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math.OC2026
Non-Euclidean Gradient Descent Has Many Edges of Stability
Peter Zaika, Zakhar Shumaylov
Recent observations that deep learning models train at the edge of stability have renewed interest in understanding stability properties of classical optimization algorithms. For q…
math.OC2024★ 1 cited
Weakly Convex Regularisers for Inverse Problems: Convergence of Critical Points and Primal-Dual Optimisation
Zakhar Shumaylov, Jeremy Budd, Subhadip Mukherjee +1
Variational regularisation is the primary method for solving inverse problems, and recently there has been considerable work leveraging deeply learned regularisation for enhanced p…