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We establish a broad methodological foundation for mixed-integer optimization with learned constraints. We propose an end-to-end pipeline for data-driven decision making in which constraints and objectives are directly learned from data…

Optimization and Control · Mathematics 2023-10-30 Donato Maragno , Holly Wiberg , Dimitris Bertsimas , S. Ilker Birbil , Dick den Hertog , Adejuyigbe Fajemisin

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 essential for modeling complex decision-making problems but faces challenges in computational tractability and requires expert formulation. Current deep learning approaches for MILP focus on…

Machine Learning · Computer Science 2025-02-24 Sirui Li , Janardhan Kulkarni , Ishai Menache , Cathy Wu , Beibin Li

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

Machine Learning Interatomic Potentials (MLIP) are a novel in silico approach for molecular property prediction, creating an alternative to disrupt the accuracy/speed trade-off of empirical force fields and density functional theory (DFT).…

Machine learning interatomic potentials (MLIPs) enable atomistic simulations with near ab initio accuracy at significantly reduced computational cost, but their broader adoption is often limited by fragmented tooling, limited scalability,…

Following the recent push for trustworthy AI, there has been an increasing interest in developing contrastive explanation techniques for optimisation, especially concerning the solution of specific decision-making processes formalised as…

Artificial Intelligence · Computer Science 2025-07-18 Roger Xavier Lera-Leri , Filippo Bistaffa , Athina Georgara , Juan Antonio Rodriguez-Aguilar

In this paper, we explore model-based approach to training robust and interpretable binarized regression models for multiclass classification tasks using Mixed-Integer Programming (MIP). Our MIP model balances the optimization of prediction…

Machine Learning · Computer Science 2022-03-22 Sanjana Tule , Nhi Ha Lan Le , Buser Say

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

Integer programming (IP) has proven to be highly effective in solving many path-based optimization problems in robotics. However, the applications of IP are generally done in an ad-hoc, problem specific manner. In this work, after examined…

Robotics · Computer Science 2019-03-04 Shuai D. Han , Jingjin Yu

Leveraging machine learning (ML) to predict an initial solution for mixed-integer linear programming (MILP) has gained considerable popularity in recent years. These methods predict a solution and fix a subset of variables to reduce the…

Machine Learning · Computer Science 2025-03-04 Haoyang Liu , Jie Wang , Zijie Geng , Xijun Li , Yuxuan Zong , Fangzhou Zhu , Jianye Hao , Feng Wu

Hardware architectures and machine learning (ML) libraries evolve rapidly. Traditional compilers often fail to generate high-performance code across the spectrum of new hardware offerings. To mitigate, engineers develop hand-tuned kernels…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-18 Tim Zerrell , Jeremy Bruestle

Mixed Integer Programming (MIP) has been extensively applied in areas requiring mathematical solvers to address complex instances within tight time constraints. However, as the problem scale increases, the complexity of model formulation…

Computation and Language · Computer Science 2024-09-19 Teng Wang , Wing-Yin Yu , Ruifeng She , Wenhan Yang , Taijie Chen , Jianping Zhang

Graph matching is an important problem that has received widespread attention, especially in the field of computer vision. Recently, state-of-the-art methods seek to incorporate graph matching with deep learning. However, there is no…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Zhoubo Xu , Puqing Chen , Romain Raveaux , Xin Yang , Huadong Liu

Code-mixing is a phenomenon of mixing words and phrases from two or more languages in a single utterance of speech and text. Due to the high linguistic diversity, code-mixing presents several challenges in evaluating standard natural…

Computation and Language · Computer Science 2021-07-27 Ayush Garg , Sammed S Kagi , Vivek Srivastava , Mayank Singh

Missing data represents a fundamental challenge in machine learning applications, often reducing model performance and reliability. This problem is particularly acute in fields like bioinformatics and clinical machine learning, where…

Machine Learning · Computer Science 2025-09-04 Fatemeh Azad , Zoran Bosnić , Matjaž Kukar

We consider an ensemble of constant composition codes that are subsets of linear codes: while the encoder uses only the constant-composition subcode, the decoder operates as if the full linear code was used, with the motivation of…

Information Theory · Computer Science 2022-06-22 Neri Merhav , Georg Bocherer

In this paper, we address the problem of synthesizing optimal path plans in a 2D subject to spatio-temporal and thermal constraints. Our solution consists of reducing the path planning problem to a Mixed Integer Linear Programming (MILP)…

Robotics · Computer Science 2020-07-21 Zahra Rahimi Afzal , Pavana Prabhakar , Pavithra Prabhakar

For over ten years, the constraint integer programming framework SCIP has been extended by capabilities for the solution of convex and nonconvex mixed-integer nonlinear programs (MINLPs). With the recently published version 8.0, these…

Optimization and Control · Mathematics 2023-01-03 Ksenia Bestuzheva , Antonia Chmiela , Benjamin Müller , Felipe Serrano , Stefan Vigerske , Fabian Wegscheider

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
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