Cubic regularization of newton method and its global performance. Mathematical programming, 108(1):177–205, 2006. 编辑于 2024-06-10 14:48・湖南 优化 牛顿法 赞同11添加评论 分享喜欢收藏申请转载 写下你的评论... 还没有评论,发表第一个评论吧...
Cubic Regularized Newton基本性质这一文章介绍了Cubic Newton的基本性质。接下来将介绍其全局收敛性及其证明,首先简单回顾之前提过的公式。 (1)TM(x)∈Argminy[⟨f′(x),y−x⟩+12⟨f″(x)(y−x),y−x⟩+M6‖y−x‖3]. (2)‖f′(TM(x))‖≤12(L+M)rM2(x). (3)ifM≥L,f...
The cubic regularization (CR) algorithm has attracted a lot of attentions in the literature in recent years. We propose a new reformulation of the cubic regularization subproblem. The reformulation is an unconstrained convex problem that requires computing the minimum eigenvalue of the Hessian. Then ...
High-order tensor methods for solving both convex and nonconvex optimization problems have recently generated significant research interest, due in part to the natural way in which higher derivatives can be incorporated into adaptive regularization frameworks, leading to algorithms with optimal global rates...
Our bid to solving such model uses the framework of cubic regularization of Newton's method. As well known, the crux in cubic regularization is its utilization of the Hessian information, which may be computationally expensive for large... X Chen,B Jiang,T Lin,... 被引量: 9发表: 2018年...
The latter provides regularization to prevent overfitting of sparse data with too many parameters. When a parameter described by the grid is retrieved for a point in space (and time), for example for a particle (frame), B-spline interpolation is performed at that point on the grid. To fit...
(for example, the number of frames or pixels) and available signal. The latter provides regularization to prevent overfitting of sparse data with too many parameters. When a parameter described by the grid is retrieved for a point in space (and time), for example for a particle (frame), B...
3. A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization [J] . Birgin E. G., Martinez J. M. Computational optimization and applications . 2019,第3期 机译:一种牛顿的方法,具有混合体系和立方正则化的无约束最小化 4. A COMPARISON OF PIECEWISE ...
et al. Analytical low-dose CBCT reconstruction using non-local total variation regularization for image guided radiation therapy. Front. Oncol. 10, 242 (2020). Article Google Scholar Lee, H., Yoon, J. & Lee, E. Anisotropic total variation denoising technique for low-dose cone-beam computed...
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