arXiv:2608.00593cond-mat.mtrl-scics.LG2026-08

用不确定性引导主动学习,快速预测工件磨损分布。

Uncertainty-guided active learning for surrogate prediction of stream-finishing wear fields

论文配图:Uncertainty-guided active learning for surrogate prediction of stream-finishing wear fields
图 1 · 摘自论文原文
  • 基于几何直接预测三类磨损关键场,结合深度集成估计不确定度。
  • 仅用13%样本训练,相关性达0.89以上,低不确定性时预测精度接近仿真。
  • 适合需要高效优化工件姿态的制造场景,尤其对复杂几何体有效。

在流体研磨中,工件磨损程度高度依赖其在旋转磨料中的姿态。为实现均匀磨损,需评估所有可行姿态下的磨损速率场。虽然离散元方法(DEM)能精确模拟粒子相互作用,但对新几何体模拟数百种姿态仍计算成本高昂。本文提出一种基于不确定性的代理框架,直接从几何体预测三类磨损主导场:每个三角面片的法向撞击速度、切向撞击速度和粒子撞击通量。这些场通过Finnie磨损模型重建磨损速率分布。代理模型采用深度集成,其内部分歧用于估计认知不确定性,进而实施主动学习策略,仅对最不确定的姿态执行DEM模拟。仅使用696个可行姿态中的13%进行训练,该模型对法向撞击速度、切向撞击速度和粒子撞击通量的斯皮尔曼等级相关系数分别达到0.93、0.89和0.93。此外,预测不确定性具有良好校准性,可靠预判预测误差及重构磨损场的保真度:低不确定性姿态下,与DEM结果的相关系数最高达0.97,且随不确定性增加呈可控退化。

原文摘要 · Abstract (English)

In stream finishing, the wear experienced by a workpiece depends strongly on its orientation within the rotating abrasive media. Determining suitable orientations to achieve uniform wear requires evaluating the wear-rate field over all feasible orientations. Although the discrete element method (DEM) accurately resolves particle interactions, simulating hundreds of feasible orientations for a new geometry is computationally expensive. We present an uncertainty-guided surrogate framework that predicts, directly from geometry, the three fields governing erosion: per-triangle normal impact velocity, tangential impact velocity, and particle impact flux. These fields are combined through the Finnie wear model to reconstruct the wear-rate distribution. The surrogate employs a deep ensemble whose disagreement estimates epistemic uncertainty, enabling an active-learning strategy that selectively performs DEM simulations for the most uncertain orientations. Trained using only $13\%$ of the $696$ feasible orientations, the surrogate achieves Spearman rank correlations of $0.93$, $0.89$, and $0.93$ for the normal impact velocity, tangential impact velocity, and particle impact flux, respectively. Moreover, the predicted uncertainty is well calibrated, reliably anticipating prediction error and the fidelity of the reconstructed wear field, which matches DEM with a Spearman rank correlation of up to $0.97$ for low-uncertainty orientations and degrades in a controlled manner as uncertainty increases.

磨损预测主动学习代理模型制造优化

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