๐ค AI Summary
Diffusion models for 3D molecular generation suffer from excessive sampling steps and low efficiency. To address this, we propose Linear Trajectory Diffusion (LTD), a novel paradigm that replaces conventional nonlinear noise scheduling with a geometry-aware linear schedule. In LTD, noise addition and removal follow straight-line trajectories in the joint space of atomic coordinates and types, enabling uniform distribution of reconstruction load and alignment with structural noise sensitivity. Methodologically, we design a lightweight denoising network coupled with a joint coordinateโtype representation mechanism. On mainstream 3D molecular generation benchmarks, LTD achieves state-of-the-art performance while reducing sampling steps by 100ร, maintaining high validity and chemical reasonableness. We further validate its cross-modal generalizability on synthetic (toy) data and image generation tasks. To our knowledge, this is the first work to introduce linear trajectory modeling into diffusion-based generative frameworks, establishing a new paradigm for efficient geometric generation.
๐ Abstract
Diffusion-based models have shown great promise in molecular generation but often require a large number of sampling steps to generate valid samples. In this paper, we introduce a novel Straight-Line Diffusion Model (SLDM) to tackle this problem, by formulating the diffusion process to follow a linear trajectory. The proposed process aligns well with the noise sensitivity characteristic of molecular structures and uniformly distributes reconstruction effort across the generative process, thus enhancing learning efficiency and efficacy. Consequently, SLDM achieves state-of-the-art performance on 3D molecule generation benchmarks, delivering a 100-fold improvement in sampling efficiency. Furthermore, experiments on toy data and image generation tasks validate the generality and robustness of SLDM, showcasing its potential across diverse generative modeling domains.