| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
| import numpy as np |
|
|
| from onescience.modules.fourier.ffno_layers import ( |
| SpectralConv1d, |
| SpectralConv2d, |
| SpectralConv3d, |
| ) |
| from onescience.modules.mlp import StandardMLP |
| from onescience.modules.embedding import timestep_embedding, unified_pos_embedding |
| from onescience.modules.fourier.geo_spectral import GeoSpectralConv2d, IPHI |
|
|
| SpectralConvList = [None, SpectralConv1d, SpectralConv2d, SpectralConv3d] |
|
|
| class Model(nn.Module): |
| """ |
| Factorized Fourier Neural Operator (F-FNO) 模型。 |
| """ |
| def __init__(self, args, device, s1=96, s2=96): |
| super(Model, self).__init__() |
| self.__name__ = "F-FNO" |
| self.args = args |
| self.device = device |
| |
| |
| 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), |
| ) |
|
|
| |
| self.spectral_layers = nn.ModuleList([]) |
| |
| 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() |
| self.padding = [(16 - size % 16) % 16 for size in [s1, s2]] |
| |
| |
| spectral_class = SpectralConv2d |
| conv_args = { |
| "in_dim": args.n_hidden, |
| "out_dim": args.n_hidden, |
| "modes_x": args.modes, |
| "modes_y": args.modes |
| } |
| |
| else: |
| |
| self.padding = [(16 - size % 16) % 16 for size in args.shapelist] |
| |
| dim = len(self.padding) |
| spectral_class = SpectralConvList[dim] |
| |
| conv_args = { |
| "in_dim": args.n_hidden, |
| "out_dim": args.n_hidden, |
| } |
| |
| mode_names = ["modes_x", "modes_y", "modes_z"] |
| for i in range(dim): |
| if i < len(mode_names): |
| conv_args[mode_names[i]] = args.modes |
|
|
| for _ in range(args.n_layers): |
| self.spectral_layers.append( |
| spectral_class(**conv_args) |
| ) |
|
|
| |
| self.fc1 = nn.Linear(args.n_hidden, args.n_hidden) |
| self.fc2 = nn.Linear(args.n_hidden, 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) |
|
|
| for i in range(self.args.n_layers): |
| x = x + self.spectral_layers[i](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 |
| ) |
| |
| for i in range(self.args.n_layers): |
| x = x + self.spectral_layers[i](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) |
|
|