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We introduce a numerical framework to verify the finite step convergence of first-order methods for parametric convex quadratic optimization. We formulate the verification problem as a mathematical optimization problem where we maximize a…

最优化与控制 · 数学 2025-04-18 Vinit Ranjan , Bartolomeo Stellato

Application of the multi-objective particle swarm optimisation (MOPSO) algorithm to design of water distribution systems is described. An earlier MOPSO algorithm is augmented with (a) local search, (b) a modified strategy for assigning the…

神经与进化计算 · 计算机科学 2019-03-15 Mahesh B. Patil , M. Naveen Naidu , A. Vasan , Murari R. R. Varma

In this work, we propose a novel method to tackle the problem of multiobjective optimization under parameteric uncertainties, by considering the Conditional Pareto Sets and Conditional Pareto Fronts. Based on those quantities we can define…

最优化与控制 · 数学 2026-01-15 Victor Trappler , Céline Helbert , Rodolphe Le Riche

The idea of iterative process optimization based on collected output measurements, or "real-time optimization" (RTO), has gained much prominence in recent decades, with many RTO algorithms being proposed, researched, and developed. While…

最优化与控制 · 数学 2013-08-29 Gene A. Bunin , Grégory François , Dominique Bonvin

We present HIghly Parallelisable Pareto Optimisation (HIPPO) -- a batch acquisition function that enables multi-objective Bayesian optimisation methods to efficiently exploit parallel processing resources. Multi-Objective Bayesian…

机器学习 · 计算机科学 2022-06-28 Andrei Paleyes , Henry B. Moss , Victor Picheny , Piotr Zulawski , Felix Newman

Optimization of materials performance for specific applications often requires balancing multiple aspects of materials functionality. Even for the cases where generative physical model of material behavior is known and reliable, this often…

Multi-objective optimization is key to solving many Engineering Design problems, where design parameters are optimized for several performance indicators. However, optimization results are highly dependent on how the designs are…

机器学习 · 计算机科学 2021-09-29 Wei Chen , Faez Ahmed

Many computer vision algorithms depend on a variety of parameter choices and settings that are typically hand-tuned in the course of evaluating the algorithm. While such parameter tuning is often presented as being incidental to the…

计算机视觉与模式识别 · 计算机科学 2012-09-25 J. Bergstra , D. Yamins , D. D. Cox

Choosing a suitable ML model is a complex task that can depend on several objectives, e.g., accuracy, fairness, or energy consumption. In practice, this requires trading off multiple, often competing, objectives through multi-objective…

机器学习 · 计算机科学 2026-05-07 Daphne Theodorakopoulos , Marcel Wever , Marius Lindauer

Many complex systems obey to optimality conditions that are usually not simple. Conflicting traits often interact making a Multi Objective Optimization (MOO) approach necessary. Recent MOO research on complex systems report about the Pareto…

物理与社会 · 物理学 2015-09-16 Luís F. Seoane , Ricard Solé

We propose a novel framework for optimizing injection strategies in large-scale CO$_2$ storage combining multi-agent models with multi-objective optimization, and reservoir simulation. We investigate whether agents should form coalitions…

数值分析 · 数学 2024-06-13 Per Pettersson , Sebastian Krumscheid , Sarah Gasda

Machine learning applications frequently come with multiple diverse objectives and constraints that can change over time. Accordingly, trained models can be tuned with sets of hyper-parameters that affect their predictive behavior (e.g.,…

机器学习 · 计算机科学 2022-10-17 Bracha Laufer-Goldshtein , Adam Fisch , Regina Barzilay , Tommi Jaakkola

Many real-world applications require decision-makers to assess the quality of solutions while considering multiple conflicting objectives. Obtaining good approximation sets for highly constrained many-objective problems is often a difficult…

As modern electronic devices are increasingly miniaturized and integrated, their performance relies more heavily on effective thermal management. Two-phase cooling methods enhanced by porous surfaces, which capitalize on thin-film…

机器学习 · 计算机科学 2023-10-31 Jonathan Tammer Eweis-LaBolle , Chuanning Zhao , Yoonjin Won , Ramin Bostanabad

The performance of any Machine Learning (ML) algorithm is impacted by the choice of its hyperparameters. As training and evaluating a ML algorithm is usually expensive, the hyperparameter optimization (HPO) method needs to be…

机器学习 · 计算机科学 2022-09-12 Alejandro Morales-Hernández , Inneke Van Nieuwenhuyse , Gonzalo Nápoles

This paper addresses the challenge of dynamic multi-objective optimization problems (DMOPs) by introducing novel approaches for accelerating prediction strategies within the evolutionary algorithm framework. Since the objectives of DMOPs…

神经与进化计算 · 计算机科学 2024-11-14 Ru Lei , Lin Li , Rustam Stolkin , Bin Feng

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…

统计方法学 · 统计学 2023-03-09 Lucy L. Gao , Jane J. Ye , Shangzhi Zeng , Julie Zhou

Most machine learning algorithms are configured by one or several hyperparameters that must be carefully chosen and often considerably impact performance. To avoid a time consuming and unreproducible manual trial-and-error process to find…

One of the most critical issues in machine learning is the selection of appropriate hyper parameters for training models. Machine learning models may be able to reach the best training performance and may increase the ability to generalize…

机器学习 · 计算机科学 2023-02-23 Caner Erden , Halil Ibrahim Demir , Abdullah Hulusi Kökçam

General purpose optimization techniques can be used to solve many problems in engineering computations, although their cost is often prohibitive when the number of degrees of freedom is very large. We describe a multilevel approach to speed…

最优化与控制 · 数学 2022-07-26 Rosa Donat , Sergio López Ureña