{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,15]],"date-time":"2025-11-15T10:28:46Z","timestamp":1763202526951,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2021,9,10]],"date-time":"2021-09-10T00:00:00Z","timestamp":1631232000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61671190"],"award-info":[{"award-number":["61671190"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Although hyperspectral data provide rich feature information and are widely used in other fields, the data are still scarce. Training small sample data classification is still a major challenge for HSI classification based on deep learning. Recently, the method of mining sample relationships has been proved to be an effective method for training small samples. However, this strategy requires high computational power, which will increase the difficulty of network model training. This paper proposes a modified depthwise separable relational network to deeply capture the similarity between samples. In addition, in order to effectively mine the similarity between samples, the feature vectors of support samples and query samples are symmetrically spliced. According to the metric distance between symmetrical structures, the dependence of the model on samples can be effectively reduced. Firstly, in order to improve the training efficiency of the model, depthwise separable convolution is introduced to reduce the computational cost of the model. Secondly, the Leaky-ReLU function effectively activates all neurons in each layer of neural network to improve the training efficiency of the model. Finally, the cosine annealing learning rate adjustment strategy is introduced to avoid the model falling into the local optimal solution and enhance the robustness of the model. The experimental results on two widely used hyperspectral remote sensing image data sets (Pavia University and Kennedy Space Center) show that compared with seven other advanced classification methods, the proposed method achieves better classification accuracy under the condition of limited training samples.<\/jats:p>","DOI":"10.3390\/sym13091673","type":"journal-article","created":{"date-parts":[[2021,9,12]],"date-time":"2021-09-12T21:48:01Z","timestamp":1631483281000},"page":"1673","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Depthwise Separable Relation Network for Small Sample Hyperspectral Image Classification"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9118-230X","authenticated-orcid":false,"given":"Aili","family":"Wang","sequence":"first","affiliation":[{"name":"Heilongjiang Province Key Laboratory of Laser Spectroscopy Technology and Application, College of Measurement and Control Technology and Communication Engineering, Harbin University of Science and Technology, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chengyang","family":"Liu","sequence":"additional","affiliation":[{"name":"Heilongjiang Province Key Laboratory of Laser Spectroscopy Technology and Application, College of Measurement and Control Technology and Communication Engineering, Harbin University of Science and Technology, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dong","family":"Xue","sequence":"additional","affiliation":[{"name":"Heilongjiang Province Key Laboratory of Laser Spectroscopy Technology and Application, College of Measurement and Control Technology and Communication Engineering, Harbin University of Science and Technology, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haibin","family":"Wu","sequence":"additional","affiliation":[{"name":"Heilongjiang Province Key Laboratory of Laser Spectroscopy Technology and Application, College of Measurement and Control Technology and Communication Engineering, Harbin University of Science and Technology, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuxiao","family":"Zhang","sequence":"additional","affiliation":[{"name":"Heilongjiang Province Key Laboratory of Laser Spectroscopy Technology and Application, College of Measurement and Control Technology and Communication Engineering, Harbin University of Science and Technology, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Meihong","family":"Liu","sequence":"additional","affiliation":[{"name":"Heilongjiang Province Key Laboratory of Laser Spectroscopy Technology and Application, College of Measurement and Control Technology and Communication Engineering, Harbin University of Science and Technology, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,9,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1109\/MSP.2013.2279179","article-title":"Advances in hyperspectral image classification: Earth moni-toring with statistical learning methods","volume":"31","author":"Tuia","year":"2014","journal-title":"IEEE Signal Process. 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