引用次数
引用: 1,393
H-指数: 20
I10-指数 : 28
出版物: 83
Convex optimal uncertainty quantification: Algorithms and a case study in energy storage placement for power grids
Shuo Han , Ufuk Topcu , Molei Tao , Houman Owhadi
american control conference 1130 -1137
7
2013
Metastable transitions in inertial Langevin systems: What can be different from the overdamped case?
ANDRE N. SOUZA , MOLEI TAO
European Journal of Applied Mathematics 30 ( 5) 830 -852
3
2019
Temporal Homogenization of Linear ODEs, with Applications to Parametric Super-Resonance and Energy Harvest
Houman Owhadi , Molei Tao
Archive for Rational Mechanics and Analysis 220 ( 1) 261 -296
4
2016
Stochasticity of Deterministic Gradient Descent: Large Learning Rate for Multiscale Objective Function
Molei Tao , Lingkai Kong
arXiv: Learning
9
2020
Variational Optimization on Lie Groups, with Examples of Leading (Generalized) Eigenvalue Problems
Tomoki Ohsawa , Molei Tao
international conference on artificial intelligence and statistics 4269 -4280
5
2020
Space-time phononic crystals with anomalous topological edge states
Molei Tao , Yun Jing , Mourad Oudich , Mourad Oudich
Physical Review Research 1 ( 3) 033069
19
2019
Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging
Houman Owhadi , Molei Tao , Jerrold E. Marsden
Multiscale Modeling & Simulation 8 ( 4) 1269 -1324
61
2010
Why Do Deep Residual Networks Generalize Better than Deep Feedforward Networks? --- A Neural Tangent Kernel Perspective
Molei Tao , Tuo Zhao , Yuqing Wang , Kaixuan Huang
neural information processing systems 33 2698 -2709
62
2020
Space-time phononic crystals with anomalous topological edge states
Molei Tao , Yun Jing , Mourad Oudich , Yuanchen Deng
Bulletin of the American Physical Society
2020
Data-driven Prediction of General Hamiltonian Dynamics via Learning Exactly-Symplectic Maps.
Molei Tao , Renyi Chen
arXiv: Learning
19
2021
Simply improved averaging for coupled oscillators and weakly nonlinear waves
Molei Tao
Communications in Nonlinear Science and Numerical Simulation 71 1 -21
6
2019
Dynamic mode decomposition for multiscale nonlinear physics.
Daniel Dylewsky , Molei Tao , J. Nathan Kutz
Physical Review E 99 ( 6) 063311
11
2019
A Derivative-Free Optimization Method With Application to Functions With Exploding and Vanishing Gradients
Said Al-Abri , Tony X. Lin , Molei Tao , Fumin Zhang
ieee control systems letters 5 ( 2) 587 -592
12
2021
Variational integrators for electric circuits
Sina Ober-Blöbaum , Molei Tao , Mulin Cheng , Houman Owhadi
Journal of Computational Physics 242 498 -530
27
2013
From Efficient Symplectic Exponentiation of Matrices to Symplectic Integration of High-dimensional Hamiltonian Systems with Slowly Varying Quadratic Stiff Potentials
Molei Tao , Houman Owhadi , Jerrold E. Marsden
Applied Mathematics Research Express 2011 ( 2) 242 -280
8
2011
Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
Molei Tao
Journal of Computational Physics 327 245 -251
46
2016
Uncovering Circumbinary Planetary Architectural Properties from Selection Biases
Gongjie Li , Matthew J. Holman , Molei Tao
The Astrophysical Journal 831 ( 1) 96
46
2016
Explicit symplectic approximation of nonseparable Hamiltonians: Algorithm and long time performance.
Molei Tao
Physical Review E 94 ( 4) 043303 -043303
86
2016
Convex Optimal Uncertainty Quantification
Shuo Han , Molei Tao , Ufuk Topcu , Houman Owhadi
Siam Journal on Optimization 25 ( 3) 1368 -1387
8
2015
Statistics of Dislocation Slip Avalanches in Nanosized Single Crystals Show Tuned Critical Behavior Predicted by a Simple Mean Field Model
Jonathan T. Uhl , Julia R. Greer , Karin A. Dahmen , Nir Friedman
Physical Review Letters 109 ( 9) 095507 -095507
217
2012