341 citations · 852 across the 28 of their papers we have counts for
28 papers
The Reconstruction of the Space-Dependent Thermal Conductivity from Sparse Temperature Measurements
Guangting Yu, Shiwei Lan, Kookjin Lee +1
We present a novel method for reconstructing the thermal conductivity coefficient in 1D and 2D heat equations using moving sensors that dynamically traverse the domain to record sp…
Scaling Up Bayesian Neural Networks with Neural Networks
Zahra Moslemi, Yang Meng, Shiwei Lan +1
Bayesian Neural Networks (BNNs) offer a principled and natural framework for proper uncertainty quantification in the context of deep learning. They address the typical challenges…
Spatiotemporal Besov Priors for Bayesian Inverse Problems
Shiwei Lan, Mirjeta Pasha, Shuyi Li +1
Fast development in science and technology has driven the need for proper statistical tools to capture special data features such as abrupt changes or sharp contrast. Many inverse…
Bayesian Learning via Q-Exponential Process
Shuyi Li, Michael O'Connor, Shiwei Lan
Regularization is one of the most fundamental topics in optimization, statistics and machine learning. To get sparsity in estimating a parameter , an pen…
Sampling Constrained Continuous Probability Distributions: A Review
Shiwei Lan, Lulu Kang
The problem of sampling constrained continuous distributions has frequently appeared in many machine/statistical learning models. Many Monte Carlo Markov Chain (MCMC) sampling meth…
Bayesian Spatiotemporal Modeling for Inverse Problems
Shiwei Lan, Shuyi Li, Mirjeta Pasha
Inverse problems with spatiotemporal observations are ubiquitous in scientific studies and engineering applications. In these spatiotemporal inverse problems, observed multivariate…