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ASPIRE:通过集合预测与物理优化实现鞍点发现

ASPIRE: Saddle-Point Discovery through Set Prediction and Physical Refinement

Yucheng Zhao, Quanyou Zhang, Shaoxiang Qin, Haixuan Xu, Xiongye Xiao

arXiv 2610.10969首次发表:更新:

发表机构

University of Tennessee, Knoxville; McGill University(田纳西大学诺克斯维尔分校; 麦吉尔大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

ASPIRE框架通过Ev-Quiformer等变集合预测器生成鞍点候选并经Dimer优化,在两个铁空位数据集上,较传统Dimer基线提升参考事件覆盖率,同时大幅减少计算时间。

AI 中文摘要

用事件驱动模型预测热激活扩散与缺陷演化,需要识别原子重排机制及其激活势垒。发现相关鞍点是主要计算瓶颈:一个亚稳态可能产生多种重排,而代价高昂的局部搜索可能失败或反复收敛到同一鞍点。为应对这一挑战,我们提出ASPIRE(原子级事件优化鞍点推断框架),该框架从单个初始原子环境预测一组鞍点候选,并通过原始原子间势上的Dimer搜索对其进行优化。该框架的等变集合预测器Ev-Quiformer整合了:(i)几何条件标量-向量事件槽,用于生成多个鞍点提议;(ii)解码器,通过结合原子、槽和锚点相对向量与不变系数,将每个槽映射到完整原子位移场。我们还提供两个数据集:(i)BCCFE4VACAV-4000,包含4000个四空位体心立方铁构型和65450个按初始状态分组的参考事件,用于集合监督和优化后评估;(ii)BCCFE-1TO4VAC,包含5372个各含1至4个空位的构型。理论上,我们确立了提议等变性的条件。实验中,ASPIRE在该基准上实现了77.20%的参考事件覆盖率,而传统Dimer基线为75.73%,同时所需的Dimer力评估数量约为其一半。在50个构型的计时评估中,在所述硬件设置下,ASPIRE将每个构型的挂钟时间从478.8秒减少至176.3秒。

英文摘要

Predicting thermally activated diffusion and defect evolution with event-driven models requires identifying atomic rearrangement mechanisms and their activation barriers. Discovering the associated saddle points is a major computational bottleneck: multiple rearrangements may originate from one metastable state, while costly local searches can fail or repeatedly converge to the same saddle. To address this challenge, we introduce ASPIRE (Atomistic Saddle-Point Inference with Refinement for Events), a framework that predicts a set of saddle candidates from a single initial atomic environment and refines them through Dimer searches on the original interatomic potential. The framework's equivariant set predictor, Ev-Quiformer, integrates (i) geometry-conditioned scalar-vector event slots for generating multiple saddle-point proposals and (ii) a decoder that maps each slot to a full atomic displacement field by combining atom, slot, and anchor-relative vectors with invariant coefficients. We also contribute two datasets: (i) BCCFE4VACAV-4000, comprising 4,000 four-vacancy body-centered cubic iron configurations and 65,450 reference events grouped by initial state for set supervision and post-refinement evaluation; and (ii) BCCFE-1TO4VAC, comprising 5,372 configurations with one to four vacancies each. Theoretically, we establish conditions for proposal equivariance. Experimentally, ASPIRE achieves 77.20% reference-event coverage on this benchmark, compared with 75.73% for a conventional Dimer baseline, while requiring approximately half as many Dimer force evaluations. In a timing evaluation on 50 configurations, ASPIRE reduces wall time per configuration from 478.8 s to 176.3 s under the stated hardware settings.

论文原文

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