5 citations · 8 across the 9 of their papers we have counts for
14 papers
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…
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…
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…
Loss-Parameterized Fisher Width Along Learning Trajectories
Vu Khac Ky
Fisher width measures the Gaussian width of a probe set after deformation by the local Fisher geometry. We study its evolution along learning trajectories and ask when training los…
Curvature Residual Geometry in Bregman Regression
Vu Khac Ky
We consider linear regression models fitted by minimizing Bregman losses of the form \[ \frac{1}{n}\sum_{i=1}^n \left[ ϕ(y_i)-ϕ(x_i^\topθ) -ϕ'(x_i^\topθ) \bigl(y_i-x_i^\topθ\bigr)…
Fisher Widths: Local Learning Geometry and Anisotropic Recovery
Vu Khac Ky
We study Gaussian-width complexity on statistical manifolds through a pair of functionals: the primal Fisher width , induced by the Fisher metric, and the inv…