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A counterexample to the ``majority is least stable" conjecture

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cs.CC 1

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2026 1

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When Majority Fails: Tight Bounds for Correlation Distillation Conjectures

cs.CC · 2026-04-08 · unverdicted · novelty 7.0

Nearly tight bounds characterize the noise regimes where the Majority is Least Stable and Non-Interactive Correlation Distillation conjectures hold for Boolean functions of dimension n≥5, with full validity for n=3, plus refined conjecture versions.

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  • When Majority Fails: Tight Bounds for Correlation Distillation Conjectures cs.CC · 2026-04-08 · unverdicted · none · ref 12

    Nearly tight bounds characterize the noise regimes where the Majority is Least Stable and Non-Interactive Correlation Distillation conjectures hold for Boolean functions of dimension n≥5, with full validity for n=3, plus refined conjecture versions.