Conforming and nonconforming virtual element methods for elliptic problems A Cangiani, G Manzini, OJ Sutton IMA Journal of Numerical Analysis 37 (3), 1317-1354, 2017 | 258 | 2017 |
A posteriori error estimates for the virtual element method A Cangiani, EH Georgoulis, T Pryer, OJ Sutton Numerische mathematik 137, 857-893, 2017 | 236 | 2017 |
Introduction to k nearest neighbour classification and condensed nearest neighbour data reduction O Sutton University lectures, University of Leicester, 2012 | 194 | 2012 |
The virtual element method in 50 lines of MATLAB OJ Sutton Numerical Algorithms 75, 1141-1159, 2017 | 98 | 2017 |
Virtual element methods for elliptic problems on polygonal meshes A Cangiani, OJ Sutton, V Gyrya, G Manzini Generalized Barycentric Coordinates in Computer Graphics and Computational …, 2017 | 25 | 2017 |
Revealing new dynamical patterns in a reaction–diffusion model with cyclic competition via a novel computational framework A Cangiani, EH Georgoulis, AY Morozov, OJ Sutton Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2018 | 24 | 2018 |
Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods A Cangiani, EH Georgoulis, OJ Sutton Mathematical Models and Methods in Applied Sciences 31 (04), 711-751, 2021 | 10 | 2021 |
Long-time L∞(L2) a posteriori error estimates for fully discrete parabolic problems OJ Sutton IMA Journal of Numerical Analysis 40 (1), 498-529, 2020 | 10 | 2020 |
Virtual element methods OJ Sutton University of Leicester, 2017 | 6 | 2017 |
Residual-Based A Posteriori Error Estimates for -Discontinuous Galerkin Discretizations of the Biharmonic Problem Z Dong, L Mascotto, OJ Sutton SIAM Journal on Numerical Analysis 59 (3), 1273-1298, 2021 | 5 | 2021 |
Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport P Houston, ME Hubbard, TJ Radley, OJ Sutton, RSJ Widdowson arXiv preprint arXiv:2304.09592, 2023 | 4 | 2023 |
The Conforming Virtual Element Method for the convection-diffusion-reaction equation with variable coeffcients. G Manzini, A Cangiani, O Sutton Los Alamos National Laboratory (LANL), Los Alamos, NM (United States), 2014 | 4 | 2014 |
The Boundaries of Verifiable Accuracy, Robustness, and Generalisation in Deep Learning A Bastounis, AN Gorban, AC Hansen, DJ Higham, D Prokhorov, O Sutton, ... International Conference on Artificial Neural Networks, 530-541, 2023 | 3 | 2023 |
Towards a mathematical understanding of learning from few examples with nonlinear feature maps OJ Sutton, AN Gorban, IY Tyukin arXiv preprint arXiv:2211.03607, 2022 | 3 | 2022 |
Relative Intrinsic Dimensionality Is Intrinsic to Learning OJ Sutton, Q Zhou, AN Gorban, IY Tyukin International Conference on Artificial Neural Networks, 516-529, 2023 | 1 | 2023 |
Learning from few examples with nonlinear feature maps IY Tyukin, O Sutton, AN Gorban Science and Information Conference, 210-225, 2023 | 1 | 2023 |
Coping with AI Errors with Provable Guarantees IY Tyukin, T Tyukina, DP van Helden, Z Zheng, EM Mirkes, OJ Sutton, ... Information Sciences, 120856, 2024 | | 2024 |
Weakly Supervised Learners for Correction of AI Errors with Provable Performance Guarantees IY Tyukin, T Tyukina, D van Helden, Z Zhang, EM Mirkes, OJ Sutton, ... arXiv preprint arXiv:2402.00899, 2024 | | 2024 |
How adversarial attacks can disrupt seemingly stable accurate classifiers OJ Sutton, Q Zhou, IY Tyukin, AN Gorban, A Bastounis, DJ Higham arXiv preprint arXiv:2309.03665, 2023 | | 2023 |
A Geometric View on the Role of Nonlinear Feature Maps in Few-Shot Learning OJ Sutton, AN Gorban, IY Tyukin International Conference on Geometric Science of Information, 560-568, 2023 | | 2023 |