3 papers
math.OC2026
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)…
cs.LG2026
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…
cs.LG2026
Fisher Width: A Geometric Measure of Complexity on Statistical Manifolds
Vu Khac Ky
Gaussian width is a central geometric complexity measure in high-dimensional probability, compressed sensing, convex optimization, and learning theory. It quantifies the average ex…