Publications listed in chronological order.

• Li, K., Damle, A. (2024) “Automating Variational Differentiation,” https://arxiv.org/abs/2310.0945
• Flynn, M., Wang, A., Alvarez, D.E., De Sa, C., Damle, A. (2024) “STAT: Shrinking Transformers After Training,” arXiv:2406.00061
• Akyildiz, O.D., Girolami, M., Stuart, A, Vadeboncoeur, A. (2024) “Efficient Prior Calibration From Indirect Data,” arXiv:2405.17955v1
• Wu, J., Levine, M.E., Schneider, T., Stuart, A. (2024) “Learning About Structural Errors in Models of Complex Dynamical Systems,” arXiv:2401.00035
• Yu, A., Mahoney, M.W., Erichson, B. (2024) “There is HOPE to Avoid HiPPOs for Long-memory State Space Models,” arXiv:2405.13975
• Boullé, N., Colbrook, M.J. (2024) “Multiplicative Dynamic Mode Decomposition,” arXiv:2405.05334
• Damle, A., Glas, S., Townsend, A., Yu, A. (2024) “How to reveal the rank of a matrix?,” arXiv:2405.04330
• Persson, D., Boullé, N., Kressner, D. (2024) “Randomized Nyström approximation of non-negative self-adjoint operators,” arXiv:2404.00960
• Amsel, N., Chen, T., Keles, F.D., Halikias, D., Musco, C., Musco, C. (2024) “Fixed-sparsity matrix approximation from matrix-vector products,” arXiv:2402.09379
• Carrillo, J.A., Hoffman, F., Stuart, A.M., Vaes, U. (2024) “Statistical Accuracy of Approximate Filtering Methods,” arXiv:2402.01593
• Goldshlager, G.., Abrahamsen, N., Stuart, A, Lin, L. (2024) “A Kaczmarz-inspired approach to accelerate the optimization of neural network wavefunctions,” arXiv:2401.10190
• Colbrook, M.J., Li, Q., Raut, R.V. and Townsend, A., (2024) “Beyond expectations: residual dynamic mode decomposition and variance for stochastic dynamical systems,” Nonlinear Dynamics, 112(3), pp.2037-2061.
• Liu, T.J.B., Boullé, N., Sarfati, R., Earls, C.J. (2024) “LLMs learn governing principles of dynamical systems, revealing an in-context neural scaling law,” ICML Workshop on In-Context Learning.
• Boullé, N., Halikias, D., Otto, S.E., Townsend, A. (2024) “Operator learning without the adjoint,” arXiv:2401.17739
• Boullé, N., Colbrook, M.J. (2024) “On the Convergence of Hermitian Dynamic Mode Decomposition,” arXiv:2401.03192
• Boullé, N., Townsend, A. (2024) “A Mathematical Guide to Operator Learning,” Handbook of Numerical Analysis, 25, p. 83-125.
• Laakmann, F., Boullé, N. (2024) “Bifurcation analysis of a two-dimensional magnetic Rayleigh-Bénard problem,” Physica D: Nonlinear Phenomena, 467, 134270.
• Wang, C., Townsend, A. (2023) “Operator learning for hyperbolic partial differential equations,” arXiv:2312.17489
• Boullé, N., Herremans, A., Huybrechs, D. (2023) “Multivariate rational approximation of functions with curves of singularities,” arXiv:2312.13202
• Armstrong, R., Buzali, A., and Damle, A. (2023) “Structure-Aware Analyses and Algorithms for Interpolative Decompositions,” https://arxiv.org/abs/2310.0945