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An editorial blog by Chen Kai

Long-form notes on machines, math, and the cloud.

A long-form notebook on machine learning, mathematics, and the cloud infrastructure that runs them.

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Featured · Product Thinking

Product Thinking (5): Abstraction Thinking — From Math to Systems

How a math background shapes engineering decisions — from group theory to FSMs, from proof structure to API design, and why 700 articles is an abstraction engine.

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Chen Kai · 90 min read
The data

Five years of writing,
visualized

Writing analytics dashboard
Under the hood

Signals flowing between agents, models, and the cloud

All series

Each series is a single argument unfolded chapter by chapter.

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Series 10

Claude Code Hands-On

Six-piece field guide to Claude Code — config, modes, slash commands, MCP, hooks, SDK + GitHub.

Series 12

LLM Engineering

End-to-end modern LLM stack: architectures, post-training, inference, RAG, evaluation, safety, and production.

Series 8

Terraform Agents

Deploying AI agents on Alibaba Cloud with Terraform — VPC, compute, storage, gateways, and monitoring.

Series 5

Product Thinking

The thinking, tradeoffs, and growth behind building real systems — architecture, security, UX, reliability, and abstraction.

Series 7

Aliyun Bailian

Bailian model platform: prompt engineering, fine-tuning, agents, and evaluation.

Series 12

Abstract Algebra

Groups, rings, fields, and Galois theory — the structural lens on mathematics.

Latest writing

Recent essays and deep dives, freshest first.

The complete archive →