4 problems
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Non-equivalence conjecture for critical point regularization and Tikhonov regularization
The proposed regularization is based on -critical points of the Tikhonov functional … Here , is the additional term used in the critical-point constructio…
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Nesterov's conjecture on adapted Tikhonov regularization and gradient smallness
An optimization method evolves according to a dynamical system or algorithm for minimizing a function, and an adapted Tikhonov regularization term is a regularization term chosen i…
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Maximality conjecture for Besov smoothness under Tikhonov regularization
Let denote the Besov space of smoothness , and consider Tikhonov regularization with Besov norm penalties for . The rate under consideration is…
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Strong convergence of AVD trajectories to the minimum-norm minimizer
Minimum-norm convergence conjecture. Every orbit of $$ converges strongly to the unique element of having minimal norm.