Fourier neural operator for parametric partial differential equations Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2010.08895, 2020 | 1706 | 2020 |
Neural operator: Learning maps between function spaces with applications to pdes N Kovachki, Z Li, B Liu, K Azizzadenesheli, K Bhattacharya, A Stuart, ... Journal of Machine Learning Research 24 (89), 1-97, 2023 | 529 | 2023 |
Neural operator: Graph kernel network for partial differential equations Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2003.03485, 2020 | 508 | 2020 |
Multipole Graph Neural Operator for Parametric Partial Differential Equations Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... Neural Information Processing Systems (Neurips) 2020, 2020 | 313 | 2020 |
Physics-informed neural operator for learning partial differential equations Z Li, H Zheng, N Kovachki, D Jin, H Chen, B Liu, K Azizzadenesheli, ... ACM/JMS Journal of Data Science, 2021 | 271 | 2021 |
Fourier neural operator with learned deformations for pdes on general geometries Z Li, DZ Huang, B Liu, A Anandkumar Journal of Machine Learning Research 24 (388), 1-26, 2023 | 123 | 2023 |
Neural operator: Graph kernel network for partial differential equations A Anandkumar, K Azizzadenesheli, K Bhattacharya, N Kovachki, Z Li, ... ICLR 2020 Workshop on Integration of Deep Neural Models and Differential …, 2020 | 94 | 2020 |
Fourier neural operator for parametric partial differential equations (2020) Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2010.08895, 2010 | 54 | 2010 |
A learning-based multiscale method and its application to inelastic impact problems B Liu, N Kovachki, Z Li, K Azizzadenesheli, A Anandkumar, A Stuart, ... arXiv preprint arXiv:2102.07256, 2021 | 51 | 2021 |
High strength metallic wood from nanostructured nickel inverse opal materials JH Pikul, S Özerinç, B Liu, R Zhang, PV Braun, VS Deshpande, WP King Scientific reports 9 (1), 719, 2019 | 48 | 2019 |
Markov neural operators for learning chaotic systems Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2106.06898, 25, 2021 | 42 | 2021 |
Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization N Kovachki, B Liu, X Sun, H Zhou, K Bhattacharya, M Ortiz, A Stuart Mechanics of Materials 165, 104156, 2022 | 41 | 2022 |
Failure mechanism maps for ultra-high molecular weight polyethylene fibre composite beams impacted by blunt projectiles BG Liu, HNG Wadley, VS Deshpande International Journal of Solids and Structures 178, 180-198, 2019 | 28 | 2019 |
Strengthening magnesium by design: Integrating alloying and dynamic processing SE Prameela, P Yi, Y Hollenweger, B Liu, J Chen, L Kecskes, ... Mechanics of Materials 167, 104203, 2022 | 25 | 2022 |
Deep penetration of ultra-high molecular weight polyethylene composites by a sharp-tipped punch BG Liu, K Kandan, HNG Wadley, VS Deshpande Journal of the Mechanics and Physics of Solids 123, 80-102, 2019 | 22 | 2019 |
Learning chaotic dynamics in dissipative systems Z Li, M Liu-Schiaffini, N Kovachki, K Azizzadenesheli, B Liu, ... Advances in Neural Information Processing Systems 35, 16768-16781, 2022 | 19 | 2022 |
High strain rate compressive response of ultra-high molecular weight polyethylene fibre composites BG Liu, K Kandan, HNG Wadley, VS Deshpande International Journal of Plasticity 122, 115-134, 2019 | 19 | 2019 |
A physically-based constitutive model for the shear-dominated response and strain rate effect of carbon fibre reinforced composites W Tan, B Liu Composites Part B: Engineering 193, 108032, 2020 | 16 | 2020 |
Learning macroscopic internal variables and history dependence from microscopic models B Liu, E Ocegueda, M Trautner, AM Stuart, K Bhattacharya Journal of the Mechanics and Physics of Solids 178, 105329, 2023 | 13 | 2023 |
Learning dissipative dynamics in chaotic systems Z Li, M Liu-Schiaffini, N Kovachki, B Liu, K Azizzadenesheli, ... arXiv preprint arXiv:2106.06898, 2021 | 12 | 2021 |