Smoothing Dark Areas in Molecular Latent Diffusion
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Latent diffusion is a promising framework for scalable 3D molecular generation, but it requires a latent space that remains smooth, valid, and navigable beyond posterior samples. Existing molecular VAEs, however, are typically learned through reconstruction-based objectives, which do not guarantee such a latent space. We show that this leads to dark areas: regions of latent space that are reachable during diffusion sampling but decode to disconnected or chemically invalid molecules. Unlike in image generation, molecular decoding requires strict structural and chemical precision, so even small latent perturbations can produce catastrophic failures. We therefore propose TopVAE, a topology-optimized VAE that reduces dark areas by making the decoder internalize structural and chemical constraints during training, eliminating the need for test-time chemical correction. TopVAE greatly improves off-posterior robustness, and when paired with a standard DiT, achieves 77% lower FCD-3D on QM9, the highest V&C, 52% lower FCD-3D on GEOM-Drugs, and 1.29× more stable and connected molecules on zero-shot scaffold inpainting.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 13 of its 41 references that are in the map. First posted on arXiv 11 Jun 2026.
Builds on
13 of 41 references.
Closest ancestors · 4
Same direction, newest first
- 2025Towards Unified and Lossless Latent Space for 3D Molecular Latent Diffusion Modeling19 Mar
- 2025All-atom Diffusion Transformers: Unified generative modelling of molecules and materials5 Mar
- 2023Navigating the Design Space of Equivariant Diffusion-Based Generative Models for De Novo 3D Molecule Generation29 Sep
- 2023Learning Joint 2D & 3D Diffusion Models for Complete Molecule Generation21 May
Other references · 9
- 2013Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computationcited by 2,079
- 2019Advantage-Weighted Regression: Simple and Scalable Off-Policy Reinforcement Learningcited by 782
- 2018Syntax-Directed Variational Autoencoder for Structured Datacited by 103
- 2025Improving the Diffusability of Autoencoderscited by 80
- 2023MolDiff: Addressing the Atom-Bond Inconsistency Problem in 3D Molecule Diffusion Generationcited by 65
- 2022Relational Attention: Generalizing Transformers for Graph-Structured Taskscited by 41
- 2026Making Reconstruction FID Predictive of Diffusion Generation FIDcited by 13
- 2025Enhancing Variational Autoencoders with Smooth Robust Latent Encodingcited by 6
- 2025Manipulating 3D Molecules in a Fixed-Dimensional E(3)-Equivariant Latent Spacecited by 3
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- 2026Molecules Meet Language: Confound-Aware Representation Learning and Chemical Property Steering in Transformer-VAE Latent Spaces
- 2025Scalable Non-Equivariant 3D Molecule Generation via Rotational Alignment
- 2026Equivariant Asynchronous Diffusion: An Adaptive Denoising Schedule for Accelerated Molecular Conformation Generation