Paper List
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A Unified Variational Principle for Branching Transport Networks: Wave Impedance, Viscous Flow, and Tissue Metabolism
This paper solves the core problem of predicting the empirically observed branching exponent (α≈2.7) in mammalian arterial trees, which neither Murray...
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Household Bubbling Strategies for Epidemic Control and Social Connectivity
This paper addresses the core challenge of designing household merging (social bubble) strategies that effectively control epidemic risk while maximiz...
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Empowering Chemical Structures with Biological Insights for Scalable Phenotypic Virtual Screening
This paper addresses the core challenge of bridging the gap between scalable chemical structure screening and biologically informative but resource-in...
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A mechanical bifurcation constrains the evolution of cell sheet folding in the family Volvocaceae
This paper addresses the core problem of why there is an evolutionary gap in species with intermediate cell numbers (e.g., 256 cells) in Volvocaceae, ...
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Bayesian Inference in Epidemic Modelling: A Beginner’s Guide Illustrated with the SIR Model
This guide addresses the core challenge of estimating uncertain epidemiological parameters (like transmission and recovery rates) from noisy, real-wor...
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Geometric framework for biological evolution
This paper addresses the fundamental challenge of developing a coordinate-independent, geometric description of evolutionary dynamics that bridges gen...
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A multiscale discrete-to-continuum framework for structured population models
This paper addresses the core challenge of systematically deriving uniformly valid continuum approximations from discrete structured population models...
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Whole slide and microscopy image analysis with QuPath and OMERO
使QuPath能够直接分析存储在OMERO服务器中的图像而无需下载整个数据集,克服了大规模研究的本地存储限制。
Equivariant Asynchronous Diffusion: An Adaptive Denoising Schedule for Accelerated Molecular Conformation Generation
Shanghai Academy of Artificial Intelligence for Science, SAIS | Artificial Intelligence Innovation and Incubation (AI3) Institute, Fudan University
30秒速读
IN SHORT: This paper addresses the core challenge of generating physically plausible 3D molecular structures by bridging the gap between autoregressive methods (which capture hierarchy but lack global context) and synchronous diffusion models (which offer global conditioning but ignore molecular causality).
核心创新
- Methodology Proposes Equivariant Asynchronous Diffusion (EAD), a novel framework that assigns independent noise levels to different atoms, enabling asynchronous denoising while maintaining SE(3)-equivariance through graph neural networks.
- Methodology Introduces a constrained independent sampling strategy during training (Algorithm 1) that reduces combinatorial complexity from O(T^M) to O((2C)^M), making asynchronous diffusion tractable.
- Methodology Develops a dynamic denoising schedule (Algorithm 2) that uses historical velocity states to adaptively prioritize which atoms to denoise, mimicking hierarchical molecular construction without imposing rigid causal chains.
主要结论
- EAD outperforms the synchronous denoising baseline EDM (using identical architecture and training iterations) across all metrics, achieving an 8% increase in molecular stability and a 3% improvement in validity.
- The framework demonstrates that traditional full-molecule diffusion models are special cases of EAD, and the method can be integrated into various diffusion architectures without retraining.
- Experimental validation shows EAD's ability to generate complete, valid molecules while effectively minimizing cumulative errors that plague autoregressive approaches.
摘要: Recent 3D molecular generation methods primarily use asynchronous auto-regressive or synchronous diffusion models. While auto-regressive models build molecules sequentially, they’re limited by a short horizon and a discrepancy between training and inference. Conversely, synchronous diffusion models denoise all atoms at once, offering a molecule-level horizon but failing to capture the causal relationships inherent in hierarchical molecular structures. We introduce Equivariant Asynchronous Diffusion (EAD) to overcome these limitations. EAD is a novel diffusion model that combines the strengths of both approaches: it uses an asynchronous denoising schedule to better capture molecular hierarchy while maintaining a molecule-level horizon. Since these relationships are often complex, we propose a dynamic scheduling mechanism to adaptively determine the denoising timestep. Experimental results show that EAD achieves state-of-the-art performance in 3D molecular generation.