SystemDesign

The explosion of Generative AI and Large Language Models (LLMs) has transformed vector search from a niche information retrieval technique into a foundational pillar of the modern data stack. Whether you are building a Retrieval-Augmented Generation (RAG) system, a recommendation engine, or a multi-modal image search tool, the ability to perform efficient similarity searches across billions of high-dimensional vectors is critical. In this deep dive, we will explore the architectural blueprint of high-performance vector search engines, moving from mathematical foundations to the complexities of production-grade infrastructure. ...

The Union-Find data structure (also known as Disjoint Set Union or DSU) is a powerful tool for managing dynamic connectivity in sets of elements. It efficiently handles two core operations: union (merging sets) and find (determining if elements belong to the same set). This article dives deep into multiple Union-Find implementations in Python, their optimizations, performance characteristics, and critical applications in system design.[1][2][4] Whether you’re preparing for coding interviews, competitive programming, or designing scalable distributed systems, understanding Union-Find variants will give you a significant edge. ...