AI by Hand ✍️

AI by Hand ✍️

Batch Normalization by Hand ✍️

Calculating AI by Hand: 5 of 28

Prof. Tom Yeh's avatar
Prof. Tom Yeh
Jan 14, 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 ✍️

Batch normalization is a common practice to improve training and achieve faster convergence. It sounds simple. But it is often misunderstood.

🤔 Does batch normalization involve trainable parameters? tunable hyper-parameters? or both?

🤔 Is batch normalization applied to inputs, features, weights, biases, or outputs?

🤔 How is batch normalization different from layer normalization?

This hands-on exercise can help shed some light on these questions.

Forward Pass

Step 1 of 7: Given

  • A mini-batch of 4 training examples, each has 3 features.


Step 2 of 7: Linear Layer

  • Multiply with the weights and biases to obtain new features


Step 3 of 7: ReLU

  • Apply the ReLU activation function, which has the effect of suppressing negative values. In this exercise, -2 is set to 0.

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