p-adic Valuation based Depth Transformation for Memory Efficient Trees

Key Points

• The aim is to explore how p-adic numbers can improve database storage efficiency.
• Applied p-adic valuation to transform the structure of data storage.
• Analyzed geometric properties of p-adic numbers for enhanced localized storage.
• Measured cache hit rate improvements before and after the transformation.
• Significant increase in cache hit rate observed after applying the depth transformation.
• Demonstrated improved localized storage efficiency, leading to better database performance.