Why Sigmoid? The Mathematical Inevitability Behind Bayesian BM25
February 23, 2026
Sigmoid is not a design choice — it is a mathematical theorem. We show why the sigmoid function is the unique valid transform for converting BM25 scores to probabilities, completing Robertson's Probability Ranking Principle after 50 years.
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Momentarily Reconstructed Contexts: A New Approach to LLM Usage
December 15, 2024
We propose a new approach to LLM usage by momentarily reconstructing the context.