markov chains are simple but powerful.
they model systems where the next state depends on the current state.
not the whole past.
• states → possible conditions
• transitions → ways the system moves
• probabilities → uncertainty with structure
• memorylessness → only now matters
• steady state → long term behavior emerges
weather.
markets.
language.
biology.
robot navigation.
queues.
markov chains teach you a brutal systems lesson:
complex behavior can emerge from simple transition rules.
THIS IS KARPATHY'S OBSIDIAN VAULT, THE BRAIN BEHIND A MILLION-DOLLAR COMPANY.
But your vault looks so messed up with orphaned and dead notes.
I revived 5,000 dead notes with Claude in 20 mins.
Here's the exact 5 Claude prompt system: (copy-paste ready) 🧵👇
This is the best way to learn how LLMs work.
Interactive. 3D. Step-by-step.
Covers:
→ Embedding
→ Layer Norm
→ Self-Attention
→ MLP
→ Transformer layers
→ Softmax
→ Output
Stop reading papers. Start seeing.
Link in comments.
Save this immediately.
the anthropic claude for finance lecture is the best free hour in quant AI right now.
bookmark & watch today. It's the most valuable 1 hour in quant AI right now. Then read article below.
Claude Code can run entirely on your local GPU now.
Unsloth AI published the complete guide.
The setup itself is straightforward - llama.cpp serves Qwen3.5 or GLM-4.7-Flash, one environment variable redirects Claude Code to localhost.
But the guide is valuable because of what it explains beyond the setup:
Why local inference feels impossibly slow: Claude Code adds an attribution header that breaks KV caching. Every request recomputes the full context. The fix requires editing settings.json - export doesn't work.
Why Qwen3.5 outputs seem off: f16 KV cache degrades accuracy, and it's llama.cpp's default. Multiple reports confirm this. Use q8_0 or bf16 instead.
Why responses take forever: Thinking mode is great for reasoning but slow for agentic tasks. The guide shows how to disable it.
The proof it all works: Claude Code autonomously fine-tuning a model with Unsloth. Start to finish. No API dependency.
Fits on 24GB. RTX 4090, Mac unified memory.
BREAKING: AI can now build financial models like Goldman Sachs analysts (for free).
Here are 12 Claude prompts that replace $150K/year investment banking work (Save for later)