1 citations · 1 across the 4 of their papers we have counts for
4 papers
On Convex Functions of Gaussian Variables
Maite Fernández-Unzueta, James Melbourne, Gerardo Palafox-Castillo
We investigate a convexity properties for normalized log moment generating function continuing a recent investigation of Chen of convex images of Gaussians. We show that any variab…
Anti-concentration inequalities for log-concave variables on the real line
Tulio Gaxiola, James Melbourne, Vincent Pigno +1
We prove sharp anti-concentration results for log-concave random variables on the real line in both the discrete and continuous setting. Our approach is elementary and uses majoriz…
Causal Structure Recovery of Linear Dynamical Systems: An FFT based Approach
Mishfad Shaikh Veedu, James Melbourne, Murti V. Salapaka
Learning causal effects from data is a fundamental and well-studied problem across science, especially when the cause-effect relationship is static in nature. However, causal effec…
Hyperbolic Measures on Infinite Dimensional Spaces
Sergey G. Bobkov, James Melbourne
Localization and dilation procedures are discussed for infinite dimensional -concave measures on abstract locally convex spaces (following Borell's hierarchy of hyperbolic measu…