|
|
| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
| import numpy as np |
|
|
| from onescience.modules.fourier.fno_layers import ( |
| SpectralConv1d, |
| SpectralConv2d, |
| SpectralConv3d, |
| ) |
| from onescience.modules.mlp.MLP import StandardMLP |
| from onescience.modules.embedding import timestep_embedding, unified_pos_embedding |
| from onescience.modules.fourier.geo_spectral import GeoSpectralConv2d, IPHI |
|
|
| |
| from onescience.modules.layer.unet_layer import ( |
| DoubleConv1D, Down1D, Up1D, OutConv1D, |
| DoubleConv2D, Down2D, Up2D, OutConv2D, |
| DoubleConv3D, Down3D, Up3D, OutConv3D, |
| ) |
|
|
| ConvList = [None, DoubleConv1D, DoubleConv2D, DoubleConv3D] |
| DownList = [None, Down1D, Down2D, Down3D] |
| UpList = [None, Up1D, Up2D, Up3D] |
| OutList = [None, OutConv1D, OutConv2D, OutConv3D] |
| SpectralConvList = [None, SpectralConv1d, SpectralConv2d, SpectralConv3d] |
|
|
| class Model(nn.Module): |
| """ |
| U-NO (U-Net Neural Operator) 模型。 |
| |
| 结合了 U-Net 的多尺度结构和 FNO 的谱卷积能力。 |
| 在 U-Net 的每个 Encoder 和 Decoder 层级之间插入了 FNO Block (SpectralConv) 和 1x1 卷积残差。 |
| """ |
| def __init__(self, args, device, bilinear=True, s1=96, s2=96): |
| super(Model, self).__init__() |
| self.__name__ = "U_NO" |
| self.args = args |
|
|
| if args.task == "steady": |
| normtype = "bn" |
| else: |
| normtype = "in" |
|
|
| |
| |
| input_dim = args.fun_dim |
| if args.unified_pos and args.geotype != "unstructured": |
| self.pos = unified_pos_embedding(args.shapelist, args.ref, device=device) |
| input_dim += args.ref ** len(args.shapelist) |
| else: |
| input_dim += args.space_dim |
|
|
| self.preprocess = StandardMLP( |
| input_dim=input_dim, |
| output_dim=args.n_hidden, |
| hidden_dims=[args.n_hidden * 2], |
| activation=args.act, |
| use_bias=True |
| ) |
|
|
| if args.time_input: |
| self.time_fc = nn.Sequential( |
| nn.Linear(args.n_hidden, args.n_hidden), |
| nn.SiLU(), |
| nn.Linear(args.n_hidden, args.n_hidden), |
| ) |
|
|
| |
| |
| if self.args.geotype == "unstructured": |
| self.fftproject_in = GeoSpectralConv2d( |
| in_channels=args.n_hidden, |
| out_channels=args.n_hidden, |
| modes1=args.modes, |
| modes2=args.modes, |
| s1=s1, |
| s2=s2 |
| ) |
| self.fftproject_out = GeoSpectralConv2d( |
| in_channels=args.n_hidden, |
| out_channels=args.n_hidden, |
| modes1=args.modes, |
| modes2=args.modes, |
| s1=s1, |
| s2=s2 |
| ) |
| self.iphi = IPHI() |
| |
| patch_size = [(size + (16 - size % 16) % 16) // 16 for size in [s1, s2]] |
| self.padding = [(16 - size % 16) % 16 for size in [s1, s2]] |
| self.augmented_resolution = [s1, s2] |
| else: |
| patch_size = [ |
| (size + (16 - size % 16) % 16) // 16 for size in args.shapelist |
| ] |
| self.padding = [(16 - size % 16) % 16 for size in args.shapelist] |
| self.augmented_resolution = [ |
| shape + padding for shape, padding in zip(args.shapelist, self.padding) |
| ] |
|
|
| dim = len(patch_size) |
|
|
| |
| self.inc = ConvList[dim](args.n_hidden, args.n_hidden, normtype=normtype) |
| |
| self.down1 = DownList[dim](args.n_hidden, args.n_hidden * 2, normtype=normtype) |
| self.down2 = DownList[dim](args.n_hidden * 2, args.n_hidden * 4, normtype=normtype) |
| self.down3 = DownList[dim](args.n_hidden * 4, args.n_hidden * 8, normtype=normtype) |
| |
| factor = 2 if bilinear else 1 |
| self.down4 = DownList[dim](args.n_hidden * 8, args.n_hidden * 16 // factor, normtype=normtype) |
| |
| self.up1 = UpList[dim](args.n_hidden * 16, args.n_hidden * 8 // factor, bilinear, normtype=normtype) |
| self.up2 = UpList[dim](args.n_hidden * 8, args.n_hidden * 4 // factor, bilinear, normtype=normtype) |
| self.up3 = UpList[dim](args.n_hidden * 4, args.n_hidden * 2 // factor, bilinear, normtype=normtype) |
| self.up4 = UpList[dim](args.n_hidden * 2, args.n_hidden, bilinear, normtype=normtype) |
| |
| self.outc = OutList[dim](args.n_hidden, args.n_hidden) |
|
|
| |
| def get_fno_layer(in_c, out_c, res_list, divisor): |
| modes_list = [ |
| max(1, min(args.modes, res // divisor)) |
| for res in res_list |
| ] |
|
|
| kwargs = { |
| "in_channels": in_c, |
| "out_channels": out_c |
| } |
| mode_names = ["modes1", "modes2", "modes3"] |
| for i, m in enumerate(modes_list): |
| if i < len(mode_names): |
| kwargs[mode_names[i]] = m |
| return SpectralConvList[dim](**kwargs) |
|
|
| |
| self.process1_down = get_fno_layer(args.n_hidden, args.n_hidden, self.augmented_resolution, 2) |
| self.process2_down = get_fno_layer(args.n_hidden * 2, args.n_hidden * 2, self.augmented_resolution, 4) |
| self.process3_down = get_fno_layer(args.n_hidden * 4, args.n_hidden * 4, self.augmented_resolution, 8) |
| self.process4_down = get_fno_layer(args.n_hidden * 8, args.n_hidden * 8, self.augmented_resolution, 16) |
| self.process5_down = get_fno_layer(args.n_hidden * 16 // factor, args.n_hidden * 16 // factor, self.augmented_resolution, 32) |
|
|
| |
| self.w1_down = ConvList[dim](args.n_hidden, args.n_hidden, 1) |
| self.w2_down = ConvList[dim](args.n_hidden * 2, args.n_hidden * 2, 1) |
| self.w3_down = ConvList[dim](args.n_hidden * 4, args.n_hidden * 4, 1) |
| self.w4_down = ConvList[dim](args.n_hidden * 8, args.n_hidden * 8, 1) |
| self.w5_down = ConvList[dim](args.n_hidden * 16 // factor, args.n_hidden * 16 // factor, 1) |
|
|
| |
| self.process1_up = get_fno_layer(args.n_hidden, args.n_hidden, self.augmented_resolution, 2) |
| self.process2_up = get_fno_layer(args.n_hidden * 2 // factor, args.n_hidden * 2 // factor, self.augmented_resolution, 4) |
| self.process3_up = get_fno_layer(args.n_hidden * 4 // factor, args.n_hidden * 4 // factor, self.augmented_resolution, 8) |
| self.process4_up = get_fno_layer(args.n_hidden * 8 // factor, args.n_hidden * 8 // factor, self.augmented_resolution, 16) |
| self.process5_up = get_fno_layer(args.n_hidden * 16 // factor, args.n_hidden * 16 // factor, self.augmented_resolution, 32) |
|
|
| self.w1_up = ConvList[dim](args.n_hidden, args.n_hidden, 1) |
| self.w2_up = ConvList[dim](args.n_hidden * 2 // factor, args.n_hidden * 2 // factor, 1) |
| self.w3_up = ConvList[dim](args.n_hidden * 4 // factor, args.n_hidden * 4 // factor, 1) |
| self.w4_up = ConvList[dim](args.n_hidden * 8 // factor, args.n_hidden * 8 // factor, 1) |
| self.w5_up = ConvList[dim](args.n_hidden * 16 // factor, args.n_hidden * 16 // factor, 1) |
|
|
| |
| self.fc1 = nn.Linear(args.n_hidden, args.n_hidden * 2) |
| self.fc2 = nn.Linear(args.n_hidden * 2, args.out_dim) |
|
|
| def structured_geo(self, x, fx, T=None): |
| B, N, _ = x.shape |
| if self.args.unified_pos: |
| x = self.pos.repeat(x.shape[0], 1, 1) |
| |
| if fx is not None: |
| fx = torch.cat((x, fx), -1) |
| fx = self.preprocess(fx) |
| else: |
| fx = self.preprocess(x) |
|
|
| if T is not None: |
| Time_emb = timestep_embedding(T, self.args.n_hidden) |
| Time_emb = self.time_fc(Time_emb) |
| if Time_emb.ndim == 2: |
| Time_emb = Time_emb.unsqueeze(1) |
| fx = fx + Time_emb |
|
|
| |
| x = fx.permute(0, 2, 1).reshape(B, self.args.n_hidden, *self.args.shapelist) |
| |
| |
| if not all(item == 0 for item in self.padding): |
| pad_arg = [] |
| for p in reversed(self.padding): |
| pad_arg.extend([0, p]) |
| x = F.pad(x, pad_arg) |
|
|
| |
| |
| x1 = self.inc(x) |
| |
| x1 = F.gelu(self.process1_down(x1) + self.w1_down(x1)) |
| |
| |
| x2 = self.down1(x1) |
| x2 = F.gelu(self.process2_down(x2) + self.w2_down(x2)) |
| |
| |
| x3 = self.down2(x2) |
| x3 = F.gelu(self.process3_down(x3) + self.w3_down(x3)) |
| |
| |
| x4 = self.down3(x3) |
| x4 = F.gelu(self.process4_down(x4) + self.w4_down(x4)) |
| |
| |
| x5 = self.down4(x4) |
| x5 = F.gelu(self.process5_down(x5) + self.w5_down(x5)) |
| |
| x5 = F.gelu(self.process5_up(x5) + self.w5_up(x5)) |
| |
| |
| x = self.up1(x5, x4) |
| x = F.gelu(self.process4_up(x) + self.w4_up(x)) |
| |
| |
| x = self.up2(x, x3) |
| x = F.gelu(self.process3_up(x) + self.w3_up(x)) |
| |
| |
| x = self.up3(x, x2) |
| x = F.gelu(self.process2_up(x) + self.w2_up(x)) |
| |
| |
| x = self.up4(x, x1) |
| x = F.gelu(self.process1_up(x) + self.w1_up(x)) |
| |
| x = self.outc(x) |
|
|
| |
| if not all(item == 0 for item in self.padding): |
| if len(self.args.shapelist) == 1: |
| x = x[..., : -self.padding[0]] |
| elif len(self.args.shapelist) == 2: |
| x = x[..., : -self.padding[0], : -self.padding[1]] |
| elif len(self.args.shapelist) == 3: |
| x = x[..., : -self.padding[0], : -self.padding[1], : -self.padding[2]] |
| |
| |
| x = x.reshape(B, self.args.n_hidden, -1).permute(0, 2, 1) |
| x = self.fc1(x) |
| x = F.gelu(x) |
| x = self.fc2(x) |
| return x |
|
|
| def unstructured_geo(self, x, fx, T=None): |
| original_pos = x |
| if fx is not None: |
| fx = torch.cat((x, fx), -1) |
| fx = self.preprocess(fx) |
| else: |
| fx = self.preprocess(x) |
|
|
| if T is not None: |
| Time_emb = timestep_embedding(T, self.args.n_hidden) |
| Time_emb = self.time_fc(Time_emb) |
| if Time_emb.ndim == 2: |
| Time_emb = Time_emb.unsqueeze(1) |
| fx = fx + Time_emb |
|
|
| |
| x = self.fftproject_in( |
| fx.permute(0, 2, 1), x_in=original_pos, iphi=self.iphi, code=None |
| ) |
| |
| |
| x1 = self.inc(x) |
| x1 = F.gelu(self.process1_down(x1) + self.w1_down(x1)) |
| |
| x2 = self.down1(x1) |
| x2 = F.gelu(self.process2_down(x2) + self.w2_down(x2)) |
| |
| x3 = self.down2(x2) |
| x3 = F.gelu(self.process3_down(x3) + self.w3_down(x3)) |
| |
| x4 = self.down3(x3) |
| x4 = F.gelu(self.process4_down(x4) + self.w4_down(x4)) |
| |
| x5 = self.down4(x4) |
| x5 = F.gelu(self.process5_down(x5) + self.w5_down(x5)) |
| x5 = F.gelu(self.process5_up(x5) + self.w5_up(x5)) |
| |
| x = self.up1(x5, x4) |
| x = F.gelu(self.process4_up(x) + self.w4_up(x)) |
| |
| x = self.up2(x, x3) |
| x = F.gelu(self.process3_up(x) + self.w3_up(x)) |
| |
| x = self.up3(x, x2) |
| x = F.gelu(self.process2_up(x) + self.w2_up(x)) |
| |
| x = self.up4(x, x1) |
| x = F.gelu(self.process1_up(x) + self.w1_up(x)) |
| |
| x = self.outc(x) |
| |
| |
| x = self.fftproject_out( |
| x, x_out=original_pos, iphi=self.iphi, code=None |
| ).permute(0, 2, 1) |
| |
| x = self.fc1(x) |
| x = F.gelu(x) |
| x = self.fc2(x) |
| return x |
|
|
| def forward(self, x, fx, T=None, geo=None): |
| if self.args.geotype == "unstructured": |
| return self.unstructured_geo(x, fx, T) |
| else: |
| return self.structured_geo(x, fx, T) |
|
|