• Homework 1, Due 04/15, 5pm.
• Homework 2, Due 05/10, 5pm.

Continuous-depth neural networks

• Neural ODE
• Continuous depth flow models

Diffusion models:

• Stochastic differential equations and Itô calculus
• Fokker–Planck equation and reverse-time diffusion
• Diffusion generative models via stochastic differential equations
• Score matching and discrete-time diffusion models
• Conditional generation
• Latent diffusion model
• DALLE 2, Imagen, Stable Diffusion
• Consistency trajectory models
• Note: Mathematical rigor will not be a priority for this course. For diffusion models, however, we will carry out calculations and derivations with stochastic differential equations.

Natural language processing background:

• Sequence models and text preprocessing
• Recurrent neural networks, GRU, and LSTM
• Bidirectional RNN
• Encoder-decoder architecture and machine translation
• Bahdanau attention
• Multi-head attention and transformers

Large language models:

• Instruction finetuning
• Reinforcement leaning with human feedback
• BERT, T5, GPT
• Scaling laws
• In-context learning
• Chain of thought prompting
• Codex
• Parameter-efficient fine tuning (LoRA)
• Hardware-aware models: FlashAttention, QLoRA
• Training data curation and small language models: phi-X

Self-supervised learning:

Vision language models:

• Vision transformer
• CLIP
• BLiP, Flamingo, LLaVA

State-space models:

• Background: orthogonal polynomials, matrix exponential, linear state-space models
• Continuous-time recurrent memory unit
• Background: fast Fourier transform, Woodbury matrix identity
• Structured state-space model
• Background: prefix sum, kernel fusion
• Mamba

• Final exam: Wednesday, 06/26, 9:00am–1:00pm, location TBD.