Statistics of dislocation slip avalanches in nanosized single crystals show tuned critical behavior predicted by a simple mean field model N Friedman, AT Jennings, G Tsekenis, JY Kim, M Tao, JT Uhl, JR Greer, ... Physical review letters 109 (9), 095507, 2012 | 238 | 2012 |

Explicit symplectic approximation of nonseparable Hamiltonians: Algorithm and long time performance M Tao Physical Review E 94 (4), 043303, 2016 | 115 | 2016 |

Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging M Tao, H Owhadi, JE Marsden Multiscale Modeling & Simulation 8 (4), 1269-1324, 2010 | 111 | 2010 |

Why Do Deep Residual Networks Generalize Better than Deep Feedforward Networks?---A Neural Tangent Kernel Perspective K Huang, Y Wang, M Tao, T Zhao Advances in neural information processing systems 33, 2698-2709, 2020 | 102 | 2020 |

gDDIM: Generalized denoising diffusion implicit models Q Zhang, M Tao, Y Chen ICLR 2023, 2022 | 88 | 2022 |

Uncovering circumbinary planetary architectural properties from selection biases G Li, MJ Holman, M Tao The Astrophysical Journal 831 (1), 96, 2016 | 68 | 2016 |

Explicit high-order symplectic integrators for charged particles in general electromagnetic fields M Tao Journal of Computational Physics 327, 245-251, 2016 | 54 | 2016 |

Evaluation of a wave-vector-frequency-domain method for nonlinear wave propagation Y Jing, M Tao, GT Clement The Journal of the Acoustical Society of America 129 (1), 32-46, 2011 | 51 | 2011 |

Data-driven prediction of general Hamiltonian dynamics via learning exactly-symplectic maps R Chen, M Tao International Conference on Machine Learning, 1717-1727, 2021 | 49 | 2021 |

Dynamic mode decomposition for multiscale nonlinear physics D Dylewsky, M Tao, JN Kutz Physical Review E 99 (6), 063311, 2019 | 42 | 2019 |

Large learning rate tames homogeneity: Convergence and balancing effect Y Wang, M Chen, T Zhao, M Tao ICLR 2022, 2021 | 40 | 2021 |

Variational integrators for electric circuits S Ober-Blöbaum, M Tao, M Cheng, H Owhadi, JE Marsden Journal of Computational Physics 242, 498-530, 2013 | 33 | 2013 |

The mirror Langevin algorithm converges with vanishing bias R Li, M Tao, SS Vempala, A Wibisono International Conference on Algorithmic Learning Theory, 718-742, 2022 | 29 | 2022 |

Space-time phononic crystals with anomalous topological edge states M Oudich, Y Deng, M Tao, Y Jing Physical Review Research 1 (3), 033069, 2019 | 28 | 2019 |

Sqrt (d) dimension dependence of langevin monte carlo R Li, H Zha, M Tao ICLR 2022, 2021 | 27 | 2021 |

Convex optimal uncertainty quantification S Han, M Tao, U Topcu, H Owhadi, RM Murray SIAM Journal on Optimization, 2015 | 27 | 2015 |

A derivative-free optimization method with application to functions with exploding and vanishing gradients S Al-Abri, TX Lin, M Tao, F Zhang IEEE Control Systems Letters 5 (2), 587-592, 2020 | 22 | 2020 |

Variational optimization on lie groups, with examples of leading (generalized) eigenvalue problems M Tao, T Ohsawa International Conference on Artificial Intelligence and Statistics, 4269-4280, 2020 | 21 | 2020 |

Hyperbolic periodic orbits in nongradient systems and small-noise-induced metastable transitions M Tao Physica D, 2017 | 21 | 2017 |

Stochasticity of deterministic gradient descent: Large learning rate for multiscale objective function L Kong, M Tao Advances in neural information processing systems 33, 2625-2638, 2020 | 20 | 2020 |