Adrian S. Lewis

85 papers B 1Journal 83Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Minimal enclosing balls via geodesics. CoRR Ariel Goodwin, Adrian S. Lewis
2025	J	`jnl`	Convex optimization on CAT(0) cubical complexes. Adv. Appl. Math. Ariel Goodwin, Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
2025	J	`jnl`	Identifiability, the KL Property in Metric Spaces, and Subgradient Curves. Found. Comput. Math. Adrian S. Lewis, Tonghua Tian
2025	J	`jnl`	The complexity of first-order optimization methods from a metric perspective. Math. Program. Adrian S. Lewis, Tonghua Tian
2024	J	`jnl`	A subgradient splitting algorithm for optimization on nonpositively curved metric spaces. CoRR Ariel Goodwin, Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
2024	J	`jnl`	Basic Convex Analysis in Metric Spaces with Bounded Curvature. SIAM J. Optim. Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
2024	J	`jnl`	Horoballs and the subgradient method. CoRR Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
2024	J	`jnl`	Lipschitz minimization and the Goldstein modulus. CoRR Siyu Kong, Adrian S. Lewis
2024	J	`jnl`	Recognizing weighted means in geodesic spaces. CoRR Ariel Goodwin, Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
2024	J	`jnl`	The Cost of Nonconvexity in Deterministic Nonsmooth Optimization. Math. Oper. Res. Siyu Kong, Adrian S. Lewis
2023	J	`jnl`	Survey Descent: A Multipoint Generalization of Gradient Descent for Nonsmooth Optimization. SIAM J. Optim. Xiaoyan Han, Adrian S. Lewis
2023	J	`jnl`	The complexity of first-order optimization methods from a metric perspective. CoRR Adrian S. Lewis, Tonghua Tian
2022	J	`jnl`	Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature. SIAM J. Optim. Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
2022	J	`jnl`	Partial Smoothness and Constant Rank. SIAM J. Optim. Adrian S. Lewis, Jingwei Liang, Tonghua Tian
2021	J	`jnl`	Active-Set Newton Methods and Partial Smoothness. Math. Oper. Res. Adrian S. Lewis, Calvin J. S. Wylie
2021	J	`jnl`	Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria. Math. Program. Dmitriy Drusvyatskiy, Alexander D. Ioffe, Adrian S. Lewis
2021	J	`jnl`	Survey Descent: A Multipoint Generalization of Gradient Descent for Nonsmooth Optimization. CoRR Xiaoyan Han, Adrian S. Lewis
2021	J	`jnl`	The Structure of Conservative Gradient Fields. SIAM J. Optim. Adrian S. Lewis, Tonghua Tian
2021	J	`jnl`	The structure of conservative gradient fields. CoRR Adrian S. Lewis, Tonghua Tian
2020	J	`jnl`	Partial Smoothness of the Numerical Radius at Matrices Whose Fields of Values are Disks. SIAM J. Matrix Anal. Appl. Adrian S. Lewis, Michael L. Overton
2019	J	`jnl`	A simple Newton method for local nonsmooth optimization. CoRR Adrian S. Lewis, Calvin J. S. Wylie
2018	J	`jnl`	Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods. Math. Oper. Res. Dmitriy Drusvyatskiy, Adrian S. Lewis
2018	J	`jnl`	Nonsmooth Variants of Powell's BFGS Convergence Theorem. SIAM J. Optim. Jiayi Guo, Adrian S. Lewis
2017	J	`jnl`	Variational analysis of the Crouzeix ratio. Math. Program. Anne Greenbaum, Adrian S. Lewis, Michael L. Overton
2016	J	`jnl`	A proximal method for composite minimization. Math. Program. Adrian S. Lewis, Stephen J. Wright
2016	J	`jnl`	Generic Minimizing Behavior in Semialgebraic Optimization. SIAM J. Optim. Dmitriy Drusvyatskiy, Alexander D. Ioffe, Adrian S. Lewis
2015	J	`jnl`	Clarke Subgradients for Directionally Lipschitzian Stratifiable Functions. Math. Oper. Res. Dmitriy Drusvyatskiy, Alexander D. Ioffe, Adrian S. Lewis
2015	J	`jnl`	Curves of Descent. SIAM J. Control. Optim. Dmitriy Drusvyatskiy, Alexander D. Ioffe, Adrian S. Lewis
2015	J	`jnl`	Nonsmoothness and a Variable Metric Method. J. Optim. Theory Appl. Adrian S. Lewis, Shuwei Zhang
2015	J	`jnl`	Transversality and Alternating Projections for Nonconvex Sets. Found. Comput. Math. Dmitriy Drusvyatskiy, Alexander D. Ioffe, Adrian S. Lewis
2014	J	`jnl`	Optimality, identifiability, and sensitivity. Math. Program. Dmitriy Drusvyatskiy, Adrian S. Lewis
2014	J	`jnl`	Orthogonal Invariance and Identifiability. SIAM J. Matrix Anal. Appl. Aris Daniilidis, Dmitriy Drusvyatskiy, Adrian S. Lewis
2013	J	`jnl`	Nonsmooth optimization via quasi-Newton methods. Math. Program. Adrian S. Lewis, Michael L. Overton
2013	J	`jnl`	Partial Smoothness, Tilt Stability, and Generalized Hessians. SIAM J. Optim. Adrian S. Lewis, Shanshan Zhang
2013	J	`jnl`	Semi-algebraic functions have small subdifferentials. Math. Program. Dmitriy Drusvyatskiy, Adrian S. Lewis
2013	J	`jnl`	Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential. SIAM J. Optim. Dmitriy Drusvyatskiy, Adrian S. Lewis
2011	J	`jnl`	Generic Optimality Conditions for Semialgebraic Convex Programs. Math. Oper. Res. Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis
2011	J	`jnl`	Identifying Activity. SIAM J. Optim. Adrian S. Lewis, Stephen J. Wright
2010	J	`jnl`	Randomized Methods for Linear Constraints: Convergence Rates and Conditioning. Math. Oper. Res. D. Leventhal, Adrian S. Lewis
2009	J	`jnl`	Lipschitz Behavior of the Robust Regularization. SIAM J. Control. Optim. Adrian S. Lewis, Chin How Jeffrey Pang
2009	J	`jnl`	Local Linear Convergence for Alternating and Averaged Nonconvex Projections. Found. Comput. Math. Adrian S. Lewis, D. Russell Luke, Jérôme Malick
2009	J	`jnl`	Tame functions are semismooth. Math. Program. Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis
2008	J	`jnl`	Alternating Projections on Manifolds. Math. Oper. Res. Adrian S. Lewis, Jérôme Malick
2008	J	`jnl`	Randomized Methods for Linear Constraints: Convergence Rates and Conditioning CoRR D. Leventhal, Adrian S. Lewis
2008	J	`jnl`	Variational Analysis of Pseudospectra. SIAM J. Optim. Adrian S. Lewis, Chin How Jeffrey Pang
2007	J	`jnl`	Clarke Subgradients of Stratifiable Functions. SIAM J. Optim. Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis, Masahiro Shiota
2007	J	`jnl`	Convexity and Lipschitz Behavior of Small Pseudospectra. SIAM J. Matrix Anal. Appl. James V. Burke, Adrian S. Lewis, Michael L. Overton
2007	J	`jnl`	Identifying Active Manifolds. Algorithmic Oper. Res. Warren L. Hare, Adrian S. Lewis
2007	J	`jnl`	Nonsmooth optimization and robust control. Annu. Rev. Control. Adrian S. Lewis
2007	J	`jnl`	Spectral conditioning and pseudospectral growth. Numerische Mathematik James V. Burke, Adrian S. Lewis, Michael L. Overton
2007	J	`jnl`	The [barred L]ojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems. SIAM J. Optim. Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis
2006	J	`jnl`	Distance to Uncontrollability for Convex Processes. SIAM J. Control. Optim. Adrian S. Lewis, René Henrion, Alberto Seeger
2006	J	`jnl`	Stabilization via Nonsmooth, Nonconvex Optimization. IEEE Trans. Autom. Control. James V. Burke, Didier Henrion, Adrian S. Lewis, Michael L. Overton
2005	J	`jnl`	A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization. SIAM J. Optim. James V. Burke, Adrian S. Lewis, Michael L. Overton
2005	J	`jnl`	Estimating Tangent and Normal Cones Without Calculus. Math. Oper. Res. Warren L. Hare, Adrian S. Lewis
2005	J	`jnl`	Variational analysis of functions of the roots of polynomials. Math. Program. James V. Burke, Adrian S. Lewis, Michael L. Overton
2004	J	`jnl`	Pseudospectral Components and the Distance to Uncontrollability. SIAM J. Matrix Anal. Appl. James V. Burke, Adrian S. Lewis, Michael L. Overton
2004	J	`jnl`	The Structured Distance to Ill-Posedness for Conic Systems. Math. Oper. Res. Adrian S. Lewis
2004	J	`jnl`	Variational Analysis of the Abscissa Mapping for Polynomials via the Gauss-Lucas Theorem. J. Glob. Optim. James V. Burke, Adrian S. Lewis, Michael L. Overton
2003	J	`jnl`	Optimization and Pseudospectra, with Applications to Robust Stability. SIAM J. Matrix Anal. Appl. James V. Burke, Adrian S. Lewis, Michael L. Overton
2003	J	`jnl`	The mathematics of eigenvalue optimization. Math. Program. Adrian S. Lewis
2002	J	`jnl`	Active Sets, Nonsmoothness, and Sensitivity. SIAM J. Optim. Adrian S. Lewis
2002	J	`jnl`	Approximating Subdifferentials by Random Sampling of Gradients. Math. Oper. Res. James V. Burke, Adrian S. Lewis, Michael L. Overton
2001	—	`conf`	Fuzzy c-means image segmentation of side-scan sonar images. SIP J. P. Stitt, R. L. Tutwiler, Adrian S. Lewis
2001	J	`jnl`	Optimal Stability and Eigenvalue Multiplicity. Found. Comput. Math. James V. Burke, Adrian S. Lewis, Michael L. Overton
2001	J	`jnl`	Self-concordant barriers for hyperbolic means. Math. Program. Adrian S. Lewis, Hristo S. Sendov
2001	J	`jnl`	Twice Differentiable Spectral Functions. SIAM J. Matrix Anal. Appl. Adrian S. Lewis, Hristo S. Sendov
2000	J	`jnl`	Lidskii's Theorem via Nonsmooth Analysis. SIAM J. Matrix Anal. Appl. Adrian S. Lewis
2000	J	`jnl`	Nonsmooth Duality, Sandwich, and Squeeze Theorems. SIAM J. Control. Optim. Adrian S. Lewis, R. E. Lucchetti
1999	J	`jnl`	Ill-Conditioned Convex Processes and Conic Linear Systems. Math. Oper. Res. Adrian S. Lewis
1999	J	`jnl`	Nonsmooth analysis of eigenvalues. Math. Program. Adrian S. Lewis
1999	J	`jnl`	The Clarke and Michel-Penot Subdifferentials of the Eigenvalues of a Symmetric Matrix. Comput. Optim. Appl. Jean-Baptiste Hiriart-Urruty, Adrian S. Lewis
1996	J	`jnl`	Convex Analysis on the Hermitian Matrices. SIAM J. Optim. Adrian S. Lewis
1996	J	`jnl`	Derivatives of Spectral Functions. Math. Oper. Res. Adrian S. Lewis
1996	J	`jnl`	Group Invariance and Convex Matrix Analysis. SIAM J. Matrix Anal. Appl. Adrian S. Lewis
1996	J	`jnl`	Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality. Math. Oper. Res. Jonathan M. Borwein, Adrian S. Lewis, Dominikus Noll
1994	J	`jnl`	Facial reduction in partially finite convex programming. Math. Program. Adrian S. Lewis
1994	J	`jnl`	Strong Rotundity and Optimization. SIAM J. Optim. Jonathan M. Borwein, Adrian S. Lewis
1993	J	`jnl`	Partially-Finite Programming in L SIAM J. Optim. Jonathan M. Borwein, Adrian S. Lewis
1992	J	`jnl`	Image compression using the 2-D wavelet transform. IEEE Trans. Image Process. Adrian S. Lewis, Gregory P. Knowles
1992	J	`jnl`	Partially finite convex programming, Part I: Quasi relative interiors and duality theory. Math. Program. Jonathan M. Borwein, Adrian S. Lewis
1992	J	`jnl`	Partially finite convex programming, Part II: Explicit lattice models. Math. Program. Jonathan M. Borwein, Adrian S. Lewis
1991	B	`conf`	A 64 Kb/s Video Codec Using the 2-D Wavelet Transform. Data Compression Conference Adrian S. Lewis, Gregory P. Knowles
1991	J	`jnl`	Convergence of Best Entropy Estimates. SIAM J. Optim. Jonathan M. Borwein, Adrian S. Lewis
1989	J	`jnl`	An extension of the simplex algorithm for semi-infinite linear programming. Math. Program. Edward J. Anderson, Adrian S. Lewis