利用Apriori算法实现基于反应道灵敏度的临界基准检验趋势分析

Trend Analysis of Criticality Benchmark Testing Results Based on Reaction Channel Sensitivity Using Apriori Algorithm

  • 摘要: 近些年来,机器学习算法广泛应用于核物理领域,并在核数据宏观检验的趋势分析上取得了显著的效果。当前国内基于灵敏度的趋势分析是人工筛选出1个灵敏核素-反应道的基准实验序列,然后再基于专家判断去筛选各种实验特征信息(如能谱指标等),尝试找到keff计算偏差与灵敏核素-反应道之间的关系。这种方式效率较低,且难以遍历所有的可能性。如何高效地开展基于灵敏度的临界基准检验趋势分析成为大规模临界基准检验分析面临的首要问题。本文基于Apriori算法开展关联规则分析,从基准实验特征信息库ENDITS-EXP中筛选出了特定核素-反应道灵敏度组合的频繁项集,然后利用这些频繁项集验证keff计算偏差与核素-反应道灵敏度之间是否存在线性回归趋势,并绘制趋势分析图。通过应用数据挖掘方法,本文实现了基于核素-反应道灵敏度的临界基准检验自动化趋势分析,显著提高了临界基准检验的效率,细化了趋势分析的颗粒度。

     

    Abstract: In recent years, machine learning algorithms have been extensively and successfully applied across multiple domains within nuclear physics, particularly demonstrating remarkable effectiveness in conducting trend analysis for the integral validation of nuclear data. The current domestic methodology for sensitivity-based trend analysis predominantly relies on manual procedures where specialists first identify a reference experimental sequence corresponding to a sensitive nuclide-reaction channel combination, then proceed to screen various experimental characteristic parameters including energy spectrum indices through expert judgment and empirical knowledge. This traditional approach aims to discover potential correlations between observed deviations in keff calculations and the sensitivities associated with particular nuclide-reaction channels. However, this conventional methodology exhibits considerable limitations in both efficiency and comprehensiveness, as the manual screening process proves inherently inefficient and fundamentally incapable of exhaustively exploring the vast combinatorial space of all possible correlations among diverse experimental features and nuclear data sensitivities. This significant challenge in efficiently performing thorough sensitivity-based trend analysis for criticality benchmark testing has consequently emerged as the primary obstacle confronting large-scale criticality benchmark validation initiatives. To resolve this pressing issue, our research implements sophisticated association rule analysis utilizing the well-established Apriori algorithm to systematically identify and extract frequent itemsets representing specific nuclide-reaction channel sensitivity combinations from the comprehensively organized benchmark experimental feature information database ENDITS-EXP. These systematically identified frequent itemsets subsequently underwent rigorous statistical verification procedures to determine whether significant linear regression trends exist between the calculated keff deviations and the corresponding nuclide-channel sensitivity coefficients, with detailed trend analysis graphs generated to visually represent these identified relationships. Through this innovative application of advanced data mining technology, an automated framework for conducting sensitivity-based criticality benchmarking trend analysis was successfully established and demonstrated, achieving substantial improvements in analytical efficiency while simultaneously refining the investigative granularity to enable more detailed and systematic examination of nuclear data performance across varied experimental conditions. This transformation from manual expert-dependent screening processes toward automated pattern discovery and correlation identification represents a crucial advancement in nuclear data validation methodology, potentially leading to more reliable nuclear data libraries and enhanced safety assessments in practical reactor physics applications. The systematic implementation of association rule mining for exploring complex sensitivity trends not only optimizes the overall analytical workflow but also reveals previously unrecognized correlations between nuclear data uncertainties and computational biases, thereby generating valuable insights for future nuclear data evaluation and refinement efforts while establishing a robust foundation for managing increasingly large and complex benchmark datasets.

     

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