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FlashMD: long-stride, universal prediction of molecular dynamics
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Proposes FlashMD, a PET-based GNN that directly predicts mass-scaled positions and momenta over strides 1-2 orders of magnitude longer than MD steps, with energy-conservation rescaling, ensemble control, and UQ, trained on water-specific and universal (MAD/PET-MAD) trajectories.
Problem
Machine learning MD acceleration is still limited to tiny integration steps (~1 fs) because the integrator must be run step by step; direct prediction of long-stride MD trajectories is underexplored and prone to failure modes (energy drift, non-symplecticity, chaos, symmetry breaking).
Approach
Directly predict time-evolved mass-scaled positions and momenta over long strides with an E(3)-unconstrained PET graph network, adding momentum-based node inputs, training-time energy-error model selection, inference-time momentum rescaling for energy conservation, random-rotation averaging, and a Liouville-based recipe for combining with thermostats/barostats.
Key results
- Energy-conservation rescaling recovers correct mean temperatures for overall water NVT simulations, while uncorrected models show deviations of tens of K in per-atom-type kinetic energies with SVR thermostat.
- Universal FlashMD reproduces alanine dipeptide Ramachandran basins with strides up to 16 fs (32 times the 0.5 fs MD step).
- The universal Li3PS4 model predicts the superionic transition at about 675 K, within the range reported for PET-MAD MD.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add energy conservation enforcement (ablation) | Universal FlashMD · Liquid water, NVT | overall effective-temperature deviation (ΔT_all): 33.8\U{1.0} -> 0.2\U{0.8}; 10.7\U{1.0} -> -0.7\U{0.8}; -22.5\U{0.7} -> 0.4\U{0.9} | Helped |
| add energy conservation enforcement (ablation) | Water-specific FlashMD · Liquid water, NVT | overall effective-temperature deviation (ΔT_all): 1.4\U{0.9} -> -0.4\U{0.9}; -0.2\U{0.8} -> 1.3\U{0.9} | Mixed |
| use the global SVR thermostat rather than a local Langevin thermostat | FlashMD · Liquid water, NVT | atom-type-resolved effective-temperature deviation | Hurt |
Surprising findings
- Models with similar position and momentum accuracy can yield very different energy conservation, so energy error must be included in model selection.
- Local (Langevin) thermostats were needed because a global SVR thermostat gave spurious per-atom kinetic energy deviations (lack of equipartition), also seen in direct-force models.
Limitations
- Non-symplectic and non-energy-conserving dynamics; energy drift needs inference-time rescaling and thermostats.
- Predictions degrade rapidly with stride; symplecticity violations grow strongly with stride.
- Dynamical properties are distorted by the local thermostats needed for correct equilibrium sampling.
Experimental setup
Datasets: MAD dataset liquid water MD trajectories generated with PET-MAD q-TIP4P/f water trajectories
Benchmarks: liquid water NVT effective temperature liquid water radial distribution functions liquid water density at NPT alanine dipeptide Ramachandran plots Al(110) surface mean square displacement gamma-Li3PS4 Li conductivity
Metrics: effective temperature deviation radial distribution function density mean square displacement ionic conductivity validation RMSE energy conservation symplecticity error
Baselines: PET-MAD MDnet TrajCast conventional velocity Verlet MD
Builds on: Point-Edge Transformer PET-MAD velocity Verlet LLPR MDnet
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