Ryan Murray

Murray, R., & Wilcox, G. (2024, February 6). NON-LINEAR SINGULARITY FORMATION FOR CIRCULAR VORTEX SHEETS (vol 82, pg 81, 2024). QUARTERLY OF APPLIED MATHEMATICS, Vol. 2. https://doi.org/10.1090/qam/1688

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

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.

Swenson, B., Murray, R., Poor, H. V., & Kar, S. (2022). Distributed Gradient Flow: Nonsmoothness, Nonconvexity, and Saddle Point Evasion. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 67(8), 3949–3964. https://doi.org/10.1109/TAC.2021.3111853

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). Tukey Depths and Hamilton-Jacobi Differential Equations. SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE, 4(2), 604–633. https://doi.org/10.1137/21M1411998

Murray, R. W., & Fokoue, E. (2021). Dropout Fails to Regularize Nonparametric Learners. JOURNAL OF STATISTICAL THEORY AND PRACTICE, 15(2). https://doi.org/10.1007/s42519-020-00158-9

Murray, R., & Young, G. (2020). Neutral competition in a deterministically changing environment: Revisiting continuum approaches. JOURNAL OF THEORETICAL BIOLOGY, 486. https://doi.org/10.1016/j.jtbi.2019.110104

Bressan, A., & Murray, R. (2020). On self-similar solutions to the incompressible Euler equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 269(6), 5142–5203. https://doi.org/10.1016/j.jde.2020.04.005

Swenson, B., Murray, R., & Kar, S. (2020). Regular potential games. Games and Economic Behavior, 124, 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

Leoni, G., & Murray, R. (2019). Local minimizers and slow motion for the mass preserving Allen–Cahn equation in higher dimensions. Proceedings of the American Mathematical Society, 147(12), 5167–5182. https://doi.org/10.1090/proc/13988

Murray, R., Swenson, B., & Kar, S. (2019). Revisiting Normalized Gradient Descent: Fast Evasion of Saddle Points. IEEE Transactions on Automatic Control, 64(11), 4818–4824. https://doi.org/10.1109/TAC.2019.2914998

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

Swenson, B., Murray, R., Kar, S., & Poor, H. V. (2018, October). 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). On Best-Response Dynamics in Potential Games. SIAM Journal on Control and Optimization, 56(4), 2734–2767. https://doi.org/10.1137/17m1139461

TRILLOS, N. I. C. O. L. Á. S. G. A. R. C. Í. A., & MURRAY, R. Y. A. N. (2017). A new analytical approach to consistency and overfitting in regularized empirical risk minimization. European Journal of Applied Mathematics, 28(6), 886–921. https://doi.org/10.1017/s0956792517000201

Murray, R. W., & Pego, R. L. (2017). Cutoff estimates for the linearized Becker–Döring equations. Communications in Mathematical Sciences, 15(6), 1685–1702. https://doi.org/10.4310/cms.2017.v15.n6.a10

Murray, R. W., & Pego, R. L. (2016). Algebraic Decay to Equilibrium for the Becker--Döring Equations. SIAM Journal on Mathematical Analysis, 48(4), 2819–2842. https://doi.org/10.1137/15m1038578

Leoni, G., & Murray, R. (2015). Second-Order Γ-limit for the Cahn–Hilliard Functional. Archive for Rational Mechanics and Analysis, 219(3), 1383–1451. https://doi.org/10.1007/s00205-015-0924-4