Coralia Cartis
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Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results
C Cartis, NIM Gould, PL Toint
Mathematical Programming 127 (2), 245-295, 2011
3242011
Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function-and derivative-evaluation complexity
C Cartis, NIM Gould, PL Toint
Mathematical programming 130 (2), 295-319, 2011
2412011
On the complexity of steepest descent, Newton's and regularized Newton's methods for nonconvex unconstrained optimization problems
C Cartis, NIM Gould, PL Toint
Siam journal on optimization 20 (6), 2833-2852, 2010
2132010
Global rates of convergence for nonconvex optimization on manifolds
N Boumal, PA Absil, C Cartis
IMA Journal of Numerical Analysis 39 (1), 1-33, 2019
1852019
Compressed sensing: How sharp is the restricted isometry property
JD Blanchard, C Cartis, J Tanner
Arxiv preprint arXiv:1004.5026, 2010
1802010
Global convergence rate analysis of unconstrained optimization methods based on probabilistic models
C Cartis, K Scheinberg
Mathematical Programming 169 (2), 337-375, 2018
912018
Complexity bounds for second-order optimality in unconstrained optimization
C Cartis, NIM Gould, PL Toint
Journal of Complexity 28 (1), 93-108, 2012
902012
On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming
C Cartis, NIM Gould, PL Toint
SIAM Journal on Optimization 21 (4), 1721-1739, 2011
892011
Convergence rate analysis of a stochastic trust-region method via supermartingales
J Blanchet, C Cartis, M Menickelly, K Scheinberg
INFORMS journal on optimization 1 (2), 92-119, 2019
72*2019
An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity
C Cartis, NIM Gould, PL Toint
IMA Journal of Numerical Analysis 32 (4), 1662-1695, 2012
722012
Phase transitions for greedy sparse approximation algorithms
JD Blanchard, C Cartis, J Tanner, A Thompson
Applied and Computational Harmonic Analysis 30 (2), 188-203, 2011
692011
Improving the flexibility and robustness of model-based derivative-free optimization solvers
C Cartis, J Fiala, B Marteau, L Roberts
ACM Transactions on Mathematical Software (TOMS) 45 (3), 1-41, 2019
612019
On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization
C Cartis, NIM Gould, PL Toint
SIAM Journal on Optimization 22 (1), 66-86, 2012
552012
On the complexity of finding first-order critical points in constrained nonlinear optimization
C Cartis, NIM Gould, PL Toint
Mathematical Programming 144 (1), 93-106, 2014
542014
On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization
C Cartis, NIM Gould, PL Toint
SIAM Journal on Optimization 23 (3), 1553-1574, 2013
512013
Toint. Adaptive cubic regularisation methods for unconstrained optimization. part ii: worst-case function-and derivative-evaluation complexity
C Cartis, NIM Gould, L Philippe
Mathematical programming 130 (2), 295-319, 2011
492011
Trust-region and other regularisations of linear least-squares problems
C Cartis, NIM Gould, PL Toint
BIT Numerical Mathematics 49 (1), 21-53, 2009
482009
Can top-of-atmosphere radiation measurements constrain climate predictions? Part I: Tuning
SFB Tett, MJ Mineter, C Cartis, DJ Rowlands, P Liu
Journal of Climate 26 (23), 9348-9366, 2013
41*2013
Convergence of a regularized Euclidean residual algorithm for nonlinear least-squares
S Bellavia, C Cartis, NIM Gould, B Morini, PL Toint
SIAM Journal on Numerical Analysis 48 (1), 1-29, 2010
412010
Universal regularization methods: varying the power, the smoothness and the accuracy
C Cartis, NI Gould, PL Toint
SIAM Journal on Optimization 29 (1), 595-615, 2019
392019
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