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Hassan Mortagy

2 accepted papers

2021

Reusing Combinatorial Structure: Faster Iterative Projections over Submodular Base Polytopes

NeurIPS 2021poster

Optimization algorithms such as projected Newton's method, FISTA, mirror descent and its variants enjoy near-optimal regret bounds and convergence rates, but suffer from a computational bottleneck of computing ``projections" in potentially each iteration (e.g., $O(T^{1/2})$ regret of online mirror…

2020

Walking in the Shadow: A New Perspective on Descent Directions for Constrained Minimization

NeurIPS 2020poster

Descent directions such as movement towards Frank-Wolfe vertices, away steps, in-face away steps and pairwise directions have been an important design consideration in conditional gradient descent (CGD) variants. In this work, we attempt to demystify the impact of movement in these directions toward…