A generalized zeroth-order method samples random directions on the sphere to optimize quotients of quadratics, estimates Riemannian derivatives with surrogates, and yields an accelerated algorithm outperforming prior work.
Signori, Optimal distributed control of an extended model o f tumor growth with logarithmic potential, Appl
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
verdicts
UNVERDICTED 3roles
background 1polarities
background 1representative citing papers
Comparison of objective functions for stabilizing the Vlasov-Poisson system shows that time-integrated metrics produce more convex optimization landscapes favorable to gradient-based methods.
Establishes Fréchet differentiability of the control-to-state map, adjoint solvability, and first-order optimality conditions for distributed control of a fractional tumor growth system.
citing papers explorer
-
Generalization of Zeroth-Order Method for Quotients of Quadratic Functions
A generalized zeroth-order method samples random directions on the sphere to optimize quotients of quadratics, estimates Riemannian derivatives with surrogates, and yields an accelerated algorithm outperforming prior work.
-
What metric to optimize for suppressing instability in a Vlasov-Poisson system?
Comparison of objective functions for stabilizing the Vlasov-Poisson system shows that time-integrated metrics produce more convex optimization landscapes favorable to gradient-based methods.
-
A distributed control problem for a fractional tumor growth model
Establishes Fréchet differentiability of the control-to-state map, adjoint solvability, and first-order optimality conditions for distributed control of a fractional tumor growth system.