Cartis, Coralia

1. Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers
   2018/03/31 by Cartis, Coralia, Fiala, Jan, Marteau, Benjamin +1 · 9 citations
   #FOS: Mathematics #Optimization and Control (math.OC)
2. Global convergence rate analysis of unconstrained optimization methods\n based on probabilistic models
   2015/05/22 by Coralia Cartis, Katya Scheinberg, Cartis, Coralia +1 · 7 citations
   Mathematics · Computer Science · #Advanced Optimization Algorithms Research #Advanced Multi-Objective Optimization Algorithms
3. Scalable Subspace Methods for Derivative-Free Nonlinear Least-Squares Optimization
   2021/02/24 by Coralia Cartis, Lindon Roberts, Cartis, Coralia +1 · 6 citations
   Mathematics · Computer Science · Engineering · #Advanced Optimization Algorithms Research #Polynomial and algebraic computation #Sparse and Compressive Sensing Techniques
4. Universal regularization methods - varying the power, the smoothness and\n the accuracy
   2018/11/16 by Coralia Cartis, Nicholas I. M. Gould, Cartis, Coralia +3 · 4 citations
   Engineering · Computer Science · Mathematics · #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Advanced Optimization Algorithms Research
5. Second-order methods for quartically-regularised cubic polynomials, with applications to high-order tensor methods
   2023/08/29 by Coralia Cartis, Cartis, Coralia, Wenqi Zhu +1 · 5 citations
   Mathematics · Computer Science · #Tensor decomposition and applications #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research
6. A Derivative-Free Gauss-Newton Method
   2017/10/30 by Cartis, Coralia, Roberts, Lindon · 2 citations
   #FOS: Mathematics #Optimization and Control (math.OC)
7. Cubic-quartic regularization models for solving polynomial subproblems in third-order tensor methods
   2023/12/16 by Wenqi Zhu, Coralia Cartis, Zhu, Wenqi +1 · 4 citations
   Mathematics · Computer Science · #Advanced Optimization Algorithms Research #Tensor decomposition and applications #Matrix Theory and Algorithms
8. Compressed Sensing: How sharp is the Restricted Isometry Property
   2010/04/28 by Jeffrey D. Blanchard, Coralia Cartis, Blanchard, Jeffrey D. +3 · 2 citations
   Computer Science · Engineering · #Distributed Sensor Networks and Detection Algorithms #Electrical and Bioimpedance Tomography #FOS: Computer and information sciences #Information Theory (cs.IT) #Sparse and Compressive Sensing Techniques
9. Randomised subspace methods for non-convex optimization, with applications to nonlinear least-squares
   2022/11/17 by Cartis, Coralia, Fowkes, Jaroslav, Shao, Zhen · 2 citations
   #FOS: Mathematics #Optimization and Control (math.OC)
10. A new and improved quantitative recovery analysis for iterative hard thresholding algorithms in compressed sensing
    2013/09/20 by Cartis, Coralia, Thompson, Andrew · 1 citation
    #65K99 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Numerical Analysis (math.NA)
11. Efficient Implementation of Third-Order Tensor Methods with Adaptive Regularization for Unconstrained Optimization
    2024/12/31 by Coralia Cartis, Raphael Hauser, Cartis, Coralia +7 · 4 citations
    Computer Science · Mathematics · #Matrix Theory and Algorithms #Tensor decomposition and applications #Advanced Optimization Algorithms Research
12. Learning the subspace of variation for global optimization of functions with low effective dimension
    2024/01/31 by Cartis, Coralia, Liang, Xinzhu, Massart, Estelle +1 · 2 citations
    #FOS: Mathematics #Optimization and Control (math.OC)
13. Global optimization using random embeddings
    2021/07/26 by Cartis, Coralia, Massart, Estelle, Otemissov, Adilet · 1 citation
    #90C06 #90C26 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)
14. Random Subspace Cubic-Regularization Methods, with Applications to Low-Rank Functions
    2025/01/16 by Cartis, Coralia, Shao, Zhen, Tansley, Edward · 2 citations
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
15. A dimensionality reduction technique for unconstrained global\n optimization of functions with low effective dimensionality
    2020/03/21 by Coralia Cartis, Adilet Otemissov, Cartis, Coralia +1 · 1 citation
    Computer Science · Decision Sciences · Engineering · #90C26 (Primary) 90C06 (Secondary) #Advanced Bandit Algorithms Research #Advanced Multi-Objective Optimization Algorithms #FOS: Mathematics #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
16. Global Optimality Characterizations and Algorithms for Minimizing Quartically-Regularized Third-Order Taylor Polynomials
    2025/04/28 by Wenqi Zhu, Zhu, Wenqi, Coralia Cartis +1 · 2 citations
    Computer Science · Engineering · Mathematics · #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Tensor decomposition and applications #cs.NA #math.NA #math.OC
17. Global Convergence of High-Order Regularization Methods with Sums-of-Squares Taylor Models
    2024/04/03 by Wenqi Zhu, Coralia Cartis, Zhu, Wenqi +1 · 1 citation
    Mathematics · Engineering · #Numerical methods in inverse problems #Topology Optimization in Engineering #Piezoelectric Actuators and Control
18. Local Convergence of Adaptively Regularized Tensor Methods
    2025/10/29 by Welzel, Karl, Liu, Yang, Hauser, Raphael A. +1 · 1 citation
    #65K05 #90C26 #FOS: Mathematics #Optimization and Control (math.OC)
19. Scalable Second-Order Optimization Algorithms for Minimizing Low-rank Functions
    2025/01/07 by Edward Tansley, Tansley, Edward, Coralia Cartis +1 · 1 citation
    Computer Science · Engineering · #Advanced Image Processing Techniques #FOS: Mathematics #Image and Signal Denoising Methods #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques