Data Lab
A personal research repository implementing numerical algorithms, classical AI search, RAG vector retrieval, and data architecture patterns from scratch.
Personal Research & Proof of Work · Deep Fundamentals
01. Introduction
Core Objectives
Data Lab is a single-developer learning repository designed to master data engineering fundamentals from first principles. Rather than relying on high-level wrappers, it implements numerical solvers, graph search algorithms, vector embeddings, and database blueprints directly in Python.
02. Tech Stack
Engine & Tools
03. Background
Why This Exists
Solid engineering requires understanding how algorithms operate under the hood. Data Lab houses custom implementations of numerical solvers, classical AI search (BFS, DFS, A*), RAG vector indexing, and analytical DuckDB/PostgreSQL architectures.
From Matrix Solvers to Optimization
Implements linear algebra algorithms, root finding, and numerical stability checks with unit test coverage, ensuring deep comprehension of data transformation mechanics.
Analytical Data Patterns with DuckDB
Translates core algorithms into analytical processing patterns and fast in-memory query pipelines using DuckDB and PostgreSQL.
Knowledge Pipeline
From Fundamental Numerics to Analytics Blueprints
Progressive engineering depth: low-level numerical solvers expanding into vector search and analytical DuckDB queries.
01. Numerical Algorithms
Linear systems, root finding, optimization & error analysis
02. Classical AI & Graph Search
BFS, DFS, A* heuristics & graph data structures
03. Vector Retrieval & RAG
Embeddings, vector indexing & semantic search
04. Analytical Pipeline Blueprints
DuckDB & PostgreSQL query architecture patterns
Roadmap & Direction
Zukunftsperspektiven & Forschungsschwerpunkte
Forschungsschwerpunkt 1: Numerik
Core numerical algorithms, linear system solvers, and classical AI graph search implementation.
Forschungsschwerpunkt 2: Vektorsuche
Lightweight vector indexing experiments, embedding storage, and RAG pipelines.
Forschungsschwerpunkt 3: DuckDB Pipelines
High-performance analytical pipeline templates with DuckDB & PostgreSQL.