AI Disproves the Benjamini–Hochberg Conjecture

AI Disproves the Benjamini–Hochberg Conjecture

July 16, 2026 · 6 min

About this episode

This episode discusses a mathematical breakthrough that disproves the Benjamini-Hochberg conjecture using AI.

The false discovery rate (FDR) is a statistical framework designed to manage the proportion of incorrect "discoveries" when conducting multiple hypothesis tests simultaneously. Historically, researchers relied on the Benjamini-Hochberg (BH) procedure, which was widely believed to guarantee that the rate of false positives remained below a target threshold across all scenarios. However, a recent mathematical breakthrough by Edgar Dobriban utilizes an AI-assisted proof to demonstrate that this ...

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Host: Mike Breault

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Organizations: Benjamini-Hochberg

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