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Molei Tao
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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
2382012
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
1092010
Explicit symplectic approximation of nonseparable Hamiltonians: Algorithm and long time performance
M Tao
Physical Review E 94 (4), 043303, 2016
1082016
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
972020
Uncovering circumbinary planetary architectural properties from selection biases
G Li, MJ Holman, M Tao
The Astrophysical Journal 831 (1), 96, 2016
672016
gDDIM: Generalized denoising diffusion implicit models
Q Zhang, M Tao, Y Chen
ICLR 2023, 2022
652022
Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
M Tao
Journal of Computational Physics 327, 245-251, 2016
532016
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
492011
Data-driven prediction of general Hamiltonian dynamics via learning exactly-symplectic maps
R Chen, M Tao
International Conference on Machine Learning, 1717-1727, 2021
402021
Dynamic mode decomposition for multiscale nonlinear physics
D Dylewsky, M Tao, JN Kutz
Physical Review E 99 (6), 063311, 2019
392019
Large learning rate tames homogeneity: Convergence and balancing effect
Y Wang, M Chen, T Zhao, M Tao
ICLR 2022, 2021
372021
Variational integrators for electric circuits
S Ober-Blöbaum, M Tao, M Cheng, H Owhadi, JE Marsden
Journal of Computational Physics 242, 498-530, 2013
322013
Convex optimal uncertainty quantification
S Han, M Tao, U Topcu, H Owhadi, RM Murray
SIAM Journal on Optimization, 2015
272015
Sqrt (d) dimension dependence of langevin monte carlo
R Li, H Zha, M Tao
ICLR 2022, 2021
252021
Space-time phononic crystals with anomalous topological edge states
M Oudich, Y Deng, M Tao, Y Jing
Physical Review Research 1 (3), 033069, 2019
252019
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
232022
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
212020
Hyperbolic periodic orbits in nongradient systems and small-noise-induced metastable transitions
M Tao
Physica D, 2017
212017
Analysis and design of capacitive parametric ultrasonic transducers for efficient ultrasonic power transfer based on a 1-D lumped model
S Surappa, M Tao, FL Degertekin
IEEE Transactions on ultrasonics, ferroelectrics, and frequency control 65 …, 2018
202018
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
192020
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