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CG-BGs: Coarse-Grained Boltzmann Generators
Paper: arXiv:2602.10637 | Code: github.com/tummfm/cg-bg
CG-BGs are flows trained on MD trajectories that generate coarse-grained molecular conformations, combined with a PMF model for importance reweighting to recover exact equilibrium statistics.
Molecules
| Directory | System | Solvent |
|---|---|---|
MB/ |
Mueller-Brown 2D toy potential | — |
Ac-Ala-NHMe/ |
Alanine dipeptide (Ala2) | explicit + implicit |
Ac-Ala3-NHMe/ |
Alanine tripeptide (Ala3) | explicit + implicit |
Ac-Ala6-NHMe/ |
Alanine hexapeptide (Ala6) | explicit + implicit |
Directory Structure
<molecule>/
implicit/
data.npz # implicit-solvent baseline trajectory
*.pdb # reference structure for the all-atom structure
explicit/
<cg_mapping>/
<pmf_type>/
<flow_type>/
data.npz
energy_params.pkl
flow_params.pkl
samples_and_weights.npz
*.pdb # reference structure for this CG mapping
CG mappings (<cg_mapping>)
For MB the <cg_mapping> level is omitted and the tree starts directly at pmf_type/flow_type/.
| Name | Description | Nodes (Ala2 / Ala3 / Ala6) |
|---|---|---|
heavy_atom |
all non-hydrogen atoms | 10 / 20 / — |
core_beta |
backbone + Cβ atoms | 6 / 12 / 24 |
PMF types (<pmf_type>)
| Name | Description |
|---|---|
pmf_ub |
PMF model trained on unbiased MD data |
pmf_b |
PMF model trained on WT-MetaD ($\gamma=9$) data |
pmf_ub exists only for Ac-Ala-NHMe/explicit/heavy_atom/.
Flow types (<flow_type>)
| Name | Description |
|---|---|
flow_ub |
Boltzmann generator trained on unbiased MD data |
flow_b |
Boltzmann generator trained on WT-MetaD ($\gamma=1.5$) data |
Files
data.npz — training trajectory
MB:
| Array | Shape | Description |
|---|---|---|
R |
(N, 2) |
positions |
Alanine explicit:
| Array | Shape | Description |
|---|---|---|
R |
(N, n_nodes, 3) |
CG positions (Å) |
F |
(N, n_nodes, 3) |
CG forces |
box |
(N, 3, 3) |
simulation box vectors |
species |
(N, n_nodes) |
atom type indices |
mask |
(N, n_nodes) |
valid-node mask |
U |
(N,) |
potential energies |
Alanine implicit:
| Array | Shape | Description |
|---|---|---|
R |
(N, n_nodes, 3) |
positions |
F |
(N, n_nodes, 3) |
forces |
box |
(N, 3, 3) |
box vectors |
species |
(N, n_nodes) |
atom type indices |
mask |
(N, n_nodes) |
valid-node mask |
id |
(N,) |
frame identifier |
r0 |
(N,) |
umbrella restraint center |
window |
(N,) |
umbrella window index |
subset |
(N,) |
data subset label |
energy_params.pkl — PMF model parameters
Pickled JAX parameter pytree for the trained PMF/energy model. Loaded by Stage 3 to evaluate energies and compute importance weights.
flow_params.pkl — normalizing flow parameters
Pickled JAX parameter pytree for the trained Boltzmann generator. Produced by Stage 1; loaded by Stage 2 for sampling.
samples_and_weights.npz — generated samples with importance weights
Output of Stages 2–3. Same spatial arrays as data.npz plus:
| Array | Description |
|---|---|
logp |
log proposal probability from the flow |
U |
potential energy from the PMF model |
logw |
log importance weight (logw = -U/kT - logp) |
Usage with cg-bg
Each leaf directory corresponds to one experiment config in configs/experiment/. The mapping is:
| Experiment | Path |
|---|---|
mb_ub |
MB/pmf_b/flow_ub/ |
mb_b |
MB/pmf_b/flow_b/ |
ala2_ha_ub |
Ac-Ala-NHMe/explicit/heavy_atom/pmf_b/flow_ub/ |
ala2_ha_b |
Ac-Ala-NHMe/explicit/heavy_atom/pmf_b/flow_b/ |
ala2_cb_ub |
Ac-Ala-NHMe/explicit/core_beta/pmf_b/flow_ub/ |
ala2_cb_b |
Ac-Ala-NHMe/explicit/core_beta/pmf_b/flow_b/ |
ala3_ha_ub |
Ac-Ala3-NHMe/explicit/heavy_atom/pmf_b/flow_ub/ |
ala3_cb_ub |
Ac-Ala3-NHMe/explicit/core_beta/pmf_b/flow_ub/ |
ala6_cb_ub |
Ac-Ala6-NHMe/explicit/core_beta/pmf_b/flow_ub/ |
Files are fetched on demand via the ${hf:repo_id,path} Hydra resolver; no manual download is required. Set HF_REPO_ID in .env to point at a private fork.
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