Works (19)
Updated: May 22nd, 2023 08:38
2023 article
The geometry of adversarial training in binary classification
Bungert, L., Trillos, N. G., & Murray, R. (2023, January 13). INFORMATION AND INFERENCE-A JOURNAL OF THE IMA, Vol. 1.
author keywords: adversarial training; nonlocal perimeter; nonlocal total variation; existence of solutions; regularity
arxiv.org (repository)
Sources: Web Of Science, ORCID
Added: February 6, 2023
2022 journal article
Adversarial classification: Necessary conditions and geometric flows
Journal of Machine Learning Research, 23(187), 1–38.
Source: ORCID
Added: November 10, 2022
2022 journal article
Distributed Gradient Flow: Nonsmoothness, Nonconvexity, and Saddle Point Evasion
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 67(8), 3949–3964.
author keywords: Optimization; Convergence; Linear programming; Manifolds; Standards; Heuristic algorithms; Trajectory; Distributed optimization; gradient descent; gradient flow; nonconvex optimization; nonsmooth optimization; saddle point; stable manifold
Sources: ORCID, Web Of Science
Added: July 28, 2022
2022 article
From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds
Trillos, N. G., Murray, R., & Thorpe, M. (2022, April 8). ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, Vol. 4.
Sources: Web Of Science, ORCID
Added: April 25, 2022
2022 journal article
Tukey Depths and Hamilton-Jacobi Differential Equations
SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE, 4(2), 604–633.
author keywords: statistical depths; robust statistics; Hamilton-Jacobi equations; viscosity solutions
Sources: ORCID, Web Of Science
Added: May 12, 2022
2021 journal article
Dropout Fails to Regularize Nonparametric Learners
JOURNAL OF STATISTICAL THEORY AND PRACTICE, 15(2).
author keywords: Dropout; Nonparametric statistics; Deep learning; Regularization
Sources: ORCID, Web Of Science
Added: January 21, 2021
2020 journal article
Neutral competition in a deterministically changing environment: Revisiting continuum approaches
JOURNAL OF THEORETICAL BIOLOGY, 486.
Sources: Web Of Science, ORCID
Added: February 10, 2020
2020 journal article
On self-similar solutions to the incompressible Euler equations
JOURNAL OF DIFFERENTIAL EQUATIONS, 269(6), 5142–5203.
Sources: Web Of Science, ORCID
Added: June 29, 2020
2020 journal article
Regular potential games
Games and Economic Behavior, 124, 432–453.
author keywords: Game theory; Potential games; Generic games; Regular equilibria; Multi-agent systems
Source: ORCID
Added: October 2, 2020
2020 journal article
y A Maximum Principle Argument for the Uniform Convergence of Graph Laplacian Regressors
SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE, 2(3), 705–739.
author keywords: empirical risk minimization; graph Laplacian; discrete to continuum; nonparametric regression
Sources: ORCID, Web Of Science
Added: September 13, 2020
2019 journal article
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.
author keywords: Second-order Gamma-convergence; rearrangement; Cahn-Hilliard functional; slow motion; Allen-Cahn equation; Cah-Hilliard equation
Source: ORCID
Added: December 6, 2019
2019 journal article
Revisiting Normalized Gradient Descent: Fast Evasion of Saddle Points
IEEE Transactions on Automatic Control, 64(11), 4818–4824.
author keywords: Gradient methods; machine learning; nonconvex optimization; optimization
Source: ORCID
Added: December 6, 2019
2018 journal article
A model for system uncertainty in reinforcement learning
Systems & Control Letters, 122, 24–31.
author keywords: Dynamic programming; Learning systems; Machine learning; Adaptive control
Source: ORCID
Added: December 6, 2019
2018 article
Best-Response Dynamics in Continuous Potential Games: Non-Convergence to Saddle Points
Swenson, B., Murray, R., Kar, S., & Poor, H. V. (2018, October). 2018 52nd Asilomar Conference on Signals, Systems, and Computers.
Source: ORCID
Added: December 6, 2019
2018 journal article
On Best-Response Dynamics in Potential Games
SIAM Journal on Control and Optimization, 56(4), 2734–2767.
author keywords: game theory; learning; best-response dynamics; fictitious play; potential games; convergence rate
Source: ORCID
Added: December 6, 2019
2017 journal article
A new analytical approach to consistency and overfitting in regularized empirical risk minimization
European Journal of Applied Mathematics, 28(6), 886–921.
author keywords: Overfitting; empirical risk minimization; graph total variation; discrete to continuum; classification
Source: ORCID
Added: December 6, 2019
2017 journal article
Cutoff estimates for the linearized Becker–Döring equations
Communications in Mathematical Sciences, 15(6), 1685–1702.
author keywords: coagulation-fragmentation equations; spectrum; cutoff estimates
Source: ORCID
Added: December 6, 2019
2016 journal article
Algebraic Decay to Equilibrium for the Becker--Döring Equations
SIAM Journal on Mathematical Analysis, 48(4), 2819–2842.
author keywords: coagulation-fragmentation equations; rate of decay to equilibrium; interpolation inequalities
Source: ORCID
Added: December 6, 2019
2015 journal article
Second-Order Γ-limit for the Cahn–Hilliard Functional
Archive for Rational Mechanics and Analysis, 219(3), 1383–1451.
Source: ORCID
Added: December 6, 2019
