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.
Noise stability is computable and approximately low-dimensional
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When Majority Fails: Tight Bounds for Correlation Distillation Conjectures
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.