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"""Confidence Head."""
from flax_model.alphafold3.common import base_config
from flax_model.alphafold3.model import model_config
from flax_model.alphafold3.model.atom_layout import atom_layout
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 modules
from flax_model.alphafold3.model.network import template_modules
import haiku as hk
import jax
import jax.numpy as jnp
def _safe_norm(x, keepdims, axis, eps=1e-8):
return jnp.sqrt(eps + jnp.sum(jnp.square(x), axis=axis, keepdims=keepdims))
class ConfidenceHead(hk.Module):
"""Head to predict the distance errors in a prediction."""
class PAEConfig(base_config.BaseConfig):
max_error_bin: float = 31.0
num_bins: int = 64
class Config(base_config.BaseConfig):
"""Configuration for ConfidenceHead."""
pairformer: modules.PairFormerIteration.Config = base_config.autocreate(
single_attention=base_config.autocreate(),
single_transition=base_config.autocreate(),
num_layer=4,
)
max_error_bin: float = 31.0
num_plddt_bins: int = 50
num_bins: int = 64
no_embedding_prob: float = 0.2
pae: 'ConfidenceHead.PAEConfig' = base_config.autocreate()
dgram_features: template_modules.DistogramFeaturesConfig = (
base_config.autocreate()
)
def __init__(
self,
config: Config,
global_config: model_config.GlobalConfig,
name='confidence_head',
):
super().__init__(name=name)
self.config = config
self.global_config = global_config
def _embed_features(
self,
dense_atom_positions,
token_atoms_to_pseudo_beta,
pair_mask,
pair_act,
target_feat,
):
out = hm.Linear(pair_act.shape[-1], name='left_target_feat_project')(
target_feat
).astype(pair_act.dtype)
out += hm.Linear(pair_act.shape[-1], name='right_target_feat_project')(
target_feat
).astype(pair_act.dtype)[:, None]
positions = atom_layout.convert(
token_atoms_to_pseudo_beta,
dense_atom_positions,
layout_axes=(-3, -2),
)
dgram = template_modules.dgram_from_positions(
positions, self.config.dgram_features
)
dgram *= pair_mask[..., None]
out += hm.Linear(pair_act.shape[-1], name='distogram_feat_project')(
dgram.astype(pair_act.dtype)
)
return out
def __call__(
self,
dense_atom_positions: jnp.ndarray,
embeddings: dict[str, jnp.ndarray],
seq_mask: jnp.ndarray,
token_atoms_to_pseudo_beta: atom_layout.GatherInfo,
asym_id: jnp.ndarray,
) -> dict[str, jnp.ndarray]:
"""Builds ConfidenceHead module.
Arguments:
dense_atom_positions: [N_res, N_atom, 3] array of positions.
embeddings: Dictionary of representations.
seq_mask: Sequence mask.
token_atoms_to_pseudo_beta: Pseudo beta info for atom tokens.
asym_id: Asym ID token features.
Returns:
Dictionary of results.
"""
dtype = (
jnp.bfloat16 if self.global_config.bfloat16 == 'all' else jnp.float32
)
with utils.bfloat16_context():
seq_mask_cast = seq_mask.astype(dtype)
pair_mask = seq_mask_cast[:, None] * seq_mask_cast[None, :]
pair_mask = pair_mask.astype(dtype)
pair_act = embeddings['pair'].astype(dtype)
single_act = embeddings['single'].astype(dtype)
target_feat = embeddings['target_feat'].astype(dtype)
num_residues = seq_mask.shape[0]
num_pair_channels = pair_act.shape[2]
pair_act += self._embed_features(
dense_atom_positions,
token_atoms_to_pseudo_beta,
pair_mask,
pair_act,
target_feat,
)
def pairformer_fn(act):
pair_act, single_act = act
return modules.PairFormerIteration(
self.config.pairformer,
self.global_config,
with_single=True,
name='confidence_pairformer',
)(
act=pair_act,
single_act=single_act,
pair_mask=pair_mask,
seq_mask=seq_mask,
)
pairformer_stack = hk.experimental.layer_stack(
self.config.pairformer.num_layer
)(pairformer_fn)
pair_act, single_act = pairformer_stack((pair_act, single_act))
pair_act = pair_act.astype(jnp.float32)
assert pair_act.shape == (num_residues, num_residues, num_pair_channels)
# Produce logits to predict a distogram of pairwise distance errors
# between the input prediction and the ground truth.
# Shape (num_res, num_res, num_bins)
left_distance_logits = hm.Linear(
self.config.num_bins,
initializer=self.global_config.final_init,
name='left_half_distance_logits',
)(hm.LayerNorm(name='logits_ln')(pair_act))
right_distance_logits = left_distance_logits
distance_logits = left_distance_logits + jnp.swapaxes( # Symmetrize.
right_distance_logits, -2, -3
)
# Shape (num_bins,)
distance_breaks = jnp.linspace(
0.0, self.config.max_error_bin, self.config.num_bins - 1
)
step = distance_breaks[1] - distance_breaks[0]
# Add half-step to get the center
bin_centers = distance_breaks + step / 2
# Add a catch-all bin at the end.
bin_centers = jnp.concatenate(
[bin_centers, bin_centers[-1:] + step], axis=0
)
distance_probs = jax.nn.softmax(distance_logits, axis=-1)
pred_distance_error = (
jnp.sum(distance_probs * bin_centers, axis=-1) * pair_mask
)
average_pred_distance_error = jnp.sum(
pred_distance_error, axis=[-2, -1]
) / jnp.sum(pair_mask, axis=[-2, -1])
# Predicted aligned error
pae_outputs = {}
# Shape (num_res, num_res, num_bins)
pae_logits = hm.Linear(
self.config.pae.num_bins,
initializer=self.global_config.final_init,
name='pae_logits',
)(hm.LayerNorm(name='pae_logits_ln')(pair_act))
# Shape (num_bins,)
pae_breaks = jnp.linspace(
0.0, self.config.pae.max_error_bin, self.config.pae.num_bins - 1
)
step = pae_breaks[1] - pae_breaks[0]
# Add half-step to get the center
bin_centers = pae_breaks + step / 2
# Add a catch-all bin at the end.
bin_centers = jnp.concatenate(
[bin_centers, bin_centers[-1:] + step], axis=0
)
pae_probs = jax.nn.softmax(pae_logits, axis=-1)
seq_mask_bool = seq_mask.astype(bool)
pair_mask_bool = seq_mask_bool[:, None] * seq_mask_bool[None, :]
pae = jnp.sum(pae_probs * bin_centers, axis=-1) * pair_mask_bool
pae_outputs.update({
'full_pae': pae,
})
# The pTM is computed outside of bfloat16 context.
tmscore_adjusted_pae_global, tmscore_adjusted_pae_interface = (
self._get_tmscore_adjusted_pae(
asym_id=asym_id,
seq_mask=seq_mask,
pair_mask=pair_mask_bool,
bin_centers=bin_centers,
pae_probs=pae_probs,
)
)
pae_outputs.update({
'tmscore_adjusted_pae_global': tmscore_adjusted_pae_global,
'tmscore_adjusted_pae_interface': tmscore_adjusted_pae_interface,
})
single_act = single_act.astype('float32')
# pLDDT
# Shape (num_res, num_atom, num_bins)
plddt_logits = hm.Linear(
(dense_atom_positions.shape[-2], self.config.num_plddt_bins),
initializer=self.global_config.final_init,
name='plddt_logits',
)(hm.LayerNorm(name='plddt_logits_ln')(single_act))
bin_width = 1.0 / self.config.num_plddt_bins
bin_centers = jnp.arange(0.5 * bin_width, 1.0, bin_width)
predicted_lddt = jnp.sum(
jax.nn.softmax(plddt_logits, axis=-1) * bin_centers, axis=-1
)
predicted_lddt = predicted_lddt * 100.0
# Experimentally resolved
# Shape (num_res, num_atom, 2)
experimentally_resolved_logits = hm.Linear(
(dense_atom_positions.shape[-2], 2),
initializer=self.global_config.final_init,
name='experimentally_resolved_logits',
)(hm.LayerNorm(name='experimentally_resolved_ln')(single_act))
predicted_experimentally_resolved = jax.nn.softmax(
experimentally_resolved_logits, axis=-1
)[..., 1]
return {
'predicted_lddt': predicted_lddt,
'predicted_experimentally_resolved': predicted_experimentally_resolved,
'full_pde': pred_distance_error,
'average_pde': average_pred_distance_error,
**pae_outputs,
}
def _get_tmscore_adjusted_pae(
self,
asym_id: jnp.ndarray,
seq_mask: jnp.ndarray,
pair_mask: jnp.ndarray,
bin_centers: jnp.ndarray,
pae_probs: jnp.ndarray,
):
def get_tmscore_adjusted_pae(num_interface_tokens, bin_centers, pae_probs):
# Clip to avoid negative/undefined d0.
clipped_num_res = jnp.maximum(num_interface_tokens, 19)
# Compute d_0(num_res) as defined by TM-score, eqn. (5) in
# http://zhanglab.ccmb.med.umich.edu/papers/2004_3.pdf
# Yang & Skolnick "Scoring function for automated
# assessment of protein structure template quality" 2004.
d0 = 1.24 * (clipped_num_res - 15) ** (1.0 / 3) - 1.8
# Make compatible with [num_tokens, num_tokens, num_bins]
d0 = d0[:, :, None]
bin_centers = bin_centers[None, None, :]
# TM-Score term for every bin.
tm_per_bin = 1.0 / (1 + jnp.square(bin_centers) / jnp.square(d0))
# E_distances tm(distance).
predicted_tm_term = jnp.sum(pae_probs * tm_per_bin, axis=-1)
return predicted_tm_term
# Interface version
x = asym_id[None, :] == asym_id[:, None]
num_chain_tokens = jnp.sum(x * pair_mask, axis=-1)
num_interface_tokens = num_chain_tokens[None, :] + num_chain_tokens[:, None]
# Don't double-count within a single chain
num_interface_tokens -= x * (num_interface_tokens // 2)
num_interface_tokens = num_interface_tokens * pair_mask
num_global_tokens = jnp.full(
shape=pair_mask.shape, fill_value=seq_mask.sum()
)
assert num_global_tokens.dtype == 'int32'
assert num_interface_tokens.dtype == 'int32'
global_apae = get_tmscore_adjusted_pae(
num_global_tokens, bin_centers, pae_probs
)
interface_apae = get_tmscore_adjusted_pae(
num_interface_tokens, bin_centers, pae_probs
)
return global_apae, interface_apae
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