JuMP 1.0: Recent improvements to a modeling language for mathematical optimization
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Abstract (arXiv)
JuMP is an algebraic modeling language embedded in the Julia programming language. JuMP allows users to model optimization problems of a variety of kinds, including linear programming, integer programming, conic optimization, semidefinite programming, and nonlinear programming, and handles the low-level details of communicating with solvers. After nearly 10 years in development, JuMP 1.0 was released in March, 2022. In this short communication, we highlight the improvements to JuMP from recent releases up to and including 1.0.
Key facts. Cited by 37 papers in the map (data through 14 Oct 2026). First posted on arXiv 1 Jun 2022.
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Citing papers per year: 2022: 1; 2023: 5; 2024: 5; 2025: 16; 2026: 10.
37 papers.
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- 2023Diagnosing Infeasible Optimization Problems Using Large Language Modelscited by 27
- 2023Evolving Scientific Discovery by Unifying Data and Background Knowledge with AI Hilbertcited by 18
- 2025PGLearn -- An Open-Source Learning Toolkit for Optimal Power Flowcited by 11
- 2025DualSchool: How Reliable are LLMs for Optimization Education?cited by 4
- 2025A General and Streamlined Differentiable Optimization Frameworkcited by 3
- 2026Let's Have a Conversation: Designing and Evaluating LLM Agents for Interactive Optimizationcited by 3
- 2024Discrete distributions are learnable from metastable samplescited by 2
- 2025Certifiably Optimal Anisotropic Rotation Averagingcited by 2
- 2025Sobolev Training of End-to-End Optimization Proxiescited by 2
- 2025MathOptAI.jl: Embed trained machine learning predictors into JuMP modelscited by 2
- 2023Active Inverse Learning in Stackelberg Trajectory Gamescited by 1
- 2024Sequential transport maps using SoS density estimation and α-divergencescited by 1
25 more
- 2024Cons-training Tensor Networks: Embedding and Optimization Over Discrete Linear Constraintscited by 1
- 2024Formulations and scalability of neural network surrogates in nonlinear optimization problemscited by 1
- 2025Adaptive Preference Aggregationcited by 1
- 2025Differentiable Optimization for Deep Learning-Enhanced DC Approximation of AC Optimal Power Flowcited by 1
- 2025Learning Parametric Distributions from Samples and Preferencescited by 1
- 2025Reservoir Predictive Path Integral Control for Unknown Nonlinear Dynamicscited by 1
- 2025Nonlinear Optimization with GPU-Accelerated Neural Network Constraintscited by 1
- 2025MDP modeling for multi-stage stochastic programscited by 1
- 2022Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthantcited by 0
- 2023Bayesian Regret Minimization in Offline Banditscited by 0
- 2023Optimization meets Machine Learning: An Exact Algorithm for Semi-Supervised Support Vector Machinescited by 0
- 2024Combinatorial optimization of the coefficient of determinationcited by 0
- 2025Mixed-feature Logistic Regression Robust to Distribution Shiftscited by 0
- 2025Self-Certifying Primal-Dual Optimization Proxies for Large-Scale Batch Economic Dispatchcited by 0
- 2025Physics-Informed Machine Learning for Characterizing System Stabilitycited by 0
- 2025Learning Dynamics from Infrequent Output Measurements for Uncertainty-Aware Optimal Controlcited by 0
- 2026Generating adversarial inputs for a graph neural network model of AC power flowcited by 0
- 2026Accelerating Optimization and Machine Learning through Decentralizationcited by 0
- 2026Feasibility-Aware Security-Constrained Unit Commitment via Hybrid Soft Actor-Critic with Quantum-Sampled Featurescited by 0
- 2026SNAP-FM: Sparse Nonlinear Accelerated Projection for Physics-Constrained Generative Modelingcited by 0
- 2026Feasibility-Aware Security-Constrained Unit Commitment via Hybrid Soft Actor-Critic with Quantum-Sampled Featurescited by 0
- 2026Input convex neural networks as surrogates in mathematical optimisationcited by 0
- 2026Disciplined Bilevel Programmingcited by 0
- 2026Learning structural balance of graphs from quantum spectral featurescited by 0
- 2026Learning Distributions from Samples and Qualitiescited by 0
- 2026Learning Distributions from Samples and Qualities13 Oct 2026
- 2026Learning structural balance of graphs from quantum spectral features10 Sep 2026
- 2026Disciplined Bilevel Programming1 Sep 2026
- 2026Input convex neural networks as surrogates in mathematical optimisation10 Aug 2026
- 2026Feasibility-Aware Security-Constrained Unit Commitment via Hybrid Soft Actor-Critic with Quantum-Sampled Features19 Jul 2026
- 2026SNAP-FM: Sparse Nonlinear Accelerated Projection for Physics-Constrained Generative Modeling30 Jun 2026
- 2026Feasibility-Aware Security-Constrained Unit Commitment via Hybrid Soft Actor-Critic with Quantum-Sampled Features24 Jun 2026
- 2026Accelerating Optimization and Machine Learning through Decentralization21 Apr 2026
- 2026Let's Have a Conversation: Designing and Evaluating LLM Agents for Interactive Optimization3 Apr 2026
- 2026Generating adversarial inputs for a graph neural network model of AC power flow20 Feb 2026
- 2025Learning Dynamics from Infrequent Output Measurements for Uncertainty-Aware Optimal Control8 Dec 2025
- 2025Physics-Informed Machine Learning for Characterizing System Stability11 Nov 2025
25 more
- 2025A General and Streamlined Differentiable Optimization Framework29 Oct 2025
- 2025Self-Certifying Primal-Dual Optimization Proxies for Large-Scale Batch Economic Dispatch17 Oct 2025
- 2025MDP modeling for multi-stage stochastic programs26 Sep 2025
- 2025Nonlinear Optimization with GPU-Accelerated Neural Network Constraints26 Sep 2025
- 2025Reservoir Predictive Path Integral Control for Unknown Nonlinear Dynamics4 Sep 2025
- 2025MathOptAI.jl: Embed trained machine learning predictors into JuMP models3 Jul 2025
- 2025Learning Parametric Distributions from Samples and Preferences29 May 2025
- 2025PGLearn -- An Open-Source Learning Toolkit for Optimal Power Flow28 May 2025
- 2025DualSchool: How Reliable are LLMs for Optimization Education?27 May 2025
- 2025Sobolev Training of End-to-End Optimization Proxies16 May 2025
- 2025Differentiable Optimization for Deep Learning-Enhanced DC Approximation of AC Optimal Power Flow22 Mar 2025
- 2025Mixed-feature Logistic Regression Robust to Distribution Shifts15 Mar 2025
- 2025Adaptive Preference Aggregation13 Mar 2025
- 2025Certifiably Optimal Anisotropic Rotation Averaging10 Mar 2025
- 2024Formulations and scalability of neural network surrogates in nonlinear optimization problems16 Dec 2024
- 2024Discrete distributions are learnable from metastable samples17 Oct 2024
- 2024Combinatorial optimization of the coefficient of determination12 Oct 2024
- 2024Cons-training Tensor Networks: Embedding and Optimization Over Discrete Linear Constraints15 May 2024
- 2024Sequential transport maps using SoS density estimation and α-divergences27 Feb 2024
- 2023Optimization meets Machine Learning: An Exact Algorithm for Semi-Supervised Support Vector Machines15 Dec 2023
- 2023Diagnosing Infeasible Optimization Problems Using Large Language Models23 Aug 2023
- 2023Evolving Scientific Discovery by Unifying Data and Background Knowledge with AI Hilbert18 Aug 2023
- 2023Active Inverse Learning in Stackelberg Trajectory Games15 Aug 2023
- 2023Bayesian Regret Minimization in Offline Bandits2 Jun 2023
- 2022Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant13 Sep 2022
- 2023Diagnosing Infeasible Optimization Problems Using Large Language Modelscited by 27
- 2023Evolving Scientific Discovery by Unifying Data and Background Knowledge with AI Hilbertcited by 18
- 2025PGLearn -- An Open-Source Learning Toolkit for Optimal Power Flowcited by 11
- 2025DualSchool: How Reliable are LLMs for Optimization Education?cited by 4
- 2025A General and Streamlined Differentiable Optimization Frameworkcited by 3
- 2024Discrete distributions are learnable from metastable samplescited by 2
- 2025Certifiably Optimal Anisotropic Rotation Averagingcited by 2
- 2025Sobolev Training of End-to-End Optimization Proxiescited by 2
- 2025MathOptAI.jl: Embed trained machine learning predictors into JuMP modelscited by 2
- 2023Active Inverse Learning in Stackelberg Trajectory Gamescited by 1
- 2024Sequential transport maps using SoS density estimation and α-divergencescited by 1
- 2024Cons-training Tensor Networks: Embedding and Optimization Over Discrete Linear Constraintscited by 1
12 most cited of 33 All 33 (JSON)
- 2026Learning Distributions from Samples and Qualities13 Oct 2026
- 2026Learning structural balance of graphs from quantum spectral features10 Sep 2026
- 2026Disciplined Bilevel Programming1 Sep 2026
- 2026Input convex neural networks as surrogates in mathematical optimisation10 Aug 2026
- 2026SNAP-FM: Sparse Nonlinear Accelerated Projection for Physics-Constrained Generative Modeling30 Jun 2026
- 2026Accelerating Optimization and Machine Learning through Decentralization21 Apr 2026
- 2026Generating adversarial inputs for a graph neural network model of AC power flow20 Feb 2026
- 2025Learning Dynamics from Infrequent Output Measurements for Uncertainty-Aware Optimal Control8 Dec 2025
- 2025Physics-Informed Machine Learning for Characterizing System Stability11 Nov 2025
- 2025A General and Streamlined Differentiable Optimization Framework29 Oct 2025
- 2025Self-Certifying Primal-Dual Optimization Proxies for Large-Scale Batch Economic Dispatch17 Oct 2025
- 2025MDP modeling for multi-stage stochastic programs26 Sep 2025
12 newest of 33 All 33 (JSON)