              scheduler=scheduler, \n              regularizer=False, \n              training_loss=train_loss, \n              save_every=1,\n              save_dir=\"./checkpoints\")\n\n\n# resume training from saved checkpoint at epoch 10\n\ntrainer = Trainer(model=model, n_epochs=20,\n                  device=device,\n                  data_processor=data_processor,\n                  wandb_log=False,\n                  eval_interval=3,\n                  use_distributed=False,\n                  verbose=True)\n\ntrainer.train(train_loader=train_loader,\n              test_loaders={},\n              optimizer=optimizer,\n              scheduler=scheduler, \n              regularizer=False, \n              training_loss=train_loss,\n              resume_from_dir=\"./checkpoints\")"
+        "trainer.train(train_loader=train_loader,\n              test_loaders={},\n              optimizer=optimizer,\n              scheduler=scheduler, \n              regularizer=False, \n              training_loss=train_loss, \n              save_every=1,\n              save_dir=\"./checkpoints\")\n\n\n# .. resume_from_dir:\n# resume training from saved checkpoint at epoch 10\n\ntrainer = Trainer(model=model, n_epochs=20,\n                  device=device,\n                  data_processor=data_processor,\n                  wandb_log=False,\n                  eval_interval=3,\n                  use_distributed=False,\n                  verbose=True)\n\ntrainer.train(train_loader=train_loader,\n              test_loaders={},\n              optimizer=optimizer,\n              scheduler=scheduler, \n              regularizer=False, \n              training_loss=train_loss,\n              resume_from_dir=\"./checkpoints\")"
       ]
     }
   ],