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- # FrontierCO
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- A Comprehensive Benchmark for Evaluating Contemporary ML-Based Solvers on Challenge Combinatorial Optimization Problems
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ # FrontierCO: Benchmark Dataset for Frontier Combinatorial Optimization
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+
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+ ## Overview
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+
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+ **FrontierCO** is a curated benchmark suite for evaluating ML-based solvers on large-scale and real-world **Combinatorial Optimization (CO)** problems. The benchmark spans **8 classical CO problems** across **5 application domains**, providing both training and evaluation instances specifically designed to test the frontier of ML and LLM capabilities in solving NP-hard problems.
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+ Combinatorial optimization plays a fundamental role in discrete mathematics, computer science, and operations research, with applications in routing, scheduling, allocation, and more. As ML-based solvers evolve—ranging from neural networks to symbolic reasoning with large language models—**FrontierCO** offers the first comprehensive dataset suite tailored to test these solvers at realistic scales and difficulties.
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+
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+ ---
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+
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+ ## Dataset Structure
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+ Each subdirectory corresponds to a specific CO task:
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+ ```
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+ FrontierCO/
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+ ├── CFLP/
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+ │ ├── easy_test_instances/
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+ │ ├── hard_test_instances/
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+ │ ├── valid_instances/
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+ │ └── config.py
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+ ├── CPMP/
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+ ├── CVRP/
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+ ├── FJSP/
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+ ├── MIS/
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+ ├── MDS/
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+ ├── STP/
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+ ├── TSP/
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+ └── ...
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+ ```
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+
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+ Each task folder contains:
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+
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+ * `easy_test_instances/`: Benchmark instances that are solvable by SOTA human-designed solvers.
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+ * `hard_test_instances/`: Instances that remain computationally intensive or lack known optimal solutions.
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+ * `valid_instances/` *(if applicable)*: Additional instances for validation or development.
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+ * `config.py`: Metadata about instance format, solver settings, and reference solutions.
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+
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+ ---
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+
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+ ## Tasks Covered
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+
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+ The benchmark currently includes the following problems:
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+ * **MIS** – Maximum Independent Set
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+ * **MDS** – Minimum Dominating Set
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+ * **TSP** – Traveling Salesman Problem
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+ * **CVRP** – Capacitated Vehicle Routing Problem
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+ * **CFLP** – Capacitated Facility Location Problem
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+ * **CPMP** – Capacitated p-Median Problem
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+ * **FJSP** – Flexible Job-shop Scheduling Problem
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+ * **STP** – Steiner Tree Problem
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+
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+ Each task includes:
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+ * Easy and hard test sets with varying difficulty and practical relevance
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+ * Training and validation instances where applicable, generated using problem-specific generators
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+ * Reference results for classical and ML-based solvers
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+
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+ ---
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+
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+ ## Data Sources
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+
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+ Instances are sourced from a mix of:
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+
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+ * Public repositories (e.g., [TSPLib](http://comopt.ifi.uni-heidelberg.de/software/TSPLIB95/), [CVRPLib](http://vrp.galgos.inf.puc-rio.br/))
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+ * DIMACS and PACE Challenges
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+ * Synthetic instance generators used in prior ML and optimization research
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+ * Manual curation from recent SOTA solver evaluation benchmarks
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+
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+ For tasks lacking open benchmarks, we include high-quality synthetic instances aligned with real-world difficulty distributions.
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+ ---
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+
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+ ## Usage
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+ To use this dataset, clone the repository and select the task of interest. Each `config.py` file documents the format and how to parse or evaluate the instances.
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+ ```bash
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+ git clone https://huggingface.co/datasets/<your-username>/FrontierCO
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+ cd FrontierCO/CFLP
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+ python config.py # example: parse instances or evaluate solver
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+ ```
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+
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+ ---
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+
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+ ## Citation
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+
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+ If you use **FrontierCO** in your research or applications, please cite the following paper:
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+ ```bibtex
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+ @misc{feng2025comprehensive,
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+ title={A Comprehensive Evaluation of Contemporary ML-Based Solvers for Combinatorial Optimization},
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+ author={Shengyu Feng and Weiwei Sun and Shanda Li and Ameet Talwalkar and Yiming Yang},
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+ year={2025},
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+ eprint={xxxx.xxxxx},
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+ archivePrefix={arXiv},
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+ primaryClass={cs.AI}
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+ }
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+ ```
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+
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+ ---
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+
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+ ## License
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+ This dataset is released under the MIT License. Refer to `LICENSE` file for details.
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+ ---