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We present $\textit{Learn2Aggregate}$, a machine learning (ML) framework for optimizing the generation of Chv\'atal-Gomory (CG) cuts in mixed integer linear programming (MILP). The framework trains a graph neural network to classify useful…

Machine Learning · Computer Science 2024-09-11 Arnaud Deza , Elias B. Khalil , Zhenan Fan , Zirui Zhou , Yong Zhang

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

Optimization and Control · Mathematics 2018-11-02 William Pettersson , Melih Ozlen

We present a proof system for establishing the correctness of results produced by optimization algorithms, with a focus on mixed-integer programming (MIP). Our system generalizes the seminal work of Bogaerts, Gocht, McCreesh, and…

Optimization and Control · Mathematics 2023-11-09 Jasper van Doornmalen , Leon Eifler , Ambros Gleixner , Christopher Hojny

Determining conditional independence (CI) relationships between random variables is a fundamental yet challenging task in machine learning and statistics, especially in high-dimensional settings. Existing generative model-based CI testing…

Machine Learning · Computer Science 2025-05-30 Yixin Ren , Chenghou Jin , Yewei Xia , Li Ke , Longtao Huang , Hui Xue , Hao Zhang , Jihong Guan , Shuigeng Zhou

Large-scale, high-quality data is essential for advancing the reasoning capabilities of large language models (LLMs). As publicly available Internet data becomes increasingly scarce, synthetic data has emerged as a crucial research…

Computation and Language · Computer Science 2025-09-23 Jiankang Wang , Jianjun Xu , Xiaorui Wang , Yuxin Wang , Mengting Xing , Shancheng Fang , Hongtao Xie

We present CHAP (Coordinating Heuristics Across Platforms) a GPU-CPU-hybrid primal heuristic framework for mixed-integer programming. CHAP adopts a portfolio approach where it coordinates a set of primal heuristics, including Local Search,…

Genetic programming is an evolutionary approach known for its performance in program synthesis. However, it is not yet mature enough for a practical use in real-world software development, since usually many training cases are required to…

Software Engineering · Computer Science 2023-01-23 Dominik Sobania , Martin Briesch , Philipp Röchner , Franz Rothlauf

This paper presents a design for test (DFT)architecture for fast and scalable testing of array multipliers (MULTs). Regardless of the MULT size, our proposed testable architecture, without major changes in the original architecture,…

Hardware Architecture · Computer Science 2022-01-31 Fatemeh Sheikh Shoaei , Alireza Nahvy , Zainalabedin Navabi

We study a two-stage mixed-integer linear program (MILP) with more than 1 million binary variables in the second stage. We develop a two-level approach by constructing a semi-coarse model (coarsened with respect to variables) and a coarse…

Optimization and Control · Mathematics 2015-04-20 Fu Lin , Sven Leyffer , Todd Munson

Constraint Programming (CP) and Machine Learning (ML) face challenges in text generation due to CP's struggle with implementing "meaning'' and ML's difficulty with structural constraints. This paper proposes a solution by combining both…

Computation and Language · Computer Science 2024-09-26 Florian Régin , Elisabetta De Maria , Alexandre Bonlarron

The correctness of complex software depends on the correctness of both the source code and the compilers that generate corresponding binary code. Compilers must do more than preserve the semantics of a single source file: they must ensure…

Programming Languages · Computer Science 2024-09-04 Luke Geeson , James Brotherston , Wilco Dijkstra , Alastair F. Donaldson , Lee Smith , Tyler Sorensen , John Wickerson

Long-tailed image recognition is a computer vision problem considering a real-world class distribution rather than an artificial uniform. Existing methods typically detour the problem by i) adjusting a loss function, ii) decoupling…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Youngseok Yoon , Sangwoo Hong , Hyungjun Joo , Yao Qin , Haewon Jeong , Jungwoo Lee

Mixed-integer model predictive control (MI-MPC) can be a powerful tool for modeling hybrid control systems. In case of a linear-quadratic objective in combination with linear or piecewise-linear system dynamics and inequality constraints,…

Optimization and Control · Mathematics 2023-07-12 Rien Quirynen , Stefano Di Cairano

Mixed integer linear programming (MILP) is a powerful tool for planning and control problems because of its modeling capability and the availability of good solvers. However, for large models, MILP methods suffer computationally. In this…

Robotics · Computer Science 2007-05-23 Matthew Earl , Raffaello D'Andrea

The state-of-the-art in optimal control from timed temporal logic specifications, including Metric Temporal Logic (MTL) and Signal Temporal Logic (STL), is based on Mixed-Integer Convex Programming (MICP). The standard MICP approach is…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Vince Kurtz , Hai Lin

Mathematical problem generation (MPG) is a significant research direction in the field of intelligent education. In recent years, the rapid development of large language models (LLMs) has enabled new technological approaches to…

Artificial Intelligence · Computer Science 2026-01-21 Yifei Sun , Yongan Li , A. K. Qin , Sicheng Hou , Tamas Pflanzner

Construct, Merge, Solve and Adapt (CMSA) is a general hybrid metaheuristic for solving combinatorial optimization problems. At each iteration, CMSA (1) constructs feasible solutions to the tackled problem instance in a probabilistic way and…

Artificial Intelligence · Computer Science 2018-05-31 Christian Blum , Haroldo Gambini Santos

This paper introduces a new approach to generating strongly constrained texts. We consider standardized sentence generation for the typical application of vision screening. To solve this problem, we formalize it as a discrete combinatorial…

Artificial Intelligence · Computer Science 2023-09-25 Alexandre Bonlarron , Aurélie Calabrèse , Pierre Kornprobst , Jean-Charles Régin

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

Recent matrix completion based methods have not been able to properly model the Haplotype Assembly Problem (HAP) for noisy observations. To cope with such a case, in this letter we propose a new Minimum Error Correction (MEC) based matrix…

Optimization and Control · Mathematics 2019-04-16 Mohamad Mahdi Mohades , Sina Majidian , Mohammad Hossein Kahaei
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