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This paper proposes Branch & Learn, a framework for Predict+Optimize to tackle optimization problems containing parameters that are unknown at the time of solving. Given an optimization problem solvable by a recursive algorithm satisfying…

Machine Learning · Computer Science 2022-05-05 Xinyi Hu , Jasper C. H. Lee , Jimmy H. M. Lee , Allen Z. Zhong

The paper analyzes the scalability of multiobjective estimation of distribution algorithms (MOEDAs) on a class of boundedly-difficult additively-separable multiobjective optimization problems. The paper illustrates that even if the linkage…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Kumara Sastry , Martin Pelikan , David E. Goldberg

Formal verification is a rigorous approach that can provably ensure the quality of neural networks, and to date, Branch and Bound (BaB) is the state-of-the-art that performs verification by splitting the problem as needed and applying…

Machine Learning · Computer Science 2025-05-05 Kota Fukuda , Guanqin Zhang , Zhenya Zhang , Yulei Sui , Jianjun Zhao

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso

We propose a complete quantum-classical hybrid branch-and-bound algorithm (QCBB) to solve binary linear programs with equality constraints. That includes bound calculation, convergence metrics and optimality guarantee to the quantum…

Quantum Physics · Physics 2026-02-03 András Czégel , Dávid Sipos , Boglárka G. -Tóth

Empirical studies are fundamental in assessing the effectiveness of implementations of branch-and-bound algorithms. The complexity of such implementations makes empirical study difficult for a wide variety of reasons. Various attempts have…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-21 Stephen J. Maher , Ted K. Ralphs , Yuji Shinano

Finding a good classifier is a multiobjective optimization problem with different error rates and the costs to be minimized. The receiver operating characteristic is widely used in the machine learning community to analyze the performance…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Jiaqi Zhao , Vitor Basto Fernandes , Licheng Jiao , Iryna Yevseyeva , Asep Maulana , Rui Li , Thomas Bäck , Michael T. M. Emmerich

Many real-world functions are defined over both categorical and category-specific continuous variables and thus cannot be optimized by traditional Bayesian optimization (BO) methods. To optimize such functions, we propose a new method that…

Machine Learning · Computer Science 2019-12-02 Dang Nguyen , Sunil Gupta , Santu Rana , Alistair Shilton , Svetha Venkatesh

Numerous multi-objective evolutionary algorithms have been designed for constrained optimisation over past two decades. The idea behind these algorithms is to transform constrained optimisation problems into multi-objective optimisation…

Optimization and Control · Mathematics 2020-03-24 Tao Xu , Jun He , Changjing Shang

This work proposes multi-agent systems setting for concurrent engineering system design optimization and gradually paves the way towards examining graph theoretic constructs in the context of multidisciplinary design optimization problem.…

Optimization and Control · Mathematics 2012-09-18 Amir Noori

Both feature selection and hyperparameter tuning are key tasks in machine learning. Hyperparameter tuning is often useful to increase model performance, while feature selection is undertaken to attain sparse models. Sparsity may yield…

Machine Learning · Statistics 2020-02-14 Martin Binder , Julia Moosbauer , Janek Thomas , Bernd Bischl

Bayesian optimization (BO) is a popular technique for sequential black-box function optimization, with applications including parameter tuning, robotics, environmental monitoring, and more. One of the most important challenges in BO is the…

Machine Learning · Computer Science 2018-03-29 Paul Rolland , Jonathan Scarlett , Ilija Bogunovic , Volkan Cevher

Combinatorial optimisation problems framed as mixed integer linear programmes (MILPs) are ubiquitous across a range of real-world applications. The canonical branch-and-bound algorithm seeks to exactly solve MILPs by constructing a search…

Machine Learning · Computer Science 2023-03-16 Christopher W. F. Parsonson , Alexandre Laterre , Thomas D. Barrett

Rank-based metrics are some of the most widely used criteria for performance evaluation of computer vision models. Despite years of effort, direct optimization for these metrics remains a challenge due to their non-differentiable and…

Machine Learning · Computer Science 2024-12-16 Michal Rolínek , Vít Musil , Anselm Paulus , Marin Vlastelica , Claudio Michaelis , Georg Martius

Hyperparameter optimization (HPO) is a necessary step to ensure the best possible performance of Machine Learning (ML) algorithms. Several methods have been developed to perform HPO; most of these are focused on optimizing one performance…

Machine Learning · Computer Science 2022-11-16 Alejandro Morales-Hernández , Inneke Van Nieuwenhuyse , Sebastian Rojas Gonzalez

Performance of machine learning algorithms depends critically on identifying a good set of hyperparameters. While recent approaches use Bayesian optimization to adaptively select configurations, we focus on speeding up random search through…

Machine Learning · Computer Science 2018-06-20 Lisha Li , Kevin Jamieson , Giulia DeSalvo , Afshin Rostamizadeh , Ameet Talwalkar

Interest in bilevel optimization has grown in recent years, partially due to its applications to tackle challenging machine-learning problems. Several exciting recent works have been centered around developing efficient gradient-based…

Optimization and Control · Mathematics 2024-08-27 Liuyuan Jiang , Quan Xiao , Victor M. Tenorio , Fernando Real-Rojas , Antonio G. Marques , Tianyi Chen

This paper develops a measure for bounding the performance of AND/OR search algorithms for solving a variety of queries over graphical models. We show how drawing a connection to the recent notion of hypertree decompositions allows to…

Artificial Intelligence · Computer Science 2012-06-18 Lars Otten , Rina Dechter

Machine learning algorithms have made significant advances in many applications. However, their hardware implementation on the state-of-the-art platforms still faces several challenges and are limited by various factors, such as memory…

Neural and Evolutionary Computing · Computer Science 2019-06-24 Xiaocong Du , Gokul Krishnan , Abinash Mohanty , Zheng Li , Gouranga Charan , Yu Cao

The branching algorithm is a fundamental technique for designing fast exponential-time algorithms to solve combinatorial optimization problems exactly. It divides the entire solution space into independent search branches using…

Optimization and Control · Mathematics 2024-12-11 Xuan-Zhao Gao , Yi-Jia Wang , Pan Zhang , Jin-Guo Liu