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"""
This file is adapted from Nguyen, Tung, et al. "ClimaX: A foundation model
for weather and climate." arXiv preprint arXiv:2301.10343 (2023).
Code from this project is available at https://github.com/microsoft/ClimaX
"""
from functools import lru_cache
import numpy as np
import torch
import torch.nn as nn
from timm.models.vision_transformer import Block, PatchEmbed, trunc_normal_
from architectures import MLP
def get_2d_sincos_pos_embed(embed_dim, grid_size_h, grid_size_w, cls_token=False):
grid_h = np.arange(grid_size_h, dtype=np.float32)
grid_w = np.arange(grid_size_w, dtype=np.float32)
grid = np.meshgrid(grid_w, grid_h)
grid = np.stack(grid, axis=0)
grid = grid.reshape([2, 1, grid_size_h, grid_size_w])
pos_embed = get_2d_sincos_pos_embed_from_grid(embed_dim, grid)
if cls_token:
pos_embed = np.concatenate([np.zeros([1, embed_dim]), pos_embed], axis=0)
return pos_embed
def get_2d_sincos_pos_embed_from_grid(embed_dim, grid):
assert embed_dim % 2 == 0
emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[0])
emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[1])
emb = np.concatenate([emb_h, emb_w], axis=1)
return emb
def get_1d_sincos_pos_embed_from_grid(embed_dim, pos):
assert embed_dim % 2 == 0
omega = np.arange(embed_dim // 2, dtype=np.float32)
omega /= embed_dim / 2.0
omega = 1.0 / 10000**omega
pos = pos.reshape(-1)
out = np.einsum("m,d->md", pos, omega)
emb_sin = np.sin(out)
emb_cos = np.cos(out)
emb = np.concatenate([emb_sin, emb_cos], axis=1)
return emb
def interpolate_pos_embed(model, checkpoint_model, new_size=(64, 128)):
if "net.pos_embed" in checkpoint_model:
pos_embed_checkpoint = checkpoint_model["net.pos_embed"]
embedding_size = pos_embed_checkpoint.shape[-1]
orig_num_patches = pos_embed_checkpoint.shape[-2]
patch_size = model.patch_size
w_h_ratio = 2
orig_h = int((orig_num_patches // w_h_ratio) ** 0.5)
orig_w = w_h_ratio * orig_h
orig_size = (orig_h, orig_w)
new_size = (new_size[0] // patch_size, new_size[1] // patch_size)
if orig_size[0] != new_size[0]:
print(
"Interpolate PEs from %dx%d to %dx%d"
% (orig_size[0], orig_size[1], new_size[0], new_size[1])
)
pos_tokens = pos_embed_checkpoint.reshape(
-1, orig_size[0], orig_size[1], embedding_size
).permute(0, 3, 1, 2)
new_pos_tokens = torch.nn.functional.interpolate(
pos_tokens,
size=(new_size[0], new_size[1]),
mode="bicubic",
align_corners=False,
)
new_pos_tokens = new_pos_tokens.permute(0, 2, 3, 1).flatten(1, 2)
checkpoint_model["net.pos_embed"] = new_pos_tokens
def interpolate_channel_embed(checkpoint_model, new_len):
if "net.channel_embed" in checkpoint_model:
channel_embed_checkpoint = checkpoint_model["net.channel_embed"]
old_len = channel_embed_checkpoint.shape[1]
if new_len <= old_len:
checkpoint_model["net.channel_embed"] = channel_embed_checkpoint[
:, :new_len
]
class ViT(nn.Module):
def __init__(
self,
in_channels,
out_channels,
h_channels,
img_size=[256, 128],
patch_size=8,
depth=24,
decoder_depth=4,
num_heads=16,
mlp_ratio=4.0,
drop_path=0.0,
drop_rate=0.0,
per_var_embedding=True,
):
super().__init__()
self.img_size = img_size
self.patch_size = patch_size
default_vars = [str(i) for i in range(in_channels)]
self.default_vars = default_vars
embed_dim = h_channels
self.per_var_embedding = per_var_embedding
if self.per_var_embedding:
self.token_embeds = nn.ModuleList(
[
PatchEmbed(img_size, patch_size, 1, embed_dim)
for i in range(len(default_vars))
]
)
else:
self.token_embeds = nn.ModuleList(
[PatchEmbed(img_size, patch_size, in_channels, embed_dim)]
)
self.num_patches = self.token_embeds[0].num_patches
self.var_embed, self.var_map = self.create_var_embedding(embed_dim)
self.var_query = nn.Parameter(torch.zeros(1, 1, embed_dim), requires_grad=True)
self.var_agg = nn.MultiheadAttention(embed_dim, num_heads, batch_first=True)
self.pos_embed = nn.Parameter(
torch.zeros(1, self.num_patches, embed_dim), requires_grad=True
)
self.lead_time_embed = nn.Linear(1, embed_dim)
self.out_dim = out_channels
self.pos_drop = nn.Dropout(p=drop_rate)
dpr = [x.item() for x in torch.linspace(0, drop_path, depth)]
self.blocks = nn.ModuleList(
[
Block(
embed_dim,
num_heads,
mlp_ratio,
qkv_bias=True,
drop_path=dpr[i],
norm_layer=nn.LayerNorm,
drop=drop_rate,
)
for i in range(depth)
]
)
self.norm = nn.LayerNorm(embed_dim)
self.head = nn.ModuleList()
for _ in range(decoder_depth):
self.head.append(nn.Linear(embed_dim, embed_dim))
self.head.append(nn.GELU())
self.head.append(nn.Linear(embed_dim, self.out_dim * patch_size**2))
self.head = nn.Sequential(*self.head)
self.initialize_weights()
if not self.per_var_embedding:
self.mlp = MLP(in_channels=277, out_channels=256)
def initialize_weights(self):
pos_embed = get_2d_sincos_pos_embed(
self.pos_embed.shape[-1],
int(self.img_size[0] / self.patch_size),
int(self.img_size[1] / self.patch_size),
cls_token=False,
)
self.pos_embed.data.copy_(torch.from_numpy(pos_embed).float().unsqueeze(0))
var_embed = get_1d_sincos_pos_embed_from_grid(
self.var_embed.shape[-1], np.arange(len(self.default_vars))
)
self.var_embed.data.copy_(torch.from_numpy(var_embed).float().unsqueeze(0))
for i in range(len(self.token_embeds)):
w = self.token_embeds[i].proj.weight.data
trunc_normal_(w.view([w.shape[0], -1]), std=0.02)
self.apply(self._init_weights)
def _init_weights(self, m):
if isinstance(m, nn.Linear):
trunc_normal_(m.weight, std=0.02)
if m.bias is not None:
nn.init.constant_(m.bias, 0)
elif isinstance(m, nn.LayerNorm):
nn.init.constant_(m.bias, 0)
nn.init.constant_(m.weight, 1.0)
def create_var_embedding(self, dim):
var_embed = nn.Parameter(
torch.zeros(1, len(self.default_vars), dim), requires_grad=True
)
var_map = {}
idx = 0
for var in self.default_vars:
var_map[var] = idx
idx += 1
return var_embed, var_map
@lru_cache(maxsize=None)
def get_var_ids(self, vars, device):
ids = np.array([self.var_map[var] for var in vars])
return torch.from_numpy(ids).to(device)
def get_var_emb(self, var_emb, vars):
ids = self.get_var_ids(vars, var_emb.device)
return var_emb[:, ids, :]
def unpatchify(self, x: torch.Tensor, h=None, w=None):
p = self.patch_size
c = self.out_dim
h = self.img_size[0] // p if h is None else h // p
w = self.img_size[1] // p if w is None else w // p
assert h * w == x.shape[1]
x = x.reshape(shape=(x.shape[0], h, w, p, p, c))
x = torch.einsum("nhwpqc->nchpwq", x)
imgs = x.reshape(shape=(x.shape[0], c, h * p, w * p))
return imgs
def aggregate_variables(self, x: torch.Tensor):
b, _, l, _ = x.shape
x = torch.einsum("bvld->blvd", x)
x = x.flatten(0, 1)
var_query = self.var_query.repeat_interleave(x.shape[0], dim=0)
x, _ = self.var_agg(var_query, x, x)
x = x.squeeze()
x = x.unflatten(dim=0, sizes=(b, l))
return x
def mlp_embedding(self, x):
return
def forward_encoder(self, x, lead_times, variables):
if isinstance(variables, list):
variables = tuple(variables)
if self.per_var_embedding:
embeds = []
var_ids = self.get_var_ids(variables, x.device)
for i in range(len(var_ids)):
id = var_ids[i]
embeds.append(self.token_embeds[id](x[:, i : i + 1]))
x = torch.stack(embeds, dim=1)
var_embed = self.get_var_emb(self.var_embed, variables)
x = x + var_embed.unsqueeze(2)
x = self.aggregate_variables(x)
else:
x = self.mlp(x.permute(0, 2, 3, 1)).permute(0, 3, 1, 2)
x = self.token_embeds[0](x)
x = x + self.pos_embed
lead_time_emb = self.lead_time_embed(lead_times.unsqueeze(-1))
lead_time_emb = lead_time_emb.unsqueeze(1)
x = x + lead_time_emb
x = self.pos_drop(x)
for blk in self.blocks:
x = blk(x)
x = self.norm(x)
return x
def forward(self, x, lead_times=None, film_index=None):
if lead_times is None:
lead_times = torch.ones(x.shape[0]).float().cuda().unsqueeze(-1)
out_transformers = self.forward_encoder(x, lead_times[:, 0], self.default_vars)
preds = self.head(out_transformers)
preds = self.unpatchify(preds)
return preds.permute(0, 2, 3, 1)