steady-rans-surrogates / code /ezflow_v3 /baselines /Transolver-main /PDE-Solving-StandardBenchmark /exp_darcy.py
| import os | |
| import argparse | |
| import numpy as np | |
| import scipy.io as scio | |
| import torch | |
| import torch.nn.functional as F | |
| from tqdm import * | |
| from utils.testloss import TestLoss | |
| from einops import rearrange | |
| from model_dict import get_model | |
| from utils.normalizer import UnitTransformer | |
| import matplotlib.pyplot as plt | |
| parser = argparse.ArgumentParser('Training Transolver') | |
| parser.add_argument('--lr', type=float, default=1e-3) | |
| parser.add_argument('--epochs', type=int, default=500) | |
| parser.add_argument('--weight_decay', type=float, default=1e-5) | |
| parser.add_argument('--model', type=str, default='Transolver_2D') | |
| parser.add_argument('--n-hidden', type=int, default=64, help='hidden dim') | |
| parser.add_argument('--n-layers', type=int, default=3, help='layers') | |
| parser.add_argument('--n-heads', type=int, default=4) | |
| parser.add_argument('--batch-size', type=int, default=8) | |
| parser.add_argument("--gpu", type=str, default='1', help="GPU index to use") | |
| parser.add_argument('--max_grad_norm', type=float, default=None) | |
| parser.add_argument('--downsample', type=int, default=5) | |
| parser.add_argument('--mlp_ratio', type=int, default=1) | |
| parser.add_argument('--dropout', type=float, default=0.0) | |
| parser.add_argument('--ntrain', type=int, default=1000) | |
| parser.add_argument('--unified_pos', type=int, default=0) | |
| parser.add_argument('--ref', type=int, default=8) | |
| parser.add_argument('--slice_num', type=int, default=32) | |
| parser.add_argument('--eval', type=int, default=0) | |
| parser.add_argument('--save_name', type=str, default='darcy_Transolver') | |
| parser.add_argument('--data_path', type=str, default='/data/fno') | |
| args = parser.parse_args() | |
| os.environ["CUDA_VISIBLE_DEVICES"] = args.gpu | |
| train_path = args.data_path + '/piececonst_r421_N1024_smooth1.mat' | |
| test_path = args.data_path + '/piececonst_r421_N1024_smooth2.mat' | |
| ntrain = args.ntrain | |
| ntest = 200 | |
| epochs = args.epochs | |
| eval = args.eval | |
| save_name = args.save_name | |
| def count_parameters(model): | |
| total_params = 0 | |
| for name, parameter in model.named_parameters(): | |
| if not parameter.requires_grad: continue | |
| params = parameter.numel() | |
| total_params += params | |
| print(f"Total Trainable Params: {total_params}") | |
| return total_params | |
| def central_diff(x: torch.Tensor, h, resolution): | |
| # assuming PBC | |
| # x: (batch, n, feats), h is the step size, assuming n = h*w | |
| x = rearrange(x, 'b (h w) c -> b h w c', h=resolution, w=resolution) | |
| x = F.pad(x, | |
| (0, 0, 1, 1, 1, 1), mode='constant', value=0.) # [b c t h+2 w+2] | |
| grad_x = (x[:, 1:-1, 2:, :] - x[:, 1:-1, :-2, :]) / (2 * h) # f(x+h) - f(x-h) / 2h | |
| grad_y = (x[:, 2:, 1:-1, :] - x[:, :-2, 1:-1, :]) / (2 * h) # f(x+h) - f(x-h) / 2h | |
| return grad_x, grad_y | |
| def main(): | |
| r = args.downsample | |
| h = int(((421 - 1) / r) + 1) | |
| s = h | |
| dx = 1.0 / s | |
| train_data = scio.loadmat(train_path) | |
| x_train = train_data['coeff'][:ntrain, ::r, ::r][:, :s, :s] | |
| x_train = x_train.reshape(ntrain, -1) | |
| x_train = torch.from_numpy(x_train).float() | |
| y_train = train_data['sol'][:ntrain, ::r, ::r][:, :s, :s] | |
| y_train = y_train.reshape(ntrain, -1) | |
| y_train = torch.from_numpy(y_train) | |
| test_data = scio.loadmat(test_path) | |
| x_test = test_data['coeff'][:ntest, ::r, ::r][:, :s, :s] | |
| x_test = x_test.reshape(ntest, -1) | |
| x_test = torch.from_numpy(x_test).float() | |
| y_test = test_data['sol'][:ntest, ::r, ::r][:, :s, :s] | |
| y_test = y_test.reshape(ntest, -1) | |
| y_test = torch.from_numpy(y_test) | |
| x_normalizer = UnitTransformer(x_train) | |
| y_normalizer = UnitTransformer(y_train) | |
| x_train = x_normalizer.encode(x_train) | |
| x_test = x_normalizer.encode(x_test) | |
| y_train = y_normalizer.encode(y_train) | |
| x_normalizer.cuda() | |
| y_normalizer.cuda() | |
| x = np.linspace(0, 1, s) | |
| y = np.linspace(0, 1, s) | |
| x, y = np.meshgrid(x, y) | |
| pos = np.c_[x.ravel(), y.ravel()] | |
| pos = torch.tensor(pos, dtype=torch.float).unsqueeze(0) | |
| pos_train = pos.repeat(ntrain, 1, 1) | |
| pos_test = pos.repeat(ntest, 1, 1) | |
| print("Dataloading is over.") | |
| train_loader = torch.utils.data.DataLoader(torch.utils.data.TensorDataset(pos_train, x_train, y_train), | |
| batch_size=args.batch_size, shuffle=True) | |
| test_loader = torch.utils.data.DataLoader(torch.utils.data.TensorDataset(pos_test, x_test, y_test), | |
| batch_size=args.batch_size, shuffle=False) | |
| model = get_model(args).Model(space_dim=2, | |
| n_layers=args.n_layers, | |
| n_hidden=args.n_hidden, | |
| dropout=args.dropout, | |
| n_head=args.n_heads, | |
| Time_Input=False, | |
| mlp_ratio=args.mlp_ratio, | |
| fun_dim=1, | |
| out_dim=1, | |
| slice_num=args.slice_num, | |
| ref=args.ref, | |
| unified_pos=args.unified_pos, | |
| H=s, W=s).cuda() | |
| optimizer = torch.optim.AdamW(model.parameters(), lr=args.lr, weight_decay=args.weight_decay) | |
| print(args) | |
| print(model) | |
| count_parameters(model) | |
| scheduler = torch.optim.lr_scheduler.OneCycleLR(optimizer, max_lr=args.lr, epochs=epochs, | |
| steps_per_epoch=len(train_loader)) | |
| myloss = TestLoss(size_average=False) | |
| de_x = TestLoss(size_average=False) | |
| de_y = TestLoss(size_average=False) | |
| if eval: | |
| print("model evaluation") | |
| print(s, s) | |
| model.load_state_dict(torch.load("./checkpoints/" + save_name + ".pt"), strict=False) | |
| model.eval() | |
| showcase = 10 | |
| id = 0 | |
| if not os.path.exists('./results/' + save_name + '/'): | |
| os.makedirs('./results/' + save_name + '/') | |
| with torch.no_grad(): | |
| rel_err = 0.0 | |
| with torch.no_grad(): | |
| for x, fx, y in test_loader: | |
| id += 1 | |
| x, fx, y = x.cuda(), fx.cuda(), y.cuda() | |
| out = model(x, fx=fx.unsqueeze(-1)).squeeze(-1) | |
| out = y_normalizer.decode(out) | |
| tl = myloss(out, y).item() | |
| rel_err += tl | |
| if id < showcase: | |
| print(id) | |
| plt.figure() | |
| plt.axis('off') | |
| plt.imshow(out[0, :].reshape(85, 85).detach().cpu().numpy(), cmap='coolwarm') | |
| plt.colorbar() | |
| plt.savefig( | |
| os.path.join('./results/' + save_name + '/', | |
| "case_" + str(id) + "_pred.pdf")) | |
| plt.close() | |
| # ============ # | |
| plt.figure() | |
| plt.axis('off') | |
| plt.imshow(y[0, :].reshape(85, 85).detach().cpu().numpy(), cmap='coolwarm') | |
| plt.colorbar() | |
| plt.savefig( | |
| os.path.join('./results/' + save_name + '/', "case_" + str(id) + "_gt.pdf")) | |
| plt.close() | |
| # ============ # | |
| plt.figure() | |
| plt.axis('off') | |
| plt.imshow((y[0, :] - out[0, :]).reshape(85, 85).detach().cpu().numpy(), cmap='coolwarm') | |
| plt.colorbar() | |
| plt.clim(-0.0005, 0.0005) | |
| plt.savefig( | |
| os.path.join('./results/' + save_name + '/', "case_" + str(id) + "_error.pdf")) | |
| plt.close() | |
| # ============ # | |
| plt.figure() | |
| plt.axis('off') | |
| plt.imshow((fx[0, :].unsqueeze(-1)).reshape(85, 85).detach().cpu().numpy(), cmap='coolwarm') | |
| plt.colorbar() | |
| plt.savefig( | |
| os.path.join('./results/' + save_name + '/', "case_" + str(id) + "_input.pdf")) | |
| plt.close() | |
| rel_err /= ntest | |
| print("rel_err:{}".format(rel_err)) | |
| else: | |
| for ep in range(args.epochs): | |
| model.train() | |
| train_loss = 0 | |
| reg = 0 | |
| for x, fx, y in train_loader: | |
| x, fx, y = x.cuda(), fx.cuda(), y.cuda() | |
| optimizer.zero_grad() | |
| out = model(x, fx=fx.unsqueeze(-1)).squeeze(-1) # B, N , 2, fx: B, N, y: B, N | |
| out = y_normalizer.decode(out) | |
| y = y_normalizer.decode(y) | |
| l2loss = myloss(out, y) | |
| out = rearrange(out.unsqueeze(-1), 'b (h w) c -> b c h w', h=s) | |
| out = out[..., 1:-1, 1:-1].contiguous() | |
| out = F.pad(out, (1, 1, 1, 1), "constant", 0) | |
| out = rearrange(out, 'b c h w -> b (h w) c') | |
| gt_grad_x, gt_grad_y = central_diff(y.unsqueeze(-1), dx, s) | |
| pred_grad_x, pred_grad_y = central_diff(out, dx, s) | |
| deriv_loss = de_x(pred_grad_x, gt_grad_x) + de_y(pred_grad_y, gt_grad_y) | |
| loss = 0.1 * deriv_loss + l2loss | |
| loss.backward() | |
| if args.max_grad_norm is not None: | |
| torch.nn.utils.clip_grad_norm_(model.parameters(), args.max_grad_norm) | |
| optimizer.step() | |
| train_loss += l2loss.item() | |
| reg += deriv_loss.item() | |
| scheduler.step() | |
| train_loss /= ntrain | |
| reg /= ntrain | |
| print("Epoch {} Reg : {:.5f} Train loss : {:.5f}".format(ep, reg, train_loss)) | |
| model.eval() | |
| rel_err = 0.0 | |
| id = 0 | |
| with torch.no_grad(): | |
| for x, fx, y in test_loader: | |
| id += 1 | |
| if id == 2: | |
| vis = True | |
| else: | |
| vis = False | |
| x, fx, y = x.cuda(), fx.cuda(), y.cuda() | |
| out = model(x, fx=fx.unsqueeze(-1)).squeeze(-1) | |
| out = y_normalizer.decode(out) | |
| tl = myloss(out, y).item() | |
| rel_err += tl | |
| rel_err /= ntest | |
| print("rel_err:{}".format(rel_err)) | |
| if ep % 100 == 0: | |
| if not os.path.exists('./checkpoints'): | |
| os.makedirs('./checkpoints') | |
| print('save model') | |
| torch.save(model.state_dict(), os.path.join('./checkpoints', save_name + '.pt')) | |
| if not os.path.exists('./checkpoints'): | |
| os.makedirs('./checkpoints') | |
| print('save model') | |
| torch.save(model.state_dict(), os.path.join('./checkpoints', save_name + '.pt')) | |
| if __name__ == "__main__": | |
| main() | |