Paper List
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The Effective Reproduction Number in the Kermack-McKendrick model with age of infection and reinfection
This paper addresses the challenge of accurately estimating the time-varying effective reproduction number ℛ(t) in epidemics by incorporating two crit...
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Covering Relations in the Poset of Combinatorial Neural Codes
This work addresses the core challenge of navigating the complex poset structure of neural codes to systematically test the conjecture linking convex ...
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Collective adsorption of pheromones at the water-air interface
This paper addresses the core challenge of understanding how amphiphilic pheromones, previously assumed to be transported in the gas phase, can be sta...
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pHapCompass: Probabilistic Assembly and Uncertainty Quantification of Polyploid Haplotype Phase
This paper addresses the core challenge of accurately assembling polyploid haplotypes from sequencing data, where read assignment ambiguity and an exp...
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Setting up for failure: automatic discovery of the neural mechanisms of cognitive errors
This paper addresses the core challenge of automating the discovery of biologically plausible recurrent neural network (RNN) dynamics that can replica...
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Influence of Object Affordance on Action Language Understanding: Evidence from Dynamic Causal Modeling Analysis
This study addresses the core challenge of moving beyond correlational evidence to establish the *causal direction* and *temporal dynamics* of how obj...
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Revealing stimulus-dependent dynamics through statistical complexity
This paper addresses the core challenge of detecting stimulus-specific patterns in neural population dynamics that remain hidden to traditional variab...
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Exactly Solvable Population Model with Square-Root Growth Noise and Cell-Size Regulation
This paper addresses the fundamental gap in understanding how microscopic growth fluctuations, specifically those with size-dependent (square-root) no...
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.