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Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool

- I. Daubechies, J. Lu, Hau-Tieng Wu
- Mathematics
- 1 March 2011

Abstract The EMD algorithm is a technique that aims to decompose into their building blocks functions that are the superposition of a (reasonably) small number of components, well separated in the… Expand

Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems

- Lin Lin, J. Lu, Lexing Ying, R. Car, E. Weinan
- Mathematics
- 17 November 2009

We propose an algorithm for extracting the diagonal of the inverse matrices arising from electronic structure calculation. The proposed algorithm uses a hierarchical decomposition of the… Expand

Fast construction of hierarchical matrix representation from matrix-vector multiplication

- Lin Lin, J. Lu, Lexing Ying
- Mathematics, Computer Science
- J. Comput. Phys.
- 31 December 2009

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Frozen Gaussian Approximation for General Linear Strictly Hyperbolic Systems: Formulation and Eulerian Methods

- J. Lu, Xu Yang
- Computer Science, Mathematics
- Multiscale Model. Simul.
- 10 October 2010

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Deep Network Approximation for Smooth Functions

- J. Lu, Zuowei Shen, Haizhao Yang, Shijun Zhang
- Computer Science, Mathematics
- ArXiv
- 9 January 2020

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Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods

- A. Nishimura, D. Dunson, J. Lu
- Mathematics
- 23 May 2017

Hamiltonian Monte Carlo has emerged as a standard tool for posterior computation. In this article, we present an extension that can efficiently explore target distributions with discontinuous… Expand

Solving parametric PDE problems with artificial neural networks

- Y. Khoo, J. Lu, Lexing Ying
- Mathematics, Computer Science
- European Journal of Applied Mathematics
- 11 July 2017

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Stochastic modified equations for the asynchronous stochastic gradient descent

- Jing An, J. Lu, Lexing Ying
- Computer Science, Mathematics
- ArXiv
- 21 May 2018

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SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix

- Lin Lin, Chao Yang, J. Meza, J. Lu, Lexing Ying, E. Weinan
- Computer Science, Mathematics
- TOMS
- 1 April 2010

We describe an efficient implementation of an algorithm for computing selected elements of a general sparse symmetric matrix A that can be decomposed as A = LDLT, where L is lower triangular and D is… Expand

Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime

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