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All-atom Diffusion Transformers: Unified generative modelling of molecules and materials

ICML 2025 · Image generation › Autoregressive and latent generation · approach: Equivariant diffusion for 3D molecules · 7 citations (OpenAlex)

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Proposes ADiT, a unified latent diffusion framework (Transformer VAE plus DiT denoiser with flow matching) that jointly generates molecules and crystals from a shared all-atom latent space.

Problem

Generative models for atomic systems are highly specific to molecules or crystals, using equivariant multi-modal diffusion on categorical-continuous product manifolds; no unified model covers both periodic materials and non-periodic molecules.

Approach

Encode all-atom representations (atom types, 3D coordinates, fractional coordinates, lattice parameters) of molecules and crystals into a shared latent space with a standard Transformer VAE, then run a non-equivariant DiT flow-matching model in that latent space with classifier-free guidance on the periodic/non-periodic label.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
train jointly on QM9 and MP20 instead of MP20 only (ablation)ADiT · MP20overall validity (%): 90.13 -> 91.92Helped
train jointly on QM9 and MP20 instead of QM9 only (ablation)ADiT · QM9validity (%): 96.02 -> 97.43Helped
train jointly on QM9 and MP20 instead of QM9 only (ablation)ADiT · QM9unique (%): 97.76 -> 96.92Hurt
increase DiT size from 32M to 130M parameters (ablation)MP20-only ADiT · MP20stability rate (%): 12.8 -> 14.1Helped
increase DiT size from 32M to 130M parameters (ablation)MP20-only ADiT · MP20stable, unique, and novel rate (%): 6.5 -> 4.7Hurt
increase DiT size from 32M to 450M parameters (ablation)Joint ADiT · MP20stable, unique, and novel rate (%): 6.0 -> 5.0Hurt
increase latent dimension from 4 to 8 (ablation)MP20 Transformer VAE · MP20 crystal reconstructionmatch rate (%): 85.50 -> 84.50Hurt
increase latent dimension from 4 to 8 (ablation)QM9 Transformer VAE · QM9 molecule reconstructionmatch rate (%): 97.20 -> 96.50Hurt
replace Transformer encoder with Equiformer-V2 (ablation)MP20 VAE with latent dimension 4 · MP20 crystal reconstructionmatch rate (%): 85.50 -> 81.70Hurt
replace Transformer encoder with Equiformer-V2 (ablation)MP20 VAE with latent dimension 8 · MP20 crystal reconstructionmatch rate (%): 84.50 -> 88.90Helped
replace Transformer encoder with Equiformer-V2 (ablation)QM9 VAE with latent dimension 4 · QM9 molecule reconstructionmatch rate (%): 97.20 -> 96.20Hurt
replace Transformer encoder with Equiformer-V2 (ablation)QM9 VAE with latent dimension 8 · QM9 molecule reconstructionmatch rate (%): 96.50 -> 96.20Hurt

Surprising findings

Limitations

Experimental setup

Datasets: QM9 MP20 GEOM-DRUGS QMOF

Benchmarks: MP20 QM9 GEOM-DRUGS QMOF

Metrics: validity uniqueness stability S.U.N. rate PoseBusters pass rate MOFChecker pass rate

Baselines: CDVAE DiffCSP FlowMM UniMat FlowLLM MatterGen-MP Equivariant Diffusion GeoLDM Symphony SemlaFlow EQGAT-diff

Builds on: Latent diffusion models Diffusion Transformers Classifier-free guidance GeoLDM Equivariant Diffusion

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