3 papers
math.OC2026
Weakly Quasar-Convex Optimization
Abbas Khademi, Felipe Lara
This paper introduces the class of weakly quasar-convex functions, a notion that simultaneously generalizes weak convexity (and hence convexity) and quasar-convexity. We establish…
math.OC2026
Boosted Stochastic Frank-Wolfe for Constrained Nonconvex Optimization
Navil Nandhan, Abbas Khademi, Antonio Silveti-Falls
The boosted Frank-Wolfe algorithm accelerates the classical Frank-Wolfe algorithm by better aligning the update direction with the negative gradient. Its analysis, however, has bee…
math.OC2025
Adaptive Conditional Gradient Descent
Abbas Khademi, Antonio Silveti-Falls
Selecting an effective step-size is a fundamental challenge in first-order optimization, especially for problems with non-Euclidean geometries. This paper presents a novel adaptive…