Abstract
Nonnegative Matrix Factorization (NMF) has received considerable attention in visual tracking. However noises and outliers are not tackled well due to Frobenius norm in NMF’s objective function. To address this issue, in this paper, NMF with \(L_{2,1}\) norm loss function (robust NMF) is introduced into appearance modelling in visual tracking. Compared to standard NMF, robust NMF not only handles noises and outliers but also provides sparsity property. In our visual tracking framework, basis matrix from robust NMF is used for appearance modelling with additional \(\ell _1\) constraint on reconstruction error. The corresponding iterative algorithm is proposed to solve this problem. To strengthen its practicality in visual tracking, multiplicative update rules in incremental learning for robust NMF are proposed for model update. Experiments on the benchmark show that the proposed method achieves favorable performance compared with other state-of-the-art methods.
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Bucak, S.S., Gunsel, B.: Incremental subspace learning via non-negative matrix factorization. Pattern Recognit. 42(5), 788–797 (2009)
Danelljan, M., Khan, F.S., Felsberg, M., Weijer, J.V.D.: Adaptive color attributes for real-time visual tracking. In: IEEE Conference on Computer Vision and Pattern Recognition (2014)
Hare, S., Saffari, A., Torr, P.H.S.: Struck: structured output tracking with kernels. In: IEEE International Conference on Computer Vision, pp. 263–270 (2011)
Henriques, J.F., Caseiro, R., Martins, P., Batista, J.: High-speed tracking with kernelized correlation filters. IEEE Trans. Pattern Anal. Mach. Intell. 37(3), 583–596 (2015)
Jia, X., Lu, H., Yang, M.H.: Visual tracking via adaptive structural local sparse appearance model. In: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp. 1822–1829 (2012)
Kong, D., Ding, C., Huang, H.: Robust nonnegative matrix factorization using l21-norm. In: Proceedings of the 20th ACM International Conference on Information and Knowledge Management, pp. 673–682. ACM (2011)
Liu, F., Zhou, T., Yang, J., Gu, I.Y.: Robust visual tracking via inverse nonnegative matrix factorization. In: 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE (2016)
Ma, L., Zhang, X., Hu, W., Xing, J., Lu, J., Zhou, J.: Local subspace collaborative tracking. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 4301–4309 (2015)
Wang, D., Lu, H.: On-line learning parts-based representation via incremental orthogonal projective non-negative matrix factorization. Signal Process. 93(6), 1608–1623 (2013)
Wang, D., Lu, H., Yang, M.H.: Online object tracking with sparse prototypes. IEEE Trans. Image Process. 22(1), 314–325 (2013)
Wang, N., Wang, J., Yeung, D.Y.: Online robust non-negative dictionary learning for visual tracking. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 314–325 (2013)
Wu, Y., Lim, J., Yang, M.H.: Object tracking benchmark. IEEE Trans. Pattern Anal. Mach. Intell. 38(4), 1–1 (2015)
Wu, Y., Shen, B., Ling, H.: Visual tracking via online nonnegative matrix factorization. IEEE Trans. Circ. Syst. Video Technol. 24(3), 374–383 (2014)
Zhang, H., Zha, Z.J., Yang, Y., Yan, S., Chua, T.S.: Robust (semi) nonnegative graph embedding. IEEE Trans. Image Process. 23(7), 2996–3012 (2014)
Zhang, H., Hu, S., Zhang, X., Luo, L.: Visual tracking via constrained incremental non-negative matrix factorization. IEEE Signal Process. Lett. 22(9), 1350–1353 (2015)
Zhang, T., Liu, S., Xu, C., Yan, S., Ghanem, B., Ahuja, N., Yang, M.H.: Structural sparse tracking. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 150–158 (2015)
Zhong, W., Lu, H., Yang, M.H.: Robust object tracking via sparse collaborative appearance model. IEEE Trans. Image Process. 23, 2356–2368 (2014)
Acknowledgment
This research is partly supported by NSFC, China (No: 61273258), 863 Plan, China (No. 2015AA042308), USCAST2015-10 and USCAST2013-07.
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Liu, F., Liu, M., Zhou, T., Qiao, Y., Yang, J. (2016). Incremental Robust Nonnegative Matrix Factorization for Object Tracking. In: Hirose, A., Ozawa, S., Doya, K., Ikeda, K., Lee, M., Liu, D. (eds) Neural Information Processing. ICONIP 2016. Lecture Notes in Computer Science(), vol 9948. Springer, Cham. https://doi.org/10.1007/978-3-319-46672-9_68
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DOI: https://doi.org/10.1007/978-3-319-46672-9_68
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