| from __future__ import annotations |
|
|
| import sys |
| import time |
| from pathlib import Path |
|
|
| import numpy as np |
| import torch |
|
|
|
|
| PROJECT_ROOT = Path(__file__).resolve().parents[1] |
| sys.path.insert(0, str(PROJECT_ROOT)) |
| sys.path.insert(0, str(Path(__file__).resolve().parent)) |
|
|
| from common import ( |
| load_config, |
| project_path, |
| relative_l2, |
| resolve_device, |
| resolve_dtype, |
| seed_everything, |
| ) |
| from data_utils import batched_predict, load_allen_cahn, sample_training_data |
| from model.fpinn import build_model, loss_components, weighted_loss |
|
|
|
|
| DEFAULT_CONFIG = PROJECT_ROOT / "conf" / "config.yaml" |
| TASKS = ("forward", "inverse") |
|
|
|
|
| def main() -> None: |
| config_path = DEFAULT_CONFIG.resolve() |
| config = load_config(config_path) |
| common = config["common"] |
| task = str(common["task"]).lower() |
| if task not in TASKS: |
| raise ValueError("common.task must be one of: forward, inverse") |
| task_config = config["tasks"][task] |
| device = resolve_device(str(common["device"])) |
| dtype = resolve_dtype(str(common["dtype"])) |
| seed = int(common["seed"]) |
| epochs = int(task_config["training"]["epochs"]) |
| lbfgs_iters = int(task_config["training"]["lbfgs_iters"]) |
| learning_rate = float(task_config["training"]["lr"]) |
| if min(epochs, lbfgs_iters) < 0 or epochs + lbfgs_iters == 0: |
| raise ValueError("at least one optimizer iteration count must be positive") |
| if learning_rate <= 0: |
| raise ValueError("learning rate must be positive") |
|
|
| data_config = dict(config["data"]) |
| data_path = project_path(data_config["mat_file"], PROJECT_ROOT) |
| weight_dir = project_path(common["weight_dir"], PROJECT_ROOT) |
| result_dir = project_path(common["result_dir"], PROJECT_ROOT) |
| checkpoint_path = weight_dir / task_config["output"]["checkpoint_name"] |
| history_path = result_dir / task_config["output"]["history_name"] |
| seed_everything(seed) |
|
|
| dataset = load_allen_cahn(data_path) |
| x_train, u_train = sample_training_data( |
| dataset, |
| int(data_config["n_train"]), |
| seed, |
| device, |
| dtype, |
| ) |
| model = build_model(task, config["model"], task_config["pde"], dtype).to( |
| device=device, dtype=dtype |
| ) |
| parameter_count = sum(parameter.numel() for parameter in model.parameters()) |
| if task == "forward": |
| lambda_1 = float(task_config["pde"]["lambda_1"]) |
| lambda_2 = float(task_config["pde"]["lambda_2"]) |
| else: |
| lambda_1 = model.lambda_1 |
| lambda_2 = model.lambda_2 |
|
|
| print(f"Config: {config_path}") |
| print(f"Task: {task}") |
| print(f"Data: {data_path}") |
| print(f"Device: {device}") |
| print(f"Training points: {x_train.shape[0]}") |
| print(f"Parameters: {parameter_count:,}") |
|
|
| with torch.enable_grad(): |
| sample = x_train[: min(10, x_train.shape[0])].detach().requires_grad_(True) |
| test_function = sample[:, 0:1].square() + sample[:, 1:2] |
| gradient = torch.autograd.grad( |
| test_function, |
| sample, |
| torch.ones_like(test_function), |
| create_graph=True, |
| )[0] |
| second = torch.autograd.grad( |
| gradient[:, 0:1], |
| sample, |
| torch.ones_like(gradient[:, 0:1]), |
| create_graph=True, |
| )[0][:, 0:1] |
| if not torch.allclose(gradient[:, 1:2], torch.ones_like(second), atol=1.0e-5): |
| raise RuntimeError("u_t autograd validation failed") |
| if not torch.allclose(second, torch.full_like(second, 2.0), atol=1.0e-5): |
| raise RuntimeError("u_xx autograd validation failed") |
| print("Autograd validation: passed") |
|
|
| def current_loss() -> tuple[torch.Tensor, dict[str, torch.Tensor]]: |
| components = loss_components( |
| model, x_train, u_train, x_train, lambda_1, lambda_2 |
| ) |
| return weighted_loss(components, task_config["loss"]), components |
|
|
| def evaluate() -> float: |
| prediction = batched_predict( |
| model, |
| np.asarray(dataset["coordinates"]), |
| int(data_config["evaluation_batch_size"]), |
| device, |
| dtype, |
| ) |
| return relative_l2(prediction, np.asarray(dataset["exact"])) |
|
|
| optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate) |
| log_interval = int(task_config["training"]["log_interval"]) |
| loss_history = [] |
| l2_history = [] |
| lambda_history = [] |
| best_l2 = evaluate() |
| started = time.time() |
| for epoch in range(1, epochs + 1): |
| loss, components = current_loss() |
| if not torch.isfinite(loss): |
| raise FloatingPointError(f"FPINN loss became non-finite at epoch {epoch}") |
| optimizer.zero_grad(set_to_none=True) |
| loss.backward() |
| optimizer.step() |
| loss_history.append(loss.item()) |
| if task == "inverse": |
| lambda_history.append((model.lambda_1.item(), model.lambda_2.item())) |
|
|
| if epoch == 1 or epoch % log_interval == 0 or epoch == epochs: |
| error = evaluate() |
| l2_history.append((epoch, error)) |
| best_l2 = min(best_l2, error) |
| lambda_text = ( |
| "" |
| if task == "forward" |
| else f" lambda=({model.lambda_1.item():.6e}, {model.lambda_2.item():.6e})" |
| ) |
| print( |
| f"epoch={epoch:6d} loss={loss.item():.3e} " |
| f"data={components['data'].item():.3e} " |
| f"pde={components['pde'].item():.3e} l2={error:.3e}{lambda_text}" |
| ) |
|
|
| if lbfgs_iters > 0: |
| lbfgs = torch.optim.LBFGS( |
| model.parameters(), |
| lr=1.0, |
| max_iter=lbfgs_iters, |
| max_eval=max(1, 2 * lbfgs_iters), |
| history_size=50, |
| tolerance_grad=1.0e-5, |
| tolerance_change=float(np.finfo(float).eps), |
| line_search_fn="strong_wolfe", |
| ) |
|
|
| def closure() -> torch.Tensor: |
| lbfgs.zero_grad(set_to_none=True) |
| closure_loss, _ = current_loss() |
| if not torch.isfinite(closure_loss): |
| raise FloatingPointError("FPINN L-BFGS loss became non-finite") |
| closure_loss.backward() |
| return closure_loss |
|
|
| lbfgs.step(closure) |
| error = evaluate() |
| l2_history.append((epochs + lbfgs_iters, error)) |
| best_l2 = min(best_l2, error) |
| print(f"L-BFGS relative L2={error:.6e}") |
|
|
| final_l2 = evaluate() |
| elapsed = time.time() - started |
| weight_dir.mkdir(parents=True, exist_ok=True) |
| result_dir.mkdir(parents=True, exist_ok=True) |
| checkpoint = { |
| "task": task, |
| "case": "allen_cahn", |
| "architecture": "fuzzy_pinn", |
| "model_state": model.state_dict(), |
| "model_config": config["model"], |
| "pde_config": task_config["pde"], |
| "data_config": data_config, |
| "seed": seed, |
| "epochs": epochs, |
| "lbfgs_iters": lbfgs_iters, |
| "final_l2": final_l2, |
| } |
| torch.save(checkpoint, checkpoint_path) |
| l2_array = np.asarray(l2_history, dtype=np.float64).reshape(-1, 2) |
| lambda_array = np.asarray(lambda_history, dtype=np.float64).reshape(-1, 2) |
| np.savez_compressed( |
| history_path, |
| loss=np.asarray(loss_history, dtype=np.float64), |
| l2_steps=l2_array[:, 0], |
| l2_values=l2_array[:, 1], |
| lambda_1=lambda_array[:, 0] if lambda_array.size else np.array([]), |
| lambda_2=lambda_array[:, 1] if lambda_array.size else np.array([]), |
| final_l2=final_l2, |
| best_l2=best_l2, |
| elapsed_seconds=elapsed, |
| parameter_count=parameter_count, |
| ) |
| print(f"Final relative L2={final_l2:.6e}, elapsed={elapsed:.1f}s") |
| if task == "inverse": |
| print( |
| f"Recovered lambda_1={model.lambda_1.item():.8e}, " |
| f"lambda_2={model.lambda_2.item():.8e}" |
| ) |
| print(f"Saved checkpoint: {checkpoint_path}") |
| print(f"Saved history: {history_path}") |
|
|
|
|
| if __name__ == "__main__": |
| main() |
|
|