An accelerated first-order method with complexity analysis for solving cubic regularization subproblems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Control and Optimization
Link
https://link.springer.com/content/pdf/10.1007/s10589-021-00274-7.pdf
Reference26 articles.
1. Agarwal, N., Allen-Zhu, Z., Bullins, B., Hazan, E., Ma, T.: Finding approximate local minima faster than gradient descent. In: Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, pp. 1195–1199. ACM (2017)
2. Barzilai, J., Borwein, J.M.: Two-point step size gradient methods. IMA J. Numer. Anal. 8(1), 141–148 (1988)
3. Beck, A., Teboulle, M.: A fast iterative shrinkage–thresholding algorithm for linear inverse problems. SIAM J. Imag. Sci. 2(1), 183–202 (2009)
4. Bianconcini, T., Liuzzi, G., Morini, B., Sciandrone, M.: On the use of iterative methods in cubic regularization for unconstrained optimization. Comput. Optim. Appl. 60(1), 35–57 (2015)
5. Birgin, E., Martínez, J.: A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. Comput. Optim. Appl. 73(3), 707–753 (2019)
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