{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T02:55:44Z","timestamp":1763348144703,"version":"build-2065373602"},"reference-count":20,"publisher":"Tsinghua University Press","issue":"3","license":[{"start":{"date-parts":[[2018,9,1]],"date-time":"2018-09-01T00:00:00Z","timestamp":1535760000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2018,8,4]],"date-time":"2018-08-04T00:00:00Z","timestamp":1533340800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Visual. Med."],"published-print":{"date-parts":[[2018,9]]},"DOI":"10.1007\/s41095-018-0119-7","type":"journal-article","created":{"date-parts":[[2018,8,3]],"date-time":"2018-08-03T22:48:04Z","timestamp":1533336484000},"page":"245-252","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Component SPD matrices: A low-dimensional discriminative data descriptor for image set classification"],"prefix":"10.26599","volume":"4","author":[{"given":"Kai-Xuan","family":"Chen","sequence":"first","affiliation":[{"name":"School of IoT Engineering, Jiangnan University, Wuxi 214122, China; Jiangsu Provincial Engineering Laboratory of Pattern Recognition and Computational Intelligence, Jiangnan University, Wuxi 214122, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao-Jun","family":"Wu","sequence":"additional","affiliation":[{"name":"School of IoT Engineering, Jiangnan University, Wuxi 214122, China; Jiangsu Provincial Engineering Laboratory of Pattern Recognition and Computational Intelligence, Jiangnan University, Wuxi 214122, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"11138","reference":[{"key":"119_CR1","first-page":"140","volume-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition","author":"Z. Huang","year":"2015","unstructured":"Huang, Z.; Wang, R.; Shan, S.; Chen, X. Projection metric learning on Grassmann manifold with application to video based face recognition. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 140\u2013149, 2015."},{"issue":"1","key":"119_CR2","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1109\/TPAMI.2017.2655048","volume":"40","author":"M. Harandi","year":"2017","unstructured":"Harandi, M.; Salzmann, M.; Hartley, R. Dimensionality reduction on SPD manifolds: The emergence of geometry-aware methods. IEEE Transactions on Pattern Analysis and Machine Intelligence Vol. 40, No. 1, 48\u201362, 2017.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"119_CR3","first-page":"231","volume-title":"In: Computer Vision\u2013ACCV 2016. Lecture Notes in Computer Science, Vol. 10115","author":"F.-J. Chang","year":"2016","unstructured":"Chang, F.-J.; Nevatia, R. Image set classification via template triplets and context-aware similarity embedding. In: Computer Vision\u2013ACCV 2016. Lecture Notes in Computer Science, Vol. 10115. Lai, S. H.; Lepetit, V.; Nishino, K.; Sato, Y. Eds. Springer Cham, 231\u2013247, 2016."},{"key":"119_CR4","first-page":"720","volume":"37","author":"Z. Huang","year":"2015","unstructured":"Huang, Z.; Wang, R.; Shan, S.; Li, X.; Chen, X. Log-Euclidean metric learning on symmetric positive definite manifold with application to image set classification. In: Proceedings of the 32nd International Conference on Machine Learning, Vol. 37, 720\u2013729, 2015.","journal-title":"Proceedings of the 32nd International Conference on Machine Learning"},{"key":"119_CR5","first-page":"1","volume-title":"Proceedings of the IEEE Winter Conference on Applications of Computer Vision","author":"M. Faraki","year":"2016","unstructured":"Faraki, M.; Harandi, M. T.; Porikli, F. Image set classification by symmetric positive semi-definite matrices. In: Proceedings of the IEEE Winter Conference on Applications of Computer Vision, 1\u20138, 2016."},{"key":"119_CR6","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1016\/j.neucom.2016.12.004","volume":"226","author":"Z. Chen","year":"2017","unstructured":"Chen, Z.; Jiang, B.; Tang, J.; Luo, B. Image set representation and classification with attributed covariate-relation graph model and graph sparse representation classification. Neurocomputing Vol. 226, 262\u2013268, 2017.","journal-title":"Neurocomputing"},{"key":"119_CR7","first-page":"2496","volume-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition","author":"R. Wang","year":"2012","unstructured":"Wang, R.; Guo, H.; Davis, L. S.; Dai, Q. Covariance discriminative learning: A natural and efficient approach to image set classification. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2496\u20132503, 2012."},{"key":"119_CR8","first-page":"186","volume-title":"Intelligence Science and Big Data Engineering. Image and Video Data Engineering. Lecture Notes in Computer Science, Vol. 9242","author":"J. Ren","year":"2015","unstructured":"Ren, J.; Wu, X. Bidirectional covariance matrices: A compact and efficient data descriptor for image set classification. In: Intelligence Science and Big Data Engineering. Image and Video Data Engineering. Lecture Notes in Computer Science, Vol. 9242. He, X. et al. Eds. Springer Cham, 186\u2013195, 2015."},{"issue":"12","key":"119_CR9","doi-asserted-by":"publisher","first-page":"2859","DOI":"10.1109\/TNNLS.2016.2601307","volume":"28","author":"A. Cherian","year":"2017","unstructured":"Cherian, A.; Sra, S. Riemannian dictionary learning and sparse coding for positive definite matrices. IEEE Transactions on Neural Networks and Learning Systems Vol. 28, No. 12, 2859\u20132871, 2017.","journal-title":"IEEE Transactions on Neural Networks and Learning Systems"},{"issue":"6","key":"119_CR10","doi-asserted-by":"publisher","first-page":"1294","DOI":"10.1109\/TNNLS.2014.2387383","volume":"27","author":"M. T. Harandi","year":"2016","unstructured":"Harandi, M. T.; Hartley, R.; Lovell, B.; Sanderson, C. Sparse coding on symmetric positive definite manifolds using Bregman divergences. IEEE Transactions on Neural Networks and Learning Systems Vol. 27, No. 6, 1294\u20131306, 2016.","journal-title":"IEEE Transactions on Neural Networks and Learning Systems"},{"key":"119_CR11","first-page":"1601","volume-title":"Proceedings of the IEEE International Conference on Computer Vision","author":"P. Li","year":"2013","unstructured":"Li, P.; Wang, Q.; Zuo, W.; Zhang, L. Log-Euclidean kernels for sparse representation and dictionary learning. In: Proceedings of the IEEE International Conference on Computer Vision, 1601\u20131608, 2013."},{"key":"119_CR12","first-page":"4433","volume-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition","author":"Q. Wang","year":"2016","unstructured":"Wang, Q.; Li, P.; Zuo, W.; Zhang, L. RAID-G: Robust estimation of approximate infinite dimensional Gaussian with application to material recognition. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 4433\u20134441, 2016."},{"key":"119_CR13","first-page":"1364","volume-title":"Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing","author":"M. Faraki","year":"2015","unstructured":"Faraki, M.; Harandi, M. T.; Porikli, F. Approximate infinite-dimensional region covariance descriptors for image classification. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, 1364\u20131368, 2015."},{"key":"119_CR14","first-page":"581","volume":"1","author":"O. Arandjelovic","year":"2005","unstructured":"Arandjelovic, O.; Shakhnarovich, G.; Fisher, J.; Cipolla, R.; Darrell, T. Face recognition with image sets using manifold density divergence. In: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Vol. 1, 581\u2013588, 2005.","journal-title":"Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition"},{"key":"119_CR15","first-page":"589","volume-title":"Computer Vision\u2013ECCV 2006. Lecture Notes in Computer Science, Vol. 3952","author":"O. Tuzel","year":"2006","unstructured":"Tuzel, O.; Porikli, F.; Meer, P. Region covariance: A fast descriptor for detection and classification. In: Computer Vision\u2013ECCV 2006. Lecture Notes in Computer Science, Vol. 3952. Leonardis, A.; Bischof, H.; Pinz, A. Eds. Springer Berlin Heidelberg, 589\u2013600, 2006."},{"issue":"1","key":"119_CR16","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1109\/TAC.1981.1102568","volume":"26","author":"B. Moore","year":"1981","unstructured":"Moore, B. Principal component analysis in linear systems: Controllability, observability, and model reduction. IEEE Transactions on Automatic Control Vol. 26, No. 1, 17\u201332, 1981.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"119_CR17","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/978-0-387-78189-1_8","volume-title":"Modern Multivariate Statistical Techniques. Springer Texts in Statistics","author":"A. J. Izenman","year":"2013","unstructured":"Izenman, A. J. Linear discriminant analysis. In: Modern Multivariate Statistical Techniques. Springer Texts in Statistics. Springer New York, 237\u2013280, 2013."},{"issue":"1\u20133","key":"119_CR18","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1016\/j.neucom.2005.06.004","volume":"69","author":"D. Zhang","year":"2005","unstructured":"Zhang, D.; Zhou, Z.-H. (2D)2PCA: Two-directional two-dimensional PCA for efficient face representation and recognition. Neurocomputing Vol. 69, Nos. 1\u20133, 224\u2013231, 2005.","journal-title":"Neurocomputing"},{"issue":"1","key":"119_CR19","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/s11263-005-3222-z","volume":"66","author":"X. Pennec","year":"2006","unstructured":"Pennec, X.; Fillard, P.; Ayache, N. A Riemannian framework for tensor computing. International Journal of Computer Vision Vol. 66, No. 1, 41\u201366, 2006.","journal-title":"International Journal of Computer Vision"},{"key":"119_CR20","first-page":"3926","volume-title":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition","author":"M. Harandi","year":"2015","unstructured":"Harandi, M.; Salzmann, M. Riemannian coding and dictionary learning: Kernels to the rescue. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 3926\u20133935, 2015."}],"container-title":["Computational Visual Media"],"original-title":[],"link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s41095-018-0119-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s41095-018-0119-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s41095-018-0119-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/10750449\/10897387\/10897393.pdf?arnumber=10897393","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T18:38:26Z","timestamp":1762367906000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10897393\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9]]},"references-count":20,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.1007\/s41095-018-0119-7","relation":{},"ISSN":["2096-0662","2096-0433"],"issn-type":[{"type":"electronic","value":"2096-0662"},{"type":"print","value":"2096-0433"}],"subject":[],"published":{"date-parts":[[2018,9]]},"assertion":[{"value":"13 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 May 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 August 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}