AI by Hand ✍️

AI by Hand ✍️

Recurrent Neural Network (RNN) by Hand ✍️

Calculating AI by Hand: 7 of 28

Prof. Tom Yeh's avatar
Prof. Tom Yeh
Dec 18, 2023
∙ 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 ✍️

A Recurrent Neural Network (RNN) processes a sequence one token at a time, carrying hidden states forward from step to step. It contrasts with the Transformer (which processes all tokens in parallel) and is a prerequisite for understanding Mamba.

How does an RNN work?

Setup

Step 1 of 9: Given

  • Initialize the hidden states to [0, 0].

Process x1 (t=1)

Step 2 of 9: Hidden States

  • Linearly combine the first input x1 and the hidden states [0, 0] using weights A and B, then apply the ReLU activation, to obtain the new hidden states [3, 6].


Step 3 of 9: Output

  • Linearly combine the hidden states [3, 6] using weights C to obtain the first output y1.

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