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We consider the problem of learning Bayesian networks (BNs) from complete discrete data. This problem of discrete optimisation is formulated as an integer program (IP). We describe the various steps we have taken to allow efficient solving…

Artificial Intelligence · Computer Science 2015-03-24 Mark Bartlett , James Cussens

Ensemble methods are known for enhancing the accuracy and robustness of machine learning models by combining multiple base learners. However, standard approaches like greedy or random ensembling often fall short, as they assume a constant…

Machine Learning · Computer Science 2025-06-24 Sebastian Pineda Arango , Maciej Janowski , Lennart Purucker , Arber Zela , Frank Hutter , Josif Grabocka

Particle swarm optimization is used in several combinatorial optimization problems. In this work, particle swarms are used to solve quadratic programming problems with quadratic constraints. The approach of particle swarms is an example for…

Artificial Intelligence · Computer Science 2014-07-24 Deepak Kumar , A G Ramakrishnan

Deep learning based approaches have achieved significant progresses in different tasks like classification, detection, segmentation, and so on. Ensemble learning is widely known to further improve performance by combining multiple…

Computer Vision and Pattern Recognition · Computer Science 2019-05-17 Danlu Chen , Xu-Yao Zhang , Wei Zhang , Yao Lu , Xiuli Li , Tao Mei

Pruning is a core technique for compressing neural networks to improve computational efficiency. This process is typically approached in two ways: one-shot pruning, which involves a single pass of training and pruning, and iterative…

Machine Learning · Computer Science 2025-08-20 Mikołaj Janusz , Tomasz Wojnar , Yawei Li , Luca Benini , Kamil Adamczewski

Cutting planes are crucial for the performance of branch-and-cut algorithms for solving mixed-integer programming (MIP) problems, and linear row aggregation has been successfully applied to better leverage the potential of several major…

Optimization and Control · Mathematics 2025-02-05 Liding Xu , Gioni Mexi , Ksenia Bestuzheva

Deep neural networks have achieved state-of-art performance in many domains including computer vision, natural language processing and self-driving cars. However, they are very computationally expensive and memory intensive which raises…

Machine Learning · Computer Science 2020-04-13 Besher Alhalabi , Mohamed Medhat Gaber , Shadi Basurra

Ensemble learning serves as a straightforward way to improve the performance of almost any machine learning algorithm. Existing deep ensemble methods usually naively train many different models and then aggregate their predictions. This is…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Le Zhang , Qibin Hou , Yun Liu , Jia-Wang Bian , Xun Xu , Joey Tianyi Zhou , Ce Zhu

In this paper, we consider ensemble classifiers, that is, machine learning based classifiers that utilize a combination of scoring functions. We provide a framework for categorizing such classifiers, and we outline several ensemble…

Cryptography and Security · Computer Science 2021-03-24 Mark Stamp , Aniket Chandak , Gavin Wong , Allen Ye

Neural networks have seen limited use in prediction for high-dimensional data with small sample sizes, because they tend to overfit and require tuning many more hyperparameters than existing off-the-shelf machine learning methods. With…

Machine Learning · Statistics 2020-05-12 Jean Feng , Noah Simon

The concept of ensemble learning offers a promising avenue in learning from data streams under complex environments because it addresses the bias and variance dilemma better than its single model counterpart and features a reconfigurable…

Machine Learning · Computer Science 2019-12-10 Mahardhika Pratama , Witold Pedrycz , Edwin Lughofer

In recent years, the integration of Machine Learning (ML) models with Operation Research (OR) tools has gained popularity across diverse applications, including cancer treatment, algorithmic configuration, and chemical process optimization.…

Machine Learning · Computer Science 2023-07-17 Matteo Cacciola , Antonio Frangioni , Andrea Lodi

Cutting planes for mixed-integer linear programs (MILPs) are typically computed in rounds by iteratively solving optimization problems, the so-called separation. Instead, we reframe the problem of finding good cutting planes as a continuous…

Optimization and Control · Mathematics 2023-07-10 Didier Chételat , Andrea Lodi

Ensemble learning has been a focal point of machine learning research due to its potential to improve predictive performance. This study revisits the foundational work on ensemble error decomposition, historically confined to…

Machine Learning · Computer Science 2024-02-13 João Mendes-Moreira , Tiago Mendes-Neves

We consider integer programming problems with bounded general-integer variables belonging to the general class of network flow problems. For those, we computationally investigate the effect on mixed-integer linear programming (MIP) solvers…

Optimization and Control · Mathematics 2026-04-09 Pierre Bonami , Sanjeeb Dash , Anton Derkach , Andrea Lodi

The Ensemble of Classifiers (EoC) has been shown to be effective in improving the performance of single classifiers by combining their outputs, and one of the most important properties involved in the selection of the best EoC from a pool…

Machine Learning · Computer Science 2014-08-14 Albert H. R. Ko , Robert Sabourin , Alceu S. Britto , Luiz E. S. Oliveira

Ensemble learning has had many successes in supervised learning, but it has been rare in unsupervised learning and dimensionality reduction. This study explores dimensionality reduction ensembles, using principal component analysis and…

Machine Learning · Statistics 2017-10-13 Colleen M. Farrelly

The subject of green AI has been gaining attention within the deep learning community given the recent trend of ever larger and more complex neural network models. Existing solutions for reducing the computational load of training at…

Machine Learning · Computer Science 2025-01-13 Xiaoying Zhi , Varun Babbar , Rundong Liu , Pheobe Sun , Fran Silavong , Ruibo Shi , Sean Moran

Ensemble methods for supervised machine learning have become popular due to their ability to accurately predict class labels with groups of simple, lightweight "base learners." While ensembles offer computationally efficient models that…

Machine Learning · Statistics 2011-09-01 Orianna DeMasi , Juan Meza , David H. Bailey

Training neural networks (NNs) using combinatorial optimization solvers has gained attention in recent years. In low-data settings, state-of-the-art mixed integer linear programming solvers can train exactly a NN, avoiding intensive…

Optimization and Control · Mathematics 2024-09-12 Ambrogio Maria Bernardelli , Stefano Gualandi , Hoong Chuin Lau , Simone Milanesi , Neil Yorke-Smith
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