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arxiv: 2010.11929 · v2 · pith:XMH7WNHXnew · submitted 2020-10-22 · 💻 cs.CV · cs.AI· cs.LG

An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Pith reviewed 2026-05-24 14:20 UTC · model grok-4.3

classification 💻 cs.CV cs.AIcs.LG
keywords vision transformerimage classificationtransformer architectureimage patchespre-trainingtransfer learningconvolutional networks
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The pith

A pure transformer applied directly to sequences of image patches performs very well on image classification tasks after large-scale pre-training.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper tests whether convolutional networks are required for strong vision performance or if a standard transformer can handle images on its own. It splits each image into a sequence of fixed-size patches, embeds them linearly, and feeds the sequence into a transformer encoder exactly as text is processed. When the resulting model is pre-trained on large data and transferred, it reaches or exceeds the accuracy of leading convolutional networks on benchmarks such as ImageNet while using less training compute. A sympathetic reader would therefore conclude that the convolutional inductive biases long assumed necessary in vision are dispensable once data and capacity are sufficient.

Core claim

The Vision Transformer processes an image by dividing it into a grid of 16x16 patches, linearly projecting each patch into an embedding, adding learnable position embeddings, and passing the resulting sequence through a standard transformer encoder. After pre-training on large datasets the model is fine-tuned on target tasks and attains excellent accuracy on ImageNet, CIFAR-100, VTAB and similar benchmarks while requiring substantially fewer computational resources than state-of-the-art convolutional networks.

What carries the argument

Vision Transformer (ViT): a standard transformer encoder applied to a sequence of linearly embedded image patches rather than to convolutional feature maps.

If this is right

  • ViT reaches or exceeds the accuracy of leading convolutional networks on ImageNet, CIFAR-100 and VTAB after the same pre-training.
  • The model trains with substantially lower computational cost than state-of-the-art CNNs while achieving comparable or better transfer performance.
  • Convolutional inductive biases are shown to be unnecessary once pre-training scale is large enough.
  • The same patch-sequence architecture transfers successfully to multiple mid-sized and small recognition benchmarks.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same patch-to-sequence reduction could be tested on dense prediction tasks such as segmentation or detection to check whether the performance pattern holds beyond classification.
  • If the scaling behavior observed in language models also appears here, further increases in data and model size would be expected to widen the efficiency advantage over CNNs.
  • Alternative patch sizes or hierarchical token merging could be explored to reduce the quadratic cost of self-attention on high-resolution inputs.

Load-bearing premise

Large amounts of pre-training data and model capacity can fully compensate for the absence of convolutional inductive biases such as locality and translation equivariance.

What would settle it

A controlled experiment in which a Vision Transformer, trained and transferred under the same large-scale regime, consistently underperforms matched convolutional networks across the reported mid-sized and small image-classification benchmarks.

Figures

Figures reproduced from arXiv: 2010.11929 by Alexander Kolesnikov, Alexey Dosovitskiy, Dirk Weissenborn, Georg Heigold, Jakob Uszkoreit, Lucas Beyer, Matthias Minderer, Mostafa Dehghani, Neil Houlsby, Sylvain Gelly, Thomas Unterthiner, Xiaohua Zhai.

Figure 1
Figure 1. Figure 1: Model overview. We split an image into fixed-size patches, linearly embed each of them, [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Breakdown of VTAB performance in Natural, Specialized, and Structured task groups. model still took substantially less compute to pre-train than prior state of the art. However, we note that pre-training efficiency may be affected not only by the architecture choice, but also other pa￾rameters, such as training schedule, optimizer, weight decay, etc. We provide a controlled study of performance vs. compute… view at source ↗
Figure 3
Figure 3. Figure 3: Transfer to ImageNet. While large ViT models perform worse than BiT ResNets (shaded area) when pre-trained on small datasets, they shine when pre-trained on larger datasets. Similarly, larger ViT variants overtake smaller ones as the dataset grows. 10 M 30 M 100 M 300 M Number of JFT pre-training samples 30 40 50 60 70 Linear 5-shot ImageNet Top1 [%] ViT-L/16 ViT-L/32 ViT-B/32 ViT-b/32 ResNet50x1 (BiT) Res… view at source ↗
Figure 5
Figure 5. Figure 5: Performance versus pre-training compute for different architectures: Vision Transformers, [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Representative ex￾amples of attention from the output token to the input space. See Appendix D.7 for details. To begin to understand how the Vision Transformer processes im￾age data, we analyze its internal representations. The first layer of the Vision Transformer linearly projects the flattened patches into a lower-dimensional space (Eq. 1) [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Left: Filters of the initial linear embedding of RGB values of ViT-L/32. Center: Sim￾ilarity of position embeddings of ViT-L/32. Tiles show the cosine similarity between the position embedding of the patch with the indicated row and column and the position embeddings of all other patches. Right: Size of attended area by head and network depth. Each dot shows the mean attention distance across images for on… view at source ↗
Figure 8
Figure 8. Figure 8: Scaling different model dimensions of the Vision Transformer. [PITH_FULL_IMAGE:figures/full_fig_p016_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Comparison of class-token and global average pooling classifiers. Both work similarly [PITH_FULL_IMAGE:figures/full_fig_p017_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Position embeddings of models trained with different hyperparameters. [PITH_FULL_IMAGE:figures/full_fig_p018_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Size of attended area by head and network depth. Attention distance was computed for [PITH_FULL_IMAGE:figures/full_fig_p018_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: (left) shows how many images one core can handle per second, across various input sizes. Every single point refers to the peak performance measured across a wide range of batch-sizes. As can be seen, the theoretical bi-quadratic scaling of ViT with image size only barely starts happening for the largest models at the largest resolutions. Another quantity of interest is the largest batch-size each model ca… view at source ↗
Figure 13
Figure 13. Figure 13: Performance of Axial-Attention based models, in terms of top-1 accuracy on ImageNet [PITH_FULL_IMAGE:figures/full_fig_p020_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: Further example attention maps as in Figure 6 (random selection). [PITH_FULL_IMAGE:figures/full_fig_p021_14.png] view at source ↗
read the original abstract

While the Transformer architecture has become the de-facto standard for natural language processing tasks, its applications to computer vision remain limited. In vision, attention is either applied in conjunction with convolutional networks, or used to replace certain components of convolutional networks while keeping their overall structure in place. We show 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. When pre-trained on large amounts of data and transferred to multiple mid-sized or small image recognition benchmarks (ImageNet, CIFAR-100, VTAB, etc.), Vision Transformer (ViT) attains excellent results compared to state-of-the-art convolutional networks while requiring substantially fewer computational resources to train.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 3 minor

Summary. The manuscript introduces Vision Transformer (ViT), a pure transformer model that tokenizes images into fixed-size patches (typically 16x16), linearly embeds them, and processes the sequence with standard transformer layers. When pre-trained on large-scale datasets such as JFT-300M and fine-tuned on ImageNet, CIFAR-100, VTAB and other benchmarks, ViT variants (Base, Large, Huge) match or exceed the accuracy of state-of-the-art CNNs while using substantially less training compute.

Significance. If the reported transfer results hold, the work is significant because it provides direct empirical evidence that convolutional inductive biases are not required for competitive image classification once sufficient pre-training data and model capacity are available. The systematic scaling experiments across model sizes and the comparison against BiT/ResNet baselines on public benchmarks constitute a clear falsifiable demonstration that patch-based tokenization plus self-attention can substitute for CNNs at scale.

minor comments (3)
  1. [§3.1] §3.1: the linear patch embedding is described only in prose; an explicit matrix equation showing the projection from flattened patch to D-dimensional token would improve reproducibility.
  2. [Figure 3, Table 2] Figure 3 and Table 2: the pre-training compute axis is reported in TPUv3-days; adding a second panel or column with FLOPs per image would make the efficiency claim easier to compare across hardware.
  3. [§4.2] §4.2: the statement that ViT requires 'substantially fewer computational resources' is supported by the JFT-300M numbers but would be strengthened by an explicit wall-clock or energy comparison on the same hardware as the BiT baselines.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of the Vision Transformer manuscript and the recommendation to accept.

Circularity Check

0 steps flagged

No circularity: empirical results on public benchmarks

full rationale

The paper's central claim is an empirical demonstration that a pure transformer on image patches, pre-trained at scale, matches CNN performance on standard classification tasks after transfer. This is validated directly via experiments (ViT variants pre-trained on JFT-300M, fine-tuned on ImageNet/CIFAR-100/VTAB) with ablations and baselines; no derivation chain, equations, or fitted parameters reduce to the evaluation data by construction. The premise that CNN inductive biases are unnecessary is tested rather than smuggled in via self-definition or self-citation. The work is self-contained against external benchmarks with no load-bearing self-referential steps.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 1 invented entities

The claim rests on the standard transformer self-attention definition from prior literature plus the modeling choice of fixed-size patch tokenization; no new physical or mathematical axioms are introduced.

free parameters (2)
  • patch size
    16x16 chosen as the tokenization granularity; affects sequence length and local information retention.
  • model scale (base/large/huge)
    Number of layers, hidden size, and heads are selected hyperparameters that determine capacity.
axioms (1)
  • standard math Self-attention and positional encoding as defined in the original Transformer paper
    The architecture is imported wholesale from Vaswani et al. without modification to the core mechanism.
invented entities (1)
  • Linear patch embedding no independent evidence
    purpose: Projects flattened image patches into the transformer token space
    New input representation required to feed images into the sequence model; no independent evidence outside the empirical results is provided.

pith-pipeline@v0.9.0 · 5708 in / 1372 out tokens · 33974 ms · 2026-05-24T14:20:39.704214+00:00 · methodology

discussion (0)

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    All models are trained with a batch size of 4096 and learn- ing rate warmup of 10k steps

    12 Published as a conference paper at ICLR 2021 Models Dataset Epochs Base LR LR decay Weight decay Dropout ViT-B/{16,32} JFT-300M 7 8· 10−4 linear 0.1 0.0 ViT-L/32 JFT-300M 7 6· 10−4 linear 0.1 0.0 ViT-L/16 JFT-300M 7/14 4· 10−4 linear 0.1 0.0 ViT-H/14 JFT-300M 14 3· 10−4 linear 0.1 0.0 R50x{1,2} JFT-300M 7 10−3 linear 0.1 0.0 R101x1 JFT-300M 7 8· 10−4 l...

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    (2017)) is a popular building block for neural archi- tectures

    APPENDIX A M ULTIHEAD SELF -ATTENTION Standard qkv self-attention (SA, Vaswani et al. (2017)) is a popular building block for neural archi- tectures. For each element in an input sequence z∈ RN×D, we compute a weighted sum over all values v in the sequence. The attention weights Aij are based on the pairwise similarity between two elements of the sequence...

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    For final results we train on the entire training set and evaluate on the respective test data

    To do so, we use small sub-splits from the training set (10% for Pets and Flowers, 2% for CIFAR, 1% ImageNet) as development set and train on the remaining data. For final results we train on the entire training set and evaluate on the respective test data. For fine-tuning ResNets and hybrid models we use the exact same setup, with the only exception of Ima...

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    (2020) and select the best results across this run and our sweep

    for ResNets we also run the setup of Kolesnikov et al. (2020) and select the best results across this run and our sweep. Finally, if not mentioned otherwise, all fine-tuning experiments run at 384 resolution (running fine-tuning at different resolution than training is common practice (Kolesnikov et al., 2020)). When transferring ViT models to another datas...

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    B.1.2 S ELF -SUPERVISION We employ the masked patch prediction objective for preliminary self-supervision experiments

    for all tasks. B.1.2 S ELF -SUPERVISION We employ the masked patch prediction objective for preliminary self-supervision experiments. To do so we corrupt 50% of patch embeddings by either replacing their embeddings with a learnable [mask] embedding (80%), a random other patch embedding (10%) or just keeping them as is (10%). This setup is very similar to ...

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    We also experimented with 15% corruption rate as used by Devlin et al

    because it has shown best few-shot performance. We also experimented with 15% corruption rate as used by Devlin et al. (2019) but results were also slightly worse on our few-shot metrics. Lastly, we would like to remark that our instantiation of masked patch prediction doesn’t require such an enormous amount of pretraining nor a large dataset such as JFT ...

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    These correspond to Figure 5 in the main paper

    Epochs ImageNet ImageNet ReaL CIFAR-10 CIFAR-100 Pets Flowers exaFLOPs name ViT-B/32 7 80.73 86.27 98.61 90.49 93.40 99.27 55 ViT-B/16 7 84.15 88.85 99.00 91.87 95.80 99.56 224 ViT-L/32 7 84.37 88.28 99.19 92.52 95.83 99.45 196 ViT-L/16 7 86.30 89.43 99.38 93.46 96.81 99.66 783 ViT-L/16 14 87.12 89.99 99.38 94.04 97.11 99.56 1567 ViT-H/14 14 88.08 90.36 9...

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    This justifies the choice of Adam as the optimizer used to pre-train ResNets on JFT

    Adam pre-training outperforms SGD pre-training on most datasets and on average. This justifies the choice of Adam as the optimizer used to pre-train ResNets on JFT. Note that the absolute numbers are lower than those reported by Kolesnikov et al. (2020), since we pre-train only for 7 epochs, not

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    Figure 8 shows 5-shot performance on ImageNet for different configurations

    D.2 T RANSFORMER SHAPE We ran ablations on scaling different dimensions of the Transformer architecture to find out which are best suited for scaling to very large models. Figure 8 shows 5-shot performance on ImageNet for different configurations. All configurations are based on a ViT model with8 layers,D = 1024, DM LP = 2048 and a patch size of 32, the inte...

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    We tried the following cases: • Providing no positional information: Considering the inputs as a bag of patches

    D.4 P OSITIONAL EMBEDDING We ran ablations on different ways of encoding spatial information using positional embedding. We tried the following cases: • Providing no positional information: Considering the inputs as a bag of patches. • 1-dimensional positional embedding: Considering the inputs as a sequence of patches in the raster order (default across a...

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    attention distance

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