AI / ML
BigCat's Learning Path
> AI · Agents · Machine Learning · four concepts a day
Day 1
LLM Basics
Transformer · Attention · Tokenization · Positional Encoding
Day 2
Pre-training & Fine-tuning
Pre-training · SFT · RLHF · DPO
Day 3
Prompt Engineering
Zero/Few-shot · CoT · ReAct · Self-Consistency
Day 4
RAG Systems
Embedding · Vector DB · Retrieval · Re-ranking
Day 5
Agent Architectures
ReAct · Plan-and-Execute · Reflexion · AutoGPT
Day 6
Tool Use
Function Calling · MCP · Tool Selection · Sandboxing
Day 7
Multi-Agent Systems
AutoGen · CrewAI · Role Specialization · Collaboration Protocols
Day 8
Context Engineering
Context Window · Prompt Caching · Compression · Memory
Day 9
Inference Optimization
KV Cache · Speculative Decoding · Continuous Batching · Quantization
Day 10
Loss & Optimization
Cross-Entropy · AdamW · LR Schedule · Gradient Clipping
Day 11
Tokenization Deep Dive
BPE · WordPiece · SentencePiece · UTF-8 Boundaries
Day 12
Attention Variants
MHA · GQA/MQA · Sliding Window · FlashAttention
Day 13
Positional Encoding Deep Dive
Sinusoidal · Learned · RoPE · ALiBi
Day 14
Scaling Laws
Power Law · Chinchilla · Emergent Abilities · Mirage Critique
Day 15
Evaluation & Benchmarks
MMLU · HumanEval/pass@k · MT-Bench · LLM-as-Judge
Day 16
Classic ML Algorithms
Linear/Logistic Reg · Decision Tree · Random Forest · SVM
Day 17
Deep Learning Foundations
Backprop · Gradient Descent · Activations · Regularization
Day 18
CNN & Vision
Convolution · ResNet · ViT · CLIP
Day 19
RNNs & Sequences
LSTM · GRU · Seq2Seq · Attention Origin
Day 20
Generative Models
GAN · VAE · Diffusion · Flow Matching
Day 21
Reinforcement Learning
Q-Learning · Policy Gradient · Actor-Critic · PPO
Day 22
Semantic Search
BM25 · Dense Retrieval · Hybrid Search · HNSW
Day 23
Multimodality
VLM · Audio LLM · Video Understanding · Embodied AI
Day 24
Encoder Models
BERT · RoBERTa · Sentence Transformers · ColBERT
Day 25
Training Infrastructure
Distributed Training · ZeRO · FSDP · Megatron-LM
Day 26
Alignment Math
RLHF · Reward Model · Constitutional AI · DPO
Day 27
Interpretability
Mechanistic Interp · Sparse Autoencoders · Feature Circuits · Probing
Day 28
Reasoning Models
Test-time Compute · CoT · Self-Verification · Best-of-N
Day 29
Data Engineering
Synthetic Data · Data Curation · Deduplication · Quality Filtering
Day 30
Representation & Embedding Geometry
Word Vector Linear Structure · Contrastive/InfoNCE · Anisotropy & Whitening · Matryoshka
Day 31
Model Compression
Knowledge Distillation · Pruning · LoRA/QLoRA · Quantization Math
Day 32
Activations & Normalization
ReLU/GELU/SwiGLU · BatchNorm/LayerNorm/RMSNorm
Day 33
Probability & Information Theory
Entropy · KL Divergence · Mutual Information · ELBO
Day 34
Frontier Architectures
MoE · State Space Models/S4 · Mamba · Long Context
Day 35
Time-Series Forecasting
ARIMA · Exponential Smoothing/Kalman · Prophet · Foundation Models/TimesFM
Day 36
Causal Inference
Causation vs Correlation · Potential Outcomes · Instrumental Variables · Difference-in-Differences
Day 37
Graph Machine Learning
Message Passing/GNN · GCN · GAT · Graph Embedding/node2vec
Day 38
Probabilistic Programming & Bayesian Deep Learning
MCMC · Variational Inference · Uncertainty Quantification · PyMC/Stan
Day 39
Meta-Learning & Few-Shot
Transfer Learning · MAML · Prototypical Networks · In-context Learning
Day 40
Federated & Privacy Learning
Federated Learning/FedAvg · Differential Privacy · Homomorphic Encryption · Secure MPC
Day 41
World Models & Embodied Intelligence
World Models/Dreamer · JEPA · Causal Representation Learning · Embodied AI/VLA
Day 42
Neuro-Symbolic
Neuro-Symbolic Integration · KG Embeddings/TransE · Differentiable Reasoning · Program Synthesis/DreamCoder
Day 43
The Geometry of Optimization
Loss Landscape/Flat Minima · Sharpness & Generalization/SAM · Second-Order/K-FAC/Shampoo · Lion/Sophia
Day 44
Anomalies in Training
Grokking/Delayed Generalization · Double Descent · Phase Transitions & Emergence · Is Emergence a Mirage?
Day 45
The Math of Decoding & Sampling
Greedy/Beam Search · Temperature/Top-p/Min-p · Contrastive Decoding · Speculative Decoding