The Library
Browse by Warwick Author
Up a level |
Number of items: 41.
Journal Article
Lie, Han Cheng, Rudolf, Daniel, Sprungk, BjΓΆrn and Sullivan, T. J. (2023) Dimensionβindependent Markov chain Monte Carlo on the sphere. Scandinavian Journal of Statistics, 50 (4). pp. 1818-1858. doi:10.1111/sjos.12653 ISSN 0303-6898.
Pentland, Kamran, Tamborrino, Massimiliano and Sullivan, T. J. (2023) Error bound analysis of the stochastic parareal algorithm. SIAM Journal on Scientific Computing, 45 (5). A2657-A2678. doi:10.1137/22M1533062 ISSN 1064-8275.
Pentland, Kamran, Tamborrino, Massimiliano, Sullivan, T. J., Buchanan, James and Appel, L. C. (2023) GParareal : a time-parallel ODE solver using Gaussian process emulation. Statistics and Computing, 33 (1). 23. doi:10.1007/s11222-022-10195-y ISSN 1573-1375.
Lambley, Hefin and Sullivan, T. J. (2023) An order-theoretic perspective on modes and maximum a posteriori estimation in Bayesian inverse problems. SIAM/ASA Journal on Uncertainty Quantification, 11 (4). pp. 1195-1224. doi:10.1137/22M154243X ISSN 2166-2525.
Hennig, Philipp, Ipsen, Ilse C. F., Mahsereci, Maren and Sullivan, Tim J. (2022) Probabilistic numerical methods - from theory to implementation (Dagstuhl Seminar 21432). Dagstuhl Reports, 11 (9). pp. 102-119. doi:10.4230/DagRep.11.9.102 ISSN 2192-5283.
Lie, Han Cheng, Stahn, Martin and Sullivan, T. J. (2022) Randomised one-step time integration methods for deterministic operator differential equations. Calcolo, 59 (1). 13. doi:10.1007/s10092-022-00457-6 ISSN 0008-0624.
Cockayne, J., Graham, M. M., Oates, C. J., Sullivan, Tim J. and Teymur, O. (2022) Testing whether a learning procedure is calibrated. Journal of Machine Learning Research, 23 (203). pp. 1-36. ISSN 1532-4435.
Ayanbayev, Birzhan, Klebanov, Ilja, Lie, Han Cheng and Sullivan, T. J. (2021) Ξ -convergence of OnsagerβMachlup functionals : I. With applications to maximum a posteriori estimation in Bayesian inverse problems. Inverse Problems, 38 (2). 025005. doi:10.1088/1361-6420/ac3f81 ISSN 1361-6420.
Ayanbayev, Birzhan, Klebanov, Ilja, Lie, Han Cheng and Sullivan, T. J. (2021) Ξ-convergence of OnsagerβMachlup functionals : II. Infinite product measures on Banach spaces. Inverse Problems, 38 (2). 025006. doi:10.1088/1361-6420/ac3f82 ISSN 1361-6420.
Klebanov, Ilja, Sprungk, BjΓΆrn and Sullivan, Tim J. (2021) The linear conditional expectation in Hilbert space. Bernoulli, 27 (4). pp. 2267-2299. doi:10.3150/20-BEJ1308 ISSN 1350-7265.
Wang, Junyang, Cockayne, Jon, Chkrebtii, Oksana, Sullivan, Tim J. and Oates, Chris. J. (2021) Bayesian numerical methods for nonlinear partial differential equations. Statistics and Computing, 31 (5). 55. doi:10.1007/s11222-021-10030-w ISSN 1573-1375.
SchΓ€fer, Florian, Sullivan, T. J. and Owhadi, Houman (2021) Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. Multiscale Modeling & Simulation, 19 (2). pp. 688-730. doi:10.1137/19M129526X ISSN 1540-3459.
Kersting, Hans, Sullivan, T. J. and Hennig, Philipp (2020) Convergence rates of Gaussian ODE filters. Statistics and Computing, 30 (6). pp. 1791-1816. doi:10.1007/s11222-020-09972-4 ISSN 0960-3174.
Bonnet, Luc, Akian, Jean-Luc, Savin, Γric and Sullivan, Tim J. (2020) Adaptive reconstruction of imperfectly observed monotone functions, with applications to uncertainty quantification. Algorithms, 13 (8). e196. doi:10.3390/a13080196 ISSN 1999-4893.
Klebanov, Ilja, Schuster, Ingmar and Sullivan, T. J. (2020) A rigorous theory of conditional mean embeddings. SIAM Journal on Mathematics of Data Science, 2 (3). pp. 583-606. doi:10.1137/19M1305069 ISSN 2577-0187.
Nava-Yazdani, Esfandiar, Hege, Hans-Christian, Sullivan, T. J. and von Tycowicz, Christoph (2020) Geodesic analysis in Kendallβs shape space with epidemiological applications. Journal of Mathematical Imaging and Vision, 62 (4). pp. 549-559. doi:10.1007/s10851-020-00945-w ISSN 0924-9907.
Cockayne, Jon, Oates, Chris J., Sullivan, T. J. and Girolami, Mark (2019) Bayesian probabilistic numerical methods. SIAM Review, 61 (4). pp. 756-789. doi:10.1137/17M1139357 ISSN 0036-1445.
Girolami, M., Ipsen, I. C. F., Oates, C. J., Owen, A. B. and Sullivan, T. J. (2019) Editorial : special edition on probabilistic numerics. Statistics and Computing, 29 (6). pp. 1181-1183. doi:10.1007/s11222-019-09892-y ISSN 0960-3174.
Lie, Han Cheng, Stuart, A. M. and Sullivan, T. J. (2019) Strong convergence rates of probabilistic integrators for ordinary differential equations. Statistics and Computing, 29 (6). pp. 1265-1283. doi:10.1007/s11222-019-09898-6 ISSN 0960-3174.
Oates, C. J. and Sullivan, T. J. (2019) A modern retrospective on probabilistic numerics. Statistics and Computing, 29 (6). pp. 1335-1351. doi:10.1007/s11222-019-09902-z ISSN 0960-3174.
Lie, H. C., Sullivan, T. J. and Teckentrup, A. L. (2018) Random forward models and log-likelihoods in Bayesian inverse problems. SIAM/ASA Journal on Uncertainty Quantification, 6 (4). pp. 1600-1629. doi:10.1137/18M1166523 ISSN 2166-2525.
Lie, Han Cheng and Sullivan, T. J. (2018) Equivalence of weak and strong modes of measures on topological vector spaces. Inverse Problems, 34 (11). 115013. doi:10.1088/1361-6420/aadef2 ISSN 0266-5611.
Lie, Han Cheng and Sullivan, T. J. (2018) Quasi-invariance of countable products of Cauchy measures under non-unitary dilations. Electronic Communications in Probability, 23 . 8. doi:10.1214/18-ECP113 ISSN 1083-589X.
Sullivan, T. J. (2017) Well-posedness of Bayesian inverse problems in quasi-Banach spaces with stable priors. Proceedings in Applied Mathematics and Mechanics, 17 (1). pp. 871-874. doi:10.1002/pamm.201710402 ISSN 1617-7061.
Sullivan, T. J. (2017) Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors. Inverse Problems & Imaging, 11 (5). pp. 857-874. doi:10.3934/ipi.2017040 ISSN 1930-8345.
Owhadi, Houman, Scovel, Clint and Sullivan, T. J. (2015) On the brittleness of Bayesian inference. SIAM Review, 57 (4). pp. 566-582. doi:10.1137/130938633 ISSN 0036-1445.
Owhadi, Houman, Scovel, Clint and Sullivan, Tim J. (2015) Brittleness of Bayesian inference under finite information in a continuous world. Electronic Journal of Statistics, 9 (1). pp. 1-79. doi:10.1214/15-EJS989 ISSN 1935-7524.
Kamga, P-H. T., Li, B., McKerns, M., Nguyen, L. H., Ortiz, M., Owhadi, H. and Sullivan, T. J. (2014) Optimal uncertainty quantification with model uncertainty and legacy data. Journal of the Mechanics and Physics of Solids, 72 . pp. 1-19. doi:10.1016/j.jmps.2014.07.007 ISSN 0022-5096.
Sullivan, T. (2013) Optimal uncertainty quantification for legacy data observations of Lipschitz functions. ESAIM: Mathematical Modelling and Numerical Analysis, Volume 47 (Number 6). pp. 1657-1689. doi:10.1051/m2an/2013083 ISSN 0764-583X.
Rast, L., Sullivan, T. and Tewary, V. K. (2013) Stratified graphene/noble metal systems for low-loss plasmonics applications. Physical Review B (Condensed Matter and Materials Physics), Volume 87 (Number 4). Article number 045428. doi:10.1103/PhysRevB.87.045428 ISSN 1098-0121.
Sullivan, T. and Owhadi, Houman (2012) Distances and diameters in concentration inequalities: from geometry to optimal assignment of sampling resources. International Journal for Uncertainty Quantification, Vol. 2 (No. 1). pp. 21-38. doi:10.1615/Int.J.UncertaintyQuantification.v2.i1.30 ISSN 2152-5080.
Kidane, A., Lashgari, A., Li, B., McKerns, M., Ortiz, M., Owhadi, H., Ravichandran, G., Stalzer, M. and Sullivan, T. (2012) Rigorous model-based uncertainty quantification with application to terminal ballistics, part I : systems with controllable inputs and small scatter. Journal of the Mechanics and Physics of Solids, Vol.60 (No.5). pp. 983-1001. doi:10.1016/j.jmps.2011.12.001 ISSN 0022-5096.
Ortiz, Michael, Theil, Florian, Koslowski, M. and Sullivan, T. (2012) Thermalization of rate-independent processes by entropic regularization. Discrete and Continuous Dynamical Systems - Series S, Vol. 6 (No. 1). pp. 215-233. doi:10.3934/dcdss.2013.6.215 ISSN 1937-1632.
Sullivan, T., Topcu, U., McKerns, M. and Owhadi, H. (2010) Uncertainty quantification via codimension-one partitioning. International Journal for Numerical Methods in Engineering, Vol.85 (No.12). pp. 1499-1521. doi:10.1002/nme.3030 ISSN 0029-5981.
Sullivan, T., Koslowski, M., Theil, Florian and Ortiz, M. (2009) On the behavior of dissipative systems in contact with a heat bath : application to Andrade creep. Journal of the Mechanics and Physics of Solids, Vol.57 (No.7). pp. 1058-1077. doi:10.1016/j.jmps.2009.03.006 ISSN 0022-5096.
Book Item
Lie, Han Cheng, Sullivan, T. J. and Teckentrup, Aretha (2020) Error bounds for some approximate posterior measures in Bayesian inference. In: Vermolen, F. J. and Vuik, C., (eds.) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, 139 . Springer International Publishing, pp. 275-283. ISBN 9783030558734
Oates, C.J., Cockayne, J., Prangle, D., Sullivan, T. J. and Girolami, M. (2020) Optimality criteria for probabilistic numerical methods. In: Hickernell, Fred J. and Kritzer, Peter , (eds.) Multivariate Algorithms and Information-Based Complexity. Radon Series on Computational and Applied Mathematics (27). De Gruyter, pp. 65-88. ISBN 9783110633115
Scovel, Clint, Sullivan, Tim J. and Owhadi, Houman (2012) What is UQ? In: Theory, Simulation, and Computation Directorate Science Highlights 2012. Los Alamon, New Mexico: TSC publications, pp. 26-28.
Theil, Florian, Sullivan, Tim J. and Koslovski, Marisol (2010) Dissipative systems in contact with a heat bath : application to Andrade Creep. In: Hackl, K. (Klaus), (ed.) IUTAM symposium on variational concepts with applications to the mechanics of materials : Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22-26, 2008. IUTAM Bookseries, Volume 21 . Dordrecht ; New York: Springer, pp. 261-272. ISBN 9789048191956
Conference Item
Teymur, Onur, Calderhead, Ben, Lie , Hancheng and Sullivan, T. J. (2018) Implicit probabilistic integrators for ODEs. In: NIPS'18 : Neural Information Processing Systems 2018, Canada, 3-8 Dec 2018. Published in: Proceedings of the 32nd International Conference on Neural Information Processing Systems pp. 7255-7264. doi:10.5555/3327757.3327827
Cockayne, Jon, Oates, Chris J., Sullivan, T. J. and Girolami, Mark (2017) Probabilistic numerical methods for PDE-constrained Bayesian inverse problems. In: 36th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Ghent, Belgium, 10-15 Jul 2016. Published in: AIP Conference Proceedings, 1853 (1). doi:10.1063/1.4985359 ISSN 0094-243X.
This list was generated on Fri Mar 29 06:58:19 2024 GMT.