A FISTA-style method with a new backtracking line search claims O(1/k^2) convergence for convex multiobjective optimization when the Lipschitz constant is unknown.
Fast first-order methods for composite convex optimization with backtracking[J]
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Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization
A FISTA-style method with a new backtracking line search claims O(1/k^2) convergence for convex multiobjective optimization when the Lipschitz constant is unknown.