CoCo-MILP: Inter-Variable Contrastive and Intra-Constraint Competitive MILP Solution Prediction.

Haoyang Liu 0002 University of Science and Technology of China, Hefei, China https://orcid.org/0009-0002-8594-4045 https://scholar.google.com/citations?user=89C1Lv4AAAAJ https://openreview.net/profile?id=~Haoyang_Liu2 https://www.wikidata.org/entity/Q131111930 Haoyang Liu Haoyang Liu 0001 University of Illinois at Urbana-Champaign, School of Information Sciences, IL, USA https://scholar.google.com/citations?user=1jLWSKAAAAAJ Haoyang Liu 0003 Beijing Sport University, School of Sports Engineering, Beijing, China Johns Hopkins University, Baltimore, MD, USA https://orcid.org/0000-0003-2027-7501 https://ieeexplore.ieee.org/author/37087012025 Tianle Pu Jianing Li Yingying Gao Shixuan Liu Zijie Geng Haoyang Liu 0002 Chao Chen 0026 Changjun Fan CoCo-MILP: Inter-Variable Contrastive and Intra-Constraint Competitive MILP Solution Prediction. 24882-24890 2026 AAAI https://doi.org/10.1609/aaai.v40i29.39675 conf/aaai/2026 db/conf/aaai/aaai2026.html#PuLGLGLCF26 Haoyang Liu 0002 Jie Wang 0005 Zijie Geng Xijun Li Yuxuan Zong Fangzhou Zhu Jianye Hao Feng Wu 0001 Apollo-MILP: An Alternating Prediction-Correction Neural Solving Framework for Mixed-Integer Linear Programming. 2025 ICLR https://openreview.net/forum?id=mFY0tPDWK8 conf/iclr/2025 db/conf/iclr/iclr2025.html#0002WGLZZHW25 Wenyu Mao Shuchang Liu 0001 Haoyang Liu 0002 Haozhe Liu Xiang Li 0189 Lantao Hu Distinguished Quantized Guidance for Diffusion-based Sequence Recommendation. 425-435 2025 WWW https://doi.org/10.1145/3696410.3714955 conf/www/2025 db/conf/www/www2025.html#Mao0LLLH25

Wenyu Mao Shuchang Liu 0001 Haoyang Liu 0002 Haozhe Liu Xiang Li 0189 Lanatao Hu Distinguished Quantized Guidance for Diffusion-based Sequence Recommendation. 2025 January abs/2501.17670 CoRR https://doi.org/10.48550/arXiv.2501.17670 db/journals/corr/corr2501.html#abs-2501-17670 streams/journals/corr

Haoyang Liu 0002 Jie Wang 0005 Zijie Geng Xijun Li Yuxuan Zong Fangzhou Zhu Jianye Hao Feng Wu 0001 Apollo-MILP: An Alternating Prediction-Correction Neural Solving Framework for Mixed-Integer Linear Programming. 2025 March abs/2503.01129 CoRR https://doi.org/10.48550/arXiv.2503.01129 db/journals/corr/corr2503.html#abs-2503-01129 streams/journals/corr

Haoyang Liu 0002 Jie Wang 0005 Yuyang Cai Xiongwei Han Yufei Kuang Jianye Hao OptiTree: Hierarchical Thoughts Generation with Tree Search for LLM Optimization Modeling. 2025 October abs/2510.22192 CoRR https://doi.org/10.48550/arXiv.2510.22192 db/journals/corr/corr2510.html#abs-2510-22192 streams/journals/corr

Tianle Pu Zijie Geng Haoyang Liu 0002 Shixuan Liu Jie Wang 0005 Li Zeng Chao Chen 0026 Changjun Fan RoME: Domain-Robust Mixture-of-Experts for MILP Solution Prediction across Domains. 2025 November abs/2511.02331 CoRR https://doi.org/10.48550/arXiv.2511.02331 db/journals/corr/corr2511.html#abs-2511-02331 streams/journals/corr

Tianle Pu Jianing Li Yingying Gao Shixuan Liu Zijie Geng Haoyang Liu 0002 Chao Chen 0026 Changjun Fan CoCo-MILP: Inter-Variable Contrastive and Intra-Constraint Competitive MILP Solution Prediction. 2025 November abs/2511.09209 CoRR https://doi.org/10.48550/arXiv.2511.09209 db/journals/corr/corr2511.html#abs-2511-09209 streams/journals/corr

Hongyu Liu Haoyang Liu 0002 Yufei Kuang Jie Wang 0005 Bin Li 0025 Deep Symbolic Optimization for Combinatorial Optimization: Accelerating Node Selection by Discovering Potential Heuristics. 2024 GECCO Companion https://doi.org/10.1145/3638530.3664128 https://www.wikidata.org/entity/Q131111933 conf/gecco/2024c db/conf/gecco/gecco2024c.html#LiuLKWL24 2067-2075 Yufei Kuang Jie Wang 0005 Haoyang Liu 0002 Fangzhou Zhu Xijun Li Jia Zeng Jianye Hao Bin Li 0025 Feng Wu 0001 Rethinking Branching on Exact Combinatorial Optimization Solver: The First Deep Symbolic Discovery Framework. 2024 ICLR https://openreview.net/forum?id=jKhNBulNMh conf/iclr/2024 db/conf/iclr/iclr2024.html#Kuang0LZLZH0024 Huanshuo Dong Hong Wang 0028 Haoyang Liu 0002 Jian Luo 0012 Jie Wang 0005 Accelerating PDE Data Generation via Differential Operator Action in Solution Space. 2024 ICML https://proceedings.mlr.press/v235/dong24d.html https://openreview.net/forum?id=Fv9GLw0LkO conf/icml/2024 db/conf/icml/icml2024.html#DongWLL024 11395-11411 Haoyang Liu 0002 Jie Wang 0005 Wanbo Zhang Zijie Geng Yufei Kuang Xijun Li Bin Li 0025 Yongdong Zhang 0001 Feng Wu 0001 MILP-StuDio: MILP Instance Generation via Block Structure Decomposition. 2024 NeurIPS http://papers.nips.cc/paper_files/paper/2024/hash/61a8faabae5704ce6f095e89856d7c79-Abstract-Conference.html conf/nips/2024 db/conf/nips/neurips2024.html#LiuWZGKLL0024

Xijun Li Fangzhou Zhu Hui-Ling Zhen Weilin Luo Meng Lu Yimin Huang Zhenan Fan Zirui Zhou Yufei Kuang Zhihai Wang Zijie Geng Yang Li 0197 Haoyang Liu 0002 Zhiwu An Muming Yang Jianshu Li Jie Wang 0005 Junchi Yan Defeng Sun Tao Zhong 0004 Yong Zhang 0004 Jia Zeng Mingxuan Yuan Jianye Hao Jun Yao Kun Mao 0001 Machine Learning Insides OptVerse AI Solver: Design Principles and Applications. 2024 abs/2401.05960 CoRR https://doi.org/10.48550/arXiv.2401.05960 db/journals/corr/corr2401.html#abs-2401-05960

Huanshuo Dong Hong Wang 0028 Haoyang Liu 0002 Jian Luo 0012 Jie Wang 0005 Accelerating PDE Data Generation via Differential Operator Action in Solution Space. 2024 abs/2402.05957 CoRR https://doi.org/10.48550/arXiv.2402.05957 db/journals/corr/corr2402.html#abs-2402-05957

Hongyu Liu Haoyang Liu 0002 Yufei Kuang Jie Wang 0005 Bin Li 0025 Deep Symbolic Optimization for Combinatorial Optimization: Accelerating Node Selection by Discovering Potential Heuristics. 2024 abs/2406.09740 CoRR https://doi.org/10.48550/arXiv.2406.09740 db/journals/corr/corr2406.html#abs-2406-09740

Haoyang Liu 0002 Jie Wang 0005 Wanbo Zhang Zijie Geng Yufei Kuang Xijun Li Bin Li 0025 Yongdong Zhang 0001 Feng Wu 0001 MILP-StuDio: MILP Instance Generation via Block Structure Decomposition. 2024 abs/2410.22806 CoRR https://doi.org/10.48550/arXiv.2410.22806 db/journals/corr/corr2410.html#abs-2410-22806 streams/journals/corr

Haoyang Liu 0002 Yufei Kuang Jie Wang 0005 Xijun Li Yongdong Zhang 0001 Feng Wu 0001 Promoting Generalization for Exact Solvers via Adversarial Instance Augmentation. 2023 abs/2310.14161 CoRR https://doi.org/10.48550/arXiv.2310.14161 db/journals/corr/corr2310.html#abs-2310-14161

Zhiwu An Yuyang Cai Chao Chen 0026 Huanshuo Dong Changjun Fan Zhenan Fan Yingying Gao Zijie Geng Xiongwei Han Jianye Hao Lanatao Hu Lantao Hu Yimin Huang Yufei Kuang Bin Li 0025 Jianing Li Jianshu Li Xiang Li 0189 Xijun Li Yang Li 0197 Haozhe Liu Hongyu Liu Shixuan Liu Shuchang Liu 0001 Meng Lu Jian Luo 0012 Weilin Luo Kun Mao 0001 Wenyu Mao Tianle Pu Defeng Sun Hong Wang 0028 Jie Wang 0005 Zhihai Wang Feng Wu 0001 Junchi Yan Muming Yang Jun Yao Mingxuan Yuan Jia Zeng Li Zeng Wanbo Zhang Yong Zhang 0004 Yongdong Zhang 0001 Hui-Ling Zhen Tao Zhong 0004 Zirui Zhou Fangzhou Zhu Yuxuan Zong