Database - Syntax, Semantics, and Segfaults (Page 2)

Thoughts

Progressive and Adaptive Hyperparameter Estimation in BM25 Probability Transformation: A Unified Approach

1. Introduction The transformation of BM25 similarity scores into probability estimates represents a critical challenge in information retrieval systems. This process is essential for creating interpretable search results and enabling integration with probabilistic frameworks. While supervised learning approaches using query-document relevance pairs typically yield optimal results, practical implementations often face

Thoughts

Beyond Softmax: Probabilistic Foundations and Bayesian Frameworks in Hybrid Search

Introduction In our previous exploration of probability transformations in vector search, we examined how softmax enables the normalization of disparate scoring systems into comparable probabilistic frameworks. This follow-up article delves deeper into the mathematical theory underpinning these transformations, with a specific focus on Bayesian probabilistic frameworks and their application to

Database

Using Softmax for Probability Transformation in Vector Search

Introduction Modern search systems often combine vector search (dense embedding retrieval) with traditional text search (BM25/TF-IDF) to improve result relevance. This is known as hybrid search, which leverages both semantic similarity and exact keyword matching. In practice, hybrid approaches have shown significant improvements in search quality across various domains