Ryan Murray
RM
Education
PhD Mathematics Carnegie Mellon University 2016
Area(s) of Expertise
Calculus of variations, partial differential equations, theory of statistics and machine learning, control theory, optimization, game theory, continuum mechanics, applied analysis.
Publications
- EIKONAL DEPTH: AN OPTIMAL CONTROL APPROACH TO STATISTICAL DEPTHS , FOUNDATIONS OF DATA SCIENCE (2024)
- NON-LINEAR SINGULARITY FORMATION FOR CIRCULAR VORTEX SHEETS (vol 82, pg 81, 2024) , QUARTERLY OF APPLIED MATHEMATICS (2024)
- NON-LINEAR SINGULARITY FORMATION FOR CIRCULAR VORTEX SHEETS , QUARTERLY OF APPLIED MATHEMATICS (2023)
- Rates of convergence for regression with the graph poly-Laplacian , SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS (2023)
- The geometry of adversarial training in binary classification , INFORMATION AND INFERENCE-A JOURNAL OF THE IMA (2023)
- Adversarial classification: Necessary conditions and geometric flows , Journal of Machine Learning Research (2022)
- From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds , ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2022)
- Tukey Depths and Hamilton-Jacobi Differential Equations , SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE (2022)
- Distributed Gradient Flow: Nonsmoothness, Nonconvexity, and Saddle Point Evasion , IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2021)
- Dropout Fails to Regularize Nonparametric Learners , JOURNAL OF STATISTICAL THEORY AND PRACTICE (2021)