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Coralia Cartis

Prof. Coralia Cartis

PhD Mathematics, University of Cambridge (2005)
Status
Academic Faculty

Professor in Numerical Optimization, Mathematical Institute

Tutorial Fellow in Mathematics, Balliol College

Contact form
http://people.maths.ox.ac.uk/cartis
+44 1865 273526
ORCID iD
https://orcid.org/0000-0002-0963-5550
Research groups
  • Numerical Analysis
  • Data Science

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent publications
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)
Does model calibration reduce uncertainty in climate projections?
Cartis, C Journal of Climate volume 35 issue 8 2585-2602 (13 Jan 2022)
A dimensionality reduction technique for unconstrained global optimization of functions with low effective dimensionality
Cartis, C Otemissov, A Information and Inference: a Journal of the IMA volume 11 issue 1 167-201 (19 May 2021)
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.
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