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difficulty 4/5

Vision transformer

Definition

A transformer applied to an image cut into fixed-size patches, with no convolution anywhere. It has far less built-in knowledge about images than a CNN, and it has to buy the difference with data.

Formula
N=HWP2z0=[xclass; xp1E; … ; xpNE]+EposN = \frac{HW}{P^2} \qquad \mathbf{z}_0 = [\mathbf{x}_{\text{class}};\, \mathbf{x}_p^1 \mathbf{E};\, \dots;\, \mathbf{x}_p^N \mathbf{E}] + \mathbf{E}_{pos}

Intuition

A transformer consumes a sequence of tokens. An image is not a sequence, and the obvious fix — one token per pixel — is impossible, because attention costs the square of the sequence length and a 224×224 image has fifty thousand pixels.

The Vision Transformer's answer is almost embarrassingly direct: cut the image into fixed squares, flatten each one, project it to the model dimension, and call that a token. Dosovitskiy et al. describe the result as showing "that this reliance on CNNs is not necessary and a pure transformer applied directly to sequences of image patches can perform very well on image classification tasks" [1, Abstract].

What makes the page interesting is not that it works. It is when it works. A CNN is built knowing several true things about images; a ViT is not told them, and has to discover them. That trade is the whole story, and it has a price denominated in training data.

Formal definition

How it works

Where it's used

Why & when

Worked example

Pitfalls

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3 questions

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Sources

  1. Dosovitskiy, Beyer, Kolesnikov, Weissenborn, Zhai, Unterthiner, et al.. An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale (2021)paperhttps://ar5iv.labs.arxiv.org/html/2010.11929
  2. Zhang, Lipton, Li, Smola. Dive into Deep Learning — Transformers for Visionbook · retrieved 2026-09-14https://d2l.ai/chapter_attention-mechanisms-and-transformers/vision-transformer.html
  3. Radford, Kim, Hallacy, Ramesh, Goh, Agarwal, Sastry, Askell, Mishkin, Clark, Krueger, Sutskever. Learning Transferable Visual Models From Natural Language Supervision (2021)paperhttps://arxiv.org/abs/2103.00020

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