基于SVD-Greedy的边坡传感器轻量化布设方案优化
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1.温州市泰顺县交通运输局;2.长安大学 3.运输工程学院;4.温州市泰顺县交通发展集团有限公司;5.中交通力建设股份有限公司浙江分公司

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国家重点基础研究发展计划(973计划),国家自然科学基金项目(重点项目),浙江省交通厅科技计划项目


Optimization of Lightweight Sensor Deployment Schemes for Slopes Based on SVD-Greedy
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National Key R&D Program Project of China,National Natural Science Foundation of China - Joint Fund Key Project,Science and Technology Program Project of the Zhejiang Provincial Department of Transportation

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    摘要:

    【目的】公路边坡监测中存在传感器大规模布设、数据冗余等问题,且现有传感器布设效果普遍缺乏动态调整机制。基于此,本文提出一种融合奇异值分解(Singular Value Decomposition, SVD)与贪心算法(Greedy)的优化方法,通过动态优化监测布局,实现边坡监测的轻量化与降本增效。【方法】首先,系统整理边坡现有监测网络在初始服役阶段连续一个月内采集的观测数据;随后,利用SVD从观测信号中提取主导的线性低秩子空间,并在此子空间中结合贪心算法,优选能够以最小重构误差有效表征被移除传感器信息的物理位置作为候选布点;最后,基于所选位置的实测数据,采用最小二乘法在该低维子空间内重建完整的高维状态场。为验证所提方法的有效性,选取浙江某国道公路边坡上24个GNSS传感器一个月的实测数据开展研究。【结果】结果表明:本文方法在决定系数大于0.9的精度水平下,移除3个传感器后仍然能够准确重构全部位移信号(含被移除传感器),表征所提方法的优越性和可靠性。【结论】该研究为实现边坡监测网络的后期动态优化、监测数据的相互表征以及轻量化布设提供了可行的技术路径。

    Abstract:

    [Purposes] Large-scale sensor deployment and data redundancy are common issues in highway slope monitoring. Furthermore, existing sensor placement schemes generally lack a mechanism for dynamic adjustment of their effectiveness. Our paper proposes a placement optimization method that integrates Singular Value Decomposition (SVD) and a Greedy algorithm to address those problems. The aim is to achieve dynamic optimization of the monitoring layout and efficient reconstruction of the data. [Methods] First, observation data collected continuously over one month during the initial operation phase of an existing slope monitoring network were systematically organized. Subsequently, SVD was used to extract the dominant linear low-rank subspace from the observed signals. Within this subspace, the Greedy algorithm was combined to optimally select physical locations. These locations serve as candidate placement points. The selection criterion was the ability to effectively characterize the information from removed sensors with minimal reconstruction error. Finally, the complete high-dimensional state field was reconstructed within this low-dimensional subspace. The reconstruction was based on measured data from the selected positions. The least squares method was used for this reconstruction. To validate the effectiveness of the proposed method, a study was conducted using measured data. The data came from 24 GNSS sensors installed on a national highway slope in Zhejiang Province. The data covered one continuous month. [Findings] The results show that the proposed method can accurately reconstruct the displacement signals of the removed sensors. This reconstruction was achieved after removing 3 sensors. The accuracy level was a coefficient of determination greater than 0.9. [Conclusions] This demonstrates the superiority and reliability of the proposed method. This research provides a feasible technical approach for achieving dynamic optimization of slope monitoring networks in later stages, mutual characterization of monitoring data, and lightweight deployment.

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  • 收稿日期:2026-02-12
  • 最后修改日期:2026-04-13
  • 录用日期:2026-04-13
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