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arXiv 2106.08068cs.LGcond-mat.dis-nnstat.ML

An Analytical Theory of Curriculum Learning in Teacher-Student Networks

Bocconi University(博科尼大学);Gatsby Computational Neuroscience Unit & Sainsbury Wellcome Centre, University College London(盖茨比计算神经科学单位与塞恩斯伯里惠康中心,伦敦大学学院);FAIR, Meta AI(FAIR,Meta AI)

Luca Saglietti, Stefano Sarao Mannelli, Andrew Saxe

英文摘要:

In humans and animals, curriculum learning -- presenting data in a curated order - is critical to rapid learning and effective pedagogy. Yet in machine learning, curricula are not widely used and empirically often yield only moderate benefits. This stark difference in the importance of curriculum raises a fundamental theoretical question: when and why does curriculum learning help? In this work, we analyse a prototypical neural network model of curriculum learning in the high-dimensional limit, employing statistical physics methods. Curricula could in principle change both the learning speed and asymptotic performance of a model. To study the former, we provide an exact description of the online learning setting, confirming the long-standing experimental observation that curricula can modestly speed up learning. To study the latter, we derive performance in a batch learning setting, in which a network trains to convergence in successive phases of learning on dataset slices of varying difficulty. With standard training losses, curriculum does not provide generalisation benefit, in line with empirical observations. However, we show that by connecting different learning phases through simple Gaussian priors, curriculum can yield a large improvement in test performance. Taken together, our reduced analytical descriptions help reconcile apparently conflicting empirical results and trace regimes where curriculum learning yields the largest gains. More broadly, our results suggest that fully exploiting a curriculum may require explicit changes to the loss function at curriculum boundaries.

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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