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Relevant combinatorial optimization problems (COPs) are often NP-hard. While they have been tackled mainly via handcrafted heuristics in the past, advances in neural networks have motivated the development of general methods to learn…

Machine Learning · Computer Science 2025-09-05 Tim Dernedde , Daniela Thyssens , Sören Dittrich , Maximilian Stubbemann , Lars Schmidt-Thieme

In the field of global optimization, many existing algorithms face challenges posed by non-convex target functions and high computational complexity or unavailability of gradient information. These limitations, exacerbated by sensitivity to…

Optimization and Control · Mathematics 2023-10-16 Xinyu Zhang , Sujit Ghosh

The area of scientific research that deals with the simultaneous optimization of several (possibly conflicting) criteria is named multi-objective optimization. The ability to efficiently filter and extract interesting data out of large…

Databases · Computer Science 2022-02-22 Giovanni Lupi

Constrained submodular optimization problems play a key role in the area of combinatorial optimization as they capture many NP-hard optimization problems. So far, Pareto optimization approaches using multi-objective formulations have been…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Frank Neumann , Günter Rudolph

Machine learning methods have been used to accelerate the molecule optimization process. However, efficient search for optimized molecules satisfying several properties with scarce labeled data remains a challenge for machine learning…

Biomolecules · Quantitative Biology 2022-12-20 Xin Xia , Yansen Su , Chunhou Zheng , Xiangxiang Zeng

Some real problems require the evaluation of expensive and noisy objective functions. Moreover, the analytical expression of these objective functions may be unknown. These functions are known as black-boxes, for example, estimating the…

Machine Learning · Statistics 2021-07-12 Lucia Asencio Martín , Eduardo C. Garrido-Merchán

Optimization of very expensive black-box functions requires utilization of maximum information gathered by the process of optimization. Model Guided Sampling Optimization (MGSO) forms a more robust alternative to Jones'…

Neural and Evolutionary Computing · Computer Science 2015-09-01 Lukas Bajer , Martin Holena

Microgrid serves as a promising solution to integrate and manage distributed renewable energy resources. In this paper, we establish a stochastic multi-objective sizing optimization (SMOSO) model for microgrid planning, which fully captures…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Xiang Zhu , Guangchun Ruan , Hua Geng , Honghai Liu , Mingfei Bai , Chao Peng

Recent research has proposed a series of specialized optimization algorithms for deep multi-task models. It is often claimed that these multi-task optimization (MTO) methods yield solutions that are superior to the ones found by simply…

Machine Learning · Computer Science 2022-09-26 Derrick Xin , Behrooz Ghorbani , Ankush Garg , Orhan Firat , Justin Gilmer

Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

Machine Learning · Statistics 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

Choices in scientific research and management require balancing multiple, often competing objectives.Multiple-objective optimization (MOO) provides a unifying framework for solving multiple objective problems. Model selection is a critical…

Applications · Statistics 2018-10-26 Perry Williams , William Kendall , Mevin Hooten

Many real-world optimization problems can be stated in terms of submodular functions. Furthermore, these real-world problems often involve uncertainties which may lead to the violation of given constraints. A lot of evolutionary…

Neural and Evolutionary Computing · Computer Science 2024-11-04 Aneta Neumann , Frank Neumann

Modern machine learning tasks often require considering not just one but multiple objectives. For example, besides the prediction quality, this could be the efficiency, robustness or fairness of the learned models, or any of their…

Machine Learning · Computer Science 2022-08-30 Peter Súkeník , Christoph H. Lampert

In this paper, we introduce a novel approach to multi-modal optimization by enhancing the recently developed kinetic-based optimization (KBO) method with genetic dynamics (GKBO). The proposed method targets objective functions with multiple…

Numerical Analysis · Mathematics 2024-11-12 Federica Ferrarese , Claudia Totzeck

We address the problem of multiple local optima arising due to non-convex objective functions in cooperative multi-agent optimization problems. To escape such local optima, we propose a systematic approach based on the concept of boosting…

Optimization and Control · Mathematics 2020-07-16 Shirantha Welikala , Christos G. Cassandras

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

We typically construct optimal designs based on a single objective function. To better capture the breadth of an experiment's goals, we could instead construct a multiple objective optimal design based on multiple objective functions. While…

Methodology · Statistics 2023-03-09 Lucy L. Gao , Jane J. Ye , Shangzhi Zeng , Julie Zhou

Multi-objective Bayesian optimization (MOBO) provides a principled framework for optimizing expensive black-box functions with multiple objectives. However, existing MOBO methods often struggle with coverage, scalability with respect to the…

Machine Learning · Computer Science 2026-04-20 Yaohong Yang , Sammie Katt , Samuel Kaski

We study a general scalarization approach via utility functions in multi-objective optimization. It consists of maximizing utility which is obtained from the objectives' bargaining with regard to a disagreement reference point. The…

Optimization and Control · Mathematics 2024-01-26 Lorenzo Lampariello , Simone Sagratella , Valerio Giuseppe Sasso , Vladimir Shikhman

In recent years, there has been significant research interest in solving Quadratic Unconstrained Binary Optimisation (QUBO) problems. Physics-inspired optimisation algorithms have been proposed for deriving optimal or sub-optimal solutions…

Artificial Intelligence · Computer Science 2023-09-12 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Matthieu Parizy
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