Publications

Preprints

D.Calvetti, M.M.Dunlop, E.Somersalo, A.M.Stuart, Iterative Updating of Model Error for Bayesian Inversion (Submitted)
[Preprint] [BibTex]

M.M.Dunlop, C.M.Elliott, V.H.Hoang, A.M.Stuart, Bayesian Formulations of Multidimensional Barcode Inversion (Submitted)
[Preprint] [BibTex]

C.Schillings, A.M.Stuart, Convergence Analysis of the Ensemble Kalman Filter for Inverse Problems: the Noisy Case (Submitted)
[Preprint] [BibTex]

A.L.Bertozzi, X.Luo, A.M.Stuart, K.C.Zygalakis, Uncertainty Quantification in the Classification of High Dimensional Data (Submitted)
[Preprint] [BibTex]

H.C.Lie, A.M.Stuart, T.J.Sullivan, Strong convergence rates of probabilistic integrators for ordinary differential equations (Submitted)
[Preprint] [BibTex]

J. Kuntz, M. Ottobre, A.M. Stuart, Non-stationary phase of the MALA algorithm (Submitted)
[Preprint] [BibTex]

D. Kelly and A.M. Stuart, Ergodicity and Accuracy of Optimal Particle Filters for Bayesian Data Assimilation (Submitted)
[Preprint] [BibTex]

Y. Lu, A.M. Stuart, H. Weber, Gaussian Approximations for Probability Measures on Rd (Submitted)
[Preprint] [BibTex]

D. Sanz-Alonso and A.M. Stuart, Gaussian approximations of small noise diffusions in Kullback-Leibler divergence. (Communications in Mathematical Sciences, To Appear))
[Preprint] [BibTex]

Y. Lu, A.M. Stuart and H. Weber, Gaussian approximations for transition paths in molecular dynamics. (Submitted)
[Preprint] [BibTex]

A.M.Stuart and A.L.Teckentrup, Posterior consistency for Gaussian process approximations of Bayesian posterior distributions (Mathematics of Computation, To Appear).
[Preprint] [BibTex]

C.-E. Brehier, M. Hairer and A.M.Stuart, Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization. (Journal of Computational Mathematics, To Appear).
[Preprint] [BibTex]

M.A. Iglesias, K. Lin, S. Lu, A.M. Stuart, Filter based methods for statistical linear inverse problems. (Communications in Math. Sciences, To Appear).
[Preprint] [BibTex]

S. Agapiou, O. Papaspiliopoulos, D. Sanz-Alonso, A. M. Stuart, Importance sampling: computational complexity and intrinsic dimension. (Statistical Science, To Appear).
[Preprint] [BibTex]

M. Ottobre, A.M. Stuart and J. Kuntz, Diffusion limit for the random walk Metropolis algorithm out of stationarity (Submitted)
[Preprint] [BibTex]