Abstract
Recent state-of-the-art deep metric learning approaches require large number of labeled examples for their success. They cannot directly exploit unlabeled data. When labeled data is scarce, it is very essential to be able to make use of additionally available unlabeled data to learn a distance metric in a semi-supervised manner. Despite the presence of a few traditional, non-deep semi-supervised metric learning approaches, they mostly rely on the min-max principle to encode the pairwise constraints, although there are a number of other ways as offered by traditional weakly-supervised metric learning approaches. Moreover, there is no flow of information from the available pairwise constraints to the unlabeled data, which could be beneficial. This paper proposes to learn a new metric by constraining it to be close to a prior metric while propagating the affinities among pairwise constraints to the unlabeled data via a closed-form solution. The choice of a different prior metric thus enables encoding of the pairwise constraints by following formulations other than the min-max principle.
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References
Atzmon, Y., Shalit, U., Chechik, G.: Learning sparse metrics, one feature at a time. J. Mach. Learn. Res. (JMLR) 1, 1–48 (2015)
Baghshah, M.S., Shouraki, S.B.: Semi-supervised metric learning using pairwise constraints. In: Proceedings of International Joint Conference on Artificial Intelligence (IJCAI), pp. 1217–1222 (2009)
Bhojanapalli, S., Boumal, N., Jain, P., Netrapalli, P.: Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form. arXiv preprint arXiv:1803.00186 (2018)
Bhojanapalli, S., Kyrillidis, A., Sanghavi, S.: Dropping convexity for faster semi-definite optimization. In: Proceedings of Conference on Learning Theory (COLT), pp. 530–582 (2016)
Chua, T.S., Tang, J., Hong, R., Li, H., Luo, Z., Zheng, Y.: NUS-WIDE: a real-world web image database from national university of Singapore. In: Proceedings of ACM International Conference on Image and Video Retrieval (CIVR), p. 48 (2009)
Davis, J.V., Kulis, B., Jain, P., Sra, S., Dhillon, I.S.: Information-theoretic metric learning. In: Proceedings of International Conference on Machine Learning (ICML), pp. 209–216 (2007)
Dong, W., Moses, C., Li, K.: Efficient k-nearest neighbor graph construction for generic similarity measures. In: Proceedings of International Conference on World Wide Web (WWW), pp. 577–586. ACM (2011)
Duan, Y., Zheng, W., Lin, X., Lu, J., Zhou, J.: Deep adversarial metric learning. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 2780–2789 (2018)
Faraki, M., Harandi, M.T., Porikli, F.: Large-scale metric learning: a voyage from shallow to deep. IEEE Trans. Neural Netw. Learn. Syst. 29(9), 4339–4346 (2018)
Gray, D., Brennan, S., Tao, H.: Evaluating appearance models for recognition, reacquisition, and tracking. In: IEEE International Workshop on Performance Evaluation for Tracking and Surveillance (PETS), vol. 3 (2007)
Harandi, M., Salzmann, M., Hartley, R.: Joint dimensionality reduction and metric learning: a geometric take. In: Proceedings of International Conference on Machine Learning (ICML) (2017)
He, K., Zhang, X., Ren, S., Sun, J.: Deep residual learning for image recognition. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 770–778 (2016)
He, X., Niyogi, P.: Locality preserving projections. In: Proceedings of Neural Information Processing Systems (NIPS), pp. 153–160 (2003)
Hoi, S.C., Liu, W., Chang, S.F.: Semi-supervised distance metric learning for collaborative image retrieval and clustering. ACM Trans. Multimed. Comput. Commun. Appl. 6(3), 18 (2010)
Iscen, A., Tolias, G., Avrithis, Y., Chum, O.: Mining on manifolds: metric learning without labels. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2018)
Koestinger, M., Hirzer, M., Wohlhart, P., Roth, P.M., Bischof, H.: Large scale metric learning from equivalence constraints. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 2288–2295 (2012)
Liu, W., Ma, S., Tao, D., Liu, J., Liu, P.: Semi-supervised sparse metric learning using alternating linearization optimization. In: Proc. of ACM International Conference on Special Interest Group on Knowledge Discovery and Data Mining (SIGKDD), pp. 1139–1148 (2010)
Movshovitz-Attias, Y., Toshev, A., Leung, T.K., Ioffe, S., Singh, S.: No fuss distance metric learning using proxies. In: Proceedings of IEEE International Conference on Computer Vision (ICCV) (2017)
Niu, G., Dai, B., Yamada, M., Sugiyama, M.: Information-theoretic semi-supervised metric learning via entropy regularization. Neural Comput. 26(8), 1717–1762 (2014)
Oh Song, H., Xiang, Y., Jegelka, S., Savarese, S.: Deep metric learning via lifted structured feature embedding. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 4004–4012 (2016)
Schroff, F., Kalenichenko, D., Philbin, J.: FaceNet: a unified embedding for face recognition and clustering. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 815–823 (2015)
Sohn, K.: Improved deep metric learning with multi-class n-pair loss objective. In: Proceedings of Neural Information Processing Systems (NIPS), pp. 1857–1865 (2016)
Szegedy, C., et al.: Going deeper with convolutions. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 1–9 (2015)
Wah, C., Branson, S., Welinder, P., Perona, P., Belongie, S.: The Caltech-UCSD Birds-200-2011 Dataset. Technical report (2011)
Wang, J., Zhou, F., Wen, S., Liu, X., Lin, Y.: Deep metric learning with angular loss. In: Proceedings of IEEE International Conference on Computer Vision (ICCV) (2017)
Xian, Y., Lampert, C.H., Schiele, B., Akata, Z.: Zero-shot learning-a comprehensive evaluation of the good, the bad and the ugly. arXiv preprint arXiv:1707.00600 (2017)
Ying, S., Wen, Z., Shi, J., Peng, Y., Peng, J., Qiao, H.: Manifold preserving: an intrinsic approach for semisupervised distance metric learning. IEEE Trans. Neural Netw. Learn. Syst. (2017)
Zadeh, P., Hosseini, R., Sra, S.: Geometric mean metric learning. In: Proceedings of International Conference on Machine Learning (ICML), pp. 2464–2471 (2016)
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Kr Dutta, U., Chandra Sekhar, C. (2018). Affinity Propagation Based Closed-Form Semi-supervised Metric Learning Framework. In: Kůrková, V., Manolopoulos, Y., Hammer, B., Iliadis, L., Maglogiannis, I. (eds) Artificial Neural Networks and Machine Learning – ICANN 2018. ICANN 2018. Lecture Notes in Computer Science(), vol 11139. Springer, Cham. https://doi.org/10.1007/978-3-030-01418-6_55
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