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math.OC2026
Broximal Gradient Descent: A Projection-Free Sister of Projected Gradient Descent
Peter Richtárik, Kaja Gruntkowska, Hanmin Li
We propose Broximal Gradient Descent (BroxGD), a projection-free sister method to projected gradient descent for constrained optimization. Its forward--backward construction replac…
math.OC2026
Broximal Alignment for Global Non-Convex Optimization
Kaja Gruntkowska, Hanmin Li, Xun Qian +1
Most non-convex optimization theory is built around gradient dynamics, leaving global convergence largely unexplored. The dominant paradigm focuses on stationarity, certifying only…
math.OC2026
Stabilized Proximal Point Method via Trust Region Control
Hanmin Li, Kaja Gruntkowska, Peter Richtárik
The Proximal Point Method (PPM) (Rockafellar, 1976) is a fundamental tool for nonsmooth convex optimization. However, its convergence is not linear under general convexity in the a…