Tim Sullivan

Publications

  1. E. Nava-Yazdani, H.-C. Hege, C. von Tycowicz & T. J. Sullivan. “A shape trajectories approach to longitudinal statistical analysis.” ZIB Report No. 18-42, 2018. http://nbn-resolving.de/urn:nbn:de:0297-zib-69759 BibTeX
  2. H. Kersting, T. J. Sullivan & P. Hennig. “Convergence rates of Gaussian ODE filters.” arXiv Preprint, 2018. arXiv:1807.09737 BibTeX
  3. O. Teymur, H. C. Lie, T. J. Sullivan & B. Calderhead. “Implicit probabilistic integrators for ODEs” in Advances in Neural Information Processing Systems 31 (NIPS 2018), ed. N. Cesa-Bianchi, K. Grauman, H. Larochelle, & H. Wallach. 2018. Accepted for publication. arXiv:1805.07970 BibTeX
  4. H. C. Lie, T. J. Sullivan & A. L. Teckentrup. “Random forward models and log-likelihoods in Bayesian inverse problems.” SIAM/ASA Journal on Uncertainty Quantification, 2018. Accepted for publication. arXiv:1712.05717 BibTeX
  5. H. C. Lie & T. J. Sullivan. “Equivalence of weak and strong modes of measures on topological vector spaces.” Inverse Problems 34(11), 2018. doi:10.1088/1361-6420/aadef2 arXiv:1708.02516 BibTeX
  6. H. C. Lie & T. J. Sullivan. “Quasi-invariance of countable products of Cauchy measures under non-unitary dilations.” Electronic Communications in Probability 23(8):1–6, 2018. doi:10.1214/18-ECP113 arXiv:1611.10289 BibTeX
  7. I. Schuster, P. G. Constantine & T. J. Sullivan. “Exact active subspace Metropolis–Hastings, with applications to the Lorenz-96 system.” arXiv Preprint, 2017. arXiv:1712.02749 BibTeX
  8. T. J. Sullivan. “Well-posedness of Bayesian inverse problems in quasi-Banach spaces with stable priors” in 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar 2017, ed. C. Könke and C. Trunk. Proceedings in Applied Mathematics and Mechanics, 17(1):871–874, 2017. doi:10.1002/pamm.201710402 arXiv:1710.05610 BibTeX
  9. F. Schäfer, T. J. Sullivan & H. Owhadi. “Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity.” arXiv Preprint, 2017. arXiv:1706.02205 BibTeX
  10. H. C. Lie, A. M. Stuart & T. J. Sullivan. “Strong convergence rates of probabilistic integrators for ordinary differential equations.” arXiv Preprint, 2017. arXiv:1703.03680 BibTeX
  11. J. Cockayne, C. Oates, T. J. Sullivan & M. Girolami. “Bayesian Probabilistic Numerical Methods.” arXiv Preprint, 2017. arXiv:1702.03673 BibTeX
  12. J. Cockayne, C. Oates, T. J. Sullivan & M. Girolami. “Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse Problems” in Proceedings of the 36th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, ed. G. Verdoolaege. AIP Conference Proceedings, 1853:060001-1–060001-8, 2017. doi:10.1063/1.4985359 arXiv:1701.04006 BibTeX
  13. T. J. Sullivan. “Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors.” Inverse Problems and Imaging 11(5):857–874, 2017. doi:10.3934/ipi.2017040 arXiv:1605.05898 BibTeX
  14. J. Cockayne, C. J. Oates, T. J. Sullivan & M. Girolami. “Probabilistic meshless methods for partial differential equations and Bayesian inverse problems.” arXiv Preprint, 2016. arXiv:1605.07811 BibTeX
  15. T. J. Sullivan. Introduction to Uncertainty Quantification, volume 63 of Texts in Applied Mathematics. Springer, 2015. ISBN 978-3-319-23394-9 (hardcover), 978-3-319-23395-6 (e-book). doi:10.1007/978-3-319-23395-6 BibTeX
  16. H. Owhadi, C. Scovel & T. J. Sullivan. “On the brittleness of Bayesian inference.” SIAM Review 57(4):566–582, 2015. doi:10.1137/130938633 arXiv:1308.6306 BibTeX
  17. H. Owhadi, C. Scovel & T. J. Sullivan. “Brittleness of Bayesian inference under finite information in a continuous world.” Electronic Journal of Statistics 9(1):1–79, 2015. doi:10.1214/15-EJS989 arXiv:1304.6772 BibTeX
  18. T. J. Sullivan. “Optimal Uncertainty Quantification for Hypervelocity Impact” in Uncertainty Quantification in Computational Fluid Dynamics, 15–19 September 2014, von Karman Institute for Fluid Dynamics, Belgium, and 2–3 June 2014, Stanford University, United States. STO-AVT-VKI Lecture Series, AVT-235, 2014. BibTeX
  19. P.-H. T. Kamga, B. Li, M. McKerns, L. H. Nguyen, M. Ortiz, H. Owhadi & T. J. Sullivan. “Optimal uncertainty quantification with model uncertainty and legacy data.” Journal of the Mechanics and Physics of Solids 72:1–19, 2014. doi:10.1016/j.jmps.2014.07.007 BibTeX
  20. T. J. Sullivan, M. McKerns, M. Ortiz, H. Owhadi & C. Scovel. “Optimal uncertainty quantification: Distributional robustness versus Bayesian brittleness.” ASME Journal of Medical Devices 7(4):040920, 2013. doi:10.1115/1.4025786 BibTeX
  21. T. J. Sullivan, M. McKerns, D. Meyer, F. Theil, H. Owhadi & M. Ortiz. “Optimal uncertainty quantification for legacy data observations of Lipschitz functions.” ESAIM. Mathematical Modelling and Numerical Analysis 47(6):1657–1689, 2013. doi:10.1051/m2an/2013083 arXiv:1202.1928 BibTeX
  22. H. Owhadi, C. Scovel, T. J. Sullivan, M. McKerns & M. Ortiz. “Optimal Uncertainty Quantification.” SIAM Review 55(2):271–345, 2013. doi:10.1137/10080782X arXiv:1009.0679 BibTeX
  23. L. Rast, T. J. Sullivan & V. K. Tewary. “Stratified graphene/noble metal systems for low-loss plasmonics applications.” Physical Review B 87(4):045428, 2013. doi:10.1103/PhysRevB.87.045428 arXiv:1301.5620 BibTeX
  24. T. J. Sullivan, M. Koslowski, F. Theil & M. Ortiz. “Thermalization of rate-independent processes by entropic regularization.” Discrete and Continuous Dynamical Systems. Series S 6(1):215–233, 2013. doi:10.3934/dcdss.2013.6.215 arXiv:1209.3619 BibTeX
  25. T. J. Sullivan & H. Owhadi. “Distances and diameters in concentration inequalities: from geometry to optimal assignment of sampling resources.” International Journal for Uncertainty Quantification 2(1):21–38, 2012. doi:10.1615/Int.J.UncertaintyQuantification.v2.i1.30 BibTeX
  26. M. Ortiz, M. McKerns, H. Owhadi, T. J. Sullivan & C. Scovel. “Optimal Uncertainty Quantification” in Advanced Computational Engineering, 12–18 February 2012, ed. O. Allix, C. Carstensen, J. Schröder & P. Wriggers. Oberwolfach Reports 9(1)2012. doi:10.4171/OWR/2012/09 BibTeX
  27. T. J. Sullivan, M. Koslowski, F. Theil & M. Ortiz. “Thermalization of rate-independent processes by entropic regularization” in Interplay of Analysis and Probability in Physics, 22–28 January 2012, ed. W. König, P. Mörters, M. Peletier & J. Zimmer. Oberwolfach Reports 9(1)2012. doi:10.4171/OWR/2012/06 BibTeX
  28. M. Adams, A. Lashgari, B. Li, M. McKerns, J. M. Mihaly, M. Ortiz, H. Owhadi, A. J. Rosakis, M. Stalzer & T. J. Sullivan. “Rigorous Model-Based Uncertainty Quantification with Application to Terminal Ballistics. Part II: Systems with Uncontrollable Inputs and Large Scatter.” Journal of the Mechanics and Physics of Solids 60(5):1002–1019, 2012. doi:10.1016/j.jmps.2011.12.002 BibTeX
  29. A. A. Kidane, A. Lashgari, B. Li, M. McKerns, M. Ortiz, H. Owhadi, G. Ravichandran, M. Stalzer & T. J. Sullivan. “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 60(5):983–1001, 2012. doi:10.1016/j.jmps.2011.12.001 BibTeX
  30. C. Scovel, H. Owhadi, T. J. Sullivan, M. McKerns & M. Ortiz. “What is UQ?” in ADTSC Science Highlights 2012. Los Alamos National Laboratory, LA-UR 12-20429:26–27, 2012. BibTeX
  31. M. M. McKerns, L. Strand, T. J. Sullivan, A. Fang & M. A. G. Aivazis. “Building a Framework for Predictive Science” in Proceedings of the 10th Python in Science Conference (SciPy 2011), June 2011, ed. S. van der Walt & J. Millman. 67–78, 2011. arXiv:1202.1056 BibTeX
  32. T. J. Sullivan, U. Topcu, M. McKerns & H. Owhadi. “Uncertainty quantification via codimension-one partitioning.” International Journal for Numerical Methods in Engineering 85(12):1499–1521, 2011. doi:10.1002/nme.3030 BibTeX
  33. M. McKerns, H. Owhadi, C. Scovel, T. J. Sullivan & M. Ortiz. “The optimal uncertainty algorithm in the mystic framework.” Caltech CACR Technical Report No. 523, August 2010. arXiv:1202.1055 BibTeX
  34. T. J. Sullivan & F. Theil. “On gradient descents in random wiggly energies” in Microstructures in Solids: From Quantum Models to Continua, 14–20 March 2010, ed. A. Mielke & M. Ortiz. Oberwolfach Reports 7(1):739–741, 2010. doi:10.4171/OWR/2010/14 BibTeX
  35. T. J. Sullivan, M. McKerns, U. Topcu & H. Owhadi. “Uncertainty quantification via codimension-one domain partitioning and a new concentration inequality.” Procedia — Social and Behavioral Sciences 2(6):7751–7752, 2010. doi:10.1016/j.sbspro.2010.05.211 BibTeX
  36. F. Theil, T. J. Sullivan, M. Koslowski & M. Ortiz. “Dissipative systems in contact with a heat bath: Application to Andrade creep” in Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Bochum, Germany, September 22–26, 2008, ed. K. Hackl. IUTAM Bookseries 21:261–272, 2010. doi:10.1007/978-90-481-9195-6_20 BibTeX
  37. T. J. Sullivan, M. Koslowski, F. Theil & M. Ortiz. “On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep.” Journal of the Mechanics and Physics of Solids 57(7):1058–1077, 2009. doi:10.1016/j.jmps.2009.03.006 BibTeX
  38. T. J. Sullivan & F. Theil. “Deterministic stick-slip dynamics in a one-dimensional random potential” in Analysis and Numerics for Rate-Independent Processes, 25 February–3 March 2007, ed. G. Dal Maso, G. Francfort, A. Mielke & T. Roubíček. Oberwolfach Reports 4(1):652–655, 2007. doi:10.4171/OWR/2007/11 BibTeX