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20172021
most citedImproved second-order evaluation complexity for unconstrained nonlinear optimization using high-order regularized models

17 citations · 27 across the 7 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.OC2018

Universal regularization methods - varying the power, the smoothness and the accuracy

Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint

Adaptive cubic regularization methods have emerged as a credible alternative to linesearch and trust-region for smooth nonconvex optimization, with optimal complexity amongst secon…

math.OC2018

Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints

Coralia Cartis, Nick I. M. Gould, Philippe L. Toint

We provide sharp worst-case evaluation complexity bounds for nonconvex minimization problems with general inexpensive constraints, i.e.\ problems where the cost of evaluating/enfor…