285 citations · 499 across the 55 of their papers we have counts for
5 papers · 2 filters
Randomized Subspace Derivative-Free Optimization with Quadratic Models and Second-Order Convergence
Coralia Cartis, Lindon Roberts
We consider model-based derivative-free optimization (DFO) for large-scale problems, based on iterative minimization in random subspaces. We provide the first worst-case complexity…
Dimensionality Reduction Techniques for Global Bayesian Optimisation
Luo Long, Coralia Cartis, Paz Fink Shustin
Bayesian Optimisation (BO) is a state-of-the-art global optimisation technique for black-box problems where derivative information is unavailable, and sample efficiency is crucial.…
Global Convergence of High-Order Regularization Methods with Sums-of-Squares Taylor Models
Wenqi Zhu, Coralia Cartis
High-order tensor methods that employ Taylor-based local models (of degree ) within adaptive regularization frameworks have been recently proposed for both convex and nonco…
Learning the subspace of variation for global optimization of functions with low effective dimension
Coralia Cartis, Xinzhu Liang, Estelle Massart +1
We propose an algorithmic framework, that employs active subspace techniques, for scalable global optimization of functions with low effective dimension (also referred to as low-ra…
Registration of algebraic varieties using Riemannian optimization
Florentin Goyens, Coralia Cartis, Stéphane Chrétien
We consider the point cloud registration problem, the task of finding a transformation between two point clouds that represent the same object but are expressed in different coordi…