Nonlinearly preconditioned gradient flows admit global solutions with sublinear or exponential convergence and are dual to mirror descent, solving an infinite-horizon optimal control problem whose value function is the Bregman divergence of the cost.
Dual space preconditioning for gradient descent,
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Nonlinearly preconditioned gradient flows
Nonlinearly preconditioned gradient flows admit global solutions with sublinear or exponential convergence and are dual to mirror descent, solving an infinite-horizon optimal control problem whose value function is the Bregman divergence of the cost.