Multi-objective optimization for sensor placement: An integrated combinatorial approach with reduced order model and Gaussian process
•We devise a multi-objective optimization (MOO) for sensor placement.•Our MOO integrates reduced order model and lazy greedy combinatorial approach.•We develop branch and bound exact method to validate the Pareto frontier.•We validate our method by a temperature sensor placement example. We develop...
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| Vydáno v: | Measurement : journal of the International Measurement Confederation Ročník 187; s. 110370 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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London
Elsevier Ltd
01.01.2022
Elsevier Science Ltd |
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| ISSN: | 0263-2241, 1873-412X |
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| Abstract | •We devise a multi-objective optimization (MOO) for sensor placement.•Our MOO integrates reduced order model and lazy greedy combinatorial approach.•We develop branch and bound exact method to validate the Pareto frontier.•We validate our method by a temperature sensor placement example.
We develop a novel sensor placement method that maximizes monitoring performance while minimizing deployment cost. Our method integrates a reduced order model and multi-objective combinatorial optimization. We first decompose the spatio-temporal state field to be monitored by proper orthogonal decomposition (POD), and we use the Gaussian Process to model the uncertainty in each POD mode. Next, we develop a lazy greedy (LG)-∊-constraint optimization to derive the Pareto-optimal sensor configurations. We further design a branch and bound algorithm to calculate the global optimum and validate the correctness of select configurations on the LG-derived Pareto frontier. We evaluate and benchmark our algorithm in computational experiments based on the temperature dataset of the Berkeley Intel Lab. The computational results demonstrate that our algorithm places sensors at locations of large magnitude in the POD modes, and that our method achieves better state estimation accuracy and smaller reconstruction errors compared with alternative methods. |
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| AbstractList | We develop a novel sensor placement method that maximizes monitoring performance while minimizing deployment cost. Our method integrates a reduced order model and multi-objective combinatorial optimization. We first decompose the spatio-temporal state field to be monitored by proper orthogonal decomposition (POD), and we use the Gaussian Process to model the uncertainty in each POD mode. Next, we develop a lazy greedy (LG)∊ -constraint optimization to derive the Pareto-optimal sensor configurations. We further design a branch and bound algorithm to calculate the global optimum and validate the correctness of select configurations on the LG-derived Pareto frontier. We evaluate and benchmark our algorithm in computational experiments based on the temperature dataset of the Berkeley Intel Lab. The computational results demonstrate that our algorithm places sensors at locations of large magnitude in the POD modes, and that our method achieves better state estimation accuracy and smaller reconstruction errors compared with alternative methods. •We devise a multi-objective optimization (MOO) for sensor placement.•Our MOO integrates reduced order model and lazy greedy combinatorial approach.•We develop branch and bound exact method to validate the Pareto frontier.•We validate our method by a temperature sensor placement example. We develop a novel sensor placement method that maximizes monitoring performance while minimizing deployment cost. Our method integrates a reduced order model and multi-objective combinatorial optimization. We first decompose the spatio-temporal state field to be monitored by proper orthogonal decomposition (POD), and we use the Gaussian Process to model the uncertainty in each POD mode. Next, we develop a lazy greedy (LG)-∊-constraint optimization to derive the Pareto-optimal sensor configurations. We further design a branch and bound algorithm to calculate the global optimum and validate the correctness of select configurations on the LG-derived Pareto frontier. We evaluate and benchmark our algorithm in computational experiments based on the temperature dataset of the Berkeley Intel Lab. The computational results demonstrate that our algorithm places sensors at locations of large magnitude in the POD modes, and that our method achieves better state estimation accuracy and smaller reconstruction errors compared with alternative methods. |
| ArticleNumber | 110370 |
| Author | Homer Saleh, Joseph Xu, Zhaoyi Guo, Yanjie |
| Author_xml | – sequence: 1 givenname: Zhaoyi surname: Xu fullname: Xu, Zhaoyi email: zxu328@gatech.edu – sequence: 2 givenname: Yanjie surname: Guo fullname: Guo, Yanjie – sequence: 3 givenname: Joseph surname: Homer Saleh fullname: Homer Saleh, Joseph |
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| Snippet | •We devise a multi-objective optimization (MOO) for sensor placement.•Our MOO integrates reduced order model and lazy greedy combinatorial approach.•We develop... We develop a novel sensor placement method that maximizes monitoring performance while minimizing deployment cost. Our method integrates a reduced order model... |
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| SubjectTerms | Algorithms Branch and bound Combinatorial analysis Configuration management Gaussian process Lazy greedy algorithm Multi-objective combinatorial optimization Multiple objective analysis Normal distribution Optimization Pareto optimization Pareto optimum Placement Proper Orthogonal Decomposition Reduced order models Sensor placement Sensors State estimation |
| Title | Multi-objective optimization for sensor placement: An integrated combinatorial approach with reduced order model and Gaussian process |
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