OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Optimization is 6. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-06-01 to 2026-06-01.)

Article	Citations
Maximum A Posteriori Inference of Random Dot Product Graphs via Conic Programming	74
The Lovász Theta Function for Recovering Planted Clique Covers and Graph Colorings	65
An Approximation-Based Regularized Extra-Gradient Method for Monotone Variational Inequalities	56
On Difference-of-SOS and Difference-of-Convex-SOS Decompositions for Polynomials	37
Convex Ternary Quartics Are SOS-Convex	36
Reducing Nonnegativity over General Semialgebraic Sets to Nonnegativity over Simple Sets	36
Effective Front-Descent Algorithms with Convergence Guarantees	32
A Correlatively Sparse Lagrange Multiplier Expression Relaxation for Polynomial Optimization	30
Large Deviation Upper Bounds and Improved MSE Rates of Nonlinear SGD: Heavy-Tailed Noise and Power of Symmetry	28
Convex Approximations of Random Constrained Markov Decision Processes	28
Orthogonal Trace-Sum Maximization: Tightness of the Semidefinite Relaxation and Guarantee of Locally Optimal Solutions	26
Optimal Self-Concordant Barriers for Quantum Relative Entropies	25
Bregman Finito/MISO for Nonconvex Regularized Finite Sum Minimization without Lipschitz Gradient Continuity	23
Convex Bi-level Optimization Problems with Nonsmooth Outer Objective Function	23
Variational Convexity of Functions and Variational Sufficiency in Optimization	22
Occupation Measure Relaxations in Variational Problems: The Role of Convexity	21
High Probability Complexity Bounds for Adaptive Step Search Based on Stochastic Oracles	21
A Descent Algorithm for the Optimal Control of ReLU Neural Network Informed PDEs Based on Approximate Directional Derivatives	20
Refined TSSOS	19
The Rate of Convergence of Bregman Proximal Methods: Local Geometry Versus Regularity Versus Sharpness	18
Solution of Mismatched Monotone+Lipschitz Inclusion Problems	17
A Proximal-Gradient Method for Equality Constrained Optimization	16
On a Differential Generalized Nash Equilibrium Problem with Mean Field Interaction	16
A QP1QC Approach for Deciding Whether or Not Two Quadratic Surfaces Intersect	16
Fast Computation of Optimal Transport via Entropy-Regularized Extragradient Methods	16

Harnessing Structure in Composite Nonsmooth Minimization	16
The Computation of Approximate Feedback Stackelberg Equilibria in Multiplayer Nonlinear Constrained Dynamic Games	15
Optimal Convergence Rates for the Proximal Bundle Method	15
Fenchel–Young Inequality with a Remainder and Applications to Convex Duality and Optimal Transport	15
Difference-of-Convex Algorithms for a Class of Sparse Group $\ell_0$ Regularized Optimization Problems	14
On the Geometric Convergence of Byzantine-Resilient Distributed Optimization Algorithms	14
Linear Programming on the Stiefel Manifold	14
The Bipartite Boolean Quadric Polytope with Multiple-Choice Constraints	14
Subgradient Sampling for Nonsmooth Nonconvex Minimization	14
Convergence Rates of Sum-of-Squares Hierarchies for Polynomial Semidefinite Programs	14
ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints	13
On the Generalized $\vartheta$-Number and Related Problems for Highly Symmetric Graphs	13
Convergence Analyses of Davis–Yin Splitting via Scaled Relative Graphs	13
Using Taylor-Approximated Gradients to Improve the Frank–Wolfe Method for Empirical Risk Minimization	13
Weighted Geometric Mean, Minimum Mediated Set, and Optimal Simple Second-Order Cone Representation	13
Distributionally Robust Two-Stage Stochastic Programming	12
Parabolic Optimal Control Problems with Combinatorial Switching Constraints, Part I: Convex Relaxations	12
A Family of $\boldsymbol{s}$-Rectangular Robust MDPs: Relative Conservativeness, Asymptotic Analyses, and Finite-Sample Properties	12
Escaping Unknown Discontinuous Regions in Blackbox Optimization	12
Decomposition Methods for Global Solution of Mixed-Integer Linear Programs	12
Convergent Algorithms for a Class of Convex Semi-infinite Programs	12
On the Complexity of Matrix Putinar’s Positivstellensätz	12
On the Divergence of Decentralized Nonconvex Optimization	11
A Disjunctive Cutting Plane Algorithm for Bilinear Programming	11
Scalable Frank–Wolfe on Generalized Self-Concordant Functions via Simple Steps	11
A Four-Operator Splitting Algorithm for Nonconvex and Nonsmooth Optimization	11
A Search-Free ${O(1/{k}^{3/2})}$ Homotopy Inexact Proximal-Newton Extragradient Algorithm for Monotone Variational Inequalities	11
Optimization on the Euclidean Unit Sphere	11
Understanding the Influence of Digraphs on Decentralized Optimization: Effective Metrics, Lower Bound, and Optimal Algorithm	10
Degenerate Preconditioned Proximal Point Algorithms	10
Randomized Iterative Methods for Generalized Absolute Value Equations: Solvability and Error Bounds	10
Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients	10
A Regularized Newton Method for ${\boldsymbol{\ell}}_{q}$ -Norm Composite Optimization Problems	10
Consensus-Based Optimization Methods Converge Globally	10
Continuous Newton-like Methods Featuring Inertia and Variable Mass	10
Decentralized Gradient Descent Maximization Method for Composite Nonconvex Strongly-Concave Minimax Problems	10
The Stochastic Auxiliary Problem Principle in Banach Spaces: Measurability and Convergence	10
Mini-Batch Risk Forms	9
Tightness of SDP and Burer–Monteiro Factorization for Phase Synchronization in a High-Noise Regime	9
On the Bredies–Chenchene–Lorenz–Naldi Algorithm: Linear Relations and Strong Convergence	9
Dynamic Stochastic Variational Inequalities and Convergence of Discrete Approximation	9
Proximity Operators of Perspective Functions with Nonlinear Scaling	9
On Enhanced KKT Optimality Conditions for Smooth Nonlinear Optimization	9
First-Order Penalty Methods for Bilevel Optimization	9
A Newton-CG Based Barrier Method for Finding a Second-Order Stationary Point of Nonconvex Conic Optimization with Complexity Guarantees	9
Full Splitting Algorithms for Fractional Programs with Structured Numerators and Denominators	9
Strong Convergence for the Alternating Halpern–Mann Iteration in CAT(0) Spaces	9
Exploring Chordal Sparsity in Semidefinite Programming with Sparse plus Low-Rank Data Matrices	9
Limiting Normal Cones to the Union of Two Convex Sets and M-Stationarity: Local Uniqueness and Stability in Mathematical Programming	9
An Exact Method for Nonlinear Network Flow Interdiction Problems	9

Fisher–Rao Gradient Flows of Linear Programs and State-Action Natural Policy Gradients	9
Frugal Splitting Operators: Representation, Minimal Lifting, and Convergence	8
Accelerating Preconditioned ADMM via Degenerate Proximal Point Mappings	8
Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems	8
Linearly Constrained Nonsmooth Optimization for Training Autoencoders	8
A Dynamic Smoothing Technique for a Class of Nonsmooth Optimization Problems on Manifolds	8
Parameter-Free Accelerated Gradient Descent for Nonconvex Minimization	8
New Methods for Parametric Optimization via Differential Equations	8
Piecewise Polyhedral Relaxations of Multilinear Optimization	8
Consensus-Based Algorithms for Stochastic Optimization Problems	8
MINRES: From Negative Curvature Detection to Monotonicity Properties	8
Subdifferentially Polynomially Bounded Functions and Gaussian Smoothing–Based Zeroth-Order Optimization	8
Square Root LASSO: Well-Posedness, Lipschitz Stability, and the Tuning Trade-Off	8
Algorithms to Solve Unbounded Convex Vector Optimization Problems	8
Stochastic Optimization under Hidden Convexity	8
Bayesian Joint Chance Constrained Optimization: Approximations and Statistical Consistency	8
Constrained Consensus-Based Optimization	7
Optimization on a Finer Scale: Bounded Local Subgradient Variation Perspective	7
Non-degenerate Rigid Alignment in a Patch Framework	7
Super-Universal Regularized Newton Method	7
Corrigendum: Convex Optimization Problems on Differentiable Sets	7
Performance Bounds for PDE-Constrained Optimization under Uncertainty	7
Cyclic Coordinate Dual Averaging with Extrapolation	7
Sequential Quadratic Optimization for Stochastic Optimization with Deterministic Nonlinear Inequality and Equality Constraints	7
Comprehensive Analysis of Kernel-Based Interior-Point Methods for the ${P}_{{*}}{(\kappa )}$-LCP	7
From the Ravine Method to the Nesterov Method and Vice Versa: A Dynamical System Perspective	7
On Cutting Plane Algorithms for Nonlinear Binary Optimization	7
A Sequential Quadratic Programming Algorithm for Nonsmooth Problems with Upper- ${\boldsymbol{\mathcal{C}^2}}$ Objective	7
Relaxation of Stochastic Dominance Constraints via Optimal Mass Transport	7
Randomized Douglas–Rachford Methods for Linear Systems: Improved Accuracy and Efficiency	7
From Calmness to Hoffman Constants for Linear Semi-infinite Inequality Systems	7
A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods	7
Complexity of Finite-Sum Optimization with Nonsmooth Composite Functions and Non-Lipschitz Regularization	7
Convergence Analysis of a Norm Minimization-Based Convex Vector Optimization Algorithm	6
A Branch-and-Bound Algorithm for Nonconvex Nash Equilibrium Problems	6
A Symmetric Gauss–Seidel Based Majorized Augmented Lagrangian Method for Generalized Nash Equilibrium Problems in Hilbert Spaces	6
A Unified Framework for Pricing in Nonconvex Resource Allocation Games	6
Convergence Rate of Inexact Proximal Point Algorithms for Operator with Hölder Metric Subregularity	6
Nonsmooth Exact Penalty Methods for Equality-Constrained Optimization: Complexity and Implementation	6
Sparse Polynomial Matrix Optimization	6
TRFD: A Derivative-Free Trust-Region Method Based on Finite Differences for Composite Nonsmooth Optimization	6
Dual Certificates and Efficient Rational Sum-of-Squares Decompositions for Polynomial Optimization over Compact Sets	6
Computational Complexity of Sum-of-Squares Bounds for Copositive Programs	6
Moment-Sos and Spectral Hierarchies for Polynomial Optimization on the Sphere and Quantum de Finetti Theorems	6
Two-Norm Discrepancy and Convergence of the Stochastic Gradient Method with Application to Shape Optimization	6
Regularized Newton Method with Global ${\boldsymbol{\mathcal{O}(1/{k}^2)}}$ Convergence	6
A Jacobi-Type Newton Method for Nash Equilibrium Problems with Descent Guarantees	6
Adaptive Partitioning for Chance-Constrained Problems with Finite Support	6
Dualities for Non-Euclidean Smoothness and Strong Convexity under the Light of Generalized Conjugacy	6
An Improved Unconstrained Approach for Bilevel Optimization	6
Rockafellian Relaxation for PDE-Constrained Optimization with Distributional Ambiguity	6