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arXiv 2109.14501stat.MLcs.AIcs.LG
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迈向分布外学习理论

Towards a theory of out-of-distribution learning

Johns Hopkins University(约翰斯·霍普金斯大学);University of Pennsylvania(宾夕法尼亚大学);Loughborough University(拉夫堡大学)

Jayanta Dey, Ali Geisa, Ronak Mehta, Tyler M. Tomita, Hayden S. Helm, Haoyin Xu, Eric Eaton, Jeffery Dick, Carey E. Priebe, Joshua T. Vogelstein

AI总结:

本文针对分布内与分布外学习范式缺乏正式定义的问题,提出基于PAC学习框架的时序化定义方法,统一刻画从分布内学习到终身学习的可学习性概念。

摘要:

学习是一个学习智能体通过接触经验或数据来提升自身性能的过程。在这一过程中,智能体可能会遇到多样化的学习环境。例如,数据可能一次性全部呈现给学习者,也可能分批呈现,或按顺序呈现。此外,每个数据样本的分布既可能是独立同分布(iid),也可能是非独立同分布(non-iid)。同时,学习算法的部署还可能存在计算和空间约束。学习任务的复杂度会因学习设置及其所受约束的不同而显著变化。然而,值得注意的是,当前文献对许多分布内和分布外学习范式缺乏正式定义。为这些学习设置建立恰当且被普遍认可的定义,对于深入探索不同学习场景下思想的演变,以及为这些学习者推导广义数学界至关重要。在本文中,我们旨在通过提出一种基于概率近似正确(PAC)学习框架的时序化方法来定义不同学习任务,从而解决这一问题。我们将从分布内学习开始,逐步推进到最近提出的终身学习或持续学习。我们采用一致的术语和符号来展示每一种学习框架如何代表更广泛、更一般化的可学习性概念的一个特定实例。我们希望这项工作能够激发一种被普遍认可的方法来量化不同类型的学习,从而促进该领域更深入的理解与进步。

英文摘要:

Learning is a process wherein a learning agent enhances its performance through exposure of experience or data. Throughout this journey, the agent may encounter diverse learning environments. For example, data may be presented to the leaner all at once, in multiple batches, or sequentially. Furthermore, the distribution of each data sample could be either identical and independent (iid) or non-iid. Additionally, there may exist computational and space constraints for the deployment of the learning algorithms. The complexity of a learning task can vary significantly, depending on the learning setup and the constraints imposed upon it. However, it is worth noting that the current literature lacks formal definitions for many of the in-distribution and out-of-distribution learning paradigms. Establishing proper and universally agreed-upon definitions for these learning setups is essential for thoroughly exploring the evolution of ideas across different learning scenarios and deriving generalized mathematical bounds for these learners. In this paper, we aim to address this issue by proposing a chronological approach to defining different learning tasks using the provably approximately correct (PAC) learning framework. We will start with in-distribution learning and progress to recently proposed lifelong or continual learning. We employ consistent terminology and notation to demonstrate how each of these learning frameworks represents a specific instance of a broader, more generalized concept of learnability. Our hope is that this work will inspire a universally agreed-upon approach to quantifying different types of learning, fostering greater understanding and progress in the field.

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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