An inexact projected-gradient framework for GWOT with a verifiable feasibility-residual condition that proves subsequential and full-sequence convergence to stationary points under a mild tolerance decay.
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Proposes ripALM, a relative inexact proximal ALM using one tolerance parameter, with new convergence analysis showing global and asymptotic linear rates without correction steps.
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A Provably Convergent and Practical Algorithm for Gromov--Wasserstein Optimal Transport
An inexact projected-gradient framework for GWOT with a verifiable feasibility-residual condition that proves subsequential and full-sequence convergence to stationary points under a mild tolerance decay.
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ripALM: A Relative-Type Inexact Proximal Augmented Lagrangian Method for Linearly Constrained Convex Optimization
Proposes ripALM, a relative inexact proximal ALM using one tolerance parameter, with new convergence analysis showing global and asymptotic linear rates without correction steps.