32 citations · 114 across the 16 of their papers we have counts for
7 papers · 1 filter
Sampling Using Hybrid Stochastic Dynamics
Björn Engquist, Kui Ren, Yunan Yang
This work proposes a framework for sampling from the Gibbs distribution of a given potential using hybrid stochastic dynamics. In this framework, two distinct sampling dynamics are…
Optimal Transport Based Seismic Inversion: Beyond Cycle Skipping
Bjorn Engquist, Yunan Yang
Full-waveform inversion (FWI) is today a standard process for the inverse problem of seismic imaging. PDE-constrained optimization is used to determine unknown parameters in a wave…
The quadratic Wasserstein metric for inverse data matching
Bjorn Engquist, Kui Ren, Yunan Yang
This work characterizes, analytically and numerically, two major effects of the quadratic Wasserstein () distance as the measure of data discrepancy in computational solutions…
Seismic Inversion and the Data Normalization for Optimal Transport
Björn Engquist, Yunan Yang
Full waveform inversion (FWI) has recently become a favorite technique for the inverse problem of finding properties in the earth from measurements of vibrations of seismic waves o…
Seismic Imaging and Optimal Transport
Björn Engquist, Yunan Yang
Seismology has been an active science for a long time. It changed character about 50 years ago when the earth's vibrations could be measured on the surface more accurately and more…
Fast Sweeping Methods for Hyperbolic Systems of Conservation Laws at Steady State II
Bjorn Engquist, Brittany D. Froese, Yen-Hsi Richard Tsai
The idea of using fast sweeping methods for solving stationary systems of conservation laws has previously been proposed for efficiently computing solutions with sharp shocks. We f…
Fast Sweeping Methods for Hyperbolic Systems of Conservation Laws at Steady State
Bjorn Engquist, Brittany D. Froese, Yen-Hsi Richard Tsai
Fast sweeping methods have become a useful tool for computing the solutions of static Hamilton-Jacobi equations. By adapting the main idea behind these methods, we describe a new a…