Vision Transformers

Transformers, originally developed for NLP, have reshaped computer vision. The Vision Transformer (ViT) treats an image as a sequence of patches and processes them with standard self-attention, rivaling and often exceeding CNN performance on large-scale benchmarks.

Self-attention mechanism

The core of the transformer is the scaled dot-product attention operation:

\text{Attention}(Q, K, V) = \text{softmax}\!\left(\frac{QK^T}{\sqrt{d_k}}\right) V

where

Q

(queries),

K

(keys), and

V

(values) are linear projections of the input sequence. The

\sqrt{d_k}

scaling prevents dot products from growing large in magnitude and saturating the softmax. Multi-head attention runs

h

independent attention functions in parallel and concatenates the outputs:

\text{MultiHead}(Q,K,V) = \text{Concat}(\text{head}_1, \ldots, \text{head}_h) W^O

This lets the model jointly attend to information from different representation subspaces.

Transformer encoder block

Each encoder layer consists of:

Multi-head self-attention
Add & LayerNorm (residual connection)
Feed-forward network (two linear layers with GELU)
Add & LayerNorm

Vision Transformer (ViT)

ViT adapts the transformer encoder to images through three steps:

Patchify

Divide the

H \times W

image into non-overlapping patches of size

P \times P

. This produces

N = HW / P^2

patches. Standard ViT-B/16 uses

P=16

224 \times 224

images, giving

N = 196

patches.

Embed

Flatten each patch to a vector and project it linearly to dimension

D

. Prepend a learnable [CLS] token whose final representation is used for classification. Add positional embeddings (learned 1D or 2D) to preserve spatial information.

\mathbf{z}_0 = [\mathbf{x}_{\text{cls}}; \mathbf{x}_p^1 E; \mathbf{x}_p^2 E; \ldots; \mathbf{x}_p^N E] + \mathbf{E}_{\text{pos}}

Encode

Pass the token sequence through

L

transformer encoder layers. Classify using the [CLS] token output through an MLP head:

y = \text{MLP}(\mathbf{z}_L^0)

ViT requires large training datasets (JFT-300M, ImageNet-21k) to outperform CNNs. On smaller datasets, convolutional inductive biases (translation equivariance, locality) give CNNs an advantage. Hybrid models combine CNN feature extractors with transformer encoders.

ViT inference with HuggingFace

from transformers import ViTForImageClassification, ViTFeatureExtractor
import torch
from PIL import Image

feature_extractor = ViTFeatureExtractor.from_pretrained('google/vit-base-patch16-224')
model = ViTForImageClassification.from_pretrained('google/vit-base-patch16-224')

image = Image.open('image.jpg')
inputs = feature_extractor(images=image, return_tensors="pt")
outputs = model(**inputs)
logits = outputs.logits
predicted_class = logits.argmax(-1).item()
print(f"Predicted class: {model.config.id2label[predicted_class]}")

CLIP: contrastive image-text pretraining

CLIP (Contrastive Language-Image Pretraining, OpenAI 2021) trains an image encoder and a text encoder jointly on 400 million (image, text) pairs from the internet. The objective aligns matching pairs close together and pushes non-matching pairs apart in a shared embedding space.

Training objective

For a batch of

N

(image, text) pairs, CLIP maximizes the cosine similarity of the

N

correct pairs while minimizing similarity for the

N^2 - N

incorrect pairs:

\mathcal{L}_{\text{CLIP}} = -\frac{1}{2N} \sum_{i=1}^{N} \left[ \log \frac{e^{\mathbf{f}_i \cdot \mathbf{g}_i / \tau}}{\sum_j e^{\mathbf{f}_i \cdot \mathbf{g}_j / \tau}} + \log \frac{e^{\mathbf{f}_i \cdot \mathbf{g}_i / \tau}}{\sum_j e^{\mathbf{f}_j \cdot \mathbf{g}_i / \tau}} \right]

where

\mathbf{f}_i

and

\mathbf{g}_i

are the

\ell_2

-normalized image and text embeddings, and

\tau

is a learned temperature.

Zero-shot classification with CLIP

import clip
import torch
from PIL import Image

model, preprocess = clip.load("ViT-B/32")

image   = preprocess(Image.open("cat.jpg")).unsqueeze(0)
labels  = ["a photo of a cat", "a photo of a dog", "a photo of a bird"]
tokens  = clip.tokenize(labels)

with torch.no_grad():
    image_features = model.encode_image(image)
    text_features  = model.encode_text(tokens)
    logits, _      = model(image, tokens)
    probs          = logits.softmax(dim=-1)

for label, prob in zip(labels, probs[0]):
    print(f"{label}: {prob:.2%}")

Stable Diffusion

Stable Diffusion combines three components:

Component	Role
CLIP text encoder	Encodes the text prompt to a conditioning vector
UNet denoiser	Predicts noise at each diffusion step, conditioned on the text embedding
VAE decoder	Decodes the denoised latent to a full-resolution image

The conditioning is injected via cross-attention: the UNet queries attend to the text token sequence as keys and values.

HuggingFace Transformers for vision

The transformers library provides pretrained ViT, Swin Transformer, CLIP, and many other vision models with a unified API:

from transformers import AutoFeatureExtractor, AutoModelForImageClassification
import torch
from PIL import Image

# Works for ViT, Swin, BEiT, DeiT, ConvNeXT, etc.
extractor = AutoFeatureExtractor.from_pretrained('microsoft/swin-base-patch4-window7-224')
model     = AutoModelForImageClassification.from_pretrained('microsoft/swin-base-patch4-window7-224')

image  = Image.open('image.jpg')
inputs = extractor(images=image, return_tensors='pt')

with torch.no_grad():
    outputs = model(**inputs)

pred = outputs.logits.argmax(-1).item()
print(model.config.id2label[pred])

Resources

HuggingFace Transformers Notebook

Course notebook covering vision transformers with the HuggingFace ecosystem.

Exercise E10: Transformers

Hands-on transformer exercise using ViT and CLIP models.

Video: Transformers from Scratch

In-depth tutorial building transformers from scratch by Umar Jamil.

Diffusion Models Blog

Accessible introduction to diffusion models including DDPM and Stable Diffusion.

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Computational Geometry

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Ethics & AI

Resources

Self-attention mechanism

Transformer encoder block

Vision Transformer (ViT)

ViT inference with HuggingFace

CLIP: contrastive image-text pretraining

Training objective

Zero-shot classification with CLIP

Stable Diffusion

HuggingFace Transformers for vision

Resources

HuggingFace Transformers Notebook

Exercise E10: Transformers

Video: Transformers from Scratch

Diffusion Models Blog

​Self-attention mechanism

​Transformer encoder block

​Vision Transformer (ViT)

​ViT inference with HuggingFace

​CLIP: contrastive image-text pretraining

​Training objective

​Zero-shot classification with CLIP

​Stable Diffusion

​HuggingFace Transformers for vision

​Resources

HuggingFace Transformers Notebook

Exercise E10: Transformers

Video: Transformers from Scratch

Diffusion Models Blog

Self-attention mechanism

Transformer encoder block

Vision Transformer (ViT)

ViT inference with HuggingFace

CLIP: contrastive image-text pretraining

Training objective

Zero-shot classification with CLIP

Stable Diffusion

HuggingFace Transformers for vision

Resources