Opt-Verifier: Unleashing the Power of LLMs for Optimization Modeling via Dual-Side Verification
- URL: http://arxiv.org/abs/2605.29556v1
- Date: Thu, 28 May 2026 08:09:52 GMT
- Title: Opt-Verifier: Unleashing the Power of LLMs for Optimization Modeling via Dual-Side Verification
- Abstract summary: We propose a novel framework with Dual-side Verification (Opt-Verifier) from both structure and solution perspectives.<n> Experiments on popular benchmarks demonstrate that our approach achieves over 20% improvement in accuracy.
- Score: 53.763212981479455
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Building mathematical optimization models is critical in operations research (OR), while it requires substantial human expertise. Recent advancements have utilized large language models (LLMs) to automate this modeling process. However, existing works often struggle to verify the correctness of the generated optimization models, without checking the rationality of the constraints and variables or the validity of solutions to the generated models. This hampers the subsequent verification and correction steps, and thus it severely hurts the modeling accuracy. To address this challenge, we propose a novel LLM-based framework with Dual-side Verification (Opt-Verifier) from both structure and solution perspectives, thereby improving the modeling accuracy. The structure-side verification ensures that the modeling structure of the generated optimization models aligns with the original problem description, accurately capturing the problem's constraints and requirements. Meanwhile, the solution-side verification interprets and evaluates the solutions' validity, confirming that the optimization models are logically and mathematically sound. Experiments on popular benchmarks demonstrate that our approach achieves over 20\% improvement in accuracy.
Related papers
- TriVAL: A Tri-Validation Framework for Faithful Automatic Optimization Modeling [33.79669366850101]
We introduce TriVAL, a framework that performs explicit validation at three stages of automatic optimization modeling.<n>At each stage, TriVAL follows a construct-validate-revise loop that assesses the current result against stage-specific criteria and revises it when needed.<n> Experiments show that TriVAL consistently outperforms state-ofthe-art methods, with the largest gains on the most challenging problems.
arXiv Detail & Related papers (2026-05-12T23:13:20Z) - Automated Optimization Modeling via a Localizable Error-Driven Perspective [20.591721861026414]
We propose a novel error-driven learning framework for automated optimization modeling.<n>MIND customized the whole model training framework from data synthesis to post-training.<n>MIND consistently outperforms all the state-of-the-art automated optimization modeling approaches.
arXiv Detail & Related papers (2026-01-17T09:59:01Z) - ORGEval: Graph-Theoretic Evaluation of LLMs in Optimization Modeling [18.8099769877788]
ORGEval is a graph-theoretic evaluation framework for assessing Large Language Models' capabilities in formulating linear and mixed-integer linear programs.<n>We show that ORGEval can successfully detect model equivalence and produce 100% consistent results across random parameter configurations.<n>Our results reveal that although optimization modeling remains challenging for all LLMs, DeepSeek-V3 and Claude-Opus-4 achieve the highest accuracies under direct prompting.
arXiv Detail & Related papers (2025-10-31T16:35:52Z) - CALM Before the STORM: Unlocking Native Reasoning for Optimization Modeling [60.55856973678002]
Large Reasoning Models (LRMs) have demonstrated strong capabilities in complex multi-step reasoning.<n>Existing domain adaptation methods, originally designed for earlier instruction-tuned models, often fail to exploit the advanced reasoning patterns of modern LRMs.<n>We propose textbfCALM, a framework that progressively refines LRMs within their native reasoning modes for optimization modeling tasks.
arXiv Detail & Related papers (2025-10-05T13:38:31Z) - Optimization Modeling via Semantic Anchored Alignment [30.047608671041104]
We propose SAC-Opt, a backward-guided correction framework that grounds optimization modeling in problem semantics rather than solver feedback.<n>At each step, SAC-Opt aligns the original semantic anchors with those reconstructed from the generated code and selectively corrects only the mismatched components.<n> Empirical results on seven public datasets demonstrate that SAC-Opt improves average modeling accuracy by 7.8%, with gains of up to 21.9% on the ComplexLP dataset.
arXiv Detail & Related papers (2025-09-28T12:25:31Z) - Solver-Informed RL: Grounding Large Language Models for Authentic Optimization Modeling [3.253908111652627]
Large Language Models (LLMs) often struggle to generate formally correct and usable models against hallucinations.<n>We present a novel framework that significantly improves the authenticity of LLMs for optimization modeling using Reinforcement Learning with Verifiable Reward.
arXiv Detail & Related papers (2025-05-17T02:32:03Z) - Autoformulation of Mathematical Optimization Models Using LLMs [50.030647274271516]
This paper approaches the problem of $textitautoformulation$: the automated creation of solver-ready optimization models from natural language problem descriptions.<n>We identify three core challenges of autoformulation: $textit(1)$ the vast, problem-dependent hypothesis space, and $textit(2)$ efficient and diverse exploration of this space under uncertainty.<n>We present a novel method leveraging $textitLarge Language Models$ with $textitMonte-Carlo Tree Search$, exploiting the hierarchical nature of optimization modeling to generate and systematically explore possible formulations
arXiv Detail & Related papers (2024-11-03T20:41:38Z) - Diffusion Model for Data-Driven Black-Box Optimization [54.25693582870226]
We focus on diffusion models, a powerful generative AI technology, and investigate their potential for black-box optimization.
We study two practical types of labels: 1) noisy measurements of a real-valued reward function and 2) human preference based on pairwise comparisons.
Our proposed method reformulates the design optimization problem into a conditional sampling problem, which allows us to leverage the power of diffusion models.
arXiv Detail & Related papers (2024-03-20T00:41:12Z) - QualEval: Qualitative Evaluation for Model Improvement [82.73561470966658]
We propose QualEval, which augments quantitative scalar metrics with automated qualitative evaluation as a vehicle for model improvement.
QualEval uses a powerful LLM reasoner and our novel flexible linear programming solver to generate human-readable insights.
We demonstrate that leveraging its insights, for example, improves the absolute performance of the Llama 2 model by up to 15% points relative.
arXiv Detail & Related papers (2023-11-06T00:21:44Z) - When to Update Your Model: Constrained Model-based Reinforcement
Learning [50.74369835934703]
We propose a novel and general theoretical scheme for a non-decreasing performance guarantee of model-based RL (MBRL)
Our follow-up derived bounds reveal the relationship between model shifts and performance improvement.
A further example demonstrates that learning models from a dynamically-varying number of explorations benefit the eventual returns.
arXiv Detail & Related papers (2022-10-15T17:57:43Z) - Automatically Learning Compact Quality-aware Surrogates for Optimization
Problems [55.94450542785096]
Solving optimization problems with unknown parameters requires learning a predictive model to predict the values of the unknown parameters and then solving the problem using these values.
Recent work has shown that including the optimization problem as a layer in a complex training model pipeline results in predictions of iteration of unobserved decision making.
We show that we can improve solution quality by learning a low-dimensional surrogate model of a large optimization problem.
arXiv Detail & Related papers (2020-06-18T19:11:54Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.