SIAM Journal on Optimization

Article	Citations
Generalized Penalty and Regularization Method for Differential Variational-Hemivariational Inequalities	75
Well-Posedness, Optimal Control, and Sensitivity Analysis for a Class of Differential Variational-Hemivariational Inequalities	66
TSSOS: A Moment-SOS Hierarchy That Exploits Term Sparsity	48
Convergence and Dynamical Behavior of the ADAM Algorithm for Nonconvex Stochastic Optimization	43
Chordal-TSSOS: A Moment-SOS Hierarchy That Exploits Term Sparsity with Chordal Extension	40
A Primal-Dual Algorithm with Line Search for General Convex-Concave Saddle Point Problems	34
Distributed Optimization Based on Gradient Tracking Revisited: Enhancing Convergence Rate via Surrogation	30
Operator Splitting for a Homogeneous Embedding of the Linear Complementarity Problem	25
Riemannian Conjugate Gradient Methods: General Framework and Specific Algorithms with Convergence Analyses	25
Global Convergence Rate Analysis of a Generic Line Search Algorithm with Noise	25
Weakly Convex Optimization over Stiefel Manifold Using Riemannian Subgradient-Type Methods	23
A Bregman Forward-Backward Linesearch Algorithm for Nonconvex Composite Optimization: Superlinear Convergence to Nonisolated Local Minima	20
A Unified Approach to Mixed-Integer Optimization Problems With Logical Constraints	19
Riemannian Optimization on the Symplectic Stiefel Manifold	19
Sequential Quadratic Optimization for Nonlinear Equality Constrained Stochastic Optimization	18
A Two-Timescale Stochastic Algorithm Framework for Bilevel Optimization: Complexity Analysis and Application to Actor-Critic	17
On a Semismooth* Newton Method for Solving Generalized Equations	17
Variable Metric Forward-Backward Algorithm for Composite Minimization Problems	17
Fast Decentralized Nonconvex Finite-Sum Optimization with Recursive Variance Reduction	17
An Interior-Point Approach for Solving Risk-Averse PDE-Constrained Optimization Problems with Coherent Risk Measures	17
Efficient Search of First-Order Nash Equilibria in Nonconvex-Concave Smooth Min-Max Problems	16
A Method with Convergence Rates for Optimization Problems with Variational Inequality Constraints	16
Simple and Optimal Methods for Stochastic Variational Inequalities, I: Operator Extrapolation	16
Faster Lagrangian-Based Methods in Convex Optimization	15
Equipping the Barzilai--Borwein Method with the Two Dimensional Quadratic Termination Property	15

An Accelerated Inexact Proximal Point Method for Solving Nonconvex-Concave Min-Max Problems	15
Analysis and Algorithms for Some Compressed Sensing Models Based on L1/L2 Minimization	14
Generalized Newton Algorithms for Tilt-Stable Minimizers in Nonsmooth Optimization	14
Distributed Variable Sample-Size Gradient-Response and Best-Response Schemes for Stochastic Nash Equilibrium Problems	14
Nonlinear Forward-Backward Splitting with Projection Correction	13
Trust-Region Newton-CG with Strong Second-Order Complexity Guarantees for Nonconvex Optimization	13
Greedy Quasi-Newton Methods with Explicit Superlinear Convergence	13
Stochastic Approximation for Optimization in Shape Spaces	13
Generalized Momentum-Based Methods: A Hamiltonian Perspective	12
Inexact High-Order Proximal-Point Methods with Auxiliary Search Procedure	12
Probabilistic Guarantees in Robust Optimization	12
Exponential Decay of Sensitivity in Graph-Structured Nonlinear Programs	11
The Computation of Approximate Generalized Feedback Nash Equilibria	11
Mathematical Foundations of Distributionally Robust Multistage Optimization	11
Sketched Newton--Raphson	11
MultiLevel Composite Stochastic Optimization via Nested Variance Reduction	10
Quadratic Convergence of Smoothing Newton's Method for 0/1 Loss Optimization	10
A Lagrange Multiplier Expression Method for Bilevel Polynomial Optimization	10
Convergence Analysis of Gradient Algorithms on Riemannian Manifolds without Curvature Constraints and Application to Riemannian Mass	10
A Noise-Tolerant Quasi-Newton Algorithm for Unconstrained Optimization	10
Necessary and Sufficient Optimality Conditions in DC Semi-infinite Programming	10
Difference-of-Convex Algorithms for a Class of Sparse Group $\ell_0$ Regularized Optimization Problems	10
Optimization under Rare Chance Constraints	10
Anisotropic Diffusion in Consensus-Based Optimization on the Sphere	10
Shortest Paths in Graphs of Convex Sets	9
Stochastic Multilevel Composition Optimization Algorithms with Level-Independent Convergence Rates	9
ADMM-Type Methods for Generalized Nash Equilibrium Problems in Hilbert Spaces	9
A Globally Convergent SQCQP Method for Multiobjective Optimization Problems	9
Local Convergence Analysis of Augmented Lagrangian Methods for Piecewise Linear-Quadratic Composite Optimization Problems	9
Constrained Consensus-Based Optimization	9
Convergence Rate Analysis of a Sequential Convex Programming Method with Line Search for a Class of Constrained Difference-of-Convex Optimization Problems	9
From the Ravine Method to the Nesterov Method and Vice Versa: A Dynamical System Perspective	9
Spectral Relaxations and Branching Strategies for Global Optimization of Mixed-Integer Quadratic Programs	8
On the Linear Convergence of the Multimarginal Sinkhorn Algorithm	8
Zeroth-Order Regularized Optimization (ZORO): Approximately Sparse Gradients and Adaptive Sampling	8
Nonlinear Conjugate Gradient Methods for PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics	8
Exponential Convergence of Sum-of-Squares Hierarchies for Trigonometric Polynomials	8
Interior Point Methods Can Exploit Structure of Convex Piecewise Linear Functions with Application in Radiation Therapy	8
An Optimal-Storage Approach to Semidefinite Programming Using Approximate Complementarity	8
Optimal Convergence Rates for the Proximal Bundle Method	8
Outlier Detection in Time Series via Mixed-Integer Conic Quadratic Optimization	8
Existence Results for Generalized Nash Equilibrium Problems under Continuity-Like Properties of Sublevel Sets	8
The Condition Number of Riemannian Approximation Problems	8
The Ratio-Cut Polytope and K-Means Clustering	8
The Landweber Operator Approach to the Split Equality Problem	8
Adaptive Sequential Sample Average Approximation for Solving Two-Stage Stochastic Linear Programs	7
On the Complexity of Inverse Mixed Integer Linear Optimization	7
Scaled, Inexact, and Adaptive Generalized FISTA for Strongly Convex Optimization	7
Unified Acceleration of High-Order Algorithms under General Hölder Continuity	7
An SQP Method for Equality Constrained Optimization on Hilbert Manifolds	7

On the Intrinsic Core of Convex Cones in Real Linear Spaces	7
Symmetry Reduction in AM/GM-Based Optimization	7
Distributionally Robust Partially Observable Markov Decision Process with Moment-Based Ambiguity	7
Golden Ratio Primal-Dual Algorithm with Linesearch	7
A Proximal Quasi-Newton Trust-Region Method for Nonsmooth Regularized Optimization	7
Affinely Adjustable Robust Linear Complementarity Problems	7
Error Bounds and Singularity Degree in Semidefinite Programming	7
Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds	7
On High-Order Multilevel Optimization Strategies	7
Degenerate Preconditioned Proximal Point Algorithms	7
Global Linear Convergence of Evolution Strategies on More than Smooth Strongly Convex Functions	6
Bregman Proximal Point Algorithm Revisited: A New Inexact Version and Its Inertial Variant	6
Stochastic Dynamic Linear Programming: A Sequential Sampling Algorithm for Multistage Stochastic Linear Programming	6
Simple and Optimal Methods for Stochastic Variational Inequalities, II: Markovian Noise and Policy Evaluation in Reinforcement Learning	6
Efficient Algorithms for Distributionally Robust Stochastic Optimization with Discrete Scenario Support	6
Distance-Sparsity Transference for Vertices of Corner Polyhedra	6
The Generalized Bregman Distance	6
On the Convergence of Stochastic Primal-Dual Hybrid Gradient	6
Convergence of Random Reshuffling under the Kurdyka–Łojasiewicz Inequality	6
Accelerated Iterative Regularization via Dual Diagonal Descent	6
Split-Douglas--Rachford Algorithm for Composite Monotone Inclusions and Split-ADMM	6
Pivot Rules for Circuit-Augmentation Algorithms in Linear Optimization	6
Finite Convergence of Sum-of-Squares Hierarchies for the Stability Number of a Graph	6
Tikhonov Regularization of a Perturbed Heavy Ball System with Vanishing Damping	6
Policy Mirror Descent for Regularized Reinforcement Learning: A Generalized Framework with Linear Convergence	6
Exact Penalty Function for $\ell_{2,1}$ Norm Minimization over the Stiefel Manifold	6
Distributionally Robust Two-Stage Stochastic Programming	6
Making the Last Iterate of SGD Information Theoretically Optimal	6
Convergence of Newton-MR under Inexact Hessian Information	6
Robust Markov Decision Processes with Data-Driven, Distance-Based Ambiguity Sets	5
Reformulation of the M-Stationarity Conditions as a System of Discontinuous Equations and Its Solution by a Semismooth Newton Method	5
An Efficient Quadratic Programming Relaxation Based Algorithm for Large-Scale MIMO Detection	5
Generalized Leibniz Rules and Lipschitzian Stability for Expected-Integral Mappings	5
New First-Order Algorithms for Stochastic Variational Inequalities	5
Optimality Conditions for Convex Stochastic Optimization Problems in Banach Spaces with Almost Sure State Constraints	5
Convergence Rates of the Heavy Ball Method for Quasi-strongly Convex Optimization	5
A Dimension Reduction Technique for Large-Scale Structured Sparse Optimization Problems with Application to Convex Clustering	5
An Accelerated Method for Derivative-Free Smooth Stochastic Convex Optimization	5
Condition Number Minimization in Euclidean Jordan Algebras	5
Iteration Complexity of an Inner Accelerated Inexact Proximal Augmented Lagrangian Method Based on the Classical Lagrangian Function	5
Improved Performance Guarantees for Orthogonal Group Synchronization via Generalized Power Method	5
A Global Dual Error Bound and Its Application to the Analysis of Linearly Constrained Nonconvex Optimization	5
Genericity Analysis of Multi-Leader-Disjoint-Followers Game	5
Infeasibility and Error Bound Imply Finite Convergence of Alternating Projections	5
A Proximal Bundle Variant with Optimal Iteration-Complexity for a Large Range of Prox Stepsizes	5
Amenable Cones Are Particularly Nice	5
Sum-of-Squares Hierarchies for Polynomial Optimization and the Christoffel--Darboux Kernel	5
Hyperbolic Relaxation of $k$-Locally Positive Semidefinite Matrices	4
Stochastic Approximation Methods for the Two-Stage Stochastic Linear Complementarity Problem	4
Dual Space Preconditioning for Gradient Descent	4
Stochastic Difference-of-Convex-Functions Algorithms for Nonconvex Programming	4
An Average Curvature Accelerated Composite Gradient Method for Nonconvex Smooth Composite Optimization Problems	4
Model-Based Derivative-Free Methods for Convex-Constrained Optimization	4
Bayesian Stochastic Gradient Descent for Stochastic Optimization with Streaming Input Data	4
Higher-Order Methods for Convex-Concave Min-Max Optimization and Monotone Variational Inequalities	4
A Systematic Approach to Lyapunov Analyses of Continuous-Time Models in Convex Optimization	4
Generating Feasible Points for Mixed-Integer Convex Optimization Problems by Inner Parallel Cuts	4
Regularized Newton Method with Global \({\boldsymbol{\mathcal{O}(1/{k}^2)}}\) Convergence	4
Sequential Linearization Method for Bound-Constrained Mathematical Programs with Complementarity Constraints	4
The Convergence of the Generalized Lanczos Trust-Region Method for the Trust-Region Subproblem	4
Optimal Self-Concordant Barriers for Quantum Relative Entropies	4
Randomized Sketching Algorithms for Low-Memory Dynamic Optimization	4
Exact Semidefinite Programming Bounds for Packing Problems	4
Stochastic Saddle Point Problems with Decision-Dependent Distributions	4
Space Mapping for PDE Constrained Shape Optimization	4
Alternating Proximal-Gradient Steps for (Stochastic) Nonconvex-Concave Minimax Problems	4
Randomized Douglas–Rachford Methods for Linear Systems: Improved Accuracy and Efficiency	4
Fenchel Duality and a Separation Theorem on Hadamard Manifolds	4
Stochastic Decomposition Method for Two-Stage Distributionally Robust Linear Optimization	4
A Derivative-Free Method for Structured Optimization Problems	4
A Vectorization Scheme for Nonconvex Set Optimization Problems	3
Strong Convergence for the Alternating Halpern–Mann Iteration in CAT(0) Spaces	3
A Newton-CG Based Augmented Lagrangian Method for Finding a Second-Order Stationary Point of Nonconvex Equality Constrained Optimization with Complexity Guarantees	3
Manifold Sampling for Optimizing Nonsmooth Nonconvex Compositions	3
MG/OPT and Multilevel Monte Carlo for Robust Optimization of PDEs	3
Differentially Private Accelerated Optimization Algorithms	3
Constrained, Global Optimization of Unknown Functions with Lipschitz Continuous Gradients	3
Preference Robust Optimization for Choice Functions on the Space of CDFs	3
A Bilevel Approach for Identifying the Worst Contingencies for Nonconvex Alternating Current Power Systems	3
Bregman Finito/MISO for Nonconvex Regularized Finite Sum Minimization without Lipschitz Gradient Continuity	3

An Optimal Algorithm for Decentralized Finite-Sum Optimization	3
Strong Variational Sufficiency for Nonlinear Semidefinite Programming and Its Implications	3
Linear Convergence of a Proximal Alternating Minimization Method with Extrapolation for \(\boldsymbol{\ell_1}\) -Norm Principal Component Analysis	3
Algorithms to Solve Unbounded Convex Vector Optimization Problems	3
Effective Scenarios in Multistage Distributionally Robust Optimization with a Focus on Total Variation Distance	3
Characterizing Convexity of Images for Quadratic-Linear Mappings with Applications in Nonconvex Quadratic Optimization	3
Escaping Strict Saddle Points of the Moreau Envelope in Nonsmooth Optimization	3
Rational Generalized Nash Equilibrium Problems	3
A Subspace Acceleration Method for Minimization Involving a Group Sparsity-Inducing Regularizer	3
First-Order Algorithms for a Class of Fractional Optimization Problems	3
Adaptive Douglas--Rachford Splitting Algorithm from a Yosida Approximation Standpoint	3
Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems	3
Distributionally Robust Second-Order Stochastic Dominance Constrained Optimization with Wasserstein Ball	3
Bayesian Optimization with Expensive Integrands	3
Zeroth-Order Stochastic Compositional Algorithms for Risk-Aware Learning	3
Attouch--Théra Duality, Generalized Cycles, and Gap Vectors	3
Quadratic Growth and Strong Metric Subregularity of the Subdifferential via Subgradient Graphical Derivative	3
Newton Differentiability of Convex Functions in Normed Spaces and of a Class of Operators	3
Partial Smoothness and Constant Rank	3
Variational Convexity of Functions and Variational Sufficiency in Optimization	3
Variational Analysis in Normed Spaces with Applications to Constrained Optimization	3
Direct Search Based on Probabilistic Descent in Reduced Spaces	3
Survey Descent: A Multipoint Generalization of Gradient Descent for Nonsmooth Optimization	2
Performance Bounds for PDE-Constrained Optimization under Uncertainty	2
An Inexact Augmented Lagrangian Method for Second-Order Cone Programming with Applications	2
Corrigendum: Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization	2
Existence of Solutions for Deterministic Bilevel Games under a General Bayesian Approach	2
A Newton-CG Based Barrier Method for Finding a Second-Order Stationary Point of Nonconvex Conic Optimization with Complexity Guarantees	2
An Improved Unconstrained Approach for Bilevel Optimization	2
Adaptive Third-Order Methods for Composite Convex Optimization	2
Linearly Constrained Nonsmooth Optimization for Training Autoencoders	2
On the Global Convergence of Randomized Coordinate Gradient Descent for Nonconvex Optimization	2
Riemannian Hamiltonian Methods for Min-Max Optimization on Manifolds	2
Revisiting Spectral Bundle Methods: Primal-Dual (Sub)linear Convergence Rates	2
The Structure of Conservative Gradient Fields	2
Convexification with Bounded Gap for Randomly Projected Quadratic Optimization	2
Tracking and Regret Bounds for Online Zeroth-Order Euclidean and Riemannian Optimization	2
Approximate 1-Norm Minimization and Minimum-Rank Structured Sparsity for Various Generalized Inverses via Local Search	2
Optimizing Hypergraph-Based Polynomials Modeling Job-Occupancy in Queuing with Redundancy Scheduling	2
Second-Order Optimality Conditions for General Nonconvex Optimization Problems and Variational Analysis of Disjunctive Systems	2
Frank--Wolfe Methods with an Unbounded Feasible Region and Applications to Structured Learning	2
Certifying the Absence of Spurious Local Minima at Infinity	2
Minimax Problems with Coupled Linear Constraints: Computational Complexity and Duality	2
Convergence Analysis of the Proximal Gradient Method in the Presence of the Kurdyka–Łojasiewicz Property Without Global Lipschitz Assumptions	2
Horizon Maps and Graphical Convergence Revisited	2
Conditional Gradient Methods for Convex Optimization with General Affine and Nonlinear Constraints	2
On the Convergence of Projected-Gradient Methods with Low-Rank Projections for Smooth Convex Minimization over Trace-Norm Balls and Related Problems	2
Generic Property of the Partial Calmness Condition for Bilevel Programming Problems	2
Sharp and Fast Bounds for the Celis-Dennis-Tapia Problem	2
Subgradient Sampling for Nonsmooth Nonconvex Minimization	2
Split Cuts in the Plane	2
The Bipartite Boolean Quadric Polytope with Multiple-Choice Constraints	2
Robust Optimization with Continuous Decision-Dependent Uncertainty with applications to demand response management	2
The Bregman Proximal Average	2
A Geodesic Interior-Point Method for Linear Optimization over Symmetric Cones	2
Nonlinear Gradient Mappings and Stochastic Optimization: A General Framework with Applications to Heavy-Tail Noise	2
Continuation Methods for Riemannian Optimization	2
High-Order Optimization Methods for Fully Composite Problems	2
A Riemannian Proximal Newton Method	2
On the Divergence of Decentralized Nonconvex Optimization	2
DIMIX: Diminishing Mixing for Sloppy Agents	2
Approximations of Countably Infinite Linear Programs over Bounded Measure Spaces	2
Convergence Properties of an Objective-Function-Free Optimization Regularization Algorithm, Including an \(\boldsymbol{\mathcal{O}(\epsilon^{-3/2})}\) Complexity Bound	2
Convex Relaxations of Integral Variational Problems: Pointwise Dual Relaxation and Sum-of-Squares Optimization	2
On Local Minimizers of Nonconvex Homogeneous Quadratically Constrained Quadratic Optimization with at Most Two Constraints	2
Existence and Approximation of Continuous Bayesian Nash Equilibria in Games with Continuous Type and Action Spaces	2
Square-Root Metric Regularity and Related Stability Theorems for Smooth Mappings	2
On the Benefit of Width for Neural Networks: Disappearance of Basins	2
Fundamental Domains for Symmetric Optimization: Construction and Search	2
First-Order Methods for Problems with $O$(1) Functional Constraints Can Have Almost the Same Convergence Rate as for Unconstrained Problems	2
Uncertainty Preferences in Robust Mixed-Integer Linear Optimization with Endogenous Uncertainty	2
Relative Lipschitz-like Property of Parametric Systems via Projectional Coderivatives	2
Implicit Regularity and Linear Convergence Rates for the Generalized Trust-Region Subproblem	2
Primal-Dual First-Order Methods for Affinely Constrained Multi-block Saddle Point Problems	2
An Unbiased Approach to Low Rank Recovery	2
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	2
A Bundle Trust Region Algorithm for Minimizing Locally Lipschitz Functions	2
Active-Set Identification with Complexity Guarantees of an Almost Cyclic 2-Coordinate Descent Method with Armijo Line Search	2
New Primal-Dual Algorithms for a Class of Nonsmooth and Nonlinear Convex-Concave Minimax Problems	2
The FM and BCQ Qualifications for Inequality Systems of Convex Functions in Normed Linear Spaces	2
Escaping Unknown Discontinuous Regions in Blackbox Optimization	2
On Obtaining the Convex Hull of Quadratic Inequalities via Aggregations	2
Orthogonal Trace-Sum Maximization: Tightness of the Semidefinite Relaxation and Guarantee of Locally Optimal Solutions	1
Bayesian Joint Chance Constrained Optimization: Approximations and Statistical Consistency	1
On Integrality in Semidefinite Programming for Discrete Optimization	1
Approximating Min-Mean-Cycle for Low-Diameter Graphs in Near-Optimal Time and Memory	1
A Dynamic Smoothing Technique for a Class of Nonsmooth Optimization Problems on Manifolds	1
Random Coordinate Descent Methods for Nonseparable Composite Optimization	1
A Sequential Quadratic Programming Algorithm for Nonsmooth Problems with Upper- \({\boldsymbol{\mathcal{C}^2}}\) Objective	1
Convex Bi-level Optimization Problems with Nonsmooth Outer Objective Function	1
Minimizing a Low-Dimensional Convex Function Over a High-Dimensional Cube	1
A Correlatively Sparse Lagrange Multiplier Expression Relaxation for Polynomial Optimization	1
Worst-Case Complexity of TRACE with Inexact Subproblem Solutions for Nonconvex Smooth Optimization	1
Occupation Measure Relaxations in Variational Problems: The Role of Convexity	1
A Simplex Method for Countably Infinite Linear Programs	1