try a new model
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@@ -122,10 +122,11 @@ class GraphDataModule(LightningDataModule):
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edge_index_mask = ~torch.isin(edge_index[1], boundary_idx)
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edge_index = edge_index[:, edge_index_mask]
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edge_attr = pos[edge_index[0]] - pos[edge_index[1]]
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edge_attr = torch.cat(
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[edge_attr, torch.norm(edge_attr, dim=1).unsqueeze(-1)], dim=1
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)
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# edge_attr = pos[edge_index[0]] - pos[edge_index[1]]
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# edge_attr = torch.cat(
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# [edge_attr, torch.norm(edge_attr, dim=1).unsqueeze(-1)], dim=1
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# )
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edge_attr = torch.norm(pos[edge_index[0]] - pos[edge_index[1]], dim=1)
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x = torch.zeros_like(temperature, dtype=torch.float32).unsqueeze(-1)
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if self.remove_boundary_edges:
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@@ -75,9 +75,6 @@ class GraphSolver(LightningModule):
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def _compute_loss(self, x, y):
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return self.loss(x, y)
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def _preprocess_batch(self, batch: Batch):
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return batch.x, batch.y, batch.c, batch.edge_index, batch.edge_attr
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def _log_loss(self, loss, batch, stage: str):
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self.log(
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f"{stage}/loss",
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@@ -115,19 +112,25 @@ class GraphSolver(LightningModule):
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self.manual_backward(loss / max_acc_iters)
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return loss_.item()
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def _preprocess_batch(self, batch: Batch):
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x, y, c, edge_index, edge_attr = (
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batch.x,
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batch.y,
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batch.c,
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batch.edge_index,
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batch.edge_attr,
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)
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edge_attr = 1 / edge_attr
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c_ij = self._compute_c_ij(c, edge_index)
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edge_attr = edge_attr * c_ij
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return x, y, edge_index, edge_attr
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def training_step(self, batch: Batch, batch_idx: int):
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optim = self.optimizers()
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optim.zero_grad()
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x, y, c, edge_index, edge_attr = self._preprocess_batch(batch)
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x, y, edge_index, edge_attr = self._preprocess_batch(batch)
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edge_w = 1 / edge_attr[:, -1]
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c_ij = self._compute_c_ij(c, edge_index)
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edge_w = edge_w * c_ij
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deg = self._compute_deg(edge_index, edge_w, x.size(0))
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edge_attr = torch.cat(
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[edge_attr, edge_w.unsqueeze(-1), c_ij.unsqueeze(-1)], dim=1
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)
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deg = self._compute_deg(edge_index, edge_attr, x.size(0))
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losses = []
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acc_loss, acc_it = 0, 0
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max_acc_iters = (
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@@ -139,7 +142,7 @@ class GraphSolver(LightningModule):
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out = self._compute_model_steps(
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x,
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edge_index,
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edge_attr,
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edge_attr.unsqueeze(-1),
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deg,
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batch.boundary_mask,
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batch.boundary_values,
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@@ -199,21 +202,15 @@ class GraphSolver(LightningModule):
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return super().on_train_epoch_end()
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def validation_step(self, batch: Batch, _):
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x, y, c, edge_index, edge_attr = self._preprocess_batch(batch)
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x, y, edge_index, edge_attr = self._preprocess_batch(batch)
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edge_w = 1 / edge_attr[:, -1]
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c_ij = self._compute_c_ij(c, edge_index)
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edge_w = edge_w * c_ij
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deg = self._compute_deg(edge_index, edge_w, x.size(0))
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deg = self._compute_deg(edge_index, edge_attr, x.size(0))
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edge_attr = torch.cat(
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[edge_attr, edge_w.unsqueeze(-1), c_ij.unsqueeze(-1)], dim=1
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)
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for i in range(self.current_iters):
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out = self._compute_model_steps(
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x,
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edge_index,
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edge_attr,
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edge_attr.unsqueeze(-1),
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deg,
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batch.boundary_mask,
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batch.boundary_values,
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@@ -252,20 +249,15 @@ class GraphSolver(LightningModule):
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# loss = self._compute_loss(y_pred, y)
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# # _plot_mesh(batch.pos, y, y_pred, batch.batch)
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# self._log_loss(loss, batch, "test")
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x, y, c, edge_index, edge_attr = self._preprocess_batch(batch)
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edge_w = 1 / edge_attr[:, -1]
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c_ij = self._compute_c_ij(c, edge_index)
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edge_w = edge_w * c_ij
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deg = self._compute_deg(edge_index, edge_w, x.size(0))
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x, y, edge_index, edge_attr = self._preprocess_batch(batch)
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deg = self._compute_deg(edge_index, edge_attr, x.size(0))
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edge_attr = torch.cat(
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[edge_attr, edge_w.unsqueeze(-1), c_ij.unsqueeze(-1)], dim=1
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)
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for i in range(self.max_iters):
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out = self._compute_model_steps(
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x,
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edge_index,
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edge_attr,
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edge_attr.unsqueeze(-1),
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deg,
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batch.boundary_mask,
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batch.boundary_values,
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@@ -278,7 +270,6 @@ class GraphSolver(LightningModule):
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loss = self.loss(out, y)
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self._log_loss(loss, batch, "test")
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x = u
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self.log(
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"test/iterations",
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i + 1,
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@@ -2,40 +2,6 @@ import torch
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import torch.nn as nn
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from torch_geometric.nn import MessagePassing
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from torch.nn.utils import spectral_norm
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from matplotlib.tri import Triangulation
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from matplotlib import pyplot as plt
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def _plot_mesh(y_pred, batch, iteration=None):
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idx = batch.batch == 0
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y = batch.y[idx].detach().cpu()
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y_pred = y_pred[idx].detach().cpu()
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pos = batch.pos[idx].detach().cpu()
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pos = pos.detach().cpu()
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tria = Triangulation(pos[:, 0], pos[:, 1])
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plt.figure(figsize=(18, 5))
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plt.subplot(1, 3, 1)
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plt.tricontourf(tria, y.squeeze().numpy(), levels=14)
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plt.colorbar()
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plt.title("True temperature")
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plt.subplot(1, 3, 2)
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plt.tricontourf(tria, y_pred.squeeze().numpy(), levels=14)
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plt.colorbar()
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plt.title("Predicted temperature")
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plt.subplot(1, 3, 3)
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plt.tricontourf(tria, torch.abs(y_pred - y).squeeze().numpy(), levels=14)
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plt.colorbar()
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plt.title("Error")
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plt.suptitle("GNO", fontsize=16)
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name = (
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f"images/gno_iter_{iteration:04d}.png"
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if iteration is not None
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else "gno.png"
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)
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plt.savefig(name, dpi=72)
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plt.close()
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class FiniteDifferenceStep(MessagePassing):
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@@ -51,28 +17,12 @@ class FiniteDifferenceStep(MessagePassing):
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spectral_norm(nn.Linear(hidden_dim // 2, hidden_dim)),
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)
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self.edge_embedding = nn.Sequential(
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spectral_norm(nn.Linear(edge_ch, hidden_dim // 2)),
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nn.GELU(),
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spectral_norm(nn.Linear(hidden_dim // 2, hidden_dim)),
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)
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self.update_net = nn.Sequential(
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spectral_norm(nn.Linear(2 * hidden_dim, hidden_dim)),
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nn.GELU(),
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spectral_norm(nn.Linear(hidden_dim, hidden_dim)),
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nn.GELU(),
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# spectral_norm(nn.Linear(hidden_dim // 2, 1)),
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)
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# self.message_net = nn.Sequential(
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# spectral_norm(nn.Linear(2 * hidden_dim, hidden_dim)),
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# nn.GELU(),
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# spectral_norm(nn.Linear(hidden_dim, hidden_dim // 2)),
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# nn.GELU(),
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# spectral_norm(nn.Linear(hidden_dim // 2, hidden_dim)),
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# )
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self.out_net = nn.Sequential(
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spectral_norm(nn.Linear(hidden_dim, hidden_dim // 2)),
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nn.GELU(),
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@@ -84,17 +34,14 @@ class FiniteDifferenceStep(MessagePassing):
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TODO: add docstring.
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"""
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x_ = self.x_embedding(x)
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edge_attr_ = self.edge_embedding(edge_attr)
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out = self.propagate(edge_index, x=x_, edge_attr=edge_attr_, deg=deg)
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out = self.propagate(edge_index, x=x_, edge_attr=edge_attr, deg=deg)
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return self.out_net(x_ + out)
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def message(self, x_j, edge_attr):
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def message(self, x_i, x_j, edge_attr):
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"""
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TODO: add docstring.
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"""
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# msg_input = torch.cat([x_j, edge_attr], dim=-1)
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# return self.message_net(msg_input) * edge_attr[:, 3].view(-1, 1)
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return x_j * edge_attr
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return (x_j - x_i) * edge_attr.view(-1, 1)
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def update(self, aggr_out, x):
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"""
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@@ -102,10 +49,6 @@ class FiniteDifferenceStep(MessagePassing):
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"""
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update_input = torch.cat([x, aggr_out], dim=-1)
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return self.update_net(update_input)
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# return self.update_net(aggr_out)
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# return aggr_out
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# h = self.update_net(aggr_out, x)
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# return h
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def aggregate(self, inputs, index, deg):
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"""
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@@ -114,13 +57,3 @@ class FiniteDifferenceStep(MessagePassing):
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out = super().aggregate(inputs, index)
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deg = deg + 1e-7
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return out / deg.view(-1, 1)
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# # Da fare:
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# # - Finire calcolo della loss su ogni step e poi media
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# # - Test con vari modelli
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# # - Se non dovesse funzionare, provare ad adeguare il criterio di uscita
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# # PINN batching:
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# # - Provare singola condizione
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# # - Ottimizzatore del secondo ordine (LBFGS)
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