AI by Hand ✍️

AI by Hand ✍️

Residual Network by Hand ✍️

Calculating AI by Hand: 17 of 28

Prof. Tom Yeh's avatar
Prof. Tom Yeh
Feb 15, 2024
∙ Paid

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 ✍️

ResNet, "Deep Residual Learning for Image Recognition" by Kaiming He (CVPR 2016), is among the most cited deep learning papers ever.

Why is it so important?

It found a simple solution to the exploding and diminishing gradient problems of deep networks, making thousands of layers possible.

How simple? An identity matrix.

Residual Block

Step 1 of 10: Given

  • A mini batch of 3 input vectors (3D)


Step 2 of 10: Linear Layer

  • Multiply the input with weights and bias

  • Apply ReLU (negatives → 0)

  • Obtain 3 feature vectors


Step 3 of 10: Concatenate

  • Stack (horizontally) an identity matrix and the weight and bias matrix of the 2nd layer

  • Stack (vertically) the input vectors and the feature vectors from the previous layer

  • Draw lines to visualize the links between rows (weights) and columns (features)

  • These links are the "Skip Connections"

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