2.3.1 不可知的PAC Learning(Agnostic PAC Learning) 上面我们已经提到,在实践中,要达到Realizability Assumption实际上非常困难,不仅如此,在此前的讨论中我们假设样本的标签完全由输入的特征决定,但是实际上这也并不一定,例如,有可能存在两个木瓜的颜色和硬度都一模一样,但是味道大相径庭,因此不假设标签完全由输入元素...
对于简单的问题(如Learning axis-aligned rectangles)可以直接使用PAC理论证明其是可学习的,但对于大多数问题,只能给出定性的分析。 概率上界 PAC理论指出学习的关键是 PS∼DN[R^S(h)≤ϵ]≥1−δ⇔R(h)≈0 实际泛化误差R(h)无法直接获得,但根据大数定律,当样本量N足够大时,经验误差和泛化误差趋于相等...
PAC-Bayesian Machine Learning: Learning by Optimizing a Performance GuaranteeMario Marchand
Foundations of Machine Learning: The PAC Learning Framework(2)(一)假设集有限在一致性下的学习界。 在上一篇文章中我们介绍了PAC-learnable的定义,以及证明了一个例子是PAC-learnable。 这一节我们介绍当hypothe
这本书是对于想要知道ML更深的理论知识特别是statistical learning的一本必读书。不过里面的notation有的时候真的很乱。 给出了不少平时不太会在别的书里看到的理论证明,比如PAC-Bayes Bounds,regularized risk minimization principle,非常elegant。而且经常会有定性和定量的两种讨论,对于理解这些理论很有帮助。
of actions of the MDP used for learning. Although they tend to have low space and computa- tional complexity, no model-free algorithm has been proven to be PAC-MDP. In this paper, we present a new model-free algorithm, Delayed Q-learning, and prove it is the first such algorithm. ...
Section2:PACMachineEdition PACMachineEditionoffersyouacompletesolutionforthedevelopmentofautomation applications,inonepackage.MachineEditionfeaturesanintegrateddevelopmentenvironment andtoolsthatenableyoutospendmoretimebuildingapplicationsandlesstimelearningthe software.AllMachineEditionproductsarefullyintegratedintotheenvironment...
PacBio will use Google’s genomic analysis, machine learning and algorithm development tools to improve PacBio’s highly accurate HiFi sequencing.
One of the most basic lower bounds in machine learning is that in nearly any nontrivial setting, it takes at least 1/ϵ samples to learn to error ϵ (and more, if the classifier being learned is complex). However, suppose that data points are agents who have the ability to improve ...
It is, therefore, of interest to the machine learning community on practical as well as theoretical counts to consider the existence of a test or criterion for deciding the feasibility of attempting to learn. We investigate the existence of such a criterion in the setting of PAC-learning, ...