Ryan Murray

ELGINDI, T. M., MURRAY, R. W., & SAID, A. R. (2025, September 15). On the long-time behavior of scale-invariant solutions to the 2d Euler equation and applications. Annales Scientifiques De l École Normale Supérieure, Vol. 9. https://doi.org/10.24033/asens.2621

Morris, R., & Murray, R. (2025, November 24). Uniform convergence of adversarially robust classifiers. European Journal of Applied Mathematics. https://doi.org/10.1017/S0956792525100223

Murray, R., & Wilcox, G. (2024, February 6). Corrigendum to “Non-linear singularity formation for circular vortex sheets.” Quarterly of Applied Mathematics, Vol. 2. https://doi.org/10.1090/qam/1688

Molina-Fructuoso, M., & Murray, R. (2024, January 1). Eikonal depth: An optimal control approach to statistical depths. Foundations of Data Science, Vol. 4. https://doi.org/10.3934/fods.2024016

Murray, R., & Wilcox, G. (2023, May 3). Non-linear singularity formation for circular vortex sheets. Quarterly of Applied Mathematics, Vol. 5. https://doi.org/10.1090/qam/1659

Trillos, N. G., Murray, R., & Thorpe, M. (2023, November 27). Rates of convergence for regression with the graph poly-Laplacian. Sampling Theory Signal Processing and Data Analysis, Vol. 21. https://doi.org/10.1007/s43670-023-00075-5

Bungert, L., Trillos, N. G., & Murray, R. (2023, January 13). The geometry of adversarial training in binary classification. Information and Inference A Journal of the IMA, Vol. 1. https://doi.org/10.1093/imaiai/iaac029

Adversarial classification: Necessary conditions and geometric flows. (2022). Journal of Machine Learning Research, 23(187), 1–38.

Trillos, N. G., Murray, R., & Thorpe, M. (2022, April 8). From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds. Archive for Rational Mechanics and Analysis, Vol. 4. https://doi.org/10.1007/s00205-022-01770-8

Molina-Fructuoso, M., & Murray, R. (2022, May 10). Tukey Depths and Hamilton--Jacobi Differential Equations. SIAM Journal on Mathematics of Data Science, Vol. 4, pp. 604–633. https://doi.org/10.1137/21M1411998

Swenson, B., Murray, R., Poor, H. V., & Kar, S. (2021, September 10). Distributed Gradient Flow: Nonsmoothness, Nonconvexity, and Saddle Point Evasion. IEEE Transactions on Automatic Control, Vol. 67, pp. 3949–3964. https://doi.org/10.1109/TAC.2021.3111853

Murray, R. W., & Fokoué, E. (2021, January 20). Dropout Fails to Regularize Nonparametric Learners. Journal of Statistical Theory and Practice, Vol. 15. https://doi.org/10.1007/s42519-020-00158-9

Bressan, A., & Murray, R. (2020, April 8). On self-similar solutions to the incompressible Euler equations. Journal of Differential Equations, Vol. 269, pp. 5142–5203. https://doi.org/10.1016/j.jde.2020.04.005

Swenson, B., Murray, R., & Kar, S. (2020, October 1). Regular potential games. Games and Economic Behavior, Vol. 124, pp. 432–453. https://doi.org/10.1016/j.geb.2020.09.005

Trillos, N. G., & Murray, R. W. (2020). y A Maximum Principle Argument for the Uniform Convergence of Graph Laplacian Regressors. SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE, 2(3), 705–739. https://doi.org/10.1137/19M1245372

Murray, R., & Young, G. (2019, December 3). Neutral competition in a deterministically changing environment: Revisiting continuum approaches. Journal of Theoretical Biology, Vol. 486. https://doi.org/10.1016/j.jtbi.2019.110104

Murray, R., Swenson, B., & Kar, S. (2019, May 24). Revisiting Normalized Gradient Descent: Fast Evasion of Saddle Points. IEEE Transactions on Automatic Control, Vol. 64, pp. 4818–4824. https://doi.org/10.1109/TAC.2019.2914998

Murray, R., & Palladino, M. (2018, October 27). A model for system uncertainty in reinforcement learning. Systems & Control Letters, Vol. 122, pp. 24–31. https://doi.org/10.1016/j.sysconle.2018.09.011

Swenson, B., Murray, R., Kar, S., & Poor, H. V. (2018, October 1). Best-Response Dynamics in Continuous Potential Games: Non-Convergence to Saddle Points. 2018 52nd Asilomar Conference on Signals, Systems, and Computers. https://doi.org/10.1109/acssc.2018.8645541

Swenson, B., Murray, R., & Kar, S. (2018, January 1). On Best-Response Dynamics in Potential Games. SIAM Journal on Control and Optimization, Vol. 56, pp. 2734–2767. https://doi.org/10.1137/17m1139461

Trillos, N. G., & Murray, R. (2017, July 20). A new analytical approach to consistency and overfitting in regularized empirical risk minimization. European Journal of Applied Mathematics, Vol. 28, pp. 886–921. https://doi.org/10.1017/s0956792517000201

Murray, R. W., & Pego, R. L. (2017, January 1). Cutoff estimates for the linearized Becker–Döring equations. Communications in Mathematical Sciences, Vol. 15, pp. 1685–1702. https://doi.org/10.4310/cms.2017.v15.n6.a10

Leoni, G., & Murray, R. (2017, October 25). Local minimizers and slow motion for the mass preserving Allen–Cahn equation in higher dimensions. Proceedings of the American Mathematical Society, Vol. 147, pp. 5167–5182. https://doi.org/10.1090/proc/13988

Murray, R. W., & Pego, R. L. (2016, January 1). Algebraic Decay to Equilibrium for the Becker--Döring Equations. SIAM Journal on Mathematical Analysis, Vol. 48, pp. 2819–2842. https://doi.org/10.1137/15m1038578

Leoni, G., & Murray, R. (2015, September 5). Second-Order Γ-limit for the Cahn–Hilliard Functional. Archive for Rational Mechanics and Analysis, Vol. 219, pp. 1383–1451. https://doi.org/10.1007/s00205-015-0924-4