论文标题

监督学习的无午餐定理

The no-free-lunch theorems of supervised learning

论文作者

Sterkenburg, Tom F., Grünwald, Peter D.

论文摘要

无需午餐定理提出了一个怀疑的结论,即所有可能的机器学习算法同样缺乏理由。但是,这个学习理论的空间如何表明某些算法比其他算法更好?我们指出,与归纳哲学的绘制相似之处,无午餐的结果以纯粹的数据驱动为前提是学习算法的概念。在这个概念上,每种算法都必须具有固有的归纳偏见,需要理由。我们认为,许多标准学习算法应该被理解为模型依赖性:在每个应用程序中,它们还需要输入模型,代表偏差。通用算法本身,可以为它们提供模型相关的理由。

The no-free-lunch theorems promote a skeptical conclusion that all possible machine learning algorithms equally lack justification. But how could this leave room for a learning theory, that shows that some algorithms are better than others? Drawing parallels to the philosophy of induction, we point out that the no-free-lunch results presuppose a conception of learning algorithms as purely data-driven. On this conception, every algorithm must have an inherent inductive bias, that wants justification. We argue that many standard learning algorithms should rather be understood as model-dependent: in each application they also require for input a model, representing a bias. Generic algorithms themselves, they can be given a model-relative justification.

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