AI by Hand ✍️

AI by Hand ✍️

Sora's Diffusion Transformer (DiT) by Hand ✍️

Calculating AI by Hand: 26 of 28

Prof. Tom Yeh's avatar
Prof. Tom Yeh
Feb 19, 2024
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Library › Calculating AI by Hand ✍️

  1. Matrix Multiplication by Hand ✍️

  2. Multi Layer Perceptron (MLP) by Hand ✍️

  3. Backpropagation by Hand ✍️

  4. SVM by Hand ✍️

  5. Batch Normalization by Hand ✍️

  6. Dropout by Hand ✍️

  7. Recurrent Neural Network (RNN) by Hand ✍️

  8. LSTM by Hand ✍️

  9. Deep RNN by Hand ✍️

  10. Self Attention by Hand ✍️

  11. Transformer by Hand ✍️

  12. Autoencoder by Hand ✍️

  13. Variational Auto Encoder (VAE) by Hand ✍️

  14. Sparse Auto Encoder (SAE) by Hand ✍️

  15. Generative Adversarial Network (GAN) by Hand ✍️

  16. Sampling a Sentence by Hand ✍️

  17. Residual Network by Hand ✍️

  18. U-Net by Hand ✍️

  19. Discrete Fourier Transform by Hand ✍️

  20. Graph Convolutional Network (GCN) by Hand ✍️

  21. CLIP by Hand ✍️

  22. Vector Database by Hand ✍️

  23. Mixture of Experts (MoE) by Hand ✍️

  24. Switch Transformer by Hand ✍️

  25. Mamba's S6 by Hand ✍️

  26. Sora's Diffusion Transformer (DiT) by Hand ✍️

  27. BitNet by Hand ✍️

  28. Reinforcement Learning with Human Feedback (RLHF) by Hand ✍️

Sora, OpenAI's text-to-video model, is built on the Diffusion Transformer (DiT), developed by William Peebles and Saining Xie in 2023.

How does DiT work?

Goal: Generate a video conditioned by a text prompt and a series of diffusion steps

Setup

Step 1 of 14: Given

  • Video

  • Prompt: "sora is sky"

  • Diffusion step: t = 3


Step 2 of 14: Video → Patches

  • Divide all pixels in all frames into 4 spacetime patches


Step 3 of 14: Visual Encoder

  • Multiply the patches with weights and biases, followed by ReLU

  • The result is a latent feature vector per patch

  • The purpose is dimension reduction from 4 (2x2x1) to 2 (2x1).

  • In the paper, the reduction is 196,608 (256x256x3)→ 4096 (32x32x4)

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