Riemannian BFGS Algorithm with Applications

Riemannian BFGS Algorithm with Applications
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DOI:
10.1007/978-3-642-12598-0_16
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发表时间:
2010
期刊:
--
影响因子:
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通讯作者:
Chunhong Qi;K. Gallivan;P. Absil
Chunhong Qi;K. Gallivan;P. Absil
中科院分区:
其他
文献类型:
--
作者:
Chunhong Qi;K. Gallivan;P. Absil

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我们提出了一种算法模型,称为黎曼BFGS (RBFGS),它包含了经典的BFGS方法以及先前提出的该方法的黎曼扩展。特别有趣的是用于在切线空间之间移动信息的传输方式的选择以及实现RBFGS算法的不同方式。
We present an algorithm model, called Riemannian BFGS (RBFGS), that subsumes the classical BFGS method in ℝnas well as previously proposed Riemannian extensions of that method. Of particular interest is the choice of transport used to move information between tangent spaces and the different ways of implementing the RBFGS algorithm.