Escaping local minima with derivative-free methods: a numerical investigation
Cartis, C
Roberts, L
Sheridan-Methven, O
(29 Dec 2018)
doi:10.48550/arxiv.1812.11343
WORST-CASE EVALUATION COMPLEXITY AND OPTIMALITY OF SECOND-ORDER METHODS FOR NONCONVEX SMOOTH OPTIMIZATION
CARTIS, C
GOULD, N
TOINT, P
3711-3750
(12 May 2019)
doi:10.1142/9789813272880_0198
Strong Evaluation Complexity Bounds for Arbitrary-Order Optimization of Nonconvex Nonsmooth Composite Functions
Cartis, C
Gould, N
Toint, P
(29 Jan 2020)
doi:10.48550/arxiv.2001.10802
A dimensionality reduction technique for unconstrained global optimization of functions with low effective dimensionality
Cartis, C
Otemissov, A
(21 Mar 2020)
doi:10.48550/arxiv.2003.09673
Scalable Derivative-Free Optimization for Nonlinear Least-Squares Problems
Cartis, C
Ferguson, T
Roberts, L
(26 Jul 2020)
doi:10.48550/arxiv.2007.13243
Constrained global optimization of functions with low effective dimensionality using multiple random embeddings
Cartis, C
Massart, E
Otemissov, A
(22 Sep 2020)
doi:10.48550/arxiv.2009.10446
Strong Evaluation Complexity of An Inexact Trust-Region Algorithm for Arbitrary-Order Unconstrained Nonconvex Optimization
Cartis, C
Gould, N
Toint, P
(02 Nov 2020)
doi:10.48550/arxiv.2011.00854
Scalable Subspace Methods for Derivative-Free Nonlinear Least-Squares Optimization
Cartis, C
Roberts, L
(23 Feb 2021)
doi:10.48550/arxiv.2102.12016
Hashing embeddings of optimal dimension, with applications to linear least squares
Cartis, C
Fiala, J
Shao, Z
(25 May 2021)
doi:10.48550/arxiv.2105.11815
Convergent least-squares optimisation methods for variational data assimilation
Cartis, C
Kaouri, M
Lawless, A
Nichols, N
(26 Jul 2021)
doi:10.48550/arxiv.2107.12361