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用于计算预算模型选择的Oracle不等式

Oracle inequalities for computationally budgeted model selection
课程网址: http://videolectures.net/colt2011_agarwal_model/  
主讲教师: Alekh Agarwal
开课单位: 微软公司
开课时间: 2011-08-02
课程语种: 英语
中文简介:
我们使用计算约束下的惩罚经验损失最小化来分析一般模型选择过程。虽然经典模型选择方法不考虑执行模型选择的计算方面,但我们认为任何实际的模型选择程序都不能只交易o?估计和逼近误差,以及计算不同函数类的经验最小值所需的计算工作量的影响。我们提供了一个分析此类问题的框架,并在计算预算下为模型选择提供算法。这些算法满足oracle不等式,表明所选模型的风险并不比我们将所有计算预算都用于最佳函数类的情况差。
课程简介: We analyze general model selection procedures using penalized empirical loss minimization under computational constraints. While classical model selection approaches do not consider computational aspects of performing model selection, we argue that any practical model selection procedure must not only trade o estimation and approximation error, but also the effects of the computational effort required to compute empirical minimizers for di fferent function classes. We provide a framework for analyzing such problems, and we give algorithms for model selection under a computational budget. These algorithms satisfy oracle inequalities that show that the risk of the selected model is not much worse than if we had devoted all of our computational budget to the best function class.
关 键 词: 计算约束; 计算预算; oracle不等式
课程来源: 视频讲座网
最后编审: 2020-04-22:chenxin
阅读次数: 177