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difficulty 4/5

BERT

Definition

A transformer encoder pretrained by hiding 15% of the tokens and predicting them from both sides at once, then fine-tuned on a task with one extra output layer and no architectural surgery.

Formula
LMLM=−∑i∈Mlog⁡p(xi∣x∖M)\mathcal{L}_{\text{MLM}} = -\sum_{i \in M} \log p\big(x_i \mid x_{\setminus M}\big)

Intuition

A language model predicts the next word. That objective is free — every text in the world is already labelled with what comes next — which is why it became the way to pretrain on unlabelled data. But it forces a constraint that has nothing to do with language: to predict token i, the model may only look at tokens before it, or the task would be trivial.

For generating text that constraint is exactly right. For understanding it is a self-inflicted wound. Deciding whether "he went to the bank" means a river or a chequebook depends entirely on what comes afterwards, and a left-to-right model is forbidden from looking.

BERT's move is to change the task rather than the architecture. Hide a few tokens at random and predict those [1, §3.1]. Now every prediction may use the whole sentence, because the answer is not sitting in the context waiting to be copied — it has been removed. Bidirectionality stops being cheating and becomes available.

Formal definition

How it works

Where it's used

Why & when

Worked example

Pitfalls

Check yourself

3 questions

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On the cheat sheet: NLP tasks →

Sources

  1. Devlin, Chang, Lee, Toutanova. BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding (2019)paperhttps://ar5iv.labs.arxiv.org/html/1810.04805
  2. Zhang, Lipton, Li, Smola. Dive into Deep Learningbook · retrieved 2026-09-06https://d2l.ai/

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