Coralia Cartis

Orcid: 0000-0002-0963-5550

According to our database1, Coralia Cartis authored at least 47 papers between 2009 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Registration of algebraic varieties using Riemannian optimization.
CoRR, 2024

2023
Global optimization using random embeddings.
Math. Program., July, 2023

Scalable subspace methods for derivative-free nonlinear least-squares optimization.
Math. Program., May, 2023

Bound-constrained global optimization of functions with low effective dimensionality using multiple random embeddings.
Math. Program., March, 2023

Optimization Challenges in Data Science - Special Issue Editorial.
EURO J. Comput. Optim., January, 2023

Cubic-quartic regularization models for solving polynomial subproblems in third-order tensor methods.
CoRR, 2023

Second-order methods for quartically-regularised cubic polynomials, with applications to high-order tensor methods.
CoRR, 2023

2022
A Randomised Subspace Gauss-Newton Method for Nonlinear Least-Squares.
CoRR, 2022

2021
Adaptive regularization with cubics on manifolds.
Math. Program., 2021

Nonlinear matrix recovery using optimization on the Grassmann manifold.
CoRR, 2021

Hashing embeddings of optimal dimension, with applications to linear least squares.
CoRR, 2021

2020
Sharp Worst-Case Evaluation Complexity Bounds for Arbitrary-Order Nonconvex Optimization with Inexpensive Constraints.
SIAM J. Optim., 2020

A concise second-order complexity analysis for unconstrained optimization using high-order regularized models.
Optim. Methods Softw., 2020

Scalable Derivative-Free Optimization for Nonlinear Least-Squares Problems.
CoRR, 2020

2019
Convergence Rate Analysis of a Stochastic Trust-Region Method via Supermartingales.
INFORMS J. Optim., April, 2019

Improving the Flexibility and Robustness of Model-based Derivative-free Optimization Solvers.
ACM Trans. Math. Softw., 2019

Universal Regularization Methods: Varying the Power, the Smoothness and the Accuracy.
SIAM J. Optim., 2019

A derivative-free Gauss-Newton method.
Math. Program. Comput., 2019

Optimality of orders one to three and beyond: Characterization and evaluation complexity in constrained nonconvex optimization.
J. Complex., 2019

2018
Global convergence rate analysis of unconstrained optimization methods based on probabilistic models.
Math. Program., 2018

Second-Order Optimality and Beyond: Characterization and Evaluation Complexity in Convexly Constrained Nonlinear Optimization.
Found. Comput. Math., 2018

Data assimilation approach to analysing systems of ordinary differential equations.
Proceedings of the IEEE International Symposium on Circuits and Systems, 2018

2017
Quantitative Recovery Conditions for Tree-Based Compressed Sensing.
IEEE Trans. Inf. Theory, 2017

Worst-case evaluation complexity of regularization methods for smooth unconstrained optimization using Hölder continuous gradients.
Optim. Methods Softw., 2017

Corrigendum: On the complexity of finding first-order critical points in constrained nonlinear optimization.
Math. Program., 2017

Improved second-order evaluation complexity for unconstrained nonlinear optimization using high-order regularized models.
CoRR, 2017

Evaluation complexity bounds for smooth constrained nonlinear optimisation using scaled KKT conditions, high-order models and the criticality measure $χ$.
CoRR, 2017

2016
Active-set prediction for interior point methods using controlled perturbations.
Comput. Optim. Appl., 2016

2015
A New and Improved Quantitative Recovery Analysis for Iterative Hard Thresholding Algorithms in Compressed Sensing.
IEEE Trans. Inf. Theory, 2015

On the Evaluation Complexity of Constrained Nonlinear Least-Squares and General Constrained Nonlinear Optimization Using Second-Order Methods.
SIAM J. Numer. Anal., 2015

Obituary for Mike Powell.
Optim. Methods Softw., 2015

Branching and bounding improvements for global optimization algorithms with Lipschitz continuity properties.
J. Glob. Optim., 2015

2014
On the complexity of finding first-order critical points in constrained nonlinear optimization.
Math. Program., 2014

2013
An Exact Tree Projection Algorithm for Wavelets.
IEEE Signal Process. Lett., 2013

On the Evaluation Complexity of Cubic Regularization Methods for Potentially Rank-Deficient Nonlinear Least-Squares Problems and Its Relevance to Constrained Nonlinear Optimization.
SIAM J. Optim., 2013

A note about the complexity of minimizing Nesterov's smooth Chebyshev-Rosenbrock function.
Optim. Methods Softw., 2013

2012
On the Oracle Complexity of First-Order and Derivative-Free Algorithms for Smooth Nonconvex Minimization.
SIAM J. Optim., 2012

Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization.
Optim. Methods Softw., 2012

Complexity bounds for second-order optimality in unconstrained optimization.
J. Complex., 2012

2011
Compressed Sensing: How Sharp Is the Restricted Isometry Property?
SIAM Rev., 2011

On the Evaluation Complexity of Composite Function Minimization with Applications to Nonconvex Nonlinear Programming.
SIAM J. Optim., 2011

Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity.
Math. Program., 2011

Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results.
Math. Program., 2011

2010
Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares.
SIAM J. Numer. Anal., 2010

On the Complexity of Steepest Descent, Newton's and Regularized Newton's Methods for Nonconvex Unconstrained Optimization Problems.
SIAM J. Optim., 2010

Phase Transitions for Greedy Sparse Approximation Algorithms
CoRR, 2010

2009
Decay Properties of Restricted Isometry Constants.
IEEE Signal Process. Lett., 2009


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