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"""Diffusion Head."""
from collections.abc import Callable
from flax_model.alphafold3.common import base_config
from flax_model.alphafold3.model import feat_batch
from flax_model.alphafold3.model import model_config
from flax_model.alphafold3.model.components import haiku_modules as hm
from flax_model.alphafold3.model.components import utils
from flax_model.alphafold3.model.network import atom_cross_attention
from flax_model.alphafold3.model.network import diffusion_transformer
from flax_model.alphafold3.model.network import featurization
from flax_model.alphafold3.model.network import noise_level_embeddings
#import chex
import haiku as hk
import jax
import jax.numpy as jnp
# Carefully measured by averaging multimer training set.
SIGMA_DATA = 16.0
def random_rotation(key):
# Create a random rotation (Gram-Schmidt orthogonalization of two
# random normal vectors)
v0, v1 = jax.random.normal(key, shape=(2, 3))
e0 = v0 / jnp.maximum(1e-10, jnp.linalg.norm(v0))
v1 = v1 - e0 * jnp.dot(v1, e0, precision=jax.lax.Precision.HIGHEST)
e1 = v1 / jnp.maximum(1e-10, jnp.linalg.norm(v1))
e2 = jnp.cross(e0, e1)
return jnp.stack([e0, e1, e2])
def random_augmentation(
rng_key: jnp.ndarray,
positions: jnp.ndarray,
mask: jnp.ndarray,
) -> jnp.ndarray:
"""Apply random rigid augmentation.
Args:
rng_key: random key
positions: atom positions of shape (<common_axes>, 3)
mask: per-atom mask of shape (<common_axes>,)
Returns:
Transformed positions with the same shape as input positions.
"""
rotation_key, translation_key = jax.random.split(rng_key)
center = utils.mask_mean(
mask[..., None], positions, axis=(-2, -3), keepdims=True, eps=1e-6
)
rot = random_rotation(rotation_key)
translation = jax.random.normal(translation_key, shape=(3,))
augmented_positions = (
jnp.einsum(
'...i,ij->...j',
positions - center,
rot,
precision=jax.lax.Precision.HIGHEST,
)
+ translation
)
return augmented_positions * mask[..., None]
def noise_schedule(t, smin=0.0004, smax=160.0, p=7):
return (
SIGMA_DATA
* (smax ** (1 / p) + t * (smin ** (1 / p) - smax ** (1 / p))) ** p
)
class ConditioningConfig(base_config.BaseConfig):
pair_channel: int
seq_channel: int
prob: float
class SampleConfig(base_config.BaseConfig):
steps: int
gamma_0: float = 0.8
gamma_min: float = 1.0
noise_scale: float = 1.003
step_scale: float = 1.5
num_samples: int = 1
class DiffusionHead(hk.Module):
"""Denoising Diffusion Head."""
class Config(
atom_cross_attention.AtomCrossAttEncoderConfig,
atom_cross_attention.AtomCrossAttDecoderConfig,
):
"""Configuration for DiffusionHead."""
eval_batch_size: int = 5
eval_batch_dim_shard_size: int = 5
conditioning: ConditioningConfig = base_config.autocreate(
prob=0.8, pair_channel=128, seq_channel=384
)
eval: SampleConfig = base_config.autocreate(
num_samples=5,
steps=200,
)
transformer: diffusion_transformer.Transformer.Config = (
base_config.autocreate()
)
def __init__(
self,
config: Config,
global_config: model_config.GlobalConfig,
name='diffusion_head',
):
self.config = config
self.global_config = global_config
super().__init__(name=name)
@hk.transparent
def _conditioning(
self,
batch: feat_batch.Batch,
embeddings: dict[str, jnp.ndarray],
noise_level: jnp.ndarray,
use_conditioning: bool,
) -> tuple[jnp.ndarray, jnp.ndarray]:
single_embedding = use_conditioning * embeddings['single']
pair_embedding = use_conditioning * embeddings['pair']
rel_features = featurization.create_relative_encoding(
seq_features=batch.token_features,
max_relative_idx=32,
max_relative_chain=2,
).astype(pair_embedding.dtype)
features_2d = jnp.concatenate([pair_embedding, rel_features], axis=-1)
pair_cond = hm.Linear(
self.config.conditioning.pair_channel,
precision='highest',
name='pair_cond_initial_projection',
)(
hm.LayerNorm(
use_fast_variance=False,
create_offset=False,
name='pair_cond_initial_norm',
)(features_2d)
)
for idx in range(2):
pair_cond += diffusion_transformer.transition_block(
pair_cond, 2, self.global_config, name=f'pair_transition_{idx}'
)
target_feat = embeddings['target_feat']
features_1d = jnp.concatenate([single_embedding, target_feat], axis=-1)
single_cond = hm.LayerNorm(
use_fast_variance=False,
create_offset=False,
name='single_cond_initial_norm',
)(features_1d)
single_cond = hm.Linear(
self.config.conditioning.seq_channel,
precision='highest',
name='single_cond_initial_projection',
)(single_cond)
noise_embedding = noise_level_embeddings.noise_embeddings(
sigma_scaled_noise_level=noise_level / SIGMA_DATA
)
single_cond += hm.Linear(
self.config.conditioning.seq_channel,
precision='highest',
name='noise_embedding_initial_projection',
)(
hm.LayerNorm(
use_fast_variance=False,
create_offset=False,
name='noise_embedding_initial_norm',
)(noise_embedding)
)
for idx in range(2):
single_cond += diffusion_transformer.transition_block(
single_cond, 2, self.global_config, name=f'single_transition_{idx}'
)
return single_cond, pair_cond
def __call__(
self,
# positions_noisy.shape: (num_token, max_atoms_per_token, 3)
positions_noisy: jnp.ndarray,
noise_level: jnp.ndarray,
batch: feat_batch.Batch,
embeddings: dict[str, jnp.ndarray],
use_conditioning: bool,
) -> jnp.ndarray:
with utils.bfloat16_context():
# Get conditioning
trunk_single_cond, trunk_pair_cond = self._conditioning(
batch=batch,
embeddings=embeddings,
noise_level=noise_level,
use_conditioning=use_conditioning,
)
# Extract features
sequence_mask = batch.token_features.mask
atom_mask = batch.predicted_structure_info.atom_mask
# Position features
act = positions_noisy * atom_mask[..., None]
act = act / jnp.sqrt(noise_level**2 + SIGMA_DATA**2)
enc = atom_cross_attention.atom_cross_att_encoder(
token_atoms_act=act,
trunk_single_cond=embeddings['single'],
trunk_pair_cond=trunk_pair_cond,
config=self.config,
global_config=self.global_config,
batch=batch,
name='diffusion',
)
act = enc.token_act
# Token-token attention
# chex.assert_shape(act, (None, self.config.per_token_channels))
act = jnp.asarray(act, dtype=jnp.float32)
act += hm.Linear(
act.shape[-1],
precision='highest',
initializer=self.global_config.final_init,
name='single_cond_embedding_projection',
)(
hm.LayerNorm(
use_fast_variance=False,
create_offset=False,
name='single_cond_embedding_norm',
)(trunk_single_cond)
)
act = jnp.asarray(act, dtype=jnp.float32)
trunk_single_cond = jnp.asarray(trunk_single_cond, dtype=jnp.float32)
trunk_pair_cond = jnp.asarray(trunk_pair_cond, dtype=jnp.float32)
sequence_mask = jnp.asarray(sequence_mask, dtype=jnp.float32)
transformer = diffusion_transformer.Transformer(
self.config.transformer, self.global_config
)
act = transformer(
act=act,
single_cond=trunk_single_cond,
mask=sequence_mask,
pair_cond=trunk_pair_cond,
)
act = hm.LayerNorm(
use_fast_variance=False, create_offset=False, name='output_norm'
)(act)
# (n_tokens, per_token_channels)
# (Possibly) atom-granularity decoder
assert isinstance(enc, atom_cross_attention.AtomCrossAttEncoderOutput)
position_update = atom_cross_attention.atom_cross_att_decoder(
token_act=act,
enc=enc,
config=self.config,
global_config=self.global_config,
batch=batch,
name='diffusion',
)
skip_scaling = SIGMA_DATA**2 / (noise_level**2 + SIGMA_DATA**2)
out_scaling = (
noise_level * SIGMA_DATA / jnp.sqrt(noise_level**2 + SIGMA_DATA**2)
)
# End `with utils.bfloat16_context()`.
return (
skip_scaling * positions_noisy + out_scaling * position_update
) * atom_mask[..., None]
def sample(
denoising_step: Callable[[jnp.ndarray, jnp.ndarray], jnp.ndarray],
batch: feat_batch.Batch,
key: jnp.ndarray,
config: SampleConfig,
) -> dict[str, jnp.ndarray]:
"""Sample using denoiser on batch.
Args:
denoising_step: the denoising function.
batch: the batch
key: random key
config: config for the sampling process (e.g. number of denoising steps,
etc.)
Returns:
a dict
{
'atom_positions': jnp.array(...) # shape (<common_axes>, 3)
'mask': jnp.array(...) # shape (<common_axes>,)
}
where the <common_axes> are
(num_samples, num_tokens, max_atoms_per_token)
"""
mask = batch.predicted_structure_info.atom_mask
def apply_denoising_step(carry, noise_level):
key, positions, noise_level_prev = carry
key, key_noise, key_aug = jax.random.split(key, 3)
positions = random_augmentation(
rng_key=key_aug, positions=positions, mask=mask
)
gamma = config.gamma_0 * (noise_level > config.gamma_min)
t_hat = noise_level_prev * (1 + gamma)
noise_scale = config.noise_scale * jnp.sqrt(t_hat**2 - noise_level_prev**2)
noise = noise_scale * jax.random.normal(key_noise, positions.shape)
positions_noisy = positions + noise
positions_denoised = denoising_step(positions_noisy, t_hat)
grad = (positions_noisy - positions_denoised) / t_hat
d_t = noise_level - t_hat
positions_out = positions_noisy + config.step_scale * d_t * grad
return (key, positions_out, noise_level), positions_out
num_samples = config.num_samples
noise_levels = noise_schedule(jnp.linspace(0, 1, config.steps + 1))
key, noise_key = jax.random.split(key)
positions = jax.random.normal(noise_key, (num_samples,) + mask.shape + (3,))
positions *= noise_levels[0]
init = (
jax.random.split(key, num_samples),
positions,
jnp.tile(noise_levels[None, 0], (num_samples,)),
)
apply_denoising_step = hk.vmap(
apply_denoising_step, in_axes=(0, None), split_rng=(not hk.running_init())
)
result, _ = hk.scan(apply_denoising_step, init, noise_levels[1:], unroll=4)
_, positions_out, _ = result
final_dense_atom_mask = jnp.tile(mask[None], (num_samples, 1, 1))
return {'atom_positions': positions_out, 'mask': final_dense_atom_mask}
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