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We present a solver for Mixed Integer Programs (MIP) developed for the MIP competition 2022. Given the 10 minutes bound on the computational time established by the rules of the competition, our method focuses on finding a feasible solution…

Artificial Intelligence · Computer Science 2022-06-22 Warley Almeida Silva , Federico Bobbio , Flore Caye , Defeng Liu , Justine Pepin , Carl Perreault-Lafleur , William St-Arnaud

This work proposes a novel method to generate C-Tests; a deviated form of cloze tests (a gap filling exercise) where only the last part of a word is turned into a gap. In contrast to previous works that only consider varying the gap size or…

Computation and Language · Computer Science 2024-04-16 Ji-Ung Lee , Marc E. Pfetsch , Iryna Gurevych

Driven by the increasing demand for low-latency and real-time processing, machine learning applications are steadily migrating toward edge computing platforms, where Field-Programmable Gate Arrays (FPGAs) are widely adopted for their energy…

Hardware Architecture · Computer Science 2026-02-13 Jiahong Bi , Lars Schütze , Jeronimo Castrillon

Mixed-integer model predictive control (MI-MPC) requires the solution of a mixed-integer quadratic program (MIQP) at each sampling instant under strict timing constraints, where part of the state and control variables can only assume a…

Optimization and Control · Mathematics 2019-03-22 Pedro Hespanhol , Rien Quirynen , Stefano Di Cairano

Mixed-integer programming (MIP) extends linear programming by incorporating both continuous and integer decision variables, making it widely used in production planning, logistics scheduling, and resource allocation. However, MIP remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Jinyu Zhang , Di Huang , Yue Liu , Shuo Wang , Zhenyu Pu , Zhiyuan Liu

This paper deals with a distributed Mixed-Integer Linear Programming (MILP) set-up arising in several control applications. Agents of a network aim to minimize the sum of local linear cost functions subject to both individual constraints…

Optimization and Control · Mathematics 2021-02-12 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

Cutting planes are crucial in solving mixed integer linear programs (MILP) as they facilitate bound improvements on the optimal solution. Modern MILP solvers rely on a variety of separators to generate a diverse set of cutting planes by…

Optimization and Control · Mathematics 2023-11-13 Sirui Li , Wenbin Ouyang , Max B. Paulus , Cathy Wu

Recent advancements in large language models (LLMs) with extended context windows have significantly improved tasks such as information extraction, question answering, and complex planning scenarios. In order to achieve success in long…

Computation and Language · Computer Science 2025-05-20 Zhi Chen , Qiguang Chen , Libo Qin , Qipeng Guo , Haijun Lv , Yicheng Zou , Wanxiang Che , Hang Yan , Kai Chen , Dahua Lin

For almost two decades, mixed integer programming (MIP) solvers have used graph-based conflict analysis to learn from local infeasibilities during branch-and-bound search. In this paper, we improve MIP conflict analysis by instead using…

Optimization and Control · Mathematics 2025-10-21 Gioni Mexi , Felipe Serrano , Timo Berthold , Ambros Gleixner , Jakob Nordström

Large Language Models (LLMs) have emerged as powerful tools for accelerating scientific discovery, yet their static knowledge and hallucination issues hinder autonomous research applications. Recent advances integrate LLMs into agentic…

Artificial Intelligence · Computer Science 2025-12-23 Zeyu Xia , Jinzhe Ma , Congjie Zheng , Shufei Zhang , Yuqiang Li , Hang Su , P. Hu , Changshui Zhang , Xingao Gong , Wanli Ouyang , Lei Bai , Dongzhan Zhou , Mao Su

Designing faster algorithms for solving Mixed-Integer Linear Programming (MILP) problems is highly desired across numerous practical domains, as a vast array of complex real-world challenges can be effectively modeled as MILP formulations.…

Artificial Intelligence · Computer Science 2026-01-23 Ruizhi Liu , Liming Xu , Xulin Huang , Jingyan Sui , Shizhe Ding , Boyang Xia , Chungong Yu , Dongbo Bu

Metasurface inverse design has become central to realizing complex optical functionality, yet translating target responses into executable, solver-compatible workflows still demands specialized expertise in computational electromagnetics…

Artificial Intelligence · Computer Science 2026-04-03 Yi Huang , Bowen Zheng , Yunxi Dong , Hong Tang , Huan Zhao , S. M. Rakibul Hasan Shawon , Hualiang Zhang

Quantified Integer Programming (QIP) bridges multiple domains by extending Quantified Boolean Formulas (QBF) to incorporate general integer variables and linear constraints while also generalizing Integer Programming through variable…

Discrete Mathematics · Computer Science 2025-06-06 Michael Hartisch , Leroy Chew

Traditional control system design, reliant on expert knowledge and precise models, struggles with complex, nonlinear, or uncertain dynamics. This paper introduces AgenticControl, a novel multi-agent framework that automates controller…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Mohammad Narimani , Seyyed Ali Emami

We propose an iterative programmatic planning (IPP) framework for solving grid-based tasks by synthesizing interpretable agent policies expressed in code using large language models (LLMs). Instead of relying on traditional search or…

Artificial Intelligence · Computer Science 2025-05-19 Ashwath Vaithinathan Aravindan , Zhisheng Tang , Mayank Kejriwal

Trading off performance guarantees in favor of scalability, the Multi-Agent Path Finding (MAPF) community has recently started to embrace Multi-Agent Reinforcement Learning (MARL), where agents learn to collaboratively generate individual,…

Robotics · Computer Science 2023-09-01 Yutong Wang , Bairan Xiang , Shinan Huang , Guillaume Sartoretti

On the occasion of the 20th Mixed Integer Program Workshop's computational competition, this work introduces a new approach for learning to solve MIPs online. Influence branching, a new graph-oriented variable selection strategy, is applied…

Machine Learning · Computer Science 2025-10-07 Paul Strang , Zacharie Alès , Côme Bissuel , Olivier Juan , Safia Kedad-Sidhoum , Emmanuel Rachelson

Integer linear programming (ILP) models a wide range of practical combinatorial optimization problems and significantly impacts industry and management sectors. This work proposes new characterizations of ILP with the concept of boundary…

Optimization and Control · Mathematics 2024-03-04 Peng Lin , Shaowei Cai , Mengchuan Zou , Jinkun Lin

In this paper, we propose novel mixed-integer linear programming (MIP) formulations to model decision problems posed as influence diagrams. We also present a novel heuristic that can be employed to warm start the MIP solver, as well as…

Optimization and Control · Mathematics 2026-01-21 Helmi Hankimaa , Olli Herrala , Fabricio Oliveira , Jaan Tollander de Balsch

The recent performance improvements in mixed-integer programming (MIP) have been accompanied by a significantly increased complexity of the codes of MIP solvers, which poses challenges in fixing implementation errors. In this paper, we…

Optimization and Control · Mathematics 2025-04-17 Alexander Hoen , Dominik Kamp , Ambros Gleixner