arXiv:2604.09112cs.IR2026-04

用推荐系统帮科学家选流体模拟的模型组合,新案例也能精准推荐。

Hybrid Cold-Start Recommender System for Closure Model Selection in Multiphase Flow Simulations

  • 结合案例特征相似性和历史数据矩阵补全,实现新案例智能推荐。
  • 在136个验证案例、100种模型组合上,推荐准确率显著优于基准方法。
  • 特别适合缺乏历史数据的高成本科学仿真场景,如复杂流体模拟。

在多相流体模拟中,选择合适的闭合模型是关键但困难的任务。研究者需在数百种模型组合中挑选,而性能随流动条件剧烈变化。错误选择会导致预测不准、模拟失败和资源浪费。本文将模型选择问题转化为高成本科学领域的冷启动推荐问题,提出一种混合推荐框架:利用(i)基于元数据的案例相似性,与(ii)通过矩阵补全进行协同推理相结合。该方法仅凭新案例的描述特征,即可生成个性化推荐,并融合相似案例的历史仿真结果。在13,600次模拟、136个验证案例、100种模型组合的数据集上评估,采用实验级留出的嵌套交叉验证协议,测试在不同数据稀疏性下的泛化能力。使用排名指标和领域专用的后悔度量(衡量偏离最优方案的损失)评估效果。结果显示,该混合推荐器持续优于基于流行度和专家设计的基线模型,在各类稀疏条件下均显著降低后悔值。证明推荐系统能有效支持需昂贵评估、具有结构化元数据且观测有限的复杂科学决策任务。

原文摘要 · Abstract (English)

Selecting appropriate physical models is a critical yet difficult step in many areas of computational science and engineering. In multiphase Computational Fluid Dynamics (CFD), practitioners must choose among numerous closure model combinations whose performance varies strongly across flow conditions. Sub-optimal choices can lead to inaccurate predictions, simulation failures, and wasted computational resources, making model selection a prime candidate for data-driven decision support. This work formulates closure model selection as a cold-start recommender system problem in a high-cost scientific domain. We propose a hybrid recommendation framework that combines (i) metadata-driven case similarity and (ii) collaborative inference via matrix completion. The approach enables case-specific model recommendations for entirely new CFD cases using their descriptive features, while leveraging historical simulation results from similar cases. The methodology is evaluated on 13,600 simulations across 136 validation cases and 100 model combinations. A nested cross-validation protocol with experiment-level holdout is employed to rigorously assess generalisation to unseen flow scenarios under varying levels of data sparsity. Recommendation quality is measured using ranking-based metrics and a domain-specific regret measure capturing performance loss relative to the per-case optimum. Results show that the proposed hybrid recommender consistently outperforms popularity-based and expert-designed reference models and reduces regret across the investigated sparsities. These findings demonstrate that recommender system methodology can effectively support complex scientific decision-making tasks characterised by expensive evaluations, structured metadata, and limited prior observations.

推荐系统科学计算流体模拟冷启动

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