论文标题
同态自动编码器 - 从观察到的过渡中学习组结构表示
Homomorphism Autoencoder -- Learning Group Structured Representations from Observed Transitions
论文作者
论文摘要
代理如何学习内部模型,这些模型在很大程度上是一个开放的问题。随着机器学习不仅朝着包含观测知识的表示,我们使用代表学习和小组理论的工具研究了此问题。我们提出的方法使能够在世界上作用的代理学习具有与修改它的动作一致的感官信息的内部表示。我们使用配备了在其潜在空间上起作用的组表示的自动编码器,该自动编码器使用e夫衍生的损失进行了训练,以便在小组表示上执行合适的同构属性。与现有工作相反,我们的方法不需要对小组的先验知识,也不限制代理商可以执行的一组行动。我们从理论上激励我们的方法,并从经验上表明它可以学习动作的小组表示,从而捕获应用于环境的一组转换的结构。我们进一步表明,这使代理商可以以提高的准确性来预测未来动作序列的影响。
How can agents learn internal models that veridically represent interactions with the real world is a largely open question. As machine learning is moving towards representations containing not just observational but also interventional knowledge, we study this problem using tools from representation learning and group theory. We propose methods enabling an agent acting upon the world to learn internal representations of sensory information that are consistent with actions that modify it. We use an autoencoder equipped with a group representation acting on its latent space, trained using an equivariance-derived loss in order to enforce a suitable homomorphism property on the group representation. In contrast to existing work, our approach does not require prior knowledge of the group and does not restrict the set of actions the agent can perform. We motivate our method theoretically, and show empirically that it can learn a group representation of the actions, thereby capturing the structure of the set of transformations applied to the environment. We further show that this allows agents to predict the effect of sequences of future actions with improved accuracy.