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arXiv 2407.11268stat.MLcs.CEcs.LG
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异构多源数据融合:基于输入映射与潜变量高斯过程

Heterogenous Multi-Source Data Fusion Through Input Mapping and Latent Variable Gaussian Process

Northwestern University(西北大学);GE Aerospace Research(GE航空研究院)

Yigitcan Comlek, Sandipp Krishnan Ravi, Piyush Pandita, Sayan Ghosh, Liping Wang, Wei Chen

AI总结:

针对异构多源数据融合中输入空间不匹配的问题,提出基于输入映射校准和潜变量高斯过程的框架,通过统一参数空间构建来源感知代理模型,在三个工程案例中提升了预测精度。

摘要:

人工智能和机器学习框架已成为工程问题中输入与输出之间计算高效的映射工具。这些映射支持了优化和分析流程,从而产生了卓越的设计、巧妙的材料系统和优化的制造工艺。在此类建模工作中,一个常见情况是存在多个数据源,每个数据源因保真度、操作条件、实验条件等而有所区别。数据融合框架开辟了将这些不同来源合并为统一模型的可能性,从而提高了准确性并实现了知识迁移。然而,当不同来源在本质上具有异构性(即不共享相同的输入参数空间)时,这些框架会遇到限制。当领域因复杂性、规模和保真度不同而需要不同参数化时,就可能出现这种异构输入场景。为填补这一空白,本文提出了一种基于输入映射校准(IMC)和潜变量高斯过程(LVGP)的异构多源数据融合框架。在第一阶段,利用IMC算法将异构输入参数空间转换为统一的参考参数空间。在第二阶段,利用由LVGP支持的多源数据融合模型,在转换后的参考空间上构建一个单一且考虑来源的替代模型。所提出的框架在三个工程案例研究(悬臂梁设计、椭球形空洞设计和Ti6Al4V合金性能建模)中得到了验证和分析。结果表明,所提出的框架相比单一来源模型和转换后但不考虑来源的模型,提供了更高的预测准确性。

英文摘要:

Artificial intelligence and machine learning frameworks have served as computationally efficient mapping between inputs and outputs for engineering problems. These mappings have enabled optimization and analysis routines that have warranted superior designs, ingenious material systems and optimized manufacturing processes. A common occurrence in such modeling endeavors is the existence of multiple source of data, each differentiated by fidelity, operating conditions, experimental conditions, and more. Data fusion frameworks have opened the possibility of combining such differentiated sources into single unified models, enabling improved accuracy and knowledge transfer. However, these frameworks encounter limitations when the different sources are heterogeneous in nature, i.e., not sharing the same input parameter space. These heterogeneous input scenarios can occur when the domains differentiated by complexity, scale, and fidelity require different parametrizations. Towards addressing this void, a heterogeneous multi-source data fusion framework is proposed based on input mapping calibration (IMC) and latent variable Gaussian process (LVGP). In the first stage, the IMC algorithm is utilized to transform the heterogeneous input parameter spaces into a unified reference parameter space. In the second stage, a multi-source data fusion model enabled by LVGP is leveraged to build a single source-aware surrogate model on the transformed reference space. The proposed framework is demonstrated and analyzed on three engineering case studies (design of cantilever beam, design of ellipsoidal void and modeling properties of Ti6Al4V alloy). The results indicate that the proposed framework provides improved predictive accuracy over a single source model and transformed but source unaware model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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