File size: 11,294 Bytes
87b732d
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
"""Copyright (c) Microsoft Corporation. Licensed under the MIT license."""

from datetime import timedelta
from typing import Optional

import torch
from einops import rearrange
from torch import nn

from .aurora_batch import Batch, Metadata
from .aurora_fourier import levels_expansion
from .aurora_levelcond import LevelConditioned
from .aurora_perceiver import PerceiverResampler
from .aurora_util import (
    check_lat_lon_dtype,
    init_weights,
    unpatchify,
)

__all__ = ["Perceiver3DDecoder"]


class LinearPatchReconstruction(nn.Linear):
    """Linear layer for patch reconstruction."""


class Perceiver3DDecoder(nn.Module):
    """Multi-scale multi-source multi-variable decoder based on the Perceiver architecture."""

    def __init__(
        self,
        surf_vars: tuple[str, ...],
        atmos_vars: tuple[str, ...],
        patch_size: int = 4,
        embed_dim: int = 1024,
        depth: int = 1,
        head_dim: int = 64,
        num_heads: int = 8,
        mlp_ratio: float = 4.0,
        drop_rate: float = 0.0,
        perceiver_ln_eps: float = 1e-5,
        level_condition: Optional[tuple[int | float, ...]] = None,
        separate_perceiver: tuple[str, ...] = (),
        modulation_heads: tuple[str, ...] = (),
    ) -> None:
        """Initialise.

        Args:
            surf_vars (tuple[str, ...]): All supported surface-level variables.
            atmos_vars (tuple[str, ...]): All supported atmospheric variables.
            patch_size (int, optional): Patch size. Defaults to `4`.
            embed_dim (int, optional): Embedding dim.. Defaults to `1024`.
            depth (int, optional): Number of Perceiver cross-attention and feed-forward blocks.
                Defaults to `1`.
            head_dim (int, optional): Dimension of the attention heads used in the aggregation
                blocks. Defaults to `64`.
            num_heads (int, optional): Number of attention heads used in the aggregation blocks.
                Defaults to `8`.
            mlp_ratio (float, optional): Ratio of MLP hidden dimension to embedding dimensionality.
                Defaults to `4.0`.
            drop_rate (float, optional): Drop-out rate for input patches. Defaults to `0.0`.
            perceiver_ln_eps (float, optional): Layer norm. epsilon for the Perceiver blocks.
                Defaults to `1e-5`.
            level_condition (tuple[int | float, ...], optional): Make the patch embeddings dependent
                on pressure level. If you want to enable this feature, provide a tuple of all
                possible pressure levels.
            separate_perceiver (tuple[str, ...], optional): In the decoder, use a separate Perceiver
                for specific atmospheric variables. This can be helpful at fine-tuning time to deal
                with variables that have a significantly different behaviour. If you want to enable
                this features, set this to the collection of variables that should be run on a
                separate Perceiver.
            modulation_heads (tuple[str, ...], optional): Names of every variable for which to
                enable an additional head, the so-called modulation head, that can be used to
                predict the difference.
        """
        super().__init__()

        # If additional modulation heads are required, simulate them as different variables with
        # the suffix `_mod`.
        surf_vars += tuple(f"{name}_mod" for name in surf_vars if name in modulation_heads)
        atmos_vars += tuple(f"{name}_mod" for name in atmos_vars if name in modulation_heads)
        if modulation_heads:
            separate_perceiver += tuple(f"{name}_mod" for name in separate_perceiver)

        self.patch_size = patch_size
        self.surf_vars = surf_vars
        self.atmos_vars = atmos_vars
        self.embed_dim = embed_dim
        self.level_condition = level_condition
        self.separate_perceiver = separate_perceiver
        self.modulation_heads = modulation_heads

        self.level_decoder = PerceiverResampler(
            latent_dim=embed_dim,
            context_dim=embed_dim,
            depth=depth,
            head_dim=head_dim,
            num_heads=num_heads,
            mlp_ratio=mlp_ratio,
            drop=drop_rate,
            residual_latent=True,
            ln_eps=perceiver_ln_eps,
        )
        if self.separate_perceiver:
            self.level_decoder_alternate = PerceiverResampler(
                latent_dim=embed_dim,
                context_dim=embed_dim,
                depth=depth,
                head_dim=head_dim,
                num_heads=num_heads,
                mlp_ratio=mlp_ratio,
                drop=drop_rate,
                residual_latent=True,
                ln_eps=perceiver_ln_eps,
            )

        self.surf_heads = nn.ParameterDict(
            {name: LinearPatchReconstruction(embed_dim, patch_size**2) for name in surf_vars}
        )
        if not self.level_condition:
            self.atmos_heads = nn.ParameterDict(
                {name: LinearPatchReconstruction(embed_dim, patch_size**2) for name in atmos_vars}
            )
        else:
            self.atmos_heads = nn.ParameterDict(
                {
                    name: LevelConditioned(
                        lambda: LinearPatchReconstruction(embed_dim, patch_size**2),
                        levels=self.level_condition,
                        levels_dim=-2,
                    )
                    for name in atmos_vars
                }
            )

        self.atmos_levels_embed = nn.Linear(embed_dim, embed_dim)

        self.apply(init_weights)

    def deaggregate_levels(
        self,
        level_embed: torch.Tensor,
        x: torch.Tensor,
        level_decoder: nn.Module,
    ) -> torch.Tensor:
        """Deaggregate pressure level information.

        Args:
            level_embed (torch.Tensor): Level embedding of shape `(B, L, C, D)`.
            x (torch.Tensor): Aggregated input of shape `(B, L, C', D)`.
            level_decoder (nn.Module): Pressure level decoder.

        Returns:
            torch.Tensor: Deaggregate output of shape `(B, L, C, D)`.
        """
        B, L, C, D = level_embed.shape
        level_embed = level_embed.flatten(0, 1)  # (BxL, C, D)
        x = x.flatten(0, 1)  # (BxL, C', D)
        _msg = f"Batch size mismatch. Found {level_embed.size(0)} and {x.size(0)}."
        assert level_embed.size(0) == x.size(0), _msg
        assert len(level_embed.shape) == 3, f"Expected 3 dims, found {level_embed.dims()}."
        assert x.dim() == 3, f"Expected 3 dims, found {x.dim()}."

        x = level_decoder(level_embed, x)  # (BxL, C, D)
        x = x.reshape(B, L, C, D)
        return x

    def forward(
        self,
        x: torch.Tensor,
        batch: Batch,
        patch_res: tuple[int, int, int],
        lead_times: torch.Tensor,
    ) -> Batch:
        """Forward pass.

        Args:
            x (torch.Tensor): Backbone output of shape `(B, L, D)`.
            batch (:class:`aurora.Batch`): Batch to make predictions for.
            patch_res (tuple[int, int, int]): Patch resolution
            lead_times (torch.Tensor): Lead times of shape `(batch,)` in hours.

        Returns:
            :class:`aurora.batch.Batch`: Prediction for `batch`.
        """
        surf_vars = tuple(batch.surf_vars.keys())
        atmos_vars = tuple(batch.atmos_vars.keys())
        atmos_levels = batch.metadata.atmos_levels

        # If additional modulation heads are required, simulate them as different variables with
        # the suffix `_mod`.
        surf_vars += tuple(f"{name}_mod" for name in surf_vars if name in self.modulation_heads)
        atmos_vars += tuple(f"{name}_mod" for name in atmos_vars if name in self.modulation_heads)

        # Compress the latent dimension from the U-net skip concatenation.
        B, L, D = x.shape

        # Extract the lat, lon and convert to float32.
        lat, lon = batch.metadata.lat, batch.metadata.lon
        check_lat_lon_dtype(lat, lon)
        lat, lon = lat.to(dtype=torch.float32), lon.to(dtype=torch.float32)
        H, W = lat.shape[0], lon.shape[-1]

        # Unwrap the latent level dimension.
        x = rearrange(
            x,
            "B (C H W) D -> B (H W) C D",
            C=patch_res[0],
            H=patch_res[1],
            W=patch_res[2],
        )

        # Decode surface vars. Run the head for every surface-level variable.
        x_surf = torch.stack([self.surf_heads[name](x[..., :1, :]) for name in surf_vars], dim=-1)
        x_surf = x_surf.reshape(*x_surf.shape[:3], -1)  # (B, L, 1, V_S*p*p)
        surf_preds = unpatchify(x_surf, len(surf_vars), H, W, self.patch_size)
        surf_preds = surf_preds.squeeze(2)  # (B, V_S, H, W)

        # Embed the atmospheric levels.
        atmos_levels_encode = levels_expansion(
            torch.tensor(atmos_levels, device=x.device), self.embed_dim
        ).to(dtype=x.dtype)
        levels_embed = self.atmos_levels_embed(atmos_levels_encode)  # (C_A, D)

        # De-aggregate the hidden levels into the physical levels.
        levels_embed = levels_embed.expand(B, x.size(1), -1, -1)
        x_atmos = self.deaggregate_levels(
            levels_embed,
            x[..., 1:, :],
            self.level_decoder,
        )  # (B, L, C_A, D)
        if self.separate_perceiver:
            x_atmos_alternate = self.deaggregate_levels(
                levels_embed,
                x[..., 1:, :],
                self.level_decoder_alternate,
            )
        else:
            # `x_atmos_alternate` won't be used, but we define the variable anyway for type
            # stability.
            x_atmos_alternate = x_atmos

        # Decode the atmospheric vars. Per variable, first determine whether the main or alternate
        # Perceiver pressure level decoder should be used.
        head_inputs = [
            x_atmos if name not in self.separate_perceiver else x_atmos_alternate
            for name in atmos_vars
        ]
        if not self.level_condition:
            x_atmos = torch.stack(
                [self.atmos_heads[name](x) for name, x in zip(atmos_vars, head_inputs)],
                dim=-1,
            )
        else:
            x_atmos = torch.stack(
                [
                    self.atmos_heads[name](x, levels=atmos_levels)
                    for name, x in zip(atmos_vars, head_inputs)
                ],
                dim=-1,
            )
        x_atmos = x_atmos.reshape(*x_atmos.shape[:3], -1)  # (B, L, C_A, V_A*p*p)
        atmos_preds = unpatchify(x_atmos, len(atmos_vars), H, W, self.patch_size)

        # Compute output times from per-sample lead times.
        pred_time = tuple(
            t + timedelta(hours=float(lead_times[i])) for i, t in enumerate(batch.metadata.time)
        )

        return Batch(
            {v: surf_preds[:, i] for i, v in enumerate(surf_vars)},
            batch.static_vars,
            {v: atmos_preds[:, i] for i, v in enumerate(atmos_vars)},
            Metadata(
                lat=lat,
                lon=lon,
                time=pred_time,
                atmos_levels=atmos_levels,
                rollout_step=batch.metadata.rollout_step + 1,
            ),
        )