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arXiv 1206.6871cs.LGstat.ML
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根据依赖性进行排名-一个公平的标准

Ranking by Dependence - A Fair Criteria

Siemens Medical Solutions(西门子医疗解决方案)

Harald Steck

摘要:

估计随机变量之间的依赖关系,并相应地对它们进行排序,是机器学习中的一个普遍问题。追求频率论和信息论的方法,我们首先表明,p值和互信息可以失败,即使在简单的情况下。然后,我们提出了两个条件,正则化的依赖估计,这导致了一个简单而有效的新措施。我们讨论了它的优点,并将其与完善的模型选择标准进行比较。除此之外,我们推导出一个简单的约束正则化参数估计的图形模型。这导致了等效样本量的最优值的解析近似,这与我们实验中更涉及的贝叶斯方法非常一致。

英文摘要:

Estimating the dependences between random variables, and ranking them accordingly, is a prevalent problem in machine learning. Pursuing frequentist and information-theoretic approaches, we first show that the p-value and the mutual information can fail even in simplistic situations. We then propose two conditions for regularizing an estimator of dependence, which leads to a simple yet effective new measure. We discuss its advantages and compare it to well-established model-selection criteria. Apart from that, we derive a simple constraint for regularizing parameter estimates in a graphical model. This results in an analytical approximation for the optimal value of the equivalent sample size, which agrees very well with the more involved Bayesian approach in our experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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