SIAM Journal on Optimization

Article	Citations
Maximum A Posteriori Inference of Random Dot Product Graphs via Conic Programming	42
Convex Bi-level Optimization Problems with Nonsmooth Outer Objective Function	41
A Correlatively Sparse Lagrange Multiplier Expression Relaxation for Polynomial Optimization	27
Bregman Finito/MISO for Nonconvex Regularized Finite Sum Minimization without Lipschitz Gradient Continuity	25
Reducing Nonnegativity over General Semialgebraic Sets to Nonnegativity over Simple Sets	21
On Difference-of-SOS and Difference-of-Convex-SOS Decompositions for Polynomials	21
High Probability Complexity Bounds for Adaptive Step Search Based on Stochastic Oracles	18
Occupation Measure Relaxations in Variational Problems: The Role of Convexity	18
Orthogonal Trace-Sum Maximization: Tightness of the Semidefinite Relaxation and Guarantee of Locally Optimal Solutions	17
A Descent Algorithm for the Optimal Control of ReLU Neural Network Informed PDEs Based on Approximate Directional Derivatives	16
Optimal Self-Concordant Barriers for Quantum Relative Entropies	16
Fenchel–Young Inequality with a Remainder and Applications to Convex Duality and Optimal Transport	15
Variational Convexity of Functions and Variational Sufficiency in Optimization	15
Harnessing Structure in Composite Nonsmooth Minimization	15
The Rate of Convergence of Bregman Proximal Methods: Local Geometry Versus Regularity Versus Sharpness	14
Fenchel Duality and a Separation Theorem on Hadamard Manifolds	13
A Subspace Acceleration Method for Minimization Involving a Group Sparsity-Inducing Regularizer	13
Difference-of-Convex Algorithms for a Class of Sparse Group $\ell_0$ Regularized Optimization Problems	13
Optimal Convergence Rates for the Proximal Bundle Method	12
On a Differential Generalized Nash Equilibrium Problem with Mean Field Interaction	12
The Computation of Approximate Feedback Stackelberg Equilibria in Multiplayer Nonlinear Constrained Dynamic Games	12
Solution of Mismatched Monotone+Lipschitz Inclusion Problems	12
Linear Programming on the Stiefel Manifold	12
On the Geometric Convergence of Byzantine-Resilient Distributed Optimization Algorithms	11
The Ratio-Cut Polytope and K-Means Clustering	10

The Bipartite Boolean Quadric Polytope with Multiple-Choice Constraints	10
Subgradient Sampling for Nonsmooth Nonconvex Minimization	10
Weighted Geometric Mean, Minimum Mediated Set, and Optimal Simple Second-Order Cone Representation	9
Convergent Algorithms for a Class of Convex Semi-infinite Programs	9
A Family of \(\boldsymbol{s}\)-Rectangular Robust MDPs: Relative Conservativeness, Asymptotic Analyses, and Finite-Sample Properties	9
Decomposition Methods for Global Solution of Mixed-Integer Linear Programs	9
ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints	9
Using Taylor-Approximated Gradients to Improve the Frank–Wolfe Method for Empirical Risk Minimization	9
On the Generalized $\vartheta$-Number and Related Problems for Highly Symmetric Graphs	9
Parabolic Optimal Control Problems with Combinatorial Switching Constraints, Part I: Convex Relaxations	9
Convergence Analyses of Davis–Yin Splitting via Scaled Relative Graphs	8
Scalable Frank–Wolfe on Generalized Self-Concordant Functions via Simple Steps	8
A Search-Free \({O(1/{k}^{3/2})}\) Homotopy Inexact Proximal-Newton Extragradient Algorithm for Monotone Variational Inequalities	8
Escaping Unknown Discontinuous Regions in Blackbox Optimization	8
On the Complexity of Matrix Putinar’s Positivstellensätz	8
Optimization on the Euclidean Unit Sphere	8
A Disjunctive Cutting Plane Algorithm for Bilinear Programming	8
Distributionally Robust Two-Stage Stochastic Programming	8
Decentralized Gradient Descent Maximization Method for Composite Nonconvex Strongly-Concave Minimax Problems	8
Continuous Newton-like Methods Featuring Inertia and Variable Mass	8
Consensus-Based Optimization Methods Converge Globally	7
On the Divergence of Decentralized Nonconvex Optimization	7
Degenerate Preconditioned Proximal Point Algorithms	7
Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients	7
Mini-Batch Risk Forms	7
A Regularized Newton Method for \({\boldsymbol{\ell}}_{q}\) -Norm Composite Optimization Problems	7
On Enhanced KKT Optimality Conditions for Smooth Nonlinear Optimization	6
Interior Point Methods Can Exploit Structure of Convex Piecewise Linear Functions with Application in Radiation Therapy	6
MINRES: From Negative Curvature Detection to Monotonicity Properties	6
The Stochastic Auxiliary Problem Principle in Banach Spaces: Measurability and Convergence	6
Linearly Constrained Nonsmooth Optimization for Training Autoencoders	6
Minimal Pairs of Convex Sets Which Share a Recession Cone	6
Strong Convergence for the Alternating Halpern–Mann Iteration in CAT(0) Spaces	6
First-Order Penalty Methods for Bilevel Optimization	6
Proximity Operators of Perspective Functions with Nonlinear Scaling	6
Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems	5
A Newton-CG Based Barrier Method for Finding a Second-Order Stationary Point of Nonconvex Conic Optimization with Complexity Guarantees	5
An Exact Method for Nonlinear Network Flow Interdiction Problems	5
Frugal Splitting Operators: Representation, Minimal Lifting, and Convergence	5
Performance Bounds for PDE-Constrained Optimization under Uncertainty	5
A Dynamic Smoothing Technique for a Class of Nonsmooth Optimization Problems on Manifolds	5
Dynamic Stochastic Variational Inequalities and Convergence of Discrete Approximation	5
Algorithms to Solve Unbounded Convex Vector Optimization Problems	5
Piecewise Polyhedral Relaxations of Multilinear Optimization	5
Square Root LASSO: Well-Posedness, Lipschitz Stability, and the Tuning Trade-Off	5
Constrained Consensus-Based Optimization	5
Bayesian Joint Chance Constrained Optimization: Approximations and Statistical Consistency	5
A Noise-Tolerant Quasi-Newton Algorithm for Unconstrained Optimization	5
Column $\ell_{2,0}$-Norm Regularized Factorization Model of Low-Rank Matrix Recovery and Its Computation	5
Fast Decentralized Nonconvex Finite-Sum Optimization with Recursive Variance Reduction	5

A Sequential Quadratic Programming Algorithm for Nonsmooth Problems with Upper- \({\boldsymbol{\mathcal{C}^2}}\) Objective	5
Parameter-Free Accelerated Gradient Descent for Nonconvex Minimization	5
Active-Set Identification with Complexity Guarantees of an Almost Cyclic 2-Coordinate Descent Method with Armijo Line Search	4
A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods	4
From the Ravine Method to the Nesterov Method and Vice Versa: A Dynamical System Perspective	4
From Calmness to Hoffman Constants for Linear Semi-infinite Inequality Systems	4
A Branch-and-Bound Algorithm for Nonconvex Nash Equilibrium Problems	4
Adaptive Partitioning for Chance-Constrained Problems with Finite Support	4
Uncertainty Preferences in Robust Mixed-Integer Linear Optimization with Endogenous Uncertainty	4
Sequential Quadratic Optimization for Stochastic Optimization with Deterministic Nonlinear Inequality and Equality Constraints	4
Dual Certificates and Efficient Rational Sum-of-Squares Decompositions for Polynomial Optimization over Compact Sets	4
A Unified Framework for Pricing in Nonconvex Resource Allocation Games	4
Corrigendum: Convex Optimization Problems on Differentiable Sets	4
Randomized Douglas–Rachford Methods for Linear Systems: Improved Accuracy and Efficiency	4
Cyclic Coordinate Dual Averaging with Extrapolation	4
Super-Universal Regularized Newton Method	4
Convergence Analysis of a Norm Minimization-Based Convex Vector Optimization Algorithm	4
Complexity of Finite-Sum Optimization with Nonsmooth Composite Functions and Non-Lipschitz Regularization	4
Bregman Proximal Point Algorithm Revisited: A New Inexact Version and Its Inertial Variant	3
Hyperbolic Relaxation of $k$-Locally Positive Semidefinite Matrices	3
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	3
Shape Optimization for Variational Inequalities: The Scalar Tresca Friction Problem	3
Zeroth-Order Stochastic Compositional Algorithms for Risk-Aware Learning	3
An Efficient Sieving-Based Secant Method for Sparse Optimization Problems with Least-Squares Constraints	3
Regularized Newton Method with Global \({\boldsymbol{\mathcal{O}(1/{k}^2)}}\) Convergence	3
Bias Reduction in Sample-Based Optimization	3
A Semismooth Newton Stochastic Proximal Point Algorithm with Variance Reduction	3
Second Order Conditions to Decompose Smooth Functions as Sums of Squares	3
Kurdyka–Łojasiewicz Exponent via Hadamard Parametrization	3
Sample Size Estimates for Risk-Neutral Semilinear PDE-Constrained Optimization	3
Iteration Complexity of an Inner Accelerated Inexact Proximal Augmented Lagrangian Method Based on the Classical Lagrangian Function	3
Policy Mirror Descent Inherently Explores Action Space	3
Effective Scenarios in Multistage Distributionally Robust Optimization with a Focus on Total Variation Distance	3
Evolution of Mixed Strategies in Monotone Games	3
Bayesian Optimization with Expensive Integrands	3
Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature	3
Aubin Property and Strong Regularity Are Equivalent for Nonlinear Second-Order Cone Programming	3
Strongly Stable Stationary Points for a Class of Generalized Equations	3
A Decomposition Augmented Lagrangian Method for Low-Rank Semidefinite Programming	3
Bounds for Multistage Mixed-Integer Distributionally Robust Optimization	3
Accelerated First-Order Methods for Convex Optimization with Locally Lipschitz Continuous Gradient	3
Dualities for Non-Euclidean Smoothness and Strong Convexity under the Light of Generalized Conjugacy	3
An Improved Unconstrained Approach for Bilevel Optimization	3
Convergence Rate of Inexact Proximal Point Algorithms for Operator with Hölder Metric Subregularity	3
How Do Exponential Size Solutions Arise in Semidefinite Programming?	3
Subset Selection and the Cone of Factor-Width-kMatrices	3
Tight Error Bounds for the Sign-Constrained Stiefel Manifold	3
General Feasibility Bounds for Sample Average Approximation via Vapnik--Chervonenkis Dimension	2
Second-Order Subdifferential Optimality Conditions in Nonsmooth Optimization	2
Global Complexity Bound of a Proximal ADMM for Linearly Constrained Nonseparable Nonconvex Composite Programming	2
Relative Lipschitz-like Property of Parametric Systems via Projectional Coderivatives	2
Moderate Deviations and Invariance Principles for Sample Average Approximations	2
Various Notions of Nonexpansiveness Coincide for Proximal Mappings of Functions	2
Convexification with Bounded Gap for Randomly Projected Quadratic Optimization	2
Convergence of a Class of Nonmonotone Descent Methods for Kurdyka–Łojasiewicz Optimization Problems	2
Safe and Verified Gomory Mixed-Integer Cuts in a Rational Mixed-Integer Program Framework	2
Sketched Newton--Raphson	2
Approximation Guarantees for Min-Max-Min Robust Optimization and \({\boldsymbol{k}}\)-Adaptability Under Objective Uncertainty	2
Error Bound Characterizations of the Conical Constraint Qualification in Convex Programming	2
Cutting Plane Generation through Sparse Principal Component Analysis	2
An Inexact \({q}\)-Order Regularized Proximal Newton Method for Nonconvex Composite Optimization	2
Golden Ratio Primal-Dual Algorithm with Linesearch	2
Construction of Multivariate Polynomial Approximation Kernels via Semidefinite Programming	2
Corrigendum: Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization	2
Accelerated Minimax Algorithms Flock Together	2
Two-Stage Robust Quadratic Optimization with Equalities and Its Application to Optimal Power Flow	2
Vector Asymptotic Functions and Their Application to Multiobjective Optimization Problems	2
Accelerated Forward-Backward Optimization Using Deep Learning	2
Pragmatic Distributionally Robust Optimization for Simple Integer Recourse Models	2
Derivative-Free Approaches for Chance-Constrained Problems with Right-Hand Side Uncertainty	2
Hybrid Algorithms for Finding a D-Stationary Point of a Class of Structured Nonsmooth DC Minimization	2
Sion’s Minimax Theorem in Geodesic Metric Spaces and a Riemannian Extragradient Algorithm	2
Revisiting Landscape Analysis in Deep Neural Networks: Eliminating Decreasing Paths to Infinity	2
Strong Variational Sufficiency for Nonlinear Semidefinite Programming and Its Implications	2
First-Order Methods for Problems with $O$(1) Functional Constraints Can Have Almost the Same Convergence Rate as for Unconstrained Problems	2
Nonlinear Gradient Mappings and Stochastic Optimization: A General Framework with Applications to Heavy-Tail Noise	2
Differentiating Nonsmooth Solutions to Parametric Monotone Inclusion Problems	2
Benign Landscapes of Low-Dimensional Relaxations for Orthogonal Synchronization on General Graphs	2
Minimizing a Low-Dimensional Convex Function Over a High-Dimensional Cube	2
Stochastic Trust-Region and Direct-Search Methods: A Weak Tail Bound Condition and Reduced Sample Sizing	2

Provably Faster Gradient Descent via Long Steps	2
On Minimal Extended Representations of Generalized Power Cones	2
Partial Smoothness and Constant Rank	2
Geometric Duality Results and Approximation Algorithms for Convex Vector Optimization Problems	2
Two-Stage Distributionally Robust Conic Linear Programming over 1-Wasserstein Balls	2
Maximizing Convergence Time in Network Averaging Dynamics Subject to Edge Removal	2
Accelerating Primal-Dual Methods for Regularized Markov Decision Processes	2
Convergence Rate of Random Scan Coordinate Ascent Variational Inference Under Log-Concavity	2
Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators	2
Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds	2
Path-Following Methods for Maximum a Posteriori Estimators in Bayesian Hierarchical Models: How Estimates Depend on Hyperparameters	2
First-Order Algorithms for a Class of Fractional Optimization Problems	2
Openness, Hölder Metric Regularity, and Hölder Continuity Properties of Semialgebraic Set-Valued Maps	2
Constrained, Global Optimization of Unknown Functions with Lipschitz Continuous Gradients	2
Sharp and Fast Bounds for the Celis-Dennis-Tapia Problem	2
Revisiting Spectral Bundle Methods: Primal-Dual (Sub)linear Convergence Rates	2
Stability Analysis of Discrete-Time Linear Complementarity Systems	2
Model Construction for Convex-Constrained Derivative-Free Optimization	2
Clarke’s Tangent Cones, Subgradients, Optimality Conditions, and the Lipschitzness at Infinity	1
Robust Markov Decision Processes with Data-Driven, Distance-Based Ambiguity Sets	1
A Systematic Approach to Lyapunov Analyses of Continuous-Time Models in Convex Optimization	1
Constrained Optimization in the Presence of Noise	1
Linear Convergence of a Proximal Alternating Minimization Method with Extrapolation for \(\boldsymbol{\ell_1}\) -Norm Principal Component Analysis	1
A Two-Time-Scale Stochastic Optimization Framework with Applications in Control and Reinforcement Learning	1
Robust Accelerated Primal-Dual Methods for Computing Saddle Points	1
DIMIX: Diminishing Mixing for Sloppy Agents	1
Pivot Rules for Circuit-Augmentation Algorithms in Linear Optimization	1
Alternating Proximal-Gradient Steps for (Stochastic) Nonconvex-Concave Minimax Problems	1
Global Linear Convergence of Evolution Strategies on More than Smooth Strongly Convex Functions	1
Simple and Optimal Methods for Stochastic Variational Inequalities, I: Operator Extrapolation	1
Exponential Convergence of Sum-of-Squares Hierarchies for Trigonometric Polynomials	1
A Hierarchy of Standard Polynomial Programming Formulations for the Maximum Clique Problem	1
Complexity-Optimal and Parameter-Free First-Order Methods for Finding Stationary Points of Composite Optimization Problems	1
Consistency of Sample-Based Stationary Points for Infinite-Dimensional Stochastic Optimization	1
Affinely Adjustable Robust Linear Complementarity Problems	1
Extending the Rademacher Theorem to Set-Valued Maps	1
A Finitely Convergent Circumcenter Method for the Convex Feasibility Problem	1
Sharper Bounds for Proximal Gradient Algorithms with Errors	1
Second-Order Optimality Conditions for General Nonconvex Optimization Problems and Variational Analysis of Disjunctive Systems	1
A Variational Approach to Weakly Continuous Relations in Banach Spaces	1
Space Mapping for PDE Constrained Shape Optimization	1
On the Global Convergence of Randomized Coordinate Gradient Descent for Nonconvex Optimization	1
Block Majorization-Minimization with Diminishing Radius for Constrained Nonsmooth Nonconvex Optimization	1
Model-Based Derivative-Free Methods for Convex-Constrained Optimization	1
Exact Augmented Lagrangian Duality for Mixed Integer Convex Optimization	1
Worst-Case Complexity of TRACE with Inexact Subproblem Solutions for Nonconvex Smooth Optimization	1
A Functional Model Method for Nonconvex Nonsmooth Conditional Stochastic Optimization	1
On Integrality in Semidefinite Programming for Discrete Optimization	1
Towards Global Solutions for Nonconvex Two-Stage Stochastic Programs: A Polynomial Lower Approximation Approach	1
Certifying the Absence of Spurious Local Minima at Infinity	1
Exponential Decay of Sensitivity in Graph-Structured Nonlinear Programs	1
Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training	1
Approximating Higher-Order Derivative Tensors Using Secant Updates	1
A Quadratically Convergent Sequential Programming Method for Second-Order Cone Programs Capable of Warm Starts	1
Addressing Hierarchical Jointly Convex Generalized Nash Equilibrium Problems with Nonsmooth Payoffs	1
Scaled, Inexact, and Adaptive Generalized FISTA for Strongly Convex Optimization	1
A Decomposition Algorithm for Two-Stage Stochastic Programs with Nonconvex Recourse Functions	1
Constraint Qualifications and Strong Global Convergence Properties of an Augmented Lagrangian Method on Riemannian Manifolds	1
Condition Number Minimization in Euclidean Jordan Algebras	1
Provably Accelerated Decentralized Gradient Methods Over Unbalanced Directed Graphs	1
Fast Gradient Algorithm with Dry-like Friction and Nonmonotone Line Search for Nonconvex Optimization Problems	1
A Nonparametric Robust Optimization Approach for Chance-Constrained Knapsack Problem	1
A Solution Method for Arbitrary Polyhedral Convex Set Optimization Problems	1
Approximating Min-Mean-Cycle for Low-Diameter Graphs in Near-Optimal Time and Memory	1
A Two-Timescale Stochastic Algorithm Framework for Bilevel Optimization: Complexity Analysis and Application to Actor-Critic	1
On Obtaining the Convex Hull of Quadratic Inequalities via Aggregations	1
Faster Lagrangian-Based Methods in Convex Optimization	1
Stochastic Decomposition Method for Two-Stage Distributionally Robust Linear Optimization	1
Convergence Properties of Proximal (Sub)gradient Methods without Convexity or Smoothness of Any of the Functions	1
Minimax Problems with Coupled Linear Constraints: Computational Complexity and Duality	1
Time-Varying Semidefinite Programming: Path Following a Burer–Monteiro Factorization	1
A Feasible Method for General Convex Low-Rank SDP Problems	1
Fréchet Second-Order Subdifferentials of Lagrangian Functions and Optimality Conditions	1
Simple and Optimal Methods for Stochastic Variational Inequalities, II: Markovian Noise and Policy Evaluation in Reinforcement Learning	1
Bayesian Distributionally Robust Optimization	1
The Derivatives of Sinkhorn–Knopp Converge	1
Large-Scale Nonconvex Optimization: Randomization, Gap Estimation, and Numerical Resolution	1
The Semiconvex Regularization of Functions	1
Discrete Optimal Transport with Independent Marginals is #P-Hard	1
Data-Driven Distributionally Robust Multiproduct Pricing Problems under Pure Characteristics Demand Models	1
Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping	1
Finding Sparse Solutions for Packing and Covering Semidefinite Programs	1
Maximal Monotonicity and Cyclic Involutivity of Multiconjugate Convex Functions	1