VecMol: Vector-Field Representations for 3D Molecule Generation

📅 2026-03-13
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🤖 AI Summary
This work addresses the challenges of heterogeneous modality entanglement and geometric-chemical inconsistency in 3D molecular generation, which arise from jointly modeling discrete atom types and continuous coordinates. To overcome these issues, the authors propose a vector field–based continuous representation paradigm, where a molecule is modeled as a continuous vector field in Euclidean space, with its direction implicitly encoding local structural information—eliminating the need for explicit graph construction. The vector field is parameterized by a neural field and integrated into a latent diffusion model to enable end-to-end generation, naturally decoupling structure learning from atom instantiation. Experiments on the QM9 and GEOM-Drugs benchmarks demonstrate the effectiveness of the approach, marking the first successful demonstration of vector field representations for 3D molecular generation and highlighting their feasibility and potential.

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📝 Abstract
Generative modeling of three-dimensional (3D) molecules is a fundamental yet challenging problem in drug discovery and materials science. Existing approaches typically represent molecules as 3D graphs and co-generate discrete atom types with continuous atomic coordinates, leading to intrinsic learning difficulties such as heterogeneous modality entanglement and geometry-chemistry coherence constraints. We propose VecMol, a paradigm-shifting framework that reimagines molecular representation by modeling 3D molecules as continuous vector fields over Euclidean space, where vectors point toward nearby atoms and implicitly encode molecular structure. The vector field is parameterized by a neural field and generated using a latent diffusion model, avoiding explicit graph generation and decoupling structure learning from discrete atom instantiation. Experiments on the QM9 and GEOM-Drugs benchmarks validate the feasibility of this novel approach, suggesting vector-field-based representations as a promising new direction for 3D molecular generation.
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Research questions and friction points this paper is trying to address.

3D molecule generation
molecular representation
generative modeling
drug discovery
materials science
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Methods, ideas, or system contributions that make the work stand out.

vector field
3D molecule generation
neural field
latent diffusion model
molecular representation
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