1 citations · 1 across the 4 of their papers we have counts for
4 papers
A Dilation-based Seamless Multiscale Method For Elliptic Problems
Ziheng Chen, Björn Engquist
Many numerical methods for multiscale differential equations require a scale separation between the larger and the smaller scales to achieve accuracy and computational efficiency.…
Sampling with Adaptive Variance for Multimodal Distributions
Björn Engquist, Kui Ren, Yunan Yang
We propose and analyze a class of adaptive sampling algorithms for multimodal distributions on a bounded domain, which share a structural resemblance to the classic overdamped Lang…
Adaptive State-Dependent Diffusion for Derivative-Free Optimization
Björn Engquist, Kui Ren, Yunan Yang
This paper develops and analyzes a stochastic derivative-free optimization strategy. A key feature is the state-dependent adaptive variance. We prove global convergence in probabil…
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…