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基于亚模松弛的无标度网络学习的凸公式

A Convex Formulation for Learning Scale-Free Networks via Submodular Relaxatior
课程网址: http://videolectures.net/machine_defazio_scale_free_networks/  
主讲教师: Aaron Defazio
开课单位: 澳大利亚国立大学
开课时间: 2013-06-14
课程语种: 英语
中文简介:
统计和机器学习中的一个关键问题是从数据中确定网络结构。我们考虑要重建的图的结构已知无标度的情况。我们表明,在这种情况下,使用子模函数形成结构稀疏诱导先验是很自然的,我们使用它们的Lovasz扩展来获得凸松弛。对于诸如高斯图形模型之类的易处理类,这导致可以有效解决的凸优化问题。我们表明,我们的方法可以提高合成数据重建网络的准确性。我们还展示了我们之前的鼓励如何在bioinfomatics数据集上进行自由重建。
课程简介: A key problem in statistics and machine learning is the determination of network structure from data. We consider the case where the structure of the graph to be reconstructed is known to be scale-free. We show that in such cases it is natural to formulate structured sparsity inducing priors using submodular functions, and we use their Lovasz extension to obtain a convex relaxation. For tractable classes such as Gaussian graphical models, this leads to a convex optimization problem that can be efficiently solved. We show that our method results in an improvement in the accuracy of reconstructed networks for synthetic data. We also show how our prior encourages scale-free reconstructions on a bioinfomatics dataset.
关 键 词: 机器学习; 网络结构; 子模函数
课程来源: 视频讲座网
最后编审: 2019-05-15:cwx
阅读次数: 57