SIAM Journal on Optimization

Article	Citations
Maximum A Posteriori Inference of Random Dot Product Graphs via Conic Programming	48
Occupation Measure Relaxations in Variational Problems: The Role of Convexity	45
An Approximation-Based Regularized Extra-Gradient Method for Monotone Variational Inequalities	31
Reducing Nonnegativity over General Semialgebraic Sets to Nonnegativity over Simple Sets	28
Variational Convexity of Functions and Variational Sufficiency in Optimization	26
A Descent Algorithm for the Optimal Control of ReLU Neural Network Informed PDEs Based on Approximate Directional Derivatives	24
Optimal Self-Concordant Barriers for Quantum Relative Entropies	23
High Probability Complexity Bounds for Adaptive Step Search Based on Stochastic Oracles	21
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
Convex Bi-level Optimization Problems with Nonsmooth Outer Objective Function	18
Orthogonal Trace-Sum Maximization: Tightness of the Semidefinite Relaxation and Guarantee of Locally Optimal Solutions	18
A Subspace Acceleration Method for Minimization Involving a Group Sparsity-Inducing Regularizer	17
Refined TSSOS	17
Fenchel–Young Inequality with a Remainder and Applications to Convex Duality and Optimal Transport	17
Fenchel Duality and a Separation Theorem on Hadamard Manifolds	17
On a Differential Generalized Nash Equilibrium Problem with Mean Field Interaction	16
The Bipartite Boolean Quadric Polytope with Multiple-Choice Constraints	15
The Rate of Convergence of Bregman Proximal Methods: Local Geometry Versus Regularity Versus Sharpness	14
On the Geometric Convergence of Byzantine-Resilient Distributed Optimization Algorithms	14
Solution of Mismatched Monotone+Lipschitz Inclusion Problems	14
Fast Computation of Optimal Transport via Entropy-Regularized Extragradient Methods	14
The Computation of Approximate Feedback Stackelberg Equilibria in Multiplayer Nonlinear Constrained Dynamic Games	14
Linear Programming on the Stiefel Manifold	13

Difference-of-Convex Algorithms for a Class of Sparse Group $\ell_0$ Regularized Optimization Problems	13
Subgradient Sampling for Nonsmooth Nonconvex Minimization	13
Harnessing Structure in Composite Nonsmooth Minimization	13
The Ratio-Cut Polytope and K-Means Clustering	12
Optimal Convergence Rates for the Proximal Bundle Method	12
On the Generalized $\vartheta$-Number and Related Problems for Highly Symmetric Graphs	11
Decomposition Methods for Global Solution of Mixed-Integer Linear Programs	11
A Family of \(\boldsymbol{s}\)-Rectangular Robust MDPs: Relative Conservativeness, Asymptotic Analyses, and Finite-Sample Properties	11
Using Taylor-Approximated Gradients to Improve the Frank–Wolfe Method for Empirical Risk Minimization	11
Weighted Geometric Mean, Minimum Mediated Set, and Optimal Simple Second-Order Cone Representation	11
Understanding the Influence of Digraphs on Decentralized Optimization: Effective Metrics, Lower Bound, and Optimal Algorithm	10
Parabolic Optimal Control Problems with Combinatorial Switching Constraints, Part I: Convex Relaxations	10
ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints	10
Distributionally Robust Two-Stage Stochastic Programming	10
On the Complexity of Matrix Putinar’s Positivstellensätz	10
Convergent Algorithms for a Class of Convex Semi-infinite Programs	10
Convergence Analyses of Davis–Yin Splitting via Scaled Relative Graphs	10
Scalable Frank–Wolfe on Generalized Self-Concordant Functions via Simple Steps	9
Continuous Newton-like Methods Featuring Inertia and Variable Mass	9
Escaping Unknown Discontinuous Regions in Blackbox Optimization	9
Optimization on the Euclidean Unit Sphere	9
On the Divergence of Decentralized Nonconvex Optimization	9
A Disjunctive Cutting Plane Algorithm for Bilinear Programming	9
A Regularized Newton Method for \({\boldsymbol{\ell}}_{q}\) -Norm Composite Optimization Problems	9
Degenerate Preconditioned Proximal Point Algorithms	8
The Stochastic Auxiliary Problem Principle in Banach Spaces: Measurability and Convergence	8
Strong Convergence for the Alternating Halpern–Mann Iteration in CAT(0) Spaces	8
A Search-Free \({O(1/{k}^{3/2})}\) Homotopy Inexact Proximal-Newton Extragradient Algorithm for Monotone Variational Inequalities	8
Consensus-Based Optimization Methods Converge Globally	8
Interior Point Methods Can Exploit Structure of Convex Piecewise Linear Functions with Application in Radiation Therapy	8
First-Order Penalty Methods for Bilevel Optimization	8
Decentralized Gradient Descent Maximization Method for Composite Nonconvex Strongly-Concave Minimax Problems	8
Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients	8
Mini-Batch Risk Forms	8
Fisher–Rao Gradient Flows of Linear Programs and State-Action Natural Policy Gradients	7
Linearly Constrained Nonsmooth Optimization for Training Autoencoders	7
Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems	7
Minimal Pairs of Convex Sets Which Share a Recession Cone	7
On Enhanced KKT Optimality Conditions for Smooth Nonlinear Optimization	7
Dynamic Stochastic Variational Inequalities and Convergence of Discrete Approximation	7
Proximity Operators of Perspective Functions with Nonlinear Scaling	7
An Exact Method for Nonlinear Network Flow Interdiction Problems	7
MINRES: From Negative Curvature Detection to Monotonicity Properties	7
Algorithms to Solve Unbounded Convex Vector Optimization Problems	7
A Newton-CG Based Barrier Method for Finding a Second-Order Stationary Point of Nonconvex Conic Optimization with Complexity Guarantees	7
Piecewise Polyhedral Relaxations of Multilinear Optimization	7
Frugal Splitting Operators: Representation, Minimal Lifting, and Convergence	6
Column $\ell_{2,0}$-Norm Regularized Factorization Model of Low-Rank Matrix Recovery and Its Computation	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

A Noise-Tolerant Quasi-Newton Algorithm for Unconstrained Optimization	6
Bayesian Joint Chance Constrained Optimization: Approximations and Statistical Consistency	6
Subdifferentially Polynomially Bounded Functions and Gaussian Smoothing–Based Zeroth-Order Optimization	6
Accelerating Preconditioned ADMM via Degenerate Proximal Point Mappings	6
Fast Decentralized Nonconvex Finite-Sum Optimization with Recursive Variance Reduction	6
Performance Bounds for PDE-Constrained Optimization under Uncertainty	6
Square Root LASSO: Well-Posedness, Lipschitz Stability, and the Tuning Trade-Off	6
A Dynamic Smoothing Technique for a Class of Nonsmooth Optimization Problems on Manifolds	6
Super-Universal Regularized Newton Method	5
Convergence Analysis of a Norm Minimization-Based Convex Vector Optimization Algorithm	5
Regularized Newton Method with Global \({\boldsymbol{\mathcal{O}(1/{k}^2)}}\) Convergence	5
Convergence Rate of Inexact Proximal Point Algorithms for Operator with Hölder Metric Subregularity	5
Active-Set Identification with Complexity Guarantees of an Almost Cyclic 2-Coordinate Descent Method with Armijo Line Search	5
Constrained Consensus-Based Optimization	5
Corrigendum: Convex Optimization Problems on Differentiable Sets	5
From Calmness to Hoffman Constants for Linear Semi-infinite Inequality Systems	5
Evolution of Mixed Strategies in Monotone Games	5
Adaptive Partitioning for Chance-Constrained Problems with Finite Support	5
A Branch-and-Bound Algorithm for Nonconvex Nash Equilibrium Problems	5
On Cutting Plane Algorithms for Nonlinear Binary Optimization	5
An Improved Unconstrained Approach for Bilevel Optimization	5
Randomized Douglas–Rachford Methods for Linear Systems: Improved Accuracy and Efficiency	5
Uncertainty Preferences in Robust Mixed-Integer Linear Optimization with Endogenous Uncertainty	5
Cyclic Coordinate Dual Averaging with Extrapolation	5
New Methods for Parametric Optimization via Differential Equations	5
Dualities for Non-Euclidean Smoothness and Strong Convexity under the Light of Generalized Conjugacy	5
Complexity of Finite-Sum Optimization with Nonsmooth Composite Functions and Non-Lipschitz Regularization	5
Dual Certificates and Efficient Rational Sum-of-Squares Decompositions for Polynomial Optimization over Compact Sets	5
How Do Exponential Size Solutions Arise in Semidefinite Programming?	5
A Unified Framework for Pricing in Nonconvex Resource Allocation Games	5
A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods	5
Sequential Quadratic Optimization for Stochastic Optimization with Deterministic Nonlinear Inequality and Equality Constraints	5
From the Ravine Method to the Nesterov Method and Vice Versa: A Dynamical System Perspective	5
Accelerated First-Order Methods for Convex Optimization with Locally Lipschitz Continuous Gradient	4
Sample Size Estimates for Risk-Neutral Semilinear PDE-Constrained Optimization	4
Kurdyka–Łojasiewicz Exponent via Hadamard Parametrization	4
Tight Error Bounds for the Sign-Constrained Stiefel Manifold	4
Strong Variational Sufficiency for Nonlinear Semidefinite Programming and Its Implications	4
Bregman Proximal Point Algorithm Revisited: A New Inexact Version and Its Inertial Variant	4
Path-Following Methods for Maximum a Posteriori Estimators in Bayesian Hierarchical Models: How Estimates Depend on Hyperparameters	4
Bounds for Multistage Mixed-Integer Distributionally Robust Optimization	4
Shape Optimization for Variational Inequalities: The Scalar Tresca Friction Problem	4
A Stochastic-Gradient-Based Interior-Point Algorithm for Solving Smooth Bound-Constrained Optimization Problems	4
Bias Reduction in Sample-Based Optimization	4
Policy Mirror Descent Inherently Explores Action Space	4
Projected Gradient Descent Accumulates at Bouligand Stationary Points	4
Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators	4
Iteration Complexity of an Inner Accelerated Inexact Proximal Augmented Lagrangian Method Based on the Classical Lagrangian Function	4
Strongly Stable Stationary Points for a Class of Generalized Equations	4
Safe and Verified Gomory Mixed-Integer Cuts in a Rational Mixed-Integer Program Framework	4
An Efficient Sieving-Based Secant Method for Sparse Optimization Problems with Least-Squares Constraints	4
Effective Scenarios in Multistage Distributionally Robust Optimization with a Focus on Total Variation Distance	4
Subset Selection and the Cone of Factor-Width-kMatrices	4
Bayesian Optimization with Expensive Integrands	4
A Semismooth Newton Stochastic Proximal Point Algorithm with Variance Reduction	4
A Decomposition Augmented Lagrangian Method for Low-Rank Semidefinite Programming	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
Aubin Property and Strong Regularity Are Equivalent for Nonlinear Second-Order Cone Programming	4
Hyperbolic Relaxation of $k$-Locally Positive Semidefinite Matrices	4
Second Order Conditions to Decompose Smooth Functions as Sums of Squares	4
Zeroth-Order Stochastic Compositional Algorithms for Risk-Aware Learning	4
Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature	4
Accelerating Primal-Dual Methods for Regularized Markov Decision Processes	3
Hybrid Algorithms for Finding a D-Stationary Point of a Class of Structured Nonsmooth DC Minimization	3
Corrigendum: Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization	3
Vector Asymptotic Functions and Their Application to Multiobjective Optimization Problems	3
Geometric Duality Results and Approximation Algorithms for Convex Vector Optimization Problems	3
Partial Smoothness and Constant Rank	3
Derivative-Free Approaches for Chance-Constrained Problems with Right-Hand Side Uncertainty	3
Convexification with Bounded Gap for Randomly Projected Quadratic Optimization	3
Benign Landscapes of Low-Dimensional Relaxations for Orthogonal Synchronization on General Graphs	3
General Feasibility Bounds for Sample Average Approximation via Vapnik--Chervonenkis Dimension	3
First-Order Methods for Problems with $O$(1) Functional Constraints Can Have Almost the Same Convergence Rate as for Unconstrained Problems	3
Revisiting Landscape Analysis in Deep Neural Networks: Eliminating Decreasing Paths to Infinity	3
Stability Analysis of Discrete-Time Linear Complementarity Systems	3
Golden Ratio Primal-Dual Algorithm with Linesearch	3
Revisiting Spectral Bundle Methods: Primal-Dual (Sub)linear Convergence Rates	3
An Inexact \({q}\)-Order Regularized Proximal Newton Method for Nonconvex Composite Optimization	3
Moderate Deviations and Invariance Principles for Sample Average Approximations	3
On Minimal Extended Representations of Generalized Power Cones	3

Cutting Plane Generation through Sparse Principal Component Analysis	3
Nonlinear Gradient Mappings and Stochastic Optimization: A General Framework with Applications to Heavy-Tail Noise	3
Convergence of a Class of Nonmonotone Descent Methods for Kurdyka–Łojasiewicz Optimization Problems	3
Two-Stage Distributionally Robust Conic Linear Programming over 1-Wasserstein Balls	3
Various Notions of Nonexpansiveness Coincide for Proximal Mappings of Functions	3
Pragmatic Distributionally Robust Optimization for Simple Integer Recourse Models	3
Relative Lipschitz-like Property of Parametric Systems via Projectional Coderivatives	3
Sketched Newton--Raphson	3
Maximizing Convergence Time in Network Averaging Dynamics Subject to Edge Removal	3
Second-Order Subdifferential Optimality Conditions in Nonsmooth Optimization	3
Global Complexity Bound of a Proximal ADMM for Linearly Constrained Nonseparable Nonconvex Composite Programming	3
Convergence Rate of Random Scan Coordinate Ascent Variational Inference Under Log-Concavity	3
Stochastic Trust-Region and Direct-Search Methods: A Weak Tail Bound Condition and Reduced Sample Sizing	3
Model Construction for Convex-Constrained Derivative-Free Optimization	3
Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds	3
Sharp and Fast Bounds for the Celis-Dennis-Tapia Problem	3
Finding Optimal Weight Vectors for Ridge Function Approximation in \(\boldsymbol{L}^{\boldsymbol{2}}\boldsymbol{(D)}\)	2
Provably Accelerated Decentralized Gradient Methods Over Unbalanced Directed Graphs	2
First-Order Algorithms for a Class of Fractional Optimization Problems	2
Certifying the Absence of Spurious Local Minima at Infinity	2
A Functional Model Method for Nonconvex Nonsmooth Conditional Stochastic Optimization	2
Accelerated Forward-Backward Optimization Using Deep Learning	2
Approximation Guarantees for Min-Max-Min Robust Optimization and \({\boldsymbol{k}}\)-Adaptability Under Objective Uncertainty	2
Faster Lagrangian-Based Methods in Convex Optimization	2
A Two-Timescale Stochastic Algorithm Framework for Bilevel Optimization: Complexity Analysis and Application to Actor-Critic	2
Sharper Bounds for Proximal Gradient Algorithms with Errors	2
A Quadratically Convergent Sequential Programming Method for Second-Order Cone Programs Capable of Warm Starts	2
Consistency of Sample-Based Stationary Points for Infinite-Dimensional Stochastic Optimization	2
A Feasible Method for General Convex Low-Rank SDP Problems	2
A Hierarchy of Standard Polynomial Programming Formulations for the Maximum Clique Problem	2
Large-Scale Nonconvex Optimization: Randomization, Gap Estimation, and Numerical Resolution	2
Constraint Qualifications and Strong Global Convergence Properties of an Augmented Lagrangian Method on Riemannian Manifolds	2
Exact Augmented Lagrangian Duality for Mixed Integer Convex Optimization	2
Simple and Optimal Methods for Stochastic Variational Inequalities, I: Operator Extrapolation	2
Maximal Monotonicity and Cyclic Involutivity of Multiconjugate Convex Functions	2
Openness, Hölder Metric Regularity, and Hölder Continuity Properties of Semialgebraic Set-Valued Maps	2
Bayesian Distributionally Robust Optimization	2
Analysis of the SiMPL Method for Density-Based Topology Optimization	2
A Solution Method for Arbitrary Polyhedral Convex Set Optimization Problems	2
Accelerated Minimax Algorithms Flock Together	2
Fast Gradient Algorithm with Dry-like Friction and Nonmonotone Line Search for Nonconvex Optimization Problems	2
Two-Stage Robust Quadratic Optimization with Equalities and Its Application to Optimal Power Flow	2
Provably Faster Gradient Descent via Long Steps	2
Error Bound Characterizations of the Conical Constraint Qualification in Convex Programming	2
Clarke’s Tangent Cones, Subgradients, Optimality Conditions, and the Lipschitzness at Infinity	2
Finding Sparse Solutions for Packing and Covering Semidefinite Programs	2
The Derivatives of Sinkhorn–Knopp Converge	2
Addressing Hierarchical Jointly Convex Generalized Nash Equilibrium Problems with Nonsmooth Payoffs	2
Affinely Adjustable Robust Linear Complementarity Problems	2
A Variational Approach to Weakly Continuous Relations in Banach Spaces	2
Alternating Proximal-Gradient Steps for (Stochastic) Nonconvex-Concave Minimax Problems	2
Robust Accelerated Primal-Dual Methods for Computing Saddle Points	2
Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training	2
Data-Driven Distributionally Robust Multiproduct Pricing Problems under Pure Characteristics Demand Models	2
Minimizing a Low-Dimensional Convex Function Over a High-Dimensional Cube	2
Convergence Properties of Proximal (Sub)gradient Methods without Convexity or Smoothness of Any of the Functions	2
Differentiating Nonsmooth Solutions to Parametric Monotone Inclusion Problems	2
Space Mapping for PDE Constrained Shape Optimization	2
Constrained, Global Optimization of Unknown Functions with Lipschitz Continuous Gradients	2
Second-Order Optimality Conditions for General Nonconvex Optimization Problems and Variational Analysis of Disjunctive Systems	2
Construction of Multivariate Polynomial Approximation Kernels via Semidefinite Programming	2
Sion’s Minimax Theorem in Geodesic Metric Spaces and a Riemannian Extragradient Algorithm	2
Monotonicity in Quadratically Regularized Linear Programs	2
A Systematic Approach to Lyapunov Analyses of Continuous-Time Models in Convex Optimization	2
Discrete Optimal Transport with Independent Marginals is #P-Hard	2
Condition Number Minimization in Euclidean Jordan Algebras	2
Certifying Solutions of Degenerate Semidefinite Programs	2
A Finitely Convergent Circumcenter Method for the Convex Feasibility Problem	2
Exponential Convergence of Sum-of-Squares Hierarchies for Trigonometric Polynomials	2
Block Majorization-Minimization with Diminishing Radius for Constrained Nonsmooth Nonconvex Optimization	2
Approximating Higher-Order Derivative Tensors Using Secant Updates	2
Simple and Optimal Methods for Stochastic Variational Inequalities, II: Markovian Noise and Policy Evaluation in Reinforcement Learning	2
Linear Convergence of a Proximal Alternating Minimization Method with Extrapolation for \(\boldsymbol{\ell_1}\) -Norm Principal Component Analysis	2
A Decomposition Algorithm for Two-Stage Stochastic Programs with Nonconvex Recourse Functions	2
Fréchet Second-Order Subdifferentials of Lagrangian Functions and Optimality Conditions	2