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We introduce a surrogate-based black-box optimization method, termed Polynomial-model-based optimization (PMBO). The algorithm alternates polynomial approximation with Bayesian optimization steps, using Gaussian processes to model the error…

最优化与控制 · 数学 2024-03-13 Janina Schreiber , Pau Batlle , Damar Wicaksono , Michael Hecht

Evolutionary algorithms are bio-inspired algorithms that can easily adapt to changing environments. Recent results in the area of runtime analysis have pointed out that algorithms such as the (1+1)~EA and Global SEMO can efficiently…

神经与进化计算 · 计算机科学 2022-06-07 Vahid Roostapour , Aneta Neumann , Frank Neumann

We propose a multi-swarm approach to approximate the Pareto front of general multi-objective optimization problems that is based on the Consensus-based Optimization method (CBO). The algorithm is motivated step by step beginning with a…

最优化与控制 · 数学 2022-11-30 Kathrin Klamroth , Michael Stiglmayr , Claudia Totzeck

Over the past two decades, descent methods have received substantial attention within the multiobjective optimization field. Nonetheless, both theoretical analyses and empirical evidence reveal that existing first-order methods for…

最优化与控制 · 数学 2024-11-13 Jian Chen , Liping Tang , Xinmin Yang

We present MESMOC+, an improved version of Max-value Entropy search for Multi-Objective Bayesian optimization with Constraints (MESMOC). MESMOC+ can be used to solve constrained multi-objective problems when the objectives and the…

Discrete and mixed-variable optimization problems have appeared in several real-world applications. Most of the research on mixed-variable optimization considers a mixture of integer and continuous variables, and several integer handlings…

最优化与控制 · 数学 2024-08-26 Kento Uchida , Ryoki Hamano , Masahiro Nomura , Shota Saito , Shinichi Shirakawa

Selection of perefect parameters for low-pass filters can sometimes be an expensive problem with no analytical solution or differentiability of cost function. In this paper, we introduce a new PSO-inspired algorithm, that incorporates the…

最优化与控制 · 数学 2024-02-20 Dmytro Shchyrba , Izabela Paniczek

Consider a multiuser downlink beamforming optimization problem for the non-orthogonal multiple access (NOMA) transmission in a multiple-input single-output (MISO) system. The total transmission power minimization problem is formulated…

信号处理 · 电气工程与系统科学 2018-12-03 Yongwei Huang , Longtao Zhou

Optimization of frame structures is formulated as a~non-convex optimization problem, which is currently solved to local optimality. In this contribution, we investigate four optimization approaches: (i) general non-linear optimization, (ii)…

最优化与控制 · 数学 2019-09-17 Marek Tyburec , Jan Zeman , Martin Kružík , Didier Henrion

Many optimization problems arising in applications have to consider several objective functions at the same time. Evolutionary algorithms seem to be a very natural choice for dealing with multi-objective problems as the population of such…

神经与进化计算 · 计算机科学 2013-09-17 Tobias Friedrich , Frank Neumann , Christian Thyssen

Optimal Lens Design constitutes a fundamental, long-standing real-world optimization challenge. Potentially large number of optima, rich variety of critical points, as well as solid understanding of certain optimal designs per simple…

计算工程、金融与科学 · 计算机科学 2021-05-25 Anna V. Kononova , Ofer M. Shir , Teus Tukker , Pierluigi Frisco , Shutong Zeng , Thomas Bäck

Optimisation problems often have multiple conflicting objectives that can be computationally and/or financially expensive. Mono-surrogate Bayesian optimisation (BO) is a popular model-based approach for optimising such black-box functions.…

机器学习 · 计算机科学 2022-08-11 George De Ath , Tinkle Chugh , Alma A. M. Rahat

Multi-frame methods improve monocular depth estimation over single-frame approaches by aggregating spatial-temporal information via feature matching. However, the spatial-temporal feature leads to accuracy degradation in dynamic scenes. To…

计算机视觉与模式识别 · 计算机科学 2023-12-20 Jiquan Zhong , Xiaolin Huang , Xiao Yu

Large language models (LLMs) are increasingly deployed in real-world applications that require careful balancing of multiple, often conflicting, objectives, such as informativeness versus conciseness, or helpfulness versus creativity.…

机器学习 · 计算机科学 2025-08-12 Qiang He , Setareh Maghsudi

This paper presents a new implementation of deterministic multiobjective (MO) optimization called Multiobjective Fractal Decomposition Algorithm (Mo-FDA). The original algorithm was designed for mono-objective large scale continuous…

分布式、并行与集群计算 · 计算机科学 2019-08-07 Leo Souquet , Amir Nakib

Multi-objective evolutionary algorithms (MOEAs) are essential for solving complex optimization problems, such as the diet problem, where balancing conflicting objectives, like cost and nutritional content, is crucial. However, most MOEAs…

神经与进化计算 · 计算机科学 2026-01-05 Gustavo V. Nascimento , Ivan R. Meneghini , Valéria Santos , Eduardo Luz , Gladston Moreira

Multimodality is one of the biggest difficulties for optimization as local optima are often preventing algorithms from making progress. This does not only challenge local strategies that can get stuck. It also hinders meta-heuristics like…

神经与进化计算 · 计算机科学 2020-10-05 Vera Steinhoff , Pascal Kerschke , Pelin Aspar , Heike Trautmann , Christian Grimme

Imaging in radioastronomy is an ill-posed inverse problem. Particularly the Event Horizon Telescope (EHT) Collaboration investigated the fidelity of their image reconstructions convincingly by large surveys solving the problem with…

天体物理仪器与方法 · 物理学 2023-07-05 Hendrik Müller , Alejandro Mus , Andrei Lobanov

In this paper, we propose a variable metric method for unconstrained multiobjective optimization problems (MOPs). First, a sequence of points is generated using different positive definite matrices in the generic framework. It is proved…

最优化与控制 · 数学 2022-07-18 Jian Chen , Gaoxi Li , Xinmin Yang

The multi-objective optimization is to optimize several objective functions over a common feasible set. Since the objectives usually do not share a common optimizer, people often consider (weakly) Pareto points. This paper studies…

最优化与控制 · 数学 2023-12-05 Jiawang Nie , Zi Yang