{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:02:17Z","timestamp":1753887737823,"version":"3.41.2"},"reference-count":37,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,4,24]],"date-time":"2021-04-24T00:00:00Z","timestamp":1619222400000},"content-version":"vor","delay-in-days":113,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61703087","71502029"],"award-info":[{"award-number":["61703087","71502029"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>One of the most efficient nondestructive methods for pipeline in\u2010line inspection is magnetic flux leakage (MFL) inspection. Estimating the size of the defect from MFL signal is one of the key problems of MFL inspection. As the inspection signal is usually contaminated by noise, sizing the defect is an ill\u2010posed inverse problem, especially when sizing the depth as a complex shape. An actor\u2010critic structure\u2010based algorithm is proposed in this paper for sizing complex depth profiles. By learning with more information from the depth profile without knowing the corresponding MFL signal, the algorithm proposed saves computational costs and is robust. A pinning strategy is embedded in the reconstruction process, which highly reduces the dimension of action space. The pinning actor\u2010critic structure (PACS) helps to make the reward for critic network more efficient when reconstructing the depth profiles with high degrees of freedom. A nonlinear FEM model is used to test the effectiveness of algorithm proposed under 20\u2009dB noise. The results show that the algorithm reconstructs the depth profile of defects with good accuracy and is robust against noise.<\/jats:p>","DOI":"10.1155\/2021\/9995033","type":"journal-article","created":{"date-parts":[[2021,4,24]],"date-time":"2021-04-24T16:50:44Z","timestamp":1619283044000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Pinning Actor\u2010Critic Structure\u2010Based Algorithm for Sizing Complex\u2010Shaped Depth Profiles in MFL Inspection with High Degree of Freedom"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8742-904X","authenticated-orcid":false,"given":"Zhenning","family":"Wu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5958-3683","authenticated-orcid":false,"given":"Yiming","family":"Deng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5892-0390","authenticated-orcid":false,"given":"Lixing","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,4,24]]},"reference":[{"key":"e_1_2_9_1_2","first-page":"811","article-title":"A new approach to risk based pipeline integrity management","volume":"426","author":"Palmer-Jones R.","year":"2006","journal-title":"International Pipeline Conference"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1134\/S1061830906080018"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.3390\/s151229845"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2016.2631525"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2006.880091"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ndteint.2012.11.001"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ndteint.2010.05.006"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2013.2283343"},{"key":"e_1_2_9_9_2","unstructured":"MaZ.andLiuH. 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