activity
20122023
most citedThe Asymptotics of Large Constrained Graphs

66 citations · 358 across the 29 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.AP2022★ 1 cited

Transport models for wave propagation in scattering media with nonlinear absorption

Joseph Kraisler, Wei Li, Kui Ren +2

This work considers the propagation of high-frequency waves in highly-scattering media where physical absorption of a nonlinear nature occurs. Using the classical tools of the Wign…

math.NA2022

A Model-Consistent Data-Driven Computational Strategy for PDE Joint Inversion Problems

Kui Ren, Lu Zhang

The task of simultaneously reconstructing multiple physical coefficients in partial differential equations (PDEs) from observed data is ubiquitous in applications. In this work, we…

math.OC2022

An Algebraically Converging Stochastic Gradient Descent Algorithm for Global Optimization

Björn Engquist, Kui Ren, Yunan Yang

We propose a new gradient descent algorithm with added stochastic terms for finding the global optimizers of nonconvex optimization problems. A key component in the algorithm is th…

math.NA2022

Coupling Deep Learning with Full Waveform Inversion

Wen Ding, Kui Ren, Lu Zhang

Full waveform inversion (FWI) aims to reconstruct unknown physical coefficients in wave equations using the wavefield data generated from multiple incoming sources. In this work, w…

cs.LG2022★ 1 cited

A Generalized Weighted Optimization Method for Computational Learning and Inversion

Björn Engquist, Kui Ren, Yunan Yang

The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes. In this paper, we focus on regression mode…