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cs.IT2026
The Hellinger Conjecture for Antipodal Boolean Functions
Vu Khac Ky
The balanced Hellinger conjecture compares the overlap of two output laws induced by a Boolean decision under binary symmetric noise. We prove that a single input coordinate minimi…
cs.IT2026
Stability of the Courtade-Kumar inequality
Vu Khac Ky, Tuan Tran
We prove dimension-independent stability for the Courtade-Kumar inequality: a Boolean function whose information is close to the dictator value is close i…
cs.IT2026
Dictators are most informative
Vu Khac Ky, Tuan Tran
We prove the Courtade-Kumar conjecture: among all Boolean functions , a dictator retains the most information about a uniformly random input observed…