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Linear Transformers are Versatile In-Context Learners by Vladymyrov, Max; von Oswald, Johannes; Sandler, Mark; Ge, Rong is a scholarly article available to read on EtoBox.

What is Linear Transformers are Versatile In-Context Learners about?

Recent research has demonstrated that transformers, particularly linear attention models, implicitly execute gradient-descent-like algorithms on data provided in-context during their forward inference step. However, their capability in handling more complex problems remains unexplored. In this paper, we prove that each layer of a linear transformer maintains a weight vector for an implicit linear regression problem and can be interpreted as performing a variant of preconditioned gradient descent. We also investigate the use of linear transformers in a challenging scenario where the training data is corrupted with different levels of noise. Remarkably, we demonstrate that for this problem linear transformers discover an intricate and highly effective optimization algorithm, surpassing or matching in performance many reasonable baselines. We analyze this algorithm and show that it is a novel approach incorporating momentum and adaptive rescaling based on noise levels. Our findings show that even linear transformers possess the surprising ability to discover sophisticated optimization strategies.

Author

Vladymyrov, Max; von Oswald, Johannes; Sandler, Mark; Ge, Rong

Published

2024

Language

EN