Adrian Lewis

Q: What Schools Are Affiliated With Adrian Lewis

Adrian Lewis is affiliated with the following schools: University of Waterloo, University of Oxford, Cornell University, University of Cambridge

Adrian Lewis 's AcademicInfluence.com Rankings

Adrian Lewis

Mathematics

#1023

World Rank

#1756

Historical Rank

Measure Theory

#2072

World Rank

#2509

Historical Rank

mathematics Degrees

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Mathematics

Why Is Adrian Lewis Influential?

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According to Wikipedia, Adrian Stephen Lewis is a British-Canadian mathematician, specializing in variational analysis and nonsmooth optimization. Education and career At the University of Cambridge he graduated with B.A. in mathematics in 1983, M.A. in 1987, and Ph.D. in engineering in 1987. His doctoral dissertation is titled Extreme point methods for infinite linear programming. Lewis was a postdoc at Dalhousie University. In Canada he was a faculty member at the University of Waterloo from 1989 to 2001 and at Simon Fraser University from 2001 to 2004. Since 2004 he has been a full professor at Cornell University and since 2018 has been the Samuel B. Eckert Professor of Engineering in the School of Operations Research and Information Engineering. From 2010 to 2013, he served as the School's director.

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Adrian Lewis 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Convex analysis and nonlinear optimization : theory and examples (2000) (1078)
Convex Analysis And Nonlinear Optimization (2000) (825)
The [barred L]ojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems (2006) (658)
A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization (2005) (489)
Clarke Subgradients of Stratifiable Functions (2006) (372)
Nonsmooth optimization via quasi-Newton methods (2013) (370)
Partially finite convex programming, Part I: Quasi relative interiors and duality theory (1992) (325)
Randomized Methods for Linear Constraints: Convergence Rates and Conditioning (2008) (291)
HIFOO - A MATLAB package for fixed-order controller design and H ∞ optimization (2006) (265)
Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods (2016) (256)
Local Linear Convergence for Alternating and Averaged Nonconvex Projections (2009) (243)
Error Bounds for Convex Inequality Systems (1998) (240)
Duality relationships for entropy-like minimization problems (1991) (237)
Alternating Projections on Manifolds (2008) (220)
Convex Analysis on the Hermitian Matrices (1996) (210)
The radius of metric regularity (2002) (204)
The Convex Analysis of Unitarily Invariant Matrix Functions (1995) (204)
The lax conjecture is true (2003) (188)
Active Sets, Nonsmoothness, and Sensitivity (2002) (184)
Convergence of Best Entropy Estimates (1991) (180)
Derivatives of Spectral Functions (1996) (174)
Stabilization via Nonsmooth, Nonconvex Optimization (2006) (169)
The method of cyclic projections for closed convex sets in Hilbert space (1997) (156)
A proximal method for composite minimization (2008) (133)
Approximating Subdifferentials by Random Sampling of Gradients (2002) (123)
Identifying active constraints via partial smoothness and prox-regularity (2003) (123)
Hyperbolic Polynomials and Convex Analysis (2001) (119)
Nonsmooth analysis of eigenvalues (1999) (115)
The mathematics of eigenvalue optimization (2003) (114)
Dykstras algorithm with bregman projections: A convergence proof (2000) (111)
Partially-Finite Programming in L1 and the Existence of Maximum Entropy Estimates (1993) (109)
Two numerical methods for optimizing matrix stability (2002) (106)
Twice Differentiable Spectral Functions (2001) (101)
Transversality and Alternating Projections for Nonconvex Sets (2014) (97)
Partially finite convex programming, Part II: Explicit lattice models (1992) (93)
Group Invariance and Convex Matrix Analysis (1996) (86)
Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential (2012) (85)
Nonsmooth Analysis of Singular Values. Part I: Theory (2005) (85)
Partial Smoothness, Tilt Stability, and Generalized Hessians (2013) (83)
Entropy minimization, DAD problems, and doubly stochastic kernels (1994) (82)
Optimization and Pseudospectra, with Applications to Robust Stability (2003) (80)
Robust stability and a criss‐cross algorithm for pseudospectra (2003) (79)
Tame functions are semismooth (2008) (70)
On the convergence of moment problems (1991) (67)
Pseudospectral Components and the Distance to Uncontrollability (2005) (61)
An extension of the simplex algorithm for semi-infinite linear programming (1989) (58)
Gradient Sampling Methods for Nonsmooth Optimization (2018) (58)
Optimal Stability and Eigenvalue Multiplicity (2001) (56)
Optimizing Matrix Stability (1999) (54)
Nonsmooth Analysis of Singular Values. Part II: Applications (2005) (53)
A Nonsmooth, Nonconvex Optimization Approach to Robust Stabilization by Static Output Feedback and Low-Order Controllers (2003) (52)
A nonsmooth Morse–Sard theorem for subanalytic functions (2006) (50)
Orthogonal Invariance and Identifiability (2013) (47)
Convex analysis on Cartan subspaces (2000) (41)
Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria (2016) (41)
Curves of Descent (2012) (40)
Decomposition of Multivariate Functions (1992) (40)
Prox-Regularity of Spectral Functions and Spectral Sets (2008) (39)
Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality (1996) (39)
Generic Optimality Conditions for Semialgebraic Convex Programs (2011) (38)
Lipschitz Behavior of the Robust Regularization (2008) (37)
Identifying Active Manifolds (2007) (36)
Perturbations and Metric Regularity (2005) (35)
Ill-Conditioned Convex Processes and Conic Linear Systems (1999) (35)
Strong Rotundity and Optimization (1994) (33)
Clarke critical values of subanalytic Lipschitz continuous functions (2005) (30)
Consistency of Moment Systems (1995) (29)
Semi-algebraic functions have small subdifferentials (2010) (28)
THEINEQUALITY FOR NONSMOOTH SUBANALYTIC FUNCTIONS WITH APPLICATIONS TO (2007) (27)
Differentiability of cone-monotone functions on separable Banach space (2003) (27)
Maximum entropy reconstruction using derivative information part 2: computational results (1995) (25)
Identifying Activity (2009) (25)
Generic Minimizing Behavior in Semialgebraic Optimization (2015) (25)
Optimality, identifiability, and sensitivity (2012) (24)
Alternating projections and coupling slope (2014) (24)
Variational Analysis of the Abscissa Mapping for Polynomials via the Gauss-Lucas Theorem (2004) (22)
Eigenvalue-constrained faces☆ (1998) (21)
Randomized Hessian estimation and directional search (2011) (19)
Nonsmooth Duality, Sandwich, and Squeeze Theorems (2000) (19)
A nonlinear duality result equivalent to the Clarke-Ledyaev mean value inequality (1996) (18)
The Clarke and Michel-Penot Subdifferentials of the Eigenvalues of a Symmetric Matrix (1999) (17)
Distance to Uncontrollability for Convex Processes (2006) (17)
Variational Analysis of Pseudospectra (2008) (17)
The capacity problem (1989) (17)
Local convergence for alternating and averaged nonconvex projections (2007) (16)
A Survey of Convergence Results for Maximum Entropy Methods (1993) (16)
The speed of Shor's R-algorithm (2008) (16)
Ill-Conditioned Inclusions (2001) (15)
Generic nondegeneracy in convex optimization (2010) (15)
Moment-Matching and Best Entropy Estimation (1994) (15)
Nonsmooth optimization and robust control (2007) (15)
On the method of cyclic projections for convex sets in Hilbert space (1994) (15)
Quadratic expansions of spectral functions (2002) (14)
Estimating Tangent and Normal Cones Without Calculus (2005) (14)
Ill-Conditioned Convex Processes and Linear Inequalities (1998) (13)
The dimension of semialgebraic subdifferential graphs (2011) (13)
Nonsmoothness and a Variable Metric Method (2015) (13)
Twice Difierentiable Spectral Functions (2000) (12)
Extreme Points and Purification Algorithms in General Linear Programming (1985) (12)
Lidskii's Theorem via Nonsmooth Analysis (1999) (12)
Variational analysis of functions of the roots of polynomials (2005) (12)
Spectral conditioning and pseudospectral growth (2007) (11)
BEHAVIOR OF BFGS WITH AN EXACT LINE SEARCH ON NONSMOOTH EXAMPLES (2008) (11)
Variational analysis of the Crouzeix ratio (2017) (10)
Convex spectral functions of compact operators (2000) (10)
Weak-Star Convergence of Convex Sets (2006) (10)
Clarke Subgradients for Directionally Lipschitzian Stratifiable Functions (2012) (9)
Critical points of simple functions (2008) (9)
Level set methods for finding critical points of mountain pass type (2009) (9)
Convergence of decreasing sequences of convex sets in nonreflexive Banach spaces (1993) (9)
Superresolution in the Markov Moment Problem (1996) (9)
Nonsmooth Variants of Powell's BFGS Convergence Theorem (2018) (9)
The Structured Distance to Ill-Posedness for Conic Systems (2003) (8)
Convexity and Lipschitz Behavior of Small Pseudospectra (2007) (8)
Self-concordant barriers for hyperbolic means (2001) (7)
BFGS convergence to nonsmooth minimizers of convex functions (2017) (7)
Nonsmooth optimization: conditioning, convergence and semi-algebraic models (2014) (6)
Facial reduction in partially finite convex programming (1994) (6)
Entropy minimization with lattice bounds (1994) (6)
Nonsmooth analysis of eigenvalues: A summary (1996) (6)
Analysis of a Belgian Chocolate Stabilization Problem (2005) (6)
The structure of conservative gradient fields (2021) (6)
The convergence of entropic estimates for moment problems (1988) (5)
Orbits of Geometric Descent (2013) (5)
The convergence of entropy-based approximations for moment problems (1994) (5)
Partial Smoothness and Constant Rank (2018) (5)
Eigenvalue optimization (1996) (5)
Foundations of Computational Mathematics, Santander 2005: Eigenvalues and Nonsmooth Optimization (2006) (5)
Local structure and algorithms in nonsmooth optimization (2005) (5)
Convex Spectral Functions of Compact Operators, Part II: Lower Semicontinuity and Rearrangement Invariance (2001) (5)
1 Eigenvalues and nonsmooth optimization (2005) (4)
Local Linear Convergence for Inexact Alternating Projections on Nonconvex Sets (2019) (4)
TAME MAPPINGS ARE SEMISMOOTH (2006) (4)
Partial Smoothness of the Numerical Radius at Matrices Whose Fields of Values are Disks (2018) (4)
A simple Newton method for local nonsmooth optimization (2019) (4)
Karush-Kuhn-Tucker Theory (2000) (3)
Survey Descent: A Multipoint Generalization of Gradient Descent for Nonsmooth Optimization (2021) (3)
Maximum Entropy Spectral Analysis Using Derivative Information Part 2: Computational Results (1995) (2)
Generic identifiability and second-order sufficiency in tame convex optimization (2009) (2)
Active-Set Newton Methods and Partial Smoothness (2019) (2)
Inexact alternating projections on nonconvex sets (2018) (2)
Postscript: Infinite Versus Finite Dimensions (2000) (1)
The cost of nonconvexity in deterministic nonsmooth optimization (2022) (1)
Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria (2019) (1)
Optimality, identifiability, and sensitivity (2013) (1)
Rescaling nonsmooth optimization using BFGS and Shor updates (2018) (1)
Identifiability, the KL property in metric spaces, and subgradient curves (2022) (1)
Spectral lifts of identifiable sets and partly smooth manifolds (2013) (1)
CORR 99-31 Self-Concordant Barriers for Hyperbolic Means (1999) (1)
NONSMOOTHNESS AND THE BFGS METHOD ∗ (2013) (1)
Transversality and Alternating Projections for Nonconvex Sets (2015) (0)
Algorithm 1 : Gradient Sampling with a Line Search Require : (2019) (0)
Maximum Entropy Spectral Analysis Using DerivativeInformation Part 2 : Computational (0)
CORR 2000-40 The Radius of metric Regularity (0)
Disk matrices and the proximal mapping for the numerical radius (2020) (0)
The Gradient Sampling Methodology (2019) (0)
A nonsmooth, nonconvex approach to robust stabilization by static output feedback and low-order controllers (2004) (0)
VARIATIONAL ANALYSIS OF FUNCTIONS OF THEROOTS OF POLYNOMIALSJAMES (2004) (0)
Variational analysis of the Crouzeix ratio (2016) (0)
Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature (2021) (0)
C A ] 5 D ec 2 01 3 Orbits of geometric descent (2013) (0)
A CRISS-CROSS ALGORITHM FOR THEPSEUDOSPECTRAL (2002) (0)
Differentiability of cone-monotone functions in Banach spaces (2003) (0)
Trajectories of Descent (2012) (0)
List of Results and Notation (2000) (0)
Semi-algebraic functions have small subdifferentials (2012) (0)
N ov 2 01 2 Clarke subgradients for directionally Lipschitzian stratifiable functions (2012) (0)
Contours of Liapunov functions (1994) (0)
Reviews of Convex Analysis and Nonlinear Optimization, Links and Addenda (2005) (0)
suciency in tame convex optimization (2009) (0)
Basic convex analysis in metric spaces with bounded curvature (2023) (0)
A proximal method for composite minimization (2015) (0)
The Structured Distance to Ill-Posedness for (2004) (0)
Effects of conditioning on the convergence of randomized optimization algorithms (2009) (0)
Contours of Liapunov Functions 1 (0)
Author ' s personal copy Nonsmooth optimization and robust control § (2007) (0)
Convex spectral functions of compact operators, Part 1 (2000) (0)
OPTIMIZATION OVER (2002) (0)
functions and spectral sets (2008) (0)
SEMI-ALGEBRAIC IDEAS IN NONSMOOTH OPTIMIZATION (2007) (0)
Nonsmooth optimization via quasi-Newton methods (2012) (0)
More Nonsmooth Structure (2006) (0)
AN E XTENSION O F T HE S IMPLEX A LGORITHM F OR SEMI-INFINITE L INEAR P ROGRAMMING (1989) (0)
Two Numeri al Methods forOptimizing Matrix (2001) (0)
Metric Regularity and Fixed Points for Univaled and Set-Valued Operators (2009) (0)

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Other Resources About Adrian Lewis

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What Schools Are Affiliated With Adrian Lewis ?

Adrian Lewis is affiliated with the following schools: