Fetching the paper…
Reading the bibliography…
This paper reviews the gradient sampling methodology for solving nonsmooth, nonconvex optimization problems.
Generalized Gradients and Applications
F. H. Clarke · 1975
Earlier work this paper cites.
Optimization of Lipschitz Continuous Functions
A. A. Goldstein · 1977
Earlier work this paper cites.
Lagrange Multipliers and Subderivatives of Optimal Value Functions in Nonlinear Programming
R. T. Rockafellar · 1982
Earlier work this paper cites.
A Method for Solving Certain Quadratic Programming Problems Arising in Nonsmooth Optimization
K. C. Kiwiel · 1986
Earlier work this paper cites.
Practical Methods of Optimization
R. Fletcher · 1987
Earlier work this paper cites.
Two-Point Step Size Gradient Methods
J. Barzilai and J. M. Borwein · 1988
Earlier work this paper cites.
Optimization and Nonsmooth Analysis
F. H. Clarke · 1990
Earlier work this paper cites.
On the Barzilai and Borwein Choice of Steplength for the Gradient Method
M. Raydan · 1993
Earlier work this paper cites.
The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
M. Raydan · 1997
Earlier work this paper cites.
Variational analysis
R. J.-B. Rockafellar, R. T.and Wets · 1998
Earlier work this paper cites.
The U-Lagrangian of a Convex Function
C. Lemaréchal, F. Oustry, and C. Sagastizábal · 2000
Earlier work this paper cites.
Variational Analysis of Non-Lipschitz Spectral Functions
J. V. Burke and M. L. Overton · 2001
Earlier work this paper cites.
Approximating Subdifferentials by Random Sampling of Gradients
J. V. Burke, A. S. Lewis, and M. L. Overton · 2002
Earlier work this paper cites.
Two Numerical Methods for Optimizing Matrix Stability
J. V. Burke, A. S. Lewis, and M. L. Overton · 2002
Earlier work this paper cites.
Active Sets, Nonsmoothness, and Sensitivity
A. S. Lewis · 2002
Earlier work this paper cites.
A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization
J. V. Burke, A. S. Lewis, and M. L. Overton · 2005
Cited alongside, same era.
On the Barzilai-Borwein Method
R. Fletcher · 2005
Cited alongside, same era.
A VU-Algorithm for Convex Minimization
R. Mifflin and C. Sagastizábal · 2005
Cited alongside, same era.
HIFOO - a MATLAB package for fixed-order controller design and H ∞ H_{\infty} optimization
J. V. Burke, D. Henrion, A. S. Lewis, and M. L. Overton · 2006
Cited alongside, same era.
Spectral Projected Subgradient with a Momentum Term for the Lagrangean Dual Approach
A. Crema, M. Loreto, and M. Raydan · 2007
Cited alongside, same era.
Convergence of the Gradient Sampling Algorithm for Nonsmooth Nonconvex Optimization
K. C. Kiwiel · 2007
Cited alongside, same era.
On the Differentiability Check in Gradient Sampling Methods
E. S. Helou, S. A. Santos, and L. E. A. Simões · 2016
Later among the works it cites.
Manifold Sampling for ℓ 1 \ell_{1} Nonconvex Optimization
J. Larson, M. Menickelly, and S. M. Wild · 2016
Later among the works it cites.
Improved Action and Path Synthesis using Gradient Sampling
N. Traft and I. M. Mitchell · 2016
Later among the works it cites.
A. Asl and M. L. Overton · 2017
Later among the works it cites.
A BFGS-SQP method for Nonsmooth, Nonconvex, Constrained Optimization and its Evaluation using Relative Minimization Profiles
F. E. Curtis, T. Mitchell, and M. L. Overton · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Sparsity and Nonconvex Nonsmooth Optimization
Q. Lin · 2009
Cited alongside, same era.
A Nonderivative Version of the Gradient Sampling Algorithm for Nonsmooth Nonconvex Optimization
K. C. Kiwiel · 2010
Cited alongside, same era.
A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization
F. E. Curtis and M. L. Overton · 2012
Cited alongside, same era.
An Adaptive Gradient Sampling Algorithm for Nonsmooth Optimization
F. E. Curtis and X. Que · 2013
Cited alongside, same era.
A Derivative-Free Approximate Gradient Sampling Algorithm for Finite Minimax Problems
W. Hare and J. Nutini · 2013
Cited alongside, same era.
Nonsmooth Optimization via Quasi-Newton Methods
A. S. Lewis and M. L. Overton · 2013
Cited alongside, same era.
F. E. Curtis, D. P. Robinson, and B. Zhou · 2017
Later among the works it cites.
Nonsmooth Variants of Powell’s BFGS Convergence Theorem
J. Guo and A. S. Lewis · 2017
Later among the works it cites.
On the Local Convergence Analysis of the Gradient Sampling Method for Finite Max-Functions
E. S. Helou, S. A. Santos, and L. E. A. Simões · 2017
Later among the works it cites.
A Riemannian Gradient Sampling Algorithm for Nonsmooth Optimization on Manifolds
S. Hosseini and A. Uschmajew · 2017
Later among the works it cites.
Nonsmooth Spectral Gradient Methods for Unconstrained Optimization
M. Loreto, H. Aponte, D. Cores, and M. Raydan · 2017
Later among the works it cites.
Random Gradient-Free Minimization of Convex Functions
Y. Nesterov and V. Spokoiny · 2017
Later among the works it cites.
The Gradient Sampling Algorithm for Directionally Lipschitzian Functions, 2018
J. V. Burke and Q. Lin · 2018
Closest in time.
Stochastic Model-Based Minimization of Weakly Convex Functions, March 2018
D. Davis and D. Drusvyatskiy · 2018
Closest in time.
Stochastic Subgradient Method Converges on Tame Functions, April 2018
D. Davis, D. Drusvyatskiy, S. Kakade, and J. D. Lee · 2018
Closest in time.
Control Synthesis and Classification for Unicycle Dynamics using the Gradient and Value Sampling Particle Filters
A. Estrada and I. M. Mitchell · 2018
Closest in time.