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Convergence of adaptive algorithms for constrained weakly convex optimization

Volkan Cevher, Ahmet Alacaoglu, Yurii Malitskyi

We analyze the adaptive first order algorithm AMSGrad, for solving a constrained stochastic optimization problem with a weakly convex objective. We prove the

\tilde O(t^{-1/2})

rate of convergence for the squared norm of the gradient of Moreau envelope, ...

2021

Stochastique

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Key factors determining the presence of Tree-related Microhabitats: A synthesis of potential factors at site, stand and tree scales, with perspectives for further research

Dynamic Monte Carlo reactor modeling of calcium looping with sorbent purge and utilization decay

On the numerical simulation of a confined cavitating tip leakage vortex under geometrical and operational uncertainties

Implicit Bias of SGD for Diagonal Linear Networks: a Provable Benefit of Stochasticity

A Planner-Trader Decomposition for Multi-Market Hydro Scheduling

Simulated Half-Fourier Acquisitions Single-shot Turbo Spin Echo (HASTE) of the Fetal Brain: Application to Super-Resolution Reconstruction

Gramian-Based Adaptive Combination Policies For Diffusion Learning Over Networks

Supersymmetries in nonequilibrium Langevin dynamics

Convergence of adaptive algorithms for constrained weakly convex optimization

Theory of kink migration in dilute BCC alloys

Key factors determining the presence of Tree-related Microhabitats: A synthesis of potential factors at site, stand and tree scales, with perspectives for further research

Gramian-Based Adaptive Combination Policies For Diffusion Learning Over Networks

On the numerical simulation of a confined cavitating tip leakage vortex under geometrical and operational uncertainties

A Planner-Trader Decomposition for Multi-Market Hydro Scheduling

Simulated Half-Fourier Acquisitions Single-shot Turbo Spin Echo (HASTE) of the Fetal Brain: Application to Super-Resolution Reconstruction

Implicit Bias of SGD for Diagonal Linear Networks: a Provable Benefit of Stochasticity

Supersymmetries in nonequilibrium Langevin dynamics

Dynamic Monte Carlo reactor modeling of calcium looping with sorbent purge and utilization decay

Theory of kink migration in dilute BCC alloys

Convergence of adaptive algorithms for constrained weakly convex optimization