preprints, journal articles, book chapters, and conference articles in reversed chronological order.


  1. arxiv
    Convergence Speed and Approximation Accuracy of Numerical MCMC
    Cui, Tiangang, Dong, Jing, Jasra, Ajay, and Tong, Xin T
  2. arxiv
    Prior normalization for certified likelihood-informed subspace detection of Bayesian inverse problems
    Cui, Tiangang, Tong, Xin, and Zahm, Olivier
  1. arxiv
    Conditional Deep Inverse Rosenblatt Transports
    Cui, Tiangang, Dolgov, Sergey, and Zahm, Olivier
    1. arxiv
      Stein variational online changepoint detection with applications to Hawkes processes and neural networks
      Detommaso, Gianluca, Hoitzing, Hanne, Cui, Tiangang, and Alamir, Ardavan
    2. arxiv
      Multilevel dimension-independent likelihood-informed MCMC for large-scale inverse problems

      journal articles


      1. Bernoulli
        A unified performance analysis of likelihood-informed subspace methods
        Cui, Tiangang, and Tong, Xin T
      2. MathComp
        Certified dimension reduction in nonlinear Bayesian inverse problems
        Zahm, Olivier, Cui, Tiangang, Law, Kody, Spantini, Alessio, and Marzouk, Youssef


      1. IP
        Data-free likelihood-informed dimension reduction of Bayesian inverse problems
        Cui, Tiangang, and Zahm, Olivier
      2. JUQ
        Optimization-Based Markov Chain Monte Carlo Methods for Nonlinear Hierarchical Statistical Inverse Problems
        Bardsley, Johnathan M, and Cui, Tiangang
      3. NeuroImage
        Identification of community structure-based brain states and transitions using functional MRI
        Bian, Lingbin, Cui, Tiangang, Yeo, BT Thomas, Fornito, Alex, Razi, Adeel, and Keith, Jonathan
      4. FoCM
        Deep composition of Tensor-Trains using squared inverse Rosenblatt transports
        Cui, Tiangang, and Dolgov, Sergey


      1. IP
        Semivariogram methods for modeling Whittle–Matérn priors in Bayesian inverse problems
        Brown, Richard D, Bardsley, Johnathan M, and Cui, Tiangang
      2. SISC
        Scalable optimization-based sampling on function space
        Bardsley, Johnathan M, Cui, Tiangang, Marzouk, Youssef M, and Wang, Zheng
      3. A non-linear reverse-engineering method for inferring genetic regulatory networks
        Wu, Siyuan, Cui, Tiangang, Zhang, Xinan, and Tian, Tianhai
      4. Randomized reduced forward models for efficient Metropolis–Hastings MCMC, with application to subsurface fluid flow and capacitance tomography
        Fox, Colin, Cui, Tiangang, and Neumayer, Markus


      1. IJNME
        A posteriori stochastic correction of reduced models in delayed-acceptance MCMC, with application to multiphase subsurface inverse problems
        Cui, Tiangang, Fox, Colin, and O’Sullivan, Michael J
      2. IJUQ
        Using Parallel Markov Chain Monte Carlo to Quantify Uncertainties in Geothermal Reservoir Calibration
        Cui, Tiangang, Fox, Colin, O’Sullivan, Mike, and Nicholls, Geoff
      3. J. Struct. Geol.
        Extraction of high-resolution structural orientations from digital data: A Bayesian approach
        Thiele, Samuel T, Grose, Lachlan, Cui, Tiangang, Cruden, Alexander R, and Micklethwaite, Steven


      1. J. Struct. Biol
        Rapid near-atomic resolution single-particle 3D reconstruction with SIMPLE
        Reboul, Cyril F, Kiesewetter, Simon, Eager, Michael, Belousoff, Matthew, Cui, Tiangang, De Sterck, Hans, Elmlund, Dominika, and Elmlund, Hans


      1. SISC
        Goal-oriented optimal approximations of Bayesian linear inverse problems
        Spantini, Alessio, Cui, Tiangang, Willcox, Karen, Tenorio, Luis, and Marzouk, Youssef
      2. SISC
        Bayesian inverse problems with l_1 priors: a randomize-then-optimize approach
        Wang, Zheng, Bardsley, Johnathan M, Solonen, Antti, Cui, Tiangang, and Marzouk, Youssef M


      1. JCP
        Dimension-independent likelihood-informed MCMC
        Cui, Tiangang, Law, Kody JH, and Marzouk, Youssef M
      2. JHE
        Pragmatic approach to calibrating distributed parameter groundwater models from pumping test data using adaptive delayed acceptance MCMC
        Cui, Tiangang, Ward, Nicholas Dudley, Eveson, Simon, and Lähivaara, Timo
      3. IP
        On dimension reduction in Gaussian filters
        Solonen, Antti, Cui, Tiangang, Hakkarainen, Janne, and Marzouk, Youssef
      4. JCP
        Scalable posterior approximations for large-scale Bayesian inverse problems via likelihood-informed parameter and state reduction
        Cui, Tiangang, Marzouk, Youssef M, and Willcox, Karen E
      5. CMAME
        Multifidelity importance sampling


      1. SISC
        Optimal low-rank approximations of Bayesian linear inverse problems
        Spantini, Alessio, Solonen, Antti, Cui, Tiangang, Martin, James, Tenorio, Luis, and Marzouk, Youssef
      2. IJNME
        Data-driven model reduction for the Bayesian solution of inverse problems
        Cui, Tiangang, Marzouk, Youssef M, and Willcox, Karen E


      1. JHE
        Characterization of parameters for a spatially heterogenous aquifer from pumping test data
        Cui, Tiangang, Dudley Ward, Nicholas, and Kaipio, Jari
      2. IP
        Likelihood-informed dimension reduction for nonlinear inverse problems
        Cui, Tiangang, Martin, James, Marzouk, Youssef M, Solonen, Antti, and Spantini, Alessio


      1. JHE
        Uncertainty quantification for stream depletion tests
        Cui, Tiangang, and Ward, Nicholas Dudley


      1. WRR
        Bayesian calibration of a large-scale geothermal reservoir model by a new adaptive delayed acceptance Metropolis Hastings algorithm
        Cui, T, Fox, C, and O’sullivan, MJ

      book chapters


      1. Optimization methods for inverse problems
        Ye, Nan, Roosta-Khorasani, Farbod, and Cui, Tiangang
      2. A Metropolis-Hastings-Within-Gibbs Sampler for Nonlinear Hierarchical-Bayesian Inverse Problems
        Bardsley, Johnathan M, and Cui, Tiangang

      conference articles


      1. NIPS
        A Stein variational Newton method
        Detommaso, Gianluca, Cui, Tiangang, Marzouk, Youssef, Spantini, Alessio, and Scheichl, Robert
      2. IEEE
        Mathematical modelling of genetic network for regulating the fate determination of hematopoietic stem cells
        Wu, Siyuan, Cui, Tiangang, and Tian, Tianhai
      3. MCQMC
        Network Structure Change Point Detection by Posterior Predictive Discrepancy
        Bian, Lingbin, Cui, Tiangang, Sofronov, Georgy, and Keith, Jonathan