AlloGen / code /scripts /pxdesign_guidance /qtheta_pxdesign.py
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AlloGen public release: Q_theta scorer + PXDesign guidance + Colab demo
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"""
Core Q_theta guidance module for PXDesign integration.
Provides differentiable Q_theta scoring for PXDesign's atom coordinate format.
Key responsibilities:
- Extract binder backbone (N, CA, C, O) from PXDesign's flat atom array
- Align binder to reference receptor frames via differentiable Kabsch
- Compute selectivity gradient ∇[Q(holo,Y) - Q(apo,Y)] w.r.t. atom coords
- Works in pxdesign env (PyTorch 2.3.1) using pure-PyTorch scorer (no e3nn)
Usage:
guidance = QThetaPXDesignGuidance(
checkpoint='results/checkpoints_cam_v3/best_phase2.pt',
ref_holo='data/pdbs/cam_holo/3CLN.pdb',
ref_apo='data/pdbs/cam_apo/1CFD.pdb',
ref_chain='A',
device='cuda:0',
)
# Inside PXDesign diffusion loop:
grad = guidance.compute_guidance_gradient(x_denoised, input_feature_dict, t_hat)
x_denoised = x_denoised + scale * grad
"""
import os
import sys
import logging
import numpy as np
import torch
logger = logging.getLogger(__name__)
# Add Allo-Designer code directory to path
_ALLO_CODE_DIR = os.path.abspath(os.path.join(os.path.dirname(__file__), '..', '..'))
if _ALLO_CODE_DIR not in sys.path:
sys.path.insert(0, _ALLO_CODE_DIR)
def differentiable_kabsch(mobile, target):
"""
Differentiable Kabsch alignment using SVD.
Args:
mobile: [N, 3] tensor (points to align FROM)
target: [N, 3] tensor (points to align TO)
Returns:
R: [3, 3] rotation matrix
t: [3] translation vector
Such that aligned = (mobile - mobile_center) @ R.T + target_center
"""
mobile_center = mobile.mean(dim=0)
target_center = target.mean(dim=0)
mobile_centered = mobile - mobile_center
target_centered = target - target_center
H = mobile_centered.T @ target_centered # [3, 3]
U, S, Vh = torch.linalg.svd(H)
V = Vh.T
# Ensure proper rotation (det > 0)
d = torch.det(V @ U.T)
sign_matrix = torch.diag(torch.tensor([1.0, 1.0, torch.sign(d)],
device=mobile.device, dtype=mobile.dtype))
R = V @ sign_matrix @ U.T # [3, 3]
t = target_center - mobile_center @ R.T # [3]
return R, t
class QThetaPXDesignGuidance:
"""
Q_theta guidance for PXDesign diffusion process.
Lazily initializes the scorer and reference structures on first use.
Handles extraction of binder backbone from PXDesign's flat atom array
and alignment to reference receptor frames.
"""
def __init__(self, checkpoint, ref_holo, ref_apo, ref_chain='A',
device='cuda:0', cutoff=8.0, esm_target='cam'):
self.checkpoint = checkpoint
self.ref_holo = ref_holo
self.ref_apo = ref_apo
self.ref_chain = ref_chain
self.device = torch.device(device)
self.cutoff = cutoff
self.esm_target = esm_target
self._initialized = False
self.dq = None
self.ref_holo_ca = None
self.ref_apo_ca = None
def _lazy_init(self):
"""Initialize Q_theta scorer and load reference structures."""
if self._initialized:
return
from models.differentiable_features import DifferentiableQTheta
from utils.pdb_utils import load_structure, get_residues, get_backbone_coords
logger.info(f"Loading Q_theta checkpoint: {self.checkpoint}")
self.dq = DifferentiableQTheta(self.checkpoint, device=str(self.device))
self.dq.load_receptor(self.ref_holo, chain=self.ref_chain, label='holo',
esm_target=self.esm_target)
self.dq.load_receptor(self.ref_apo, chain=self.ref_chain, label='apo',
esm_target=self.esm_target)
# Cache reference CA coords for alignment
holo_model = load_structure(self.ref_holo)
holo_res = get_residues(holo_model[self.ref_chain])
holo_coords, _ = get_backbone_coords(holo_res)
self.ref_holo_ca = torch.from_numpy(holo_coords[:, 1, :]).float().to(self.device)
apo_model = load_structure(self.ref_apo)
apo_res = get_residues(apo_model[self.ref_chain])
apo_coords, _ = get_backbone_coords(apo_res)
self.ref_apo_ca = torch.from_numpy(apo_coords[:, 1, :]).float().to(self.device)
self._initialized = True
logger.info(f"Q_theta guidance initialized: holo={len(holo_res)} res, apo={len(apo_res)} res")
def extract_binder_backbone(self, x_coords, input_feature_dict):
"""
Extract binder backbone atoms (N, CA, C, O) from PXDesign's flat atom array.
PXDesign stores all atoms in a flat [N_atom, 3] array. Entity annotations
identify which atoms belong to the designed binder (entity_id=2 typically,
or the last entity). We extract backbone atoms for each binder residue.
Args:
x_coords: [N_sample, N_atom, 3] — current coordinates from diffusion
input_feature_dict: dict with atom_to_token_idx, entity_id, etc.
Returns:
binder_bb: [N_sample, N_binder_res, 4, 3] — backbone coords (N, CA, C, O)
binder_mask: [N_binder_res] — validity mask
rec_bb: [N_rec_res, 4, 3] — receptor backbone coords (from condition)
rec_mask: [N_rec_res] — receptor validity mask
binder_atom_indices: [N_binder_bb_atoms] — indices into flat atom array
"""
atom_to_token = input_feature_dict['atom_to_token_idx'] # [N_atom]
if atom_to_token.dim() > 1:
atom_to_token = atom_to_token.squeeze(0)
# Identify binder vs receptor tokens
# In PXDesign: design_token_mask=True for binder tokens
design_token_mask = input_feature_dict.get('design_token_mask', None)
if design_token_mask is not None:
if design_token_mask.dim() > 1:
design_token_mask = design_token_mask.squeeze(0)
binder_tokens = torch.where(design_token_mask)[0]
rec_tokens = torch.where(~design_token_mask)[0]
else:
# Fallback: use entity_id (binder is typically entity_id=2, the last entity)
entity_id = input_feature_dict['entity_id']
if entity_id.dim() > 1:
entity_id = entity_id.squeeze(0)
max_entity = entity_id.max()
binder_tokens = torch.where(entity_id == max_entity)[0]
rec_tokens = torch.where(entity_id != max_entity)[0]
# Map tokens to atoms
# For standard amino acids, atom order within each token is:
# N(0), CA(1), C(2), O(3), CB(4), ...
# We need atoms 0-3 (N, CA, C, O) per token
# Get atom indices for each binder token
n_binder_res = len(binder_tokens)
if n_binder_res == 0:
return None
# Find atoms belonging to each binder residue
binder_bb_list = []
binder_atom_idx_list = []
for tok_idx in binder_tokens:
atom_indices = torch.where(atom_to_token == tok_idx.item())[0]
if len(atom_indices) >= 4:
# First 4 atoms are N, CA, C, O for standard amino acids
bb_atoms = atom_indices[:4]
binder_bb_list.append(bb_atoms)
binder_atom_idx_list.append(bb_atoms)
if not binder_bb_list:
return None
n_binder_res = len(binder_bb_list)
binder_bb_indices = torch.stack(binder_bb_list) # [N_binder, 4]
all_binder_atom_indices = torch.cat(binder_atom_idx_list) # [N_binder * 4]
# Extract binder backbone coords for all samples
# x_coords: [N_sample, N_atom, 3]
binder_bb = x_coords[:, binder_bb_indices, :] # [N_sample, N_binder, 4, 3]
binder_mask = torch.ones(n_binder_res, dtype=torch.bool, device=x_coords.device)
# Extract receptor backbone from x_coords or condition_coordinate.
# PXDesign stores condition_coordinate in label_dict (not input_feature_dict),
# so we extract receptor backbone from x_coords directly. In the diffusion
# process, receptor atoms are conditioned at their reference positions.
# Try condition_coordinate first (if available), then fall back to x_coords.
cond_coords = input_feature_dict.get('condition_coordinate', None)
if cond_coords is None:
# Also try label_dict nesting
label_dict = input_feature_dict.get('label_dict', None)
if label_dict is not None:
cond_coords = label_dict.get('condition_coordinate', None)
rec_bb = None
rec_mask = None
# Get receptor backbone atoms
rec_bb_list = []
for tok_idx in rec_tokens:
atom_indices = torch.where(atom_to_token == tok_idx.item())[0]
if len(atom_indices) >= 4:
rec_bb_list.append(atom_indices[:4])
if rec_bb_list:
rec_bb_indices = torch.stack(rec_bb_list) # [N_rec, 4]
if cond_coords is not None:
if cond_coords.dim() > 2:
cond_coords = cond_coords.squeeze(0)
rec_bb = cond_coords[rec_bb_indices, :] # [N_rec, 4, 3]
else:
# Fallback: extract receptor coords from x_coords (sample 0)
# Receptor atoms are conditioned and constant across samples
rec_bb = x_coords[0, rec_bb_indices, :].detach() # [N_rec, 4, 3]
rec_mask = torch.ones(len(rec_bb_list), dtype=torch.bool,
device=x_coords.device)
return {
'binder_bb': binder_bb, # [N_sample, N_binder, 4, 3]
'binder_mask': binder_mask, # [N_binder]
'rec_bb': rec_bb, # [N_rec, 4, 3] or None
'rec_mask': rec_mask, # [N_rec] or None
'binder_atom_indices': binder_bb_indices, # [N_binder, 4]
'all_binder_atom_indices': all_binder_atom_indices, # [N_binder * 4]
}
def align_and_score(self, binder_bb, rec_bb, rec_mask, receptor_label):
"""
Align binder to a reference receptor frame and score with Q_theta.
Uses the receptor chain from the design to compute Kabsch alignment
to the reference receptor, then transforms the binder accordingly.
Args:
binder_bb: [N_binder, 4, 3] — binder backbone coords (requires_grad)
rec_bb: [N_rec, 4, 3] — receptor backbone coords
rec_mask: [N_rec] bool
receptor_label: 'holo' or 'apo'
Returns:
score: scalar tensor, differentiable w.r.t. binder_bb
"""
if receptor_label == 'holo':
ref_ca = self.ref_holo_ca
else:
ref_ca = self.ref_apo_ca
# Get CA atoms from receptor
rec_ca = rec_bb[:, 1, :] # [N_rec, 3]
# Use overlapping residues for alignment (take min length)
n_align = min(len(rec_ca), len(ref_ca))
if n_align < 5:
return torch.zeros(1, device=binder_bb.device, dtype=binder_bb.dtype,
requires_grad=True).squeeze()
mobile_ca = rec_ca[:n_align].detach()
target_ca = ref_ca[:n_align].detach()
# Compute Kabsch alignment (detached — no gradient through rotation)
R, t = differentiable_kabsch(mobile_ca, target_ca)
R = R.detach()
t = t.detach()
# Apply transform to binder (gradient flows through binder_bb)
binder_flat = binder_bb.reshape(-1, 3) # [N_binder*4, 3]
aligned = binder_flat @ R.T + t # [N_binder*4, 3]
aligned_bb = aligned.reshape(-1, 4, 3) # [N_binder, 4, 3]
# Score with Q_theta
binder_mask = torch.ones(aligned_bb.shape[0], dtype=torch.bool,
device=binder_bb.device)
score = self.dq.score(aligned_bb, binder_mask, receptor_label=receptor_label,
cutoff=self.cutoff)
return score
def compute_guidance_gradient(self, x_denoised, input_feature_dict, t_hat=None,
sample_idx=0):
"""
Compute Q_theta selectivity gradient for guidance.
Args:
x_denoised: [N_sample, N_atom, 3] — denoised coordinates from diffusion net
input_feature_dict: PXDesign input features dict
t_hat: current noise level (for logging/scaling)
sample_idx: which sample to compute gradient for (or -1 for all)
Returns:
gradient: [N_sample, N_atom, 3] — gradient to add to x_denoised
(non-zero only at binder backbone atom positions)
margin: float — current selectivity margin
"""
self._lazy_init()
extraction = self.extract_binder_backbone(x_denoised.detach(), input_feature_dict)
if extraction is None:
return torch.zeros_like(x_denoised), 0.0
binder_bb = extraction['binder_bb'] # [N_sample, N_binder, 4, 3]
binder_mask = extraction['binder_mask'] # [N_binder]
rec_bb = extraction['rec_bb'] # [N_rec, 4, 3]
rec_mask = extraction['rec_mask'] # [N_rec]
binder_atom_indices = extraction['binder_atom_indices'] # [N_binder, 4]
if rec_bb is None:
return torch.zeros_like(x_denoised), 0.0
N_sample = x_denoised.shape[0]
gradient = torch.zeros_like(x_denoised)
margins = []
# Ensure receptor is float32 for Q_theta scoring
if rec_bb is not None:
rec_bb = rec_bb.float()
# Process each sample
indices = range(N_sample) if sample_idx == -1 else [sample_idx]
for si in indices:
# Make binder coords differentiable, cast to float32 for Q_theta
binder_si = binder_bb[si].clone().float().requires_grad_(True) # [N_binder, 4, 3]
try:
with torch.enable_grad():
q_holo = self.align_and_score(binder_si, rec_bb, rec_mask, 'holo')
q_apo = self.align_and_score(binder_si, rec_bb, rec_mask, 'apo')
margin = q_holo - q_apo
margin.backward()
if binder_si.grad is not None and not torch.isnan(binder_si.grad).any():
# Map gradient back to full atom array
grad_bb = binder_si.grad # [N_binder, 4, 3]
for ri in range(len(binder_atom_indices)):
for ai in range(4):
atom_idx = binder_atom_indices[ri, ai]
gradient[si, atom_idx] = grad_bb[ri, ai]
margins.append(margin.item())
else:
margins.append(0.0)
except Exception as e:
logger.debug(f"Gradient computation failed for sample {si}: {e}")
margins.append(0.0)
avg_margin = np.mean(margins) if margins else 0.0
return gradient, avg_margin
def score_design(self, pdb_path, rec_chain='A', binder_chain='B'):
"""
Score a single PXDesign output PDB/CIF (post-hoc, no gradient).
Handles PXDesign CIF files which use chain IDs like 'A0'/'B0' and
non-standard residue name 'xpb' for designed binder residues.
Returns:
dict with q_holo, q_apo, margin, or None on failure
"""
self._lazy_init()
from utils.pdb_utils import (
load_structure, get_residues, get_backbone_coords,
get_aa_indices, align_structures
)
try:
model = load_structure(pdb_path)
chains = {c.get_id(): c for c in model.get_chains()}
if len(chains) < 2:
return None
chain_ids = sorted(chains.keys())
# Identify receptor and binder
# PXDesign CIF uses chain IDs like 'A0', 'B0' instead of 'A', 'B'
rc, bc = None, None
if rec_chain in chains and binder_chain in chains:
rc, bc = rec_chain, binder_chain
else:
# Match by residue count: receptor matches reference length,
# binder is the other chain
ref_model = load_structure(self.ref_holo)
ref_res = get_residues(ref_model[self.ref_chain])
ref_len = len(ref_res)
for cid in chain_ids:
# Try standard residues first, then all residues
cres = get_residues(chains[cid])
if not cres:
cres = get_residues(chains[cid], only_standard=False)
n_res = len(cres)
if n_res > 0 and abs(n_res - ref_len) < ref_len * 0.3:
rc = cid
elif n_res > 0:
bc = cid
if rc is None or bc is None:
rc, bc = chain_ids[0], chain_ids[1]
rec_res = get_residues(chains[rc])
if not rec_res:
rec_res = get_residues(chains[rc], only_standard=False)
# For binder: PXDesign uses 'xpb' residue names (non-standard)
binder_res = get_residues(chains[bc])
if not binder_res:
binder_res = get_residues(chains[bc], only_standard=False)
if not rec_res or not binder_res:
return None
rec_coords, rec_mask = get_backbone_coords(rec_res)
binder_coords, binder_mask = get_backbone_coords(binder_res)
# Handle amino acid indices: use get_aa_indices for standard AAs,
# default to GLY (7) for non-standard (PXDesign 'xpb')
try:
aa_idx = get_aa_indices(binder_res)
except Exception:
aa_idx = np.zeros(len(binder_res), dtype=np.int64) # default to ALA
device = self.device
# Align to holo
rec_ca = rec_coords[:, 1, :]
ref_holo_ca_np = self.ref_holo_ca.cpu().numpy()
n_align = min(len(rec_ca), len(ref_holo_ca_np))
if n_align < 5:
return None
_, R_h = align_structures(rec_ca[:n_align], ref_holo_ca_np[:n_align])
center_h = rec_ca[:n_align].mean(0)
ref_center_h = ref_holo_ca_np[:n_align].mean(0)
aligned_holo = (binder_coords.reshape(-1, 3) - center_h) @ R_h.T + ref_center_h
aligned_holo = aligned_holo.reshape(-1, 4, 3)
# Align to apo
ref_apo_ca_np = self.ref_apo_ca.cpu().numpy()
n_align_a = min(len(rec_ca), len(ref_apo_ca_np))
_, R_a = align_structures(rec_ca[:n_align_a], ref_apo_ca_np[:n_align_a])
center_a = rec_ca[:n_align_a].mean(0)
ref_center_a = ref_apo_ca_np[:n_align_a].mean(0)
aligned_apo = (binder_coords.reshape(-1, 3) - center_a) @ R_a.T + ref_center_a
aligned_apo = aligned_apo.reshape(-1, 4, 3)
with torch.no_grad():
coords_h = torch.from_numpy(aligned_holo).float().to(device)
coords_a = torch.from_numpy(aligned_apo).float().to(device)
mask_t = torch.from_numpy(binder_mask).bool().to(device)
aa_t = torch.from_numpy(aa_idx).long().to(device)
q_holo = self.dq.score(coords_h, mask_t, binder_aa_idx=aa_t,
receptor_label='holo').item()
q_apo = self.dq.score(coords_a, mask_t, binder_aa_idx=aa_t,
receptor_label='apo').item()
return {
'q_holo': q_holo,
'q_apo': q_apo,
'margin': q_holo - q_apo,
'n_res': len(binder_res),
}
except Exception as e:
logger.warning(f"Error scoring {pdb_path}: {e}")
return None