Tiangang Cui

Orcid: 0000-0002-4840-8545

According to our database1, Tiangang Cui authored at least 32 papers between 2015 and 2024.

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Bibliography

2024
Multilevel Monte Carlo Methods for Stochastic Convection-Diffusion Eigenvalue Problems.
J. Sci. Comput., June, 2024

Deep Importance Sampling Using Tensor Trains with Application to a Priori and a Posteriori Rare Events.
SIAM J. Sci. Comput., February, 2024

Tensor-train methods for sequential state and parameter learning in state-space models.
J. Mach. Learn. Res., 2024

Low-rank Bayesian matrix completion via geodesic Hamiltonian Monte Carlo on Stiefel manifolds.
CoRR, 2024

\ell<sub>\infty</sub>-approximation of localized distributions.
CoRR, 2024

Sharp detection of low-dimensional structure in probability measures via dimensional logarithmic Sobolev inequalities.
CoRR, 2024

Sequential transport maps using SoS density estimation and α-divergences.
CoRR, 2024

2023
Scalable conditional deep inverse Rosenblatt transports using tensor trains and gradient-based dimension reduction.
J. Comput. Phys., 2023

Bernstein approximation and beyond: proofs by means of elementary probability theory.
CoRR, 2023

Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation.
CoRR, 2023

Self-reinforced polynomial approximation methods for concentrated probability densities.
CoRR, 2023

Tensor-based Methods for Sequential State and Parameter Estimation in State Space Models.
CoRR, 2023

2022
Certified dimension reduction in nonlinear Bayesian inverse problems.
Math. Comput., 2022

Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports.
Found. Comput. Math., 2022

A variational neural network approach for glacier modelling with nonlinear rheology.
CoRR, 2022

Deep importance sampling using tensor-trains with application to a priori and a posteriori rare event estimation.
CoRR, 2022

Prior normalization for certified likelihood-informed subspace detection of Bayesian inverse problems.
CoRR, 2022

2021
Identification of community structure-based brain states and transitions using functional MRI.
NeuroImage, 2021

Optimization-Based Markov Chain Monte Carlo Methods for Nonlinear Hierarchical Statistical Inverse Problems.
SIAM/ASA J. Uncertain. Quantification, 2021

Conditional Deep Inverse Rosenblatt Transports.
CoRR, 2021

Data-Free Likelihood-Informed Dimension Reduction of Bayesian Inverse Problems.
CoRR, 2021

2020
Scalable Optimization-Based Sampling on Function Space.
SIAM J. Sci. Comput., 2020

Optimization-Based MCMC Methods for Nonlinear Hierarchical Statistical Inverse Problems.
CoRR, 2020

2019
Multilevel Dimension-Independent Likelihood-Informed MCMC for Large-Scale Inverse Problems.
CoRR, 2019

Stein Variational Online Changepoint Detection with Applications to Hawkes Processes and Neural Networks.
CoRR, 2019

2018
A Stein variational Newton method.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

Mathematical Modelling of Genetic Network for Regulating the Fate Determination of Hematopoietic Stem Cells.
Proceedings of the IEEE International Conference on Bioinformatics and Biomedicine, 2018

2017
Bayesian Inverse Problems with l<sub>1</sub> Priors: A Randomize-Then-Optimize Approach.
SIAM J. Sci. Comput., 2017

Goal-Oriented Optimal Approximations of Bayesian Linear Inverse Problems.
SIAM J. Sci. Comput., 2017

2016
Scalable posterior approximations for large-scale Bayesian inverse problems via likelihood-informed parameter and state reduction.
J. Comput. Phys., 2016

Dimension-independent likelihood-informed MCMC.
J. Comput. Phys., 2016

2015
Optimal Low-rank Approximations of Bayesian Linear Inverse Problems.
SIAM J. Sci. Comput., 2015


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