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This paper surveys the trend of leveraging machine learning to solve mixed integer programming (MIP) problems. Theoretically, MIP is an NP-hard problem, and most of the combinatorial optimization (CO) problems can be formulated as the MIP.…

Artificial Intelligence · Computer Science 2022-03-08 Jiayi Zhang , Chang Liu , Junchi Yan , Xijun Li , Hui-Ling Zhen , Mingxuan Yuan

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

To optimize the operation of a HVAC system with advanced techniques such as artificial neural network, previous studies usually need forecast information in their method. However, the forecast information inevitably contains errors all the…

Machine Learning · Computer Science 2022-02-23 Huy Truong Dinh , Daehee Kim

Over the past few decades, neuroscience experiments have become increasingly complex and naturalistic. Experimental design has in turn become more challenging, as experiments must conform to an ever-increasing diversity of design…

Neurons and Cognition · Quantitative Biology 2020-12-07 Storm Slivkoff , Jack L. Gallant

Users of heterogeneous computing systems face two problems: firstly, in understanding the trade-off relationships between the observable characteristics of their applications, such as latency and quality of the result, and secondly, how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-15 Gordon Inggs , David B. Thomas , Wayne Luk

Finding the optimally performing configuration of a software system for a given setting is often challenging. Recent approaches address this challenge by learning performance models based on a sample set of configurations. However, building…

Software Engineering · Computer Science 2017-09-12 Vivek Nair , Tim Menzies , Norbert Siegmund , Sven Apel

In this paper we solve mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This work is motivated by the MILPs being able to model problems in multi-agent autonomy, such as task assignment problems…

Optimization and Control · Mathematics 2024-10-16 Luke Fina , Christopher Petersen , Matthew Hale

Software systems usually provide numerous configuration options that can affect performance metrics such as execution time, memory usage, binary size, or bitrate. On the one hand, making informed decisions is challenging and requires domain…

Machine learning algorithms have been used widely in various applications and areas. To fit a machine learning model into different problems, its hyper-parameters must be tuned. Selecting the best hyper-parameter configuration for machine…

Machine Learning · Computer Science 2022-10-06 Li Yang , Abdallah Shami

Cutting planes are essential for solving mixed-integer linear problems (MILPs), because they facilitate bound improvements on the optimal solution value. For selecting cuts, modern solvers rely on manually designed heuristics that are tuned…

Machine Learning · Computer Science 2022-06-28 Max B. Paulus , Giulia Zarpellon , Andreas Krause , Laurent Charlin , Chris J. Maddison

It is a well known fact that finite time optimal controllers, such as MPC does not necessarily result in closed loop stable systems. Within the MPC community it is common practice to add a final state constraint and/or a final state penalty…

Optimization and Control · Mathematics 2016-04-05 Daniel Simon , Johan Löfberg

In this work, we address a task allocation problem for human multi-robot settings. Given a set of tasks to perform, we formulate a general Mixed-Integer Linear Programming (MILP) problem aiming at minimizing the overall execution time while…

Robotics · Computer Science 2021-09-20 Martina Lippi , Alessandro Marino

The automated machine learning (AutoML) process can require searching through complex configuration spaces of not only machine learning (ML) components and their hyperparameters but also ways of composing them together, i.e. forming ML…

Machine Learning · Computer Science 2022-08-10 David Jacob Kedziora , Tien-Dung Nguyen , Katarzyna Musial , Bogdan Gabrys

Interior point methods (IPMs) are a common approach for solving linear programs (LPs) with strong theoretical guarantees and solid empirical performance. The time complexity of these methods is dominated by the cost of solving a linear…

Optimization and Control · Mathematics 2022-02-04 Gregory Dexter , Agniva Chowdhury , Haim Avron , Petros Drineas

Machine learning components commonly appear in larger decision-making pipelines; however, the model training process typically focuses only on a loss that measures accuracy between predicted values and ground truth values. Decision-focused…

Machine Learning · Computer Science 2019-07-19 Aaron Ferber , Bryan Wilder , Bistra Dilkina , Milind Tambe

Mixed-integer programming (MIP) technology offers a generic way of formulating and solving combinatorial optimization problems. While generally reliable, state-of-the-art MIP solvers base many crucial decisions on hand-crafted heuristics,…

Machine Learning · Computer Science 2022-05-31 Elias B. Khalil , Christopher Morris , Andrea Lodi

Integer linear programming (ILP) is an elegant approach to solve linear optimization problems, naturally described using integer decision variables. Within the context of physics-inspired machine learning applied to chemistry, we…

Planning the maintenance of nuclear power plants is a complex optimization problem, involving a joint optimization of maintenance dates, fuel constraints and power production decisions. This paper investigates Mixed Integer Linear…

Artificial Intelligence · Computer Science 2020-09-08 Nicolas Dupin , El-Ghazali Talbi

We propose an ML-based model that automates and expedites the solution of MIPs by predicting the values of variables. Our approach is motivated by the observation that many problem instances share salient features and solution structures…

Optimization and Control · Mathematics 2023-02-24 Konstantinos Benidis , Ugo Rosolia , Syama Rangapuram , George Iosifidis , Georgios Paschos

The proliferation of machine learning-based methods for Mixed-Integer Linear Programming (MILP) instance generation has surged, driven by the need for diverse training datasets. However, a critical question remains: Are these generated…

Machine Learning · Computer Science 2026-02-06 Yidong Luo , Chenguang Wang , Dong Li , Tianshu Yu
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