Prof. Coralia Cartis
PhD Mathematics, University of Cambridge (2005)
Status
Academic Faculty
Professor in Numerical Optimization, Mathematical Institute
Tutorial Fellow in Mathematics, Balliol College
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent publications
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542, (S1063520322000859), (10.1016/j.acha.2022.11.001)]
Goyens, F Cartis, C Eftekhari, A Applied and Computational Harmonic Analysis volume 63 93- (01 Mar 2023) Nonlinear matrix recovery using optimization on the Grassmann manifold
Goyens, F Cartis, C Eftekhari, A Applied and Computational Harmonic Analysis volume 62 498-542 (01 Jan 2023) Scalable subspace methods for derivative-free nonlinear least-squares optimization
Cartis, C Roberts, L MATHEMATICAL PROGRAMMING (09 Jun 2022) Bound-constrained global optimization of functions with low effective dimensionality using multiple random embeddings
Cartis, C Massart, E Otemissov, A MATHEMATICAL PROGRAMMING (14 May 2022) A derivative-free optimisation method for global ocean biogeochemical models
Oliver, S Cartis, C Kriest, I Tett, S Khatiwala, S Geoscientific Model Development volume 15 issue 9 3537-3554 (05 May 2022) Research interests
Algorithm design, analysis and implementation for linear and nonlinear optimization, convex and nonconvex problems, large-scale
- Complexity of optimization problems and algorithms
- Interconnections between dynamical systems and continuous optimization
- Applications: compressed sensing and sparse approximation
- Applications: inverse problems in climate modelling
Prizes, awards, and scholarships
Leslie Fox Prize in Numerical Analysis 2005 (second place)
Major / recent publications
- C. Cartis and A. Thompson
An exact tree projection algorithm for wavelets
ERGO Technical Report 13-006, School of Mathematics, Edinburgh University, 2013.
To appear in IEEE Signal Processing Letters (2013) - S. F. B. Tett, M. J. Mineter, C. Cartis, D. J. Rowlands and P. Liu
Can top of atmosphere radiation measurements constrain climate predictions? Part 1: Tuning
To appear in Journal of Climate (2013) - S. F. B. Tett, D. J. Rowlands, M. J. Mineter and C. Cartis
Can top of atmosphere radiation measurements constrain climate predictions? Part 2: Climate Sensitivity
To appear in Journal of Climate (2013) - C. Cartis, N. I. M. Gould and Ph. L. Toint
On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear
least-squares problems and its relevance to constrained nonlinear optimization
SIAM Journal on Optimization, vol. 23(3):1553--1574, 2013. (doi: 10.1137/120869687)
- C. Cartis, N. I. M. Gould and Ph. L. Toint
How much patience do you have? A worst-case perspective on smooth nonconvex optimization
OPTIMA 88, 2012. (feature article of the Mathematical Optimization Society Newsletter) - C. Cartis, N. I. M. Gould and Ph. L. Toint.
On the complexity of finding first-order critical points in constrained nonlinear programming.
Mathematical Programming Series A, (DOI) 10.1007/s10107-012-0617-9 (Online First, 2012)
- C. Cartis, N. I. M. Gould and Ph. L. Toint
Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity
Mathematical Programming, vol. 130(2), pp. 295--319, 2011. - C. Cartis, N. I. M. Gould and Ph. L. Toint
Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results
Mathematical Programming, vol. 127(2), pp. 245--295, 2011.
- J. D. Blanchard, C. Cartis, J. Tanner and A. Thompson
Phase transitions for greedy sparse approximation algorithms
Applied and Computational Harmonic Analysis, vol. 30(2), pp. 188--203, 2011. - J. D. Blanchard, C. Cartis and J. Tanner
Compressed sensing: how sharp is the restricted isometry property?
SIAM Review, vol. 53(1), pp. 105--125, 2011.