A Brief Introduction to Manifold Optimization

作者: Jiang Hu , Xin Liu , Zai-Wen Wen , Ya-Xiang Yuan

DOI: 10.1007/S40305-020-00295-9

关键词:

摘要: … the ground-truth matrix A is known, an alternative model for a fixed-rank matrix completion is … For data sets with a few outliers, the robust low-rank matrix completion problem (with the …

参考文章(130)
Haixia Liu, , Jian-Feng Cai, Yang Wang, Subspace clustering by ( k , k )-sparse matrix factorization Inverse Problems and Imaging. ,vol. 11, pp. 539- 551 ,(2017) , 10.3934/IPI.2017025
Shiqian Ma, Anthony Man-Cho So, Shuzhong Zhang, Bo Jiang, Vector Transport-Free SVRG with General Retraction for Riemannian Optimization: Complexity Analysis and Practical Implementation arXiv: Optimization and Control. ,(2017)
Andre Milzarek, Zaiwen Wen, Yaxiang Yuan, Jiang Hu, Adaptive Regularized Newton Method for Riemannian Optimization arXiv: Optimization and Control. ,(2017)
Yuqian Zhang, Yenson Lau, Han-Wen Kuo, Sky Cheung, Abhay Pasupathy, John Wright, On the Global Geometry of Sphere-Constrained Sparse Blind Deconvolution computer vision and pattern recognition. pp. 4381- 4389 ,(2017) , 10.1109/CVPR.2017.466
E. G. Birgin, G. Haeser, A. Ramos, Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points Computational Optimization and Applications. ,vol. 69, pp. 51- 75 ,(2018) , 10.1007/S10589-017-9937-2
Timothy Carson, Dustin G Mixon, Soledad Villar, Rachel Ward, Manifold optimization for k-means clustering international conference on sampling theory and applications. pp. 73- 77 ,(2017) , 10.1109/SAMPTA.2017.8024388
Fanhua Shang, Yuanyuan Liu, Hong Cheng, Licheng Jiao, James Cheng, Accelerated First-order Methods for Geodesically Convex Optimization on Riemannian Manifolds neural information processing systems. ,vol. 30, pp. 4868- 4877 ,(2017)
Shiqian Ma, Shuzhong Zhang, Shuzhong Zhang, Junyu Zhang, Primal-Dual Optimization Algorithms over Riemannian Manifolds: an Iteration Complexity Analysis arXiv: Optimization and Control. ,(2017)
Alex Toth, J. Austin Ellis, Tom Evans, Steven Hamilton, C. T. Kelley, Roger Pawlowski, Stuart Slattery, Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations SIAM Journal on Scientific Computing. ,vol. 39, ,(2017) , 10.1137/16M1080677