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All-atom Diffusion Transformers: Unified generative modelling of molecules and materials
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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
- Jointly trained ADiT achieves 5.3% S.U.N. rate on MP20 crystals versus 3.3% (DiffCSP) and 2.8% (FlowMM, replicated), and 91.92% overall validity.
- On QM9, jointly trained ADiT reaches 97.43% validity and 96.92% uniqueness, matching or exceeding equivariant diffusion baselines.
- ADiT generates 10,000 samples in under 20 minutes on a single V100 GPU, reported as an order of magnitude faster than baselines taking up to 2.5 hours.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| train jointly on QM9 and MP20 instead of MP20 only (ablation) | ADiT · MP20 | overall validity (%): 90.13 -> 91.92 | Helped |
| train jointly on QM9 and MP20 instead of QM9 only (ablation) | ADiT · QM9 | validity (%): 96.02 -> 97.43 | Helped |
| train jointly on QM9 and MP20 instead of QM9 only (ablation) | ADiT · QM9 | unique (%): 97.76 -> 96.92 | Hurt |
| increase DiT size from 32M to 130M parameters (ablation) | MP20-only ADiT · MP20 | stability rate (%): 12.8 -> 14.1 | Helped |
| increase DiT size from 32M to 130M parameters (ablation) | MP20-only ADiT · MP20 | stable, unique, and novel rate (%): 6.5 -> 4.7 | Hurt |
| increase DiT size from 32M to 450M parameters (ablation) | Joint ADiT · MP20 | stable, unique, and novel rate (%): 6.0 -> 5.0 | Hurt |
| increase latent dimension from 4 to 8 (ablation) | MP20 Transformer VAE · MP20 crystal reconstruction | match rate (%): 85.50 -> 84.50 | Hurt |
| increase latent dimension from 4 to 8 (ablation) | QM9 Transformer VAE · QM9 molecule reconstruction | match rate (%): 97.20 -> 96.50 | Hurt |
| replace Transformer encoder with Equiformer-V2 (ablation) | MP20 VAE with latent dimension 4 · MP20 crystal reconstruction | match rate (%): 85.50 -> 81.70 | Hurt |
| replace Transformer encoder with Equiformer-V2 (ablation) | MP20 VAE with latent dimension 8 · MP20 crystal reconstruction | match rate (%): 84.50 -> 88.90 | Helped |
| replace Transformer encoder with Equiformer-V2 (ablation) | QM9 VAE with latent dimension 4 · QM9 molecule reconstruction | match rate (%): 97.20 -> 96.20 | Hurt |
| replace Transformer encoder with Equiformer-V2 (ablation) | QM9 VAE with latent dimension 8 · QM9 molecule reconstruction | match rate (%): 96.50 -> 96.20 | Hurt |
Surprising findings
- Larger DiT denoisers improve stability and validity but reduce the S.U.N. rate on MP20, attributed to memorization of the small 27K-crystal training set.
- Standard non-equivariant Transformer autoencoders outperformed Equiformer-V2 equivariant autoencoders in both reconstruction and generative validity.
Limitations
- Relies on small datasets (MP20 27K crystals, QM9), limiting generalization and possibly causing memorization at larger model scale.
- MOF generation validity is lower (10-16%) and the joint model did not fully converge.
- Only unconditional generation is demonstrated; conditional/property-guided generation is left to future work.
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
Closest papers by meaning
- Navigating the Design Space of Equivariant Diffusion-Based Generative Models for De Novo 3D Molecule Generation (ICLR 2024 · similarity 0.90)
- Scalable Diffusion for Materials Generation (ICLR 2024 · similarity 0.90)
- LLM Meets Diffusion: A Hybrid Framework for Crystal Material Generation (NeurIPS 2025 · similarity 0.90)
- Geometric-Facilitated Denoising Diffusion Model for 3D Molecule Generation (AAAI 2024 · similarity 0.90)
- Periodic Materials Generation using Text-Guided Joint Diffusion Model (ICLR 2025 · similarity 0.89)
- Chemistry-Inspired Diffusion with Non-Differentiable Guidance (ICLR 2025 · similarity 0.89)
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