| import torch |
| import numpy as np |
| import matplotlib.pyplot as plt |
| from pathlib import Path |
| from Dataset import Dataset |
|
|
| |
| DEVICE = torch.device('cpu') |
|
|
| |
| plt.rcParams.update({'font.size': 14, |
| 'figure.figsize': (10, 8), |
| 'lines.linewidth': 2, |
| 'lines.markersize': 6, |
| 'axes.grid': True, |
| 'axes.labelsize': 16, |
| 'legend.fontsize': 14, |
| 'xtick.labelsize': 14, |
| 'ytick.labelsize': 14, |
| 'figure.autolayout': True |
| }) |
|
|
| def set_seed(seed=42): |
| np.random.seed(seed) |
| torch.manual_seed(seed) |
| if torch.cuda.is_available(): |
| torch.cuda.manual_seed_all(seed) |
|
|
| class NeuralNetwork(torch.nn.Module): |
| def __init__(self, layer_sizes, dropout_rate=0.0, activation=torch.nn.ReLU): |
| super(NeuralNetwork, self).__init__() |
|
|
| if dropout_rate > 0: |
| self.dropout_layer = torch.nn.Dropout(dropout_rate) |
|
|
| self.layer_sizes = layer_sizes |
| self.layers = torch.nn.ModuleList() |
| for i in range(len(layer_sizes) - 2): |
| self.layers.append(torch.nn.Linear(layer_sizes[i], layer_sizes[i + 1])) |
| self.layers.append(activation()) |
| self.layers.append(torch.nn.Linear(layer_sizes[-2], layer_sizes[-1])) |
|
|
| |
|
|
| self.init_weights() |
|
|
| def init_weights(self): |
| for layer in self.layers: |
| if isinstance(layer, torch.nn.Linear): |
| torch.nn.init.xavier_normal_(layer.weight) |
| layer.bias.data.fill_(0.0) |
|
|
| def forward(self, x, train=True): |
| for layer in self.layers: |
| x = layer(x) |
| if train and hasattr(self, 'dropout_layer'): |
| x = self.dropout_layer(x) |
|
|
| return x |
| |
| def predict(self, x, train=False): |
| self.eval() |
| with torch.no_grad(): |
| return self.forward(x, train) |
|
|
| def train_neural_network(model, inputs, outputs, optimizer, epochs=1000, lr_scheduler=None): |
| model.train() |
| for epoch in range(epochs): |
| optimizer.zero_grad() |
| predictions = model(inputs) |
| loss = torch.mean(torch.square(predictions - outputs)) |
| loss.backward() |
| optimizer.step() |
|
|
| if lr_scheduler: |
| lr_scheduler.step() |
|
|
| if epoch % 100 == 0: |
| print(f'Epoch {epoch}, Loss: {loss.item()}, Learning Rate: {optimizer.param_groups[0]["lr"]}') |
|
|
|
|
| def load_model(model_path): |
| checkpoint = torch.load(model_path, map_location=DEVICE) |
| model_config = checkpoint['model_config'] |
| model = NeuralNetwork(model_config['layer_sizes'], dropout_rate=model_config['dropout_rate']) |
| model.load_state_dict(checkpoint['model_state_dict']) |
| print(f"Model loaded from {model_path}") |
|
|
| model.to(DEVICE) |
| model.eval() |
| return model |
|
|
| def inverse_design(material, ply_number, fiber_vf, y_target, n_restarts=10, epochs=100, use_lbfgs=False): |
| model_path = Path(__file__).resolve().parent / "model_checkpoint.pth" |
| model = load_model(str(model_path)) |
|
|
| data = Dataset() |
| mat_type = data.materials_map.get(material, 0.0) |
| y_target_norm = data.normalize_output(y_target) |
| y_target_tensor = torch.tensor(y_target, dtype=torch.float32) |
| input_mean = torch.tensor(data.input_mean) |
| input_std = torch.tensor(data.input_std) |
| output_mean = torch.tensor(data.output_mean) |
| output_std = torch.tensor(data.output_std) |
|
|
| |
| weights = torch.tensor([1.0, 1.0, 1.0, 0.5], dtype=torch.float32) |
| bounds = torch.tensor([[50., 600.], [50., 600.], [50., 600.]], dtype=torch.float32) |
| best = {"loss": float('inf'), "input": None, "output": None} |
|
|
| for restart in range(n_restarts): |
| z = torch.randn(3, requires_grad=True) |
|
|
| if use_lbfgs: |
| optimizer = torch.optim.LBFGS([z], lr=0.1, max_iter=epochs, line_search_fn="strong_wolfe") |
| steps = 1 |
| else: |
| |
| |
| |
| optimizer = torch.optim.SGD([z], lr=0.01, momentum=0.9) |
| steps = epochs |
| |
| for step in range(steps): |
| def closure(): |
| var = bounds[:, 0] + (bounds[:, 1] - bounds[:, 0]) * torch.sigmoid(z) |
| optimizer.zero_grad() |
| input_raw = torch.cat([torch.tensor([mat_type, ply_number, fiber_vf]), var]).unsqueeze(0) |
| input_norm = (input_raw - input_mean) / input_std |
| output_pred = model(input_norm, train=False) |
| output_pred = (output_pred * output_std) + output_mean |
| loss = torch.sum(weights * (output_pred - y_target_tensor) ** 2) |
| loss.backward() |
| return loss |
|
|
| if use_lbfgs: |
| loss = optimizer.step(closure) |
| else: |
| loss = closure() |
| optimizer.step() |
|
|
| if (step + 1) % 200 == 0: |
| print(f'Restart {restart + 1}, Step {step + 1}, Loss: {loss.item():.6f}, grad: {z.grad.norm().item():.6f}') |
| |
| with torch.no_grad(): |
| var = bounds[:, 0] + (bounds[:, 1] - bounds[:, 0]) * torch.sigmoid(z) |
| input_raw = torch.cat([torch.tensor([mat_type, ply_number, fiber_vf]), var]) |
| input_norm = (input_raw - input_mean) / input_std |
| output_pred = model.predict(input_norm) |
| output_pred = data.denormalize_output(output_pred.numpy()) |
| final_loss = np.sum(weights.numpy() * (output_pred - y_target) ** 2).item() |
| if final_loss < best["loss"]: |
| best["loss"] = final_loss |
| best["input"] = var.detach().cpu().numpy() |
| best["output"] = output_pred |
|
|
| return best |
|
|
|
|
| def inverse_model(): |
| set_seed(5324) |
| dataset = Dataset(inverse=True) |
| inputs, outputs = dataset.get_input(normalize=True), dataset.get_output(normalize=True) |
|
|
| idx_train = np.random.choice(len(inputs), size=int(0.85 * len(inputs)), replace=False) |
| idx_test = np.setdiff1d(np.arange(len(inputs)), idx_train) |
|
|
| inputs_train = torch.tensor(inputs[idx_train], dtype=torch.float32).to(DEVICE) |
| outputs_train = torch.tensor(outputs[idx_train], dtype=torch.float32).to(DEVICE) |
|
|
| inputs_test = torch.tensor(inputs[idx_test], dtype=torch.float32).to(DEVICE) |
| outputs_test = torch.tensor(outputs[idx_test], dtype=torch.float32).to(DEVICE) |
| |
| layer_sizes = [inputs.shape[1]] + [64] * 4 + [outputs.shape[1]] |
| dropout_rate =0.05 |
| model = NeuralNetwork(layer_sizes, dropout_rate=dropout_rate, activation=torch.nn.ReLU).to(DEVICE) |
| optimizer = torch.optim.Adam(model.parameters(), lr=0.001) |
| lr_scheduler = torch.optim.lr_scheduler.StepLR(optimizer, step_size=5000, gamma=0.9) |
|
|
| |
| train_dataset = torch.utils.data.TensorDataset(inputs_train, outputs_train) |
| train_loader = torch.utils.data.DataLoader(train_dataset, batch_size=16, shuffle=True) |
|
|
| |
| epochs = 20000 |
| for epoch in range(epochs): |
| model.train() |
| for inputs_batch, outputs_batch in train_loader: |
| inputs_batch = inputs_batch.to(DEVICE) |
| outputs_batch = outputs_batch.to(DEVICE) |
| optimizer.zero_grad() |
| predictions = model(inputs_batch) |
| loss = torch.mean(torch.square(predictions - outputs_batch)) |
| loss.backward() |
| optimizer.step() |
|
|
| if lr_scheduler: |
| lr_scheduler.step() |
|
|
| if epoch % 500 == 0: |
| train_pred = model(inputs_train) |
| train_loss = torch.mean(torch.square(train_pred - outputs_train)) |
| test_pred = model(inputs_test) |
| test_loss = torch.mean(torch.square(test_pred - outputs_test)) |
| print(f'Epoch {epoch}, Train Loss: {train_loss.item():.6f}, Test Loss: {test_loss.item():.6f}') |
| |
|
|
|
|
| predictions = model.predict(inputs_test) |
| test_loss = torch.mean(torch.square(predictions - outputs_test)) |
| print(f'Test Loss: {test_loss.item()}. Samples: {idx_test}') |
|
|
| x = np.arange(0, len(idx_test)) |
|
|
| outputs_test = dataset.denormalize_output(outputs_test.cpu().numpy()) |
| predictions = dataset.denormalize_output(predictions.cpu().numpy()) |
| |
| |
| plt.figure(figsize=(10, 6)) |
| plt.plot(x, outputs_test[:, 0], color='b', linestyle='--', label='True Initial Temp') |
| plt.plot(x, predictions[:, 0], color='b', linestyle='-', label='Predicted Initial Temp') |
| plt.plot(x, outputs_test[:, 1], color='r', linestyle='--', label='True Punch Velocity') |
| plt.plot(x, predictions[:, 1], color='r', linestyle='-', label='Predicted Punch Velocity') |
| plt.plot(x, outputs_test[:, 2], color='g', linestyle='--', label='True Cooling Time') |
| plt.plot(x, predictions[:, 2], color='g', linestyle='-', label='Predicted Cooling Time') |
| plt.gca().xaxis.set_major_locator(plt.MaxNLocator(integer=True)) |
| plt.xlabel('Sample Index') |
| plt.xticks(ticks=range(len(idx_test)),labels=idx_test + 1) |
| plt.ylabel('Processing Parameters') |
| plt.legend(loc='upper right') |
| plt.savefig('inverse_design.png') |
|
|
| |
| mse = np.mean((predictions - outputs_test) ** 2, axis=0) |
| print(f'Mean Squared Error for Initial Temp: {mse[0]:.6f}, Punch Velocity: {mse[1]:.6f}, Cooling Time: {mse[2]:.6f}') |
|
|
| |
| ss_ress = np.sum((outputs_test - predictions) ** 2, axis=0) |
| ss_tots = np.sum((outputs_test - np.mean(outputs_test, axis=0)) ** 2, axis=0) |
| r2_scores = 1 - ss_ress / ss_tots |
| print(f'R² Score for Initial Temp: {r2_scores[0]:.6f}, Punch Velocity: {r2_scores[1]:.6f}, Cooling Time: {r2_scores[2]:.6f}') |
|
|
| |
|
|
| |
| model_save_path = './model_inverse_ckpt.pth' |
| model_config = {'layer_sizes': layer_sizes, |
| 'dropout_rate': dropout_rate |
| } |
| checkpoint = { |
| 'model_state_dict': model.state_dict(), |
| 'model_config': model_config |
| } |
| torch.save(checkpoint, model_save_path) |
|
|
|
|
| if __name__ == "__main__": |
| |
| |
|
|
| |
| import time |
| start_time = time.time() |
| |
| |
| best = inverse_design(material='CF/PA6', ply_number=6, fiber_vf=0.092, y_target=np.array([0.60, 0.92, 2.01, 177.0]), n_restarts=50, epochs=100, use_lbfgs=True) |
| end_time = time.time() |
| time_elapsed = (end_time - start_time) |
| print(f"Inverse design completed in {time_elapsed:.2f} seconds.") |
| print("Best Input:", best["input"]) |
| print("Best Output:", best["output"]) |
| |
|
|