arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.06599cs.LGstat.ML
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使用Studensing流程进行强大的模型训练和泛化

Robust model training and generalisation with Studentising flows

KTH Royal Institute of Technology(瑞典皇家理工学院)

Simon Alexanderson, Gustav Eje Henter

摘要:

标准化流是易于处理的概率模型,利用深度学习的力量来描述广泛的参数分布族,同时使用最大似然法保持可训练性。我们讨论了这些方法可以进一步改进的基础上,从强大的(特别是,耐)统计的见解。具体来说,我们建议赋予基于流的模型,如多变量学生的$t$,作为一个简单的下拉式替代传统的正常化流使用的高斯分布的肥尾潜在分布。虽然鲁棒性带来了许多优点,本文探讨了其中的两个:1)我们描述了如何使用厚尾基分布可以提供类似于梯度裁剪的好处,但不会损害该方法的渐近一致性。2)我们还讨论了如何强大的想法导致模型与减少泛化差距和提高持有的数据可能性。在几个不同的数据集上的实验证实了所提出的方法在这两方面的有效性。

英文摘要:

Normalising flows are tractable probabilistic models that leverage the power of deep learning to describe a wide parametric family of distributions, all while remaining trainable using maximum likelihood. We discuss how these methods can be further improved based on insights from robust (in particular, resistant) statistics. Specifically, we propose to endow flow-based models with fat-tailed latent distributions such as multivariate Student's $t$, as a simple drop-in replacement for the Gaussian distribution used by conventional normalising flows. While robustness brings many advantages, this paper explores two of them: 1) We describe how using fatter-tailed base distributions can give benefits similar to gradient clipping, but without compromising the asymptotic consistency of the method. 2) We also discuss how robust ideas lead to models with reduced generalisation gap and improved held-out data likelihood. Experiments on several different datasets confirm the efficacy of the proposed approach in both regards.

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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