Colin Tang

collaborators

4 papers

math.PR2026

Moments of sums of exponentials, beyond CHS

Silouanos Brazitikos, Colin Tang, Tomasz Tkocz

We establish a sharp lower bound on the $L_{p}$ -norm of sums of independent exponential random variables with fixed variance, for $p \geq 2$ , thus extending Hunter's positivity theor…

cs.DS2025

Adaptive Matrix Sparsification and Applications to Empirical Risk Minimization

Yang P. Liu, Richard Peng, Colin Tang +2

Consider the empirical risk minimization (ERM) problem, which is stated as follows. Let $K_{1}, \dots, K_{m}$ be compact convex sets with $K_{i} \subseteq R^{n_{i}}$ for $i \in [m…

math.PR2025

Khinchin inequalities for uniforms on spheres with a deficit

Jacek Jakimiuk, Colin Tang, Tomasz Tkocz

We sharpen the moment comparison inequalities with sharp constants for sums of random vectors uniform on Euclidean spheres, providing a deficit term (optimal in high dimensions).

math.MG2025

From simplex slicing to sharp reverse Hölder inequalities

James Melbourne, Michael Roysdon, Colin Tang +1

Simplex slicing (Webb, 1996) is a sharp upper bound on the volume of central hyperplane sections of the regular simplex. We extend this to sharp bounds in the probabilistic framewo…