SIAM Journal on Optimization

Article	Citations
Maximum A Posteriori Inference of Random Dot Product Graphs via Conic Programming	55
Occupation Measure Relaxations in Variational Problems: The Role of Convexity	46
Optimal Self-Concordant Barriers for Quantum Relative Entropies	39
Convex Approximations of Random Constrained Markov Decision Processes	34
The Lovász Theta Function for Recovering Planted Clique Covers and Graph Colorings	31
Convex Bi-level Optimization Problems with Nonsmooth Outer Objective Function	27
Convex Ternary Quartics Are SOS-Convex	27
Variational Convexity of Functions and Variational Sufficiency in Optimization	24
A Descent Algorithm for the Optimal Control of ReLU Neural Network Informed PDEs Based on Approximate Directional Derivatives	24
An Approximation-Based Regularized Extra-Gradient Method for Monotone Variational Inequalities	23
Reducing Nonnegativity over General Semialgebraic Sets to Nonnegativity over Simple Sets	22
High Probability Complexity Bounds for Adaptive Step Search Based on Stochastic Oracles	20
Orthogonal Trace-Sum Maximization: Tightness of the Semidefinite Relaxation and Guarantee of Locally Optimal Solutions	20
On Difference-of-SOS and Difference-of-Convex-SOS Decompositions for Polynomials	20
A Correlatively Sparse Lagrange Multiplier Expression Relaxation for Polynomial Optimization	20
Bregman Finito/MISO for Nonconvex Regularized Finite Sum Minimization without Lipschitz Gradient Continuity	19
A Subspace Acceleration Method for Minimization Involving a Group Sparsity-Inducing Regularizer	18
Fenchel Duality and a Separation Theorem on Hadamard Manifolds	18
Subgradient Sampling for Nonsmooth Nonconvex Minimization	17
Fenchel–Young Inequality with a Remainder and Applications to Convex Duality and Optimal Transport	17
Difference-of-Convex Algorithms for a Class of Sparse Group $\ell_0$ Regularized Optimization Problems	16
On a Differential Generalized Nash Equilibrium Problem with Mean Field Interaction	16
Fast Computation of Optimal Transport via Entropy-Regularized Extragradient Methods	15
Linear Programming on the Stiefel Manifold	15
The Rate of Convergence of Bregman Proximal Methods: Local Geometry Versus Regularity Versus Sharpness	15

Refined TSSOS	15
Solution of Mismatched Monotone+Lipschitz Inclusion Problems	15
Optimal Convergence Rates for the Proximal Bundle Method	14
The Ratio-Cut Polytope and K-Means Clustering	14
Harnessing Structure in Composite Nonsmooth Minimization	14
On the Geometric Convergence of Byzantine-Resilient Distributed Optimization Algorithms	13
The Computation of Approximate Feedback Stackelberg Equilibria in Multiplayer Nonlinear Constrained Dynamic Games	13
Using Taylor-Approximated Gradients to Improve the Frank–Wolfe Method for Empirical Risk Minimization	13
The Bipartite Boolean Quadric Polytope with Multiple-Choice Constraints	13
Weighted Geometric Mean, Minimum Mediated Set, and Optimal Simple Second-Order Cone Representation	12
On the Generalized $\vartheta$-Number and Related Problems for Highly Symmetric Graphs	12
Decomposition Methods for Global Solution of Mixed-Integer Linear Programs	12
A Family of \(\boldsymbol{s}\)-Rectangular Robust MDPs: Relative Conservativeness, Asymptotic Analyses, and Finite-Sample Properties	11
Parabolic Optimal Control Problems with Combinatorial Switching Constraints, Part I: Convex Relaxations	11
ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints	11
Distributionally Robust Two-Stage Stochastic Programming	10
Convergence Analyses of Davis–Yin Splitting via Scaled Relative Graphs	10
Consensus-Based Optimization Methods Converge Globally	10
Convergent Algorithms for a Class of Convex Semi-infinite Programs	10
Degenerate Preconditioned Proximal Point Algorithms	10
On the Complexity of Matrix Putinar’s Positivstellensätz	10
A Disjunctive Cutting Plane Algorithm for Bilinear Programming	9
On the Divergence of Decentralized Nonconvex Optimization	9
Understanding the Influence of Digraphs on Decentralized Optimization: Effective Metrics, Lower Bound, and Optimal Algorithm	9
Escaping Unknown Discontinuous Regions in Blackbox Optimization	9
A Regularized Newton Method for \({\boldsymbol{\ell}}_{q}\) -Norm Composite Optimization Problems	9
A Search-Free \({O(1/{k}^{3/2})}\) Homotopy Inexact Proximal-Newton Extragradient Algorithm for Monotone Variational Inequalities	9
Randomized Iterative Methods for Generalized Absolute Value Equations: Solvability and Error Bounds	9
Optimization on the Euclidean Unit Sphere	9
Continuous Newton-like Methods Featuring Inertia and Variable Mass	9
Scalable Frank–Wolfe on Generalized Self-Concordant Functions via Simple Steps	9
Decentralized Gradient Descent Maximization Method for Composite Nonconvex Strongly-Concave Minimax Problems	9
Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients	8
Interior Point Methods Can Exploit Structure of Convex Piecewise Linear Functions with Application in Radiation Therapy	8
On Enhanced KKT Optimality Conditions for Smooth Nonlinear Optimization	8
The Stochastic Auxiliary Problem Principle in Banach Spaces: Measurability and Convergence	8
On the Bredies–Chenchene–Lorenz–Naldi Algorithm: Linear Relations and Strong Convergence	8
Mini-Batch Risk Forms	8
A Four-Operator Splitting Algorithm for Nonconvex and Nonsmooth Optimization	8
First-Order Penalty Methods for Bilevel Optimization	8
Strong Convergence for the Alternating Halpern–Mann Iteration in CAT(0) Spaces	8
MINRES: From Negative Curvature Detection to Monotonicity Properties	7
Frugal Splitting Operators: Representation, Minimal Lifting, and Convergence	7
Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems	7
Fast Decentralized Nonconvex Finite-Sum Optimization with Recursive Variance Reduction	7
Minimal Pairs of Convex Sets Which Share a Recession Cone	7
Piecewise Polyhedral Relaxations of Multilinear Optimization	7
Fisher–Rao Gradient Flows of Linear Programs and State-Action Natural Policy Gradients	7
An Exact Method for Nonlinear Network Flow Interdiction Problems	7
Linearly Constrained Nonsmooth Optimization for Training Autoencoders	7

Proximity Operators of Perspective Functions with Nonlinear Scaling	7
Column $\ell_{2,0}$-Norm Regularized Factorization Model of Low-Rank Matrix Recovery and Its Computation	7
A Noise-Tolerant Quasi-Newton Algorithm for Unconstrained Optimization	7
Bayesian Joint Chance Constrained Optimization: Approximations and Statistical Consistency	7
Dynamic Stochastic Variational Inequalities and Convergence of Discrete Approximation	7
A Newton-CG Based Barrier Method for Finding a Second-Order Stationary Point of Nonconvex Conic Optimization with Complexity Guarantees	7
Algorithms to Solve Unbounded Convex Vector Optimization Problems	7
From Calmness to Hoffman Constants for Linear Semi-infinite Inequality Systems	6
Sequential Quadratic Optimization for Stochastic Optimization with Deterministic Nonlinear Inequality and Equality Constraints	6
New Methods for Parametric Optimization via Differential Equations	6
Subdifferentially Polynomially Bounded Functions and Gaussian Smoothing–Based Zeroth-Order Optimization	6
Constrained Consensus-Based Optimization	6
Active-Set Identification with Complexity Guarantees of an Almost Cyclic 2-Coordinate Descent Method with Armijo Line Search	6
Super-Universal Regularized Newton Method	6
A Sequential Quadratic Programming Algorithm for Nonsmooth Problems with Upper- \({\boldsymbol{\mathcal{C}^2}}\) Objective	6
Parameter-Free Accelerated Gradient Descent for Nonconvex Minimization	6
Square Root LASSO: Well-Posedness, Lipschitz Stability, and the Tuning Trade-Off	6
Uncertainty Preferences in Robust Mixed-Integer Linear Optimization with Endogenous Uncertainty	6
Performance Bounds for PDE-Constrained Optimization under Uncertainty	6
A Dynamic Smoothing Technique for a Class of Nonsmooth Optimization Problems on Manifolds	6
Accelerating Preconditioned ADMM via Degenerate Proximal Point Mappings	6
TRFD: A Derivative-Free Trust-Region Method Based on Finite Differences for Composite Nonsmooth Optimization	5
Corrigendum: Convex Optimization Problems on Differentiable Sets	5
Complexity of Finite-Sum Optimization with Nonsmooth Composite Functions and Non-Lipschitz Regularization	5
A Unified Framework for Pricing in Nonconvex Resource Allocation Games	5
A Semismooth Newton Stochastic Proximal Point Algorithm with Variance Reduction	5
How Do Exponential Size Solutions Arise in Semidefinite Programming?	5
Regularized Newton Method with Global \({\boldsymbol{\mathcal{O}(1/{k}^2)}}\) Convergence	5
A Symmetric Gauss–Seidel Based Majorized Augmented Lagrangian Method for Generalized Nash Equilibrium Problems in Hilbert Spaces	5
Adaptive Partitioning for Chance-Constrained Problems with Finite Support	5
Randomized Douglas–Rachford Methods for Linear Systems: Improved Accuracy and Efficiency	5
On Cutting Plane Algorithms for Nonlinear Binary Optimization	5
An Improved Unconstrained Approach for Bilevel Optimization	5
Subset Selection and the Cone of Factor-Width-kMatrices	5
A Stochastic-Gradient-Based Interior-Point Algorithm for Solving Smooth Bound-Constrained Optimization Problems	5
Dualities for Non-Euclidean Smoothness and Strong Convexity under the Light of Generalized Conjugacy	5
A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods	5
A Jacobi-Type Newton Method for Nash Equilibrium Problems with Descent Guarantees	5
From the Ravine Method to the Nesterov Method and Vice Versa: A Dynamical System Perspective	5
Cyclic Coordinate Dual Averaging with Extrapolation	5
Convergence Analysis of a Norm Minimization-Based Convex Vector Optimization Algorithm	5
Dual Certificates and Efficient Rational Sum-of-Squares Decompositions for Polynomial Optimization over Compact Sets	5
Policy Mirror Descent Inherently Explores Action Space	5
Convergence Rate of Inexact Proximal Point Algorithms for Operator with Hölder Metric Subregularity	5
Evolution of Mixed Strategies in Monotone Games	5
A Branch-and-Bound Algorithm for Nonconvex Nash Equilibrium Problems	5
Bayesian Optimization with Expensive Integrands	4
Convex Quadratic Sets and the Complexity of Mixed Integer Convex Quadratic Programming	4
Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature	4
Strong Variational Sufficiency for Nonlinear Semidefinite Programming and Its Implications	4
Strongly Stable Stationary Points for a Class of Generalized Equations	4
General Feasibility Bounds for Sample Average Approximation via Vapnik--Chervonenkis Dimension	4
Various Notions of Nonexpansiveness Coincide for Proximal Mappings of Functions	4
First-Order Methods for Problems with $O$(1) Functional Constraints Can Have Almost the Same Convergence Rate as for Unconstrained Problems	4
Iteration Complexity of an Inner Accelerated Inexact Proximal Augmented Lagrangian Method Based on the Classical Lagrangian Function	4
Tight Error Bounds for the Sign-Constrained Stiefel Manifold	4
Accelerating Primal-Dual Methods for Regularized Markov Decision Processes	4
Bregman Proximal Point Algorithm Revisited: A New Inexact Version and Its Inertial Variant	4
Sample Size Estimates for Risk-Neutral Semilinear PDE-Constrained Optimization	4
Zeroth-Order Stochastic Compositional Algorithms for Risk-Aware Learning	4
Accelerated First-Order Methods for Convex Optimization with Locally Lipschitz Continuous Gradient	4
Effective Scenarios in Multistage Distributionally Robust Optimization with a Focus on Total Variation Distance	4
Aubin Property and Strong Regularity Are Equivalent for Nonlinear Second-Order Cone Programming	4
Convergence of a Class of Nonmonotone Descent Methods for Kurdyka–Łojasiewicz Optimization Problems	4
Sharp and Fast Bounds for the Celis-Dennis-Tapia Problem	4
Cutting Plane Generation through Sparse Principal Component Analysis	4
Hybrid Algorithms for Finding a D-Stationary Point of a Class of Structured Nonsmooth DC Minimization	4
Projected Gradient Descent Accumulates at Bouligand Stationary Points	4
Bounds for Multistage Mixed-Integer Distributionally Robust Optimization	4
Kurdyka–Łojasiewicz Exponent via Hadamard Parametrization	4
The Splitting Algorithms by Ryu, by Malitsky–Tam, and by Campoy Applied to Normal Cones of Linear Subspaces Converge Strongly to the Projection onto the Intersection	4
An Efficient Sieving-Based Secant Method for Sparse Optimization Problems with Least-Squares Constraints	4
Bias Reduction in Sample-Based Optimization	4
Shape Optimization for Variational Inequalities: The Scalar Tresca Friction Problem	4
Hyperbolic Relaxation of $k$-Locally Positive Semidefinite Matrices	4
Revisiting Landscape Analysis in Deep Neural Networks: Eliminating Decreasing Paths to Infinity	4
Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds	4
Relative Lipschitz-like Property of Parametric Systems via Projectional Coderivatives	4
Pragmatic Distributionally Robust Optimization for Simple Integer Recourse Models	4
Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators	4

Safe and Verified Gomory Mixed-Integer Cuts in a Rational Mixed-Integer Program Framework	4
Path-Following Methods for Maximum a Posteriori Estimators in Bayesian Hierarchical Models: How Estimates Depend on Hyperparameters	4
A Decomposition Augmented Lagrangian Method for Low-Rank Semidefinite Programming	4
Second Order Conditions to Decompose Smooth Functions as Sums of Squares	4
Global Complexity Bound of a Proximal ADMM for Linearly Constrained Nonseparable Nonconvex Composite Programming	3
Golden Ratio Primal-Dual Algorithm with Linesearch	3
Stability Analysis of Discrete-Time Linear Complementarity Systems	3
On Minimal Extended Representations of Generalized Power Cones	3
Differentiating Nonsmooth Solutions to Parametric Monotone Inclusion Problems	3
Partial Smoothness and Constant Rank	3
Accelerated Forward-Backward Optimization Using Deep Learning	3
Minimizing a Low-Dimensional Convex Function Over a High-Dimensional Cube	3
First-Order Algorithms for a Class of Fractional Optimization Problems	3
Maximizing Convergence Time in Network Averaging Dynamics Subject to Edge Removal	3
Construction of Multivariate Polynomial Approximation Kernels via Semidefinite Programming	3
Moderate Deviations and Invariance Principles for Sample Average Approximations	3
Vector Asymptotic Functions and Their Application to Multiobjective Optimization Problems	3
Two-Stage Distributionally Robust Conic Linear Programming over 1-Wasserstein Balls	3
Nonlinear Gradient Mappings and Stochastic Optimization: A General Framework with Applications to Heavy-Tail Noise	3
Approximation Guarantees for Min-Max-Min Robust Optimization and \({\boldsymbol{k}}\)-Adaptability Under Objective Uncertainty	3
Stochastic Trust-Region and Direct-Search Methods: A Weak Tail Bound Condition and Reduced Sample Sizing	3
Two-Stage Robust Quadratic Optimization with Equalities and Its Application to Optimal Power Flow	3
An Inexact \({q}\)-Order Regularized Proximal Newton Method for Nonconvex Composite Optimization	3
Derivative-Free Approaches for Chance-Constrained Problems with Right-Hand Side Uncertainty	3
Convexification with Bounded Gap for Randomly Projected Quadratic Optimization	3
Constrained, Global Optimization of Unknown Functions with Lipschitz Continuous Gradients	3
Sketched Newton--Raphson	3
Corrigendum: Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization	3
Finding Optimal Weight Vectors for Ridge Function Approximation in \(\boldsymbol{L}^{\boldsymbol{2}}\boldsymbol{(D)}\)	3
Benign Landscapes of Low-Dimensional Relaxations for Orthogonal Synchronization on General Graphs	3
Geometric Duality Results and Approximation Algorithms for Convex Vector Optimization Problems	3
Accelerated Minimax Algorithms Flock Together	3
Analysis of the SiMPL Method for Density-Based Topology Optimization	3
Second-Order Subdifferential Optimality Conditions in Nonsmooth Optimization	3
Convergence Rate of Random Scan Coordinate Ascent Variational Inference Under Log-Concavity	3
Model Construction for Convex-Constrained Derivative-Free Optimization	3
Towards Global Solutions for Nonconvex Two-Stage Stochastic Programs: A Polynomial Lower Approximation Approach	2
Block Majorization-Minimization with Diminishing Radius for Constrained Nonsmooth Nonconvex Optimization	2
Condition Number Minimization in Euclidean Jordan Algebras	2
Fast Gradient Algorithm with Dry-like Friction and Nonmonotone Line Search for Nonconvex Optimization Problems	2
Scaled, Inexact, and Adaptive Generalized FISTA for Strongly Convex Optimization	2
A Functional Model Method for Nonconvex Nonsmooth Conditional Stochastic Optimization	2
Consistency of Sample-Based Stationary Points for Infinite-Dimensional Stochastic Optimization	2
Clarke’s Tangent Cones, Subgradients, Optimality Conditions, and the Lipschitzness at Infinity	2
Bayesian Distributionally Robust Optimization	2
Constraint Qualifications and Strong Global Convergence Properties of an Augmented Lagrangian Method on Riemannian Manifolds	2
Proximal Gradient \(\boldsymbol{\mathcal{VU}}\)-Method with Superlinear Convergence for Nonsmooth Convex Optimization	2
Discrete Optimal Transport with Independent Marginals is #P-Hard	2
A Systematic Approach to Lyapunov Analyses of Continuous-Time Models in Convex Optimization	2
A Quadratically Convergent Sequential Programming Method for Second-Order Cone Programs Capable of Warm Starts	2
Exponential Convergence of Sum-of-Squares Hierarchies for Trigonometric Polynomials	2
Sion’s Minimax Theorem in Geodesic Metric Spaces and a Riemannian Extragradient Algorithm	2
Data-Driven Distributionally Robust Multiproduct Pricing Problems under Pure Characteristics Demand Models	2
Second-Order Optimality Conditions for General Nonconvex Optimization Problems and Variational Analysis of Disjunctive Systems	2
Exact Augmented Lagrangian Duality for Mixed Integer Convex Optimization	2
Faster Lagrangian-Based Methods in Convex Optimization	2
Simple and Optimal Methods for Stochastic Variational Inequalities, II: Markovian Noise and Policy Evaluation in Reinforcement Learning	2
On Obtaining the Convex Hull of Quadratic Inequalities via Aggregations	2
A Two-Timescale Stochastic Algorithm Framework for Bilevel Optimization: Complexity Analysis and Application to Actor-Critic	2
Complexity-Optimal and Parameter-Free First-Order Methods for Finding Stationary Points of Composite Optimization Problems	2
A Solution Method for Arbitrary Polyhedral Convex Set Optimization Problems	2
Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping	2
Certifying the Absence of Spurious Local Minima at Infinity	2
Addressing Hierarchical Jointly Convex Generalized Nash Equilibrium Problems with Nonsmooth Payoffs	2
Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training	2
Fréchet Second-Order Subdifferentials of Lagrangian Functions and Optimality Conditions	2
A Decomposition Algorithm for Two-Stage Stochastic Programs with Nonconvex Recourse Functions	2
Approximating Higher-Order Derivative Tensors Using Secant Updates	2
A Hierarchy of Standard Polynomial Programming Formulations for the Maximum Clique Problem	2
Sharper Bounds for Proximal Gradient Algorithms with Errors	2
Openness, Hölder Metric Regularity, and Hölder Continuity Properties of Semialgebraic Set-Valued Maps	2
Large-Scale Nonconvex Optimization: Randomization, Gap Estimation, and Numerical Resolution	2
Revisiting Spectral Bundle Methods: Primal-Dual (Sub)linear Convergence Rates	2
Linear Convergence of a Proximal Alternating Minimization Method with Extrapolation for \(\boldsymbol{\ell_1}\) -Norm Principal Component Analysis	2
TS-RSR: A Provably Efficient Approach for Batch Bayesian Optimization	2
Convergence Properties of Proximal (Sub)gradient Methods without Convexity or Smoothness of Any of the Functions	2
Alternating Proximal-Gradient Steps for (Stochastic) Nonconvex-Concave Minimax Problems	2
Exponential Decay of Sensitivity in Graph-Structured Nonlinear Programs	2
A Feasible Method for General Convex Low-Rank SDP Problems	2
Extending the Rademacher Theorem to Set-Valued Maps	2
Space Mapping for PDE Constrained Shape Optimization	2
Global Linear Convergence of Evolution Strategies on More than Smooth Strongly Convex Functions	2
Simple and Optimal Methods for Stochastic Variational Inequalities, I: Operator Extrapolation	2
A Variational Approach to Weakly Continuous Relations in Banach Spaces	2
A Finitely Convergent Circumcenter Method for the Convex Feasibility Problem	2
The Semiconvex Regularization of Functions	2
Affinely Adjustable Robust Linear Complementarity Problems	2
Certifying Solutions of Degenerate Semidefinite Programs	2
The Derivatives of Sinkhorn–Knopp Converge	2
Maximal Monotonicity and Cyclic Involutivity of Multiconjugate Convex Functions	2
Error Bound Characterizations of the Conical Constraint Qualification in Convex Programming	2
Provably Accelerated Decentralized Gradient Methods Over Unbalanced Directed Graphs	2
Provably Faster Gradient Descent via Long Steps	2
Robust Accelerated Primal-Dual Methods for Computing Saddle Points	2
Finding Sparse Solutions for Packing and Covering Semidefinite Programs	2