Is In-Context Learning (ICL) implicitly equivalent to Gradient Descent (GD)? Several recent works draw analogies between the dynamics of GD and the emergent behavior of ICL in large language models. However, these works make assumptions far from the realistic natural language setting in which language models are trained. Such discrepancies between theory and practice, therefore, necessitate further investigation to validate their applicability. We start by highlighting the weaknesses in prior works that construct Transformer weights to simulate gradient descent. Their experiments with training Transformers on ICL objective, inconsistencies in the order sensitivity of ICL and GD, sparsity of the constructed weights, and sensitivity to parameter changes are some examples of a mismatch from the real-world setting. Furthermore, we probe and compare the ICL vs. GD hypothesis in a natural setting. We conduct comprehensive empirical analyses on language models pretrained on natural data (LLaMa-7B). Our comparisons on various performance metrics highlight the inconsistent behavior of ICL and GD as a function of various factors such as datasets, models, and number of demonstrations. We observe that ICL and GD adapt the output distribution of language models differently. These results indicate that the equivalence between ICL and GD is an open hypothesis, requires nuanced considerations and calls for further studies.

在实际的自然语言环境中，对比了 In-Context Learning (ICL) 和 Gradient Descent (GD) 在语言模型上的表现差异，发现二者在适应语言模型的输出分布上存在不一致的行为。

预训练的Transformer是否真的通过梯度下降来学习上下文?