Evaluation complexity bounds for smooth constrained nonlinear optimisation using scaled KKT conditions, high-order models and the criticality measure $\chi$
Cartis, C Gould, N Toint, P (13 May 2017)
Optimality of orders one to three and beyond: characterization and evaluation complexity in constrained nonconvex optimization
Cartis, C Gould, N Toint, P (20 May 2017)
Phase Transitions for Greedy Sparse Approximation Algorithms
Blanchard, J Cartis, C Tanner, J Thompson, A (11 Apr 2010)
Compressed Sensing: How sharp is the Restricted Isometry Property
Blanchard, J Cartis, C Tanner, J (28 Apr 2010)
A new and improved quantitative recovery analysis for iterative hard thresholding algorithms in compressed sensing
Cartis, C Thompson, A (20 Sep 2013)
Active-set prediction for interior point methods using controlled perturbations
Cartis, C Yan, Y (27 Apr 2014)
Global convergence rate analysis of unconstrained optimization methods based on probabilistic models
Cartis, C Scheinberg, K (22 May 2015)
Improved second-order evaluation complexity for unconstrained nonlinear optimization using high-order regularized models
Cartis, C Gould, N Toint, P (14 Aug 2017)
An exact tree projection algorithm for wavelets
Cartis, C Thompson, A (16 Apr 2013)
Adaptive regularization with cubics on manifolds
Agarwal, N Boumal, N Bullins, B Cartis, C (31 May 2018)
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