DifferentialEquations.jl – a performant and feature-rich ecosystem for solving differential equations in Julia C Rackauckas, Q Nie Journal of Open Research Software 5 (1), 2017 | 1410 | 2017 |
Universal differential equations for scientific machine learning C Rackauckas, Y Ma, J Martensen, C Warner, K Zubov, R Supekar, ... arXiv preprint arXiv:2001.04385, 2020 | 785* | 2020 |
Generalized physics-informed learning through language-wide differentiable programming C Rackauckas, A Edelman, K Fischer, M Innes, E Saba, VB Shah, ... 2020 AAAI Spring Symposium on Machine Learning for Physical Sciences (MLPS), 2021 | 237* | 2021 |
A machine learning-aided global diagnostic and comparative tool to assess effect of quarantine control in COVID-19 spread R Dandekar, C Rackauckas, G Barbastathis Patterns 1 (9), 2020 | 228* | 2020 |
A comparison of automatic differentiation and continuous sensitivity analysis for derivatives of differential equation solutions Y Ma, V Dixit, MJ Innes, X Guo, C Rackauckas 2021 IEEE High Performance Extreme Computing Conference (HPEC), 1-9, 2021 | 152 | 2021 |
Stiff neural ordinary differential equations S Kim, W Ji, S Deng, Y Ma, C Rackauckas Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (9), 2021 | 128 | 2021 |
Modelingtoolkit: A composable graph transformation system for equation-based modeling Y Ma, S Gowda, R Anantharaman, C Laughman, V Shah, C Rackauckas arXiv preprint arXiv:2103.05244, 2021 | 94 | 2021 |
Adaptive methods for stochastic differential equations via natural embeddings and rejection sampling with memory C Rackauckas, Q Nie Discrete and continuous dynamical systems. Series B 22 (7), 2731, 2017 | 87 | 2017 |
Neuralpde: Automating physics-informed neural networks (pinns) with error approximations K Zubov, Z McCarthy, Y Ma, F Calisto, V Pagliarino, S Azeglio, L Bottero, ... arXiv preprint arXiv:2107.09443, 2021 | 85 | 2021 |
Differentiable modelling to unify machine learning and physical models for geosciences C Shen, AP Appling, P Gentine, T Bandai, H Gupta, A Tartakovsky, ... Nature Reviews Earth & Environment 4 (8), 552-567, 2023 | 67 | 2023 |
High-performance symbolic-numerics via multiple dispatch S Gowda, Y Ma, A Cheli, M Gwóźzdź, VB Shah, A Edelman, ... ACM Communications in Computer Algebra 55 (3), 92-96, 2022 | 61 | 2022 |
Bayesian neural ordinary differential equations R Dandekar, K Chung, V Dixit, M Tarek, A Garcia-Valadez, KV Vemula, ... Languages for Inference (LAFI) 2021 - POPL 2021, 2020 | 58 | 2020 |
Accelerated predictive healthcare analytics with Pumas, a high performance pharmaceutical modeling and simulation platform C Rackauckas, Y Ma, A Noack, V Dixit, PK Mogensen, S Byrne, ... | 45* | 2020 |
Noise modulation in retinoic acid signaling sharpens segmental boundaries of gene expression in the embryonic zebrafish hindbrain J Sosnik, L Zheng, CV Rackauckas, M Digman, E Gratton, Q Nie, ... Elife 5, e14034, 2016 | 41 | 2016 |
Opening the Blackbox: Accelerating Neural Differential Equations by Regularizing Internal Solver Heuristics A Pal, Y Ma, V Shah, C Rackauckas The Thirty-eighth International Conference on Machine Learning (ICML), 2021 | 40 | 2021 |
Two heads are better than one: current landscape of integrating QSP and machine learning: an ISoP QSP SIG white paper by the working group on the integration of quantitative … T Zhang, IP Androulakis, P Bonate, L Cheng, T Helikar, J Parikh, ... Journal of Pharmacokinetics and Pharmacodynamics 49 (1), 5-18, 2022 | 31 | 2022 |
Beyond deterministic models in drug discovery and development I Irurzun-Arana, C Rackauckas, TO McDonald, IF Trocóniz Trends in pharmacological sciences 41 (11), 882-895, 2020 | 31 | 2020 |
Confederated modular differential equation APIs for accelerated algorithm development and benchmarking C Rackauckas, Q Nie Advances in Engineering Software 132, 1-6, 2019 | 31 | 2019 |
A comparison between differential equation solver suites in MATLAB, R, Julia, Python, C, Mathematica, Maple, and Fortran C Rackauckas The Winnower 5 (e153459), 55, 2017 | 31* | 2017 |
Plots.jl--a user extendable plotting API for the julia programming language S Christ, D Schwabeneder, C Rackauckas arXiv preprint arXiv:2204.08775, 2022 | 30 | 2022 |